[User]
Okay, so I'm working on a project to replace some buttons on an Xbox 360 controller, and I've got a basic OpenSCAD file going, but it's not as parametric as I'd like and I'm having some trouble making the text bits work right.

Here's what I've got so far: I have a module for a "home" button, which is a circle with two tabs, and a recessed logo. I've also got a module for "oval" buttons which have an oval shape and tabs. I also have a simple module for "other" buttons, which are just cylinders.

I'm using a custom `write.scad` library to add text and symbols to the buttons, and I think this is where some of my struggles are coming from. I'd like a more flexible design where I can easily adjust things like the button diameters, tab widths and heights, button heights, and how far the text is recessed, all controlled by variables. I also want to be able to adjust the text height and the text's offset. I'm having some trouble getting the "write" module's `center` option to behave the way I expect it to, specifically with rotating the text for the oval buttons.

Specifically, I would like:

*   **Home Button:**
    *   Parametric `homeButtonDiameter`, `homeTab1Width`, `homeTab2Width`, `homeTabHeight`, `homeTabLength`, `homeWallThickness`, and `hopeButtonCrossDepth` (the depth of the hole in the back).
    *   The TCP logo to be imported from the "TCPLogo.dxf" file.
    *   A circular cutout controlled by `logoOutline` for the logo.
*   **Oval Button:**
    *   Parametric `ovalButtonX` and `ovalButtonY` (for the oval shape), `textHeight` for the text on top of the oval, `ovalTabbingHeight`, `ovalTab1Width`, `ovalTab2Width`.
    *   The button should be rotatable with a variable in each case as I plan to rotate it 180 degrees for LB vs RB.
*   **Other Buttons:**
    *   Parametric `otherButtonsDiameter`
*   **General Parameters:**
    *   `buttonHeight`, `markingDepth` (how far the text is recessed), `tabLength`, and `printGap` (distance between the buttons).
*   **Text/Symbol Handling:**
    *   The text for the oval buttons ("RB" and "LB") should be centered on the top of the oval, recessed into the button by `markingDepth`, and the height is controlled by `textHeight`. The text should be created using the `write.scad` library. The "LB" button should be rotated 180 degrees from the "RB" button.
    *   The back button symbol should be created using `linear_extrude` to extrude the "Triangle.dxf" shape, and then recessed into the oval shape with a similar marking depth.
*   **Library:**
   *   I need the `write.scad` library included and functioning.

I'd like the code to have modules for `ovalButton`, `homeButton`, `otherButtons`, `ovalRB`, `ovalLB`, and `ovalBack` so I can instantiate them as needed.

I'm also finding the `write.scad` library a little tricky to understand, so if you have tips on using it, that would be helpful. I'm not very familiar with how text is handled in OpenSCAD beyond basic extrusions. I have made a dxf for each character for the text, and it should be importing from the corresponding layers.

Can you help me rewrite this to be more flexible and get the text placement correct?

[Assistant]
XboxReplacementButtons.scad:
```
include<write.scad>

homeButtonDiameter=14.5;
homeTab1Width=4;
homeTab2Width=2.4;
homeTabHeight=1;
homeTabLength=1;
homeWallThickness=2;
hopeButtonCrossDepth=2.4;

ovalButtonX=7.4;
ovalButtonY=6.4;
textHeight=ovalButtonY*.5;
ovalTabbingHeight=1.5;
ovalTab1Width=2;
ovalTab2Width=4;

buttonHeight=17.2;
markingDepth=.5;

otherButtonsDiameter=10.2;

tabLength=1.25;
printGap=20;
logoOutline=10;

module ovalButton(){
	union(){
		intersection(){
			hull(){
				translate([ovalButtonX/2-ovalButtonY/2,0,0])cylinder(r=ovalButtonY/2,h=buttonHeight);
				translate([-ovalButtonX/2+ovalButtonY/2,0,0])cylinder(r=ovalButtonY/2,h=buttonHeight);
			}
		sphere(r=buttonHeight);
		}
	translate([-ovalTab1Width/2,0,0])cube([ovalTab1Width,tabLength+ovalButtonY/2,ovalTabbingHeight]);
		rotate([0,0,180])translate([-ovalTab2Width/2,0,0])cube([ovalTab2Width,tabLength+ovalButtonY/2,ovalTabbingHeight]);
	}
}

module homeButton(){
	difference(){
		union(){
			intersection(){
				cylinder(r=homeButtonDiameter/2,h=buttonHeight);
				sphere(r=buttonHeight-markingDepth);
			}
			intersection(){
				linear_extrude(buttonHeight+markingDepth)import("TCPLogo.dxf");
				sphere(r=buttonHeight);
			}
			difference(){
				intersection(){
					cylinder(r=homeButtonDiameter/2,h=buttonHeight);
					sphere(r=buttonHeight);
				}
			cylinder(r=logoOutline/2,h=buttonHeight*2);
			}
			intersection(){
				union(){
					translate([-homeTab1Width/2,0,0])cube([homeTab1Width,homeButtonDiameter/2+homeTabLength,homeTabLength]);
					rotate([0,0,180])translate([-homeTab1Width/2,0,0])cube([homeTab2Width,homeButtonDiameter/2+homeTabLength,homeTabLength]);
				}
				cylinder(r=homeButtonDiameter/2+homeTabLength,h=buttonHeight);
			}
		}
	translate([0,0,-.5])cylinder(r=homeButtonDiameter/2-homeWallThickness,h=hopeButtonCrossDepth+.5);
	}
}

module otherButtons(){
	intersection(){
		cylinder(r=otherButtonsDiameter/2,h=buttonHeight);
	sphere(r=buttonHeight);
	}
}
module ovalRB(){
	difference(){
		ovalButton();
		translate([0,0,buttonHeight-markingDepth])write("RB",t=5*markingDepth,h=textHeight,center=true);
	}
}
module ovalLB(){
	difference(){
		rotate([0,0,180])ovalButton();
		translate([0,0,buttonHeight-markingDepth])write("LB",t=5*markingDepth,h=textHeight,center=true);
	}
}
module ovalBack(){
	difference(){
		ovalButton();
		translate([0,0,buttonHeight-markingDepth])linear_extrude(5*markingDepth)import("Triangle.dxf");
	}
}
translate([0,printGap,0])ovalLB();
translate([0,-printGap,0])ovalRB();
homeButton();

```
Write.scad:
```
/* 	Version 3
	Added support for font selection (default is Letters.dxf)
	Added WriteCube module
	Added Rotate for text (rotates on the plane of the text)
	Added writesphere
	Added space=     (spacing between characters in char widths) def=1
	Added writecylinder()

 By Harlan Martin
 harlan@sutlog.com
 January 2012

 (The file TestWrite.scad gives More usage examples)
 (This module requires the file Letters.dxf to reside in the same folder)
 (The file Letters.dfx was created with inkscape..Each letter is in its own layer)
 (This module seperates each letter in the string and imports it from Letters.dfx)

*/

	pi=3.1415926535897932384626433832795028841971693993751058209;
	pi2=pi*2;

// These control the default values for write() writesphere() writecube()
// if the parameters are not included in the call. Feel free to set your own
// defaults.

//default settings
	center=false;
	h = 4;			 //mm letter height
	t = 1; 			//mm letter thickness
	space =1; 			//extra space between characters in (character widths)
	rotate=0;			// text rotation (clockwise)
	font = "Letters.dxf";	//default for aditional fonts

// write cube defaults
	face = "front";	 // default face (top,bottom,left,right,back,front)
	up =0;		 //mm up from center on face of cube
	down=0;
	right =0;		 //mm left from center on face of cube
	left=0;

// write sphere defaults
	rounded=false;	 //default for rounded letters on writesphere
	north=0; 		// intial text position (I suggest leave these 0 defaults)
	south=0;
	east=0;
	west=0;
	spin=0;
// writecylinder defaults
	middle=0;     //(mm toward middle of circle)
	ccw=false;   //write on top or bottom in a ccw direction
 	r1=0; 	//(not implimented yet)
	r2=0;	 	//(not implimented yet)

// Contact me if your interested in how to make your own font files
// Its tedious and time consuming, but not very hard

module writecylinder(text,where,radius,height){
	wid=(.125* h *5.5 * space);
	widall=wid*(len(text)-1)/2;
	//angle that measures width of letters on sphere
	function NAngle(radius)=(wid/(pi2*radius))*360;
	//angle of half width of text
	function mmangle(radius)=(widall/(pi2*radius)*360);

	if ((face=="top")||(face=="bottom") ){
		if (face=="top" ){
			if (center==true){
				writecircle(text,where+[0,0,height/2],radius-h,rotate=rotate,font=font,h=h,t=t,
				space=space,east=east,west=west,middle=middle,ccw=ccw);
			}else{
				writecircle(text,where+[0,0,height],radius-h,rotate=rotate,font=font,h=h,t=t,
				space=space,east=east,west=west,middle=middle,ccw=ccw);
			}
		}else{
			rotate(180,[1,0,0])
			if (center==true){
				writecircle(text,where+[0,0,height/2],radius-h,rotate=rotate,font=font,h=h,t=t,
				space=space,east=east,west=west,middle=middle,ccw=ccw);
			}else{
				writecircle(text,where+[0,0,0],radius-h,rotate=rotate,font=font,h=h,t=t,
				space=space,east=east,west=west,middle=middle,ccw=ccw);
			}
		}

	}else{
//		if (radius>0){
			if (center==true)  {
				rotate(-mmangle(radius)*(1-abs(rotate)/90),[0,0,1])
				translate(where)
				writethecylinder(text,where,radius,height,r1=radius,r2=radius,h=h,
					rotate=rotate,t=t,font=font,face=face,up=up,down=down,
					east=east,west=west,center=center,space=space,rounded=rounded);
			} else{
				rotate(-mmangle(radius)*(1-abs(rotate)/90),[0,0,1])
				translate(where+[0,0,height/2])
					writethecylinder(text,where,radius,height,r1=radius,r2=radius,h=h,
					rotate=rotate,t=t,font=font,face=face,up=up,down=down,
					east=east,west=west,center=center,space=space,rounded=rounded);
			}
// the remarked out code is for cone shaped cylinders (not complete)
//		}else{
//			if (center==true)  {
//				rotate(-mmangle(radius)*(1-abs(rotate)/90),[0,0,1])
//				translate(where)
//				writethecylinder(text,where,radius,height,r1=r1,r2=r2,h=h,
//					rotate=rotate,t=t,font=font,face=face,up=up,down=down,
//					east=east,west=west,center=center,space=space,rounded=rounded);
//			} else{
//				rotate(-mmangle(radius)*(1-abs(rotate)/90),[0,0,1])
//				translate(where+[0,0,height/2])
//					writethecylinder(text,where,radius,height,r1=r1,r2=r2,h=h,
//					rotate=rotate,t=t,font=font,face=face,up=up,down=down,
//					east=east,west=west,center=center,space=space,rounded=rounded);
//			}
//		}
	}
}
module writecircle(text,where,radius){
	wid=(.125* h *5.5 * space);
	widall=wid*(len(text)-1)/2;
	//angle that measures width of letters on sphere
	function NAngle(radius)=(wid/(pi2*radius))*360;
	//angle of half width of text
	function mmangle(radius)=(widall/(pi2*radius)*360);

	if (ccw==true){
		rotate(-rotate+east-west,[0,0,1]){
			rotate(-mmangle(radius-middle),[0,0,1]){
			translate(where)
				for (r=[0:len(text)-1]){
					rotate(-90+r*NAngle(radius-middle),[0,0,1]) // bottom out=-270+r
					translate([radius-middle,0,0])
					//rotate(90,[1,0,0])
					//rotate(90,[0,1,0])
					rotate(-270,[0,0,1])  // flip text (botom out = -270)
					write(text[r],center=true,h=h,t=t,font=font);
				}
			}
		}
	}else{
		rotate(-rotate-east+west,[0,0,1]){
			rotate(mmangle(radius-middle),[0,0,1]){
			translate(where)
				for (r=[0:len(text)-1]){
					rotate(90-r*NAngle(radius-middle),[0,0,1]) // bottom out=-270+r
					translate([radius-middle,0,0])
					//rotate(90,[1,0,0])
					//rotate(90,[0,1,0])
					rotate(270,[0,0,1])  // flip text (botom out = -270)
					write(text[r],center=true,h=h,t=t,font=font);
				}
			}
		}
	}

}
module writethecylinder(text,where,radius,height,r1,r2){
	wid=(.125* h *5.5 * space);
	widall=wid*(len(text)-1)/2;
	//angle that measures width of letters on sphere
	function NAngle(radius)=(wid/(pi2*radius))*360*(1-abs(rotate)/90);
	//angle of half width of text

	function mmangle(radius)=(widall/(pi2*radius)*360);
			translate([0,0,up-down])
			rotate(east-west,[0,0,1])
			for (r=[0:len(text)-1]){
				rotate(-90+(r*NAngle(radius)),[0,0,1])
				translate([radius,0,-r*((rotate)/90*wid)+(len(text)-1)/2*((rotate)/90*wid)])
				rotate(90,[1,0,0])
				rotate(90,[0,1,0])
				write(text[r],center=true,h=h,rotate=rotate,t=t,font=font);
		//echo("zloc=",height/2-r*((rotate)/90*wid)+(len(text)-1)/2*((rotate)/90*wid));
			}

}

module writesphere(text,where,radius){
	wid=(.125* h *5.5 * space);
	widall=wid*(len(text)-1)/2;

	echo("-----------------",widall,wid,mmangle(radius));
	//angle that measures width of letters on sphere
	function NAngle(radius)=(wid/(pi2*radius))*360;
	//angle of half width of text
	function mmangle(radius)=(widall/(pi2*radius)*360);

	rotate(east-west,[0,0,1]){
	rotate(south-north,[1,0,0]){
	rotate(spin,[0,1,0]){
	rotate(-mmangle(radius),[0,0,1]){
		if ( rounded== false ){
			translate(where)
			for (r=[0:len(text)-1]){
				rotate(-90+r*NAngle(radius),[0,0,1])
				translate([radius,0,0])
				rotate(90,[1,0,0])
				rotate(90,[0,1,0])
				write(text[r],center=true,h=h,rotate=rotate,t=t,font=font);
			}
		}else{
			difference(){
				translate(where)
				for (r=[0:len(text)-1]){
					rotate(-90+r*NAngle(radius),[0,0,1])
					translate([radius,0,0])
					rotate(90,[1,0,0])
					rotate(90,[0,1,0])
					write(text[r],center=true,h=h,rotate=rotate,t=t*2+h,font=font);
				}
				difference(){ //rounded outside
					sphere(radius+(t*2+h)*2);
					sphere(radius+t/2);
				}
				sphere(radius-t/2); // rounded inside for indented text
			}
		}
	}
}}}
}

module writecube(text,where,size){
	if (str(size)[0] != "["){
		// its a square cube (size was not a matrix so make it one)
		writethecube(text,where,[size,size,size],h=h,rotate=rotate,space=space,
		t=t,font=font,face=face,up=up,down=down,right=right,left=left);

	}else{
		// its not square
		writethecube(text,where,size,h=h,rotate=rotate,space=space,
		t=t,font=font,face=face,up=up,down=down,right=right,left=left);
	}
}
// I split the writecube module into 2 pieces.. easier to add features later
module writethecube(text,where,size){
		if (face=="front") {
			translate([where[0]+right-left,where[1]-size[1]/2,where[2]+up-down])
			rotate(90,[1,0,0])
			write(text,center=true,h=h,rotate=rotate,t=t,font=font);
		}
		if (face=="back") {
			translate([where[0]+right-left,where[1]+size[1]/2,where[2]+up-down])
			rotate(90,[1,0,0])   // rotate around the x axis
			rotate(180,[0,1,0])  // rotate around the y axis (z before rotation)
			write(text,center=true,h=h,rotate=rotate,t=t,font=font);
		}
		if (face=="left") {
			translate([where[0]-size[0]/2,where[1]-right+left,where[2]+up-down ])
			rotate(90,[1,0,0])   // rotate around the x axis
			rotate(90,[0,-1,0])  // rotate around the y axis  (z before rotation)
			write(text,center=true,h=h,rotate=rotate,t=t,font=font);
		}
		if (face=="right") {
			translate([where[0]+size[0]/2,where[1]+right-left,where[2] +up-down])
			rotate(90,[1,0,0])   // rotate around the x axis
			rotate(90,[0,1,0])  // rotate around the y axis  (z before rotation)
			write(text,center=true,h=h,rotate=rotate,t=t,font=font);
		}
		if (face=="top") {
			translate([where[0]+right-left,where[1]+up-down,where[2]+size[2]/2 ])
			write(text,center=true,h=h,rotate=rotate,t=t,font=font);
		}
		if (face=="bottom") {
			translate([where[0]+right-left,where[1]-up+down,where[2]-size[2]/2 ])
			rotate(180,[1,0,0])
			write(text,center=true,h=h,rotate=rotate,t=t,font=font);
		}
}

module write(word){

	echo (h);
	echo (word);
	echo ("There are " ,len(word) ," letters in this string");
//	echo ("The second letter is ",word[1]);
//	echo (str(word[0],"_"));
rotate(rotate,[0,0,-1]){
	for (r = [0:len(word)]){   // count off each character
		// if the letter is lower case, add an underscore to the end for file lookup
		if ((word[r] == "a" ) || (word[r]== "b")  || (word[r]== "c")
	 	  || (word[r]== "d") || (word[r]== "e") || (word[r]== "f")
	 	  || (word[r]== "g") || (word[r]== "h")  || (word[r]== "i")
       	  	  || (word[r]== "j") || (word[r]== "k") || (word[r]== "l")
       	 	  || (word[r]== "m") || (word[r]== "n") || (word[r]== "o")
       	 	  || (word[r]== "p") || (word[r]== "q") || (word[r]== "r")
	 	  || (word[r]== "s") || (word[r]== "t") || (word[r]== "u")
       	 	  || (word[r]== "v") || (word[r]== "w") || (word[r]== "x")
       	 	  || (word[r]== "y" )|| (word[r]== "z")){
			if (center == true)  {
				translate([0,-h/2,0]){
					scale([.125*h,.125*h,t]){
						translate([ (-len(word)*5.5*space/2) + (r*5.5*space),0,0])
						linear_extrude(height=1,convexity=10,center=true){
							import(file = font,layer=str(word[r],"_"));
						}
					}
				}
			}else{
				translate([0,0,t/2]){
					scale([.125*h,.125*h,t]){
						translate([r*5.5*space,0,0])
						linear_extrude(height=1,convexity=10,center=true){
							import(file = font,layer=str(word[r],"_"));
						}
					}
				}
			}

		}else{
			if (center == true)  {
				translate([0,-h/2,0]){
					scale([.125*h,.125*h,t]){
						translate([ (-len(word)*5.5*space/2) + (r*5.5*space),0,0])
						linear_extrude(height=1,convexity=10,center=true){
							import(file = font,layer=str(word[r]));
						}
					}
				}
			}else{
				translate([0,0,t/2]){
					scale([.125*h,.125*h,t]){
						translate([r*5.5*space,0,0])
						linear_extrude(height=1,convexity=10,center=true){
							import(file = font,layer=str(word[r]));
						}
					}
				}
			}
		}
	}
}
}

/*writecylinder test
translate([0,0,0])
%cylinder(r=20,h=40,center=true);
color([1,0,0])
writecylinder("rotate=90",[0,0,0],20,40,center=true,down=0,rotate=90);
writecylinder("rotate = 30,east = 90",[0,0,0],20,40,center=true,down=0,rotate=30,east=90);
writecylinder("ccw = true",[0,0,0],20,40,center=true,down=0,face="top",ccw=true);
writecylinder("middle = 8",[0,0,0],20,40,h=3,center=true,down=0,face="top",middle=8);
writecylinder("face = top",[0,0,0],20,40,center=true,down=0,face="top");
writecylinder("east=90",[0,0,0],20,40,h=3,center=true,down=0,face="top",east=90);
writecylinder("west=90",[0,0,0],20,40,h=3,center=true,down=0,face="top",ccw=true,west=90);
writecylinder("face = bottom",[0,0,0],20,40,center=true,down=0,face="bottom");
*/
/*writesphere test
sphere(20);
color([1,0,0])
writesphere("Hello World",[0,0,0],20,t=1,h=6);
*/
/* writecube test
translate([30,30,30])
cube([10,15,30],center=true);
write("hello",center=true,rotate =30);
color([1,0,0])
writecube( "front",[30,30,30],[10,15,30],h=5,rotate=-90);
color([0,1,0])
writecube( "back",[30,30,30],size=[10,15,30],h=5,face="back",rotate=90,t=4);
color([0,0,1])
writecube( "left",[30,30,30],[10,15,30],h=5,face="left",up=5);
color([1,1,0])
writecube( "right",where=[30,30,30],size=[10,15,30],h=5,face="right",rotate=55);
color([1,0,1])
writecube( "top",where=[30,30,30],size=[10,15,30],h=5,face="top");
color([1,1,1])
writecube( "bttm",where=[30,30,30],size=[10,15,30],h=5,face="bottom",rotate=90);
*/

```


[User]
Okay, I'm looking to have a parametric OpenSCAD design created for a Y-axis belt tensioner for my printrbot GO. I've seen a design, "printrbot_GO_Y_Belt_Tensioner_081713.scad", that I like, but it's not quite as flexible as I need it to be.

Here's what I want in the design:

**General:**

*   The design should be fully parametric, allowing me to easily adjust dimensions for different belt types and printer configurations.
*   The tensioner should consist of three main parts: a belt grip wedge, the main tensioner body, and a mounting bracket. It would be nice to be able to generate just one or all of the parts
*   The mounting bracket needs to replace the original belt clamps and use the same mounting screws.
*   The design needs to be robust and suitable for 3D printing.

**Belt Grip Wedge:**

*   I need the design to support both standard (MXL/Imperial) and GT2 belts.
*   The wedge needs to have a channel for the belt, including teeth or ribs as appropriate, and ideally it would allow for slight variations in belt thickness. The current design uses these parameters, `Belt0_Min_Thickness`, `Belt0_Max_Thickness`, `Belt0_Teeth_Spacing`, `Belt0_Tooth_Width`, `Belt0_Height`, `Shift0` for standard and `Belt1_Min_Thickness`, `Belt1_Max_Thickness`, `Belt1_Teeth_Spacing`, `Belt1_Tooth_Width`, `Belt1_Height`, `Shift1` for GT2. These should be retained as parameters.
*   The wedge should have a bevel to aid in belt insertion.

**Tensioner Body:**

*   This should have a slot that the belt grip wedge slides into.
*   It needs two holes for adjustment screws, and the separation between these holes should be a parameter. The current design calls this `Adjusting_Separation`.
*   The design should be suitable for using trapped nuts.
*   The tensioner body should be robust and able to withstand the pressure of belt tensioning.
*   The current design uses this to determine the height of the body: `Mount_Height`, but perhaps a more appropriate parameter name is desired.

**Mounting Bracket:**

*   It should have mounting holes with a specific diameter and separation distance.  Currently the design uses `Mount_Hole_Diameter` and `Mount_Separation`, and this should remain the case.
*   It should have counterbores or countersinks to recess the screw heads.
*   The mounting holes need to match the existing holes on the printrbot GO frame.
*   The mounting bracket should have a channel for the belt to pass through.
*  The bracket should include trapped nut recesses for adjusting bolts, using parameters for nut width, height, and clearance. The current design uses `Nut_Width`, `Nut_Height`, and `Clearance`.
* The mount should have a parameter controlling the width (parallel with the belt): currently `Mount_Width`.
*  The bracket should have a parameter controlling the thickness of the bracket at the mounting holes: currently `Mount_Thickness`.
*  The amount of material used to support the trapped nuts should be configurable via parameter: currently `Nut_Support`.

**Additional Parameters:**

*   It would be good to also include `$fs` for controlling the number of facets rendered, and perhaps `$fa`.
*   It would be good to have a `Padding` parameter to ensure the designs are manifold.
*   A `Belt_Type` parameter should exist to switch between the standard and GT2 belt configurations

**Libraries:**

*   I am not using any libraries, but feel free to use the NopSCADlib for the polyhole function.

I'd like this design to be easy to use and modify for different printers if needed, so clear variable names and comments are appreciated. Can you generate the OpenSCAD file for this?

[Assistant]
printrbot_GO_Y_Belt_Tensioner_081713.scad:
```
//Printrbot GO Y-axis Belt Tensioner by John Davis 8-17-13
//Polyhole module by nophead

// Which part would you like to make?
part = "All"; // [Wedge: Belt Grip Wedge,Tensioner,Mount, All]

/*[Belt Type]*/
//Standard or GT2
Belt_Type="GT2"; //[Standard,GT2]

/*[Mount Dimensions]*/
//Height of mount
Mount_Height=11;
//Width of mount (parallel with belt)
Mount_Width=18;
//Thickness at mounting holes
Mount_Thickness=2.6;
//Distance between mounting holes
Mount_Separation=18.8;
//Mount screw holes
Mount_Hole_Diameter=3.6;
//Distance between adjusting bolts
Adjusting_Separation=14.8;
//Material supporting nut
Nut_Support=3;

/*[Adjusting Bolt and Trapped Nut Dimensions]*/
//Adjusting screw holes
Adjusting_Hole_Diameter=3.2;
//Nut width across flats
Nut_Width=5.5;
//Nut height
Nut_Height=2.4;
//Additional clearance for nut
Clearance=0.2;

/*[Printer Settings]*/
//To control the number facets rendered, fine ~ 0.1 coarse ~1.0. 0.3 is fine for home printers.
$fs = 0.3;

/*[Hidden]*/
//leave $fn disabled, do not change
$fn = 0;
//leave $fa as is, do not change
$fa = 0.01;
//padding to insure manifold, ignore
Padding = 0.01;

Belt0_Min_Thickness=1.2;
Belt0_Max_Thickness=2.4;
Belt0_Teeth_Spacing=5;
Belt0_Tooth_Width=2.3;
Belt0_Height=6.3;
Shift0=0.15;

Belt1_Min_Thickness=0.9;
Belt1_Max_Thickness=1.6;
Belt1_Teeth_Spacing=2;
Belt1_Tooth_Width=1.3;
Belt1_Height=6.1;
Shift1=0.2;

/****************/

print_part();

module print_part() {
	if (part == "Wedge") {
		Belt_Grip_Wedge();
	} else if (part == "Tensioner") {
		Tensioner();
	} else if (part == "Mount") {
		Mount();
	} else {
		Belt_Grip_Wedge();
		Tensioner();
		Mount();
	}
}

module Belt_Grip_Wedge(){
//Belt grip wedge
if(Belt_Type=="GT2"){

	//uncomment for exploded view
	//translate([-(Belt1_Height+3)/2,13.5,Mount_Height/2])
	//rotate([0,90,0])

	//uncomment for printing
	translate([10,10,0])

	difference(){
		linear_extrude(height=Belt1_Height+3)
		polygon(points=[[-Belt1_Max_Thickness/2-1,-(4*Belt1_Teeth_Spacing-Belt1_Tooth_Width)/2],[-Belt1_Max_Thickness/2-1.5,(4*Belt1_Teeth_Spacing-Belt1_Tooth_Width)/2],[Belt1_Max_Thickness/2+1.5,(4*Belt1_Teeth_Spacing-Belt1_Tooth_Width)/2],[Belt1_Max_Thickness/2+1,-(4*Belt1_Teeth_Spacing-Belt1_Tooth_Width)/2]]);

		//channel for belt
		difference(){
			translate([Shift1,0,(Belt1_Height+4.5)/2+1.5])
			cube([Belt1_Max_Thickness,4*Belt1_Teeth_Spacing-Belt1_Tooth_Width+2*Padding,Belt1_Height+3+Padding],center=true);
			translate([-Belt1_Max_Thickness/2+Belt1_Min_Thickness+Shift1,-2*Belt1_Teeth_Spacing+Belt1_Tooth_Width/2,1.5])
			cube([Belt1_Max_Thickness-Belt1_Min_Thickness,Belt1_Teeth_Spacing-Belt1_Tooth_Width,Belt1_Height+1.5+Padding]);
			translate([-Belt1_Max_Thickness/2+Belt1_Min_Thickness+Shift1,-1*Belt1_Teeth_Spacing+Belt1_Tooth_Width/2,1.5])
			cube([Belt1_Max_Thickness-Belt1_Min_Thickness,Belt1_Teeth_Spacing-Belt1_Tooth_Width,Belt1_Height+1.5+Padding]);
			translate([-Belt1_Max_Thickness/2+Belt1_Min_Thickness+Shift1,Belt1_Tooth_Width/2,1.5])
			cube([Belt1_Max_Thickness-Belt1_Min_Thickness,Belt1_Teeth_Spacing-Belt1_Tooth_Width,Belt1_Height+1.5+Padding]);
			translate([-Belt1_Max_Thickness/2+Belt1_Min_Thickness+Shift1,1*Belt1_Teeth_Spacing+Belt1_Tooth_Width/2,1.5])
			cube([Belt1_Max_Thickness-Belt1_Min_Thickness,Belt1_Teeth_Spacing-Belt1_Tooth_Width,Belt1_Height+1.5+Padding]);
		}

		//bevel for channel opening
		translate([Shift1,0,Belt1_Height+3])
		rotate([90,45,0])
		cube([2,2,4*Belt1_Teeth_Spacing-Belt1_Tooth_Width+2*Padding], center=true);
	}
}

if(Belt_Type=="Standard"){

	//uncomment for exploded view
	//translate([-(Belt0_Height+3)/2,20,Mount_Height/2])
	//rotate([0,90,0])

	//uncomment for printing
	translate([10,12,0])

	difference(){
		linear_extrude(height=Belt0_Height+3)
		polygon(points=[[-Belt0_Max_Thickness/2-1,-(3*Belt0_Teeth_Spacing-Belt0_Tooth_Width)/2],[-Belt0_Max_Thickness/2-1.5,(3*Belt0_Teeth_Spacing-Belt0_Tooth_Width)/2],[Belt0_Max_Thickness/2+1.5,(3*Belt0_Teeth_Spacing-Belt0_Tooth_Width)/2],[Belt0_Max_Thickness/2+1,-(3*Belt0_Teeth_Spacing-Belt0_Tooth_Width)/2]]);

		//channel for belt
		difference(){
			translate([Shift0,0,(Belt0_Height+4.5)/2+1.5])
			cube([Belt0_Max_Thickness,3*Belt0_Teeth_Spacing-Belt0_Tooth_Width+2*Padding,Belt0_Height+3+Padding],center=true);
			translate([-Belt0_Max_Thickness/2+Belt0_Min_Thickness+Shift0,-3*Belt0_Teeth_Spacing/2+Belt0_Tooth_Width/2,1.5])
			cube([Belt0_Max_Thickness-Belt0_Min_Thickness,Belt0_Teeth_Spacing-Belt0_Tooth_Width,Belt0_Height+1.5+Padding]);
			translate([-Belt0_Max_Thickness/2+Belt0_Min_Thickness+Shift0,-Belt0_Teeth_Spacing/2+Belt0_Tooth_Width/2,1.5])
			cube([Belt0_Max_Thickness-Belt0_Min_Thickness,Belt0_Teeth_Spacing-Belt0_Tooth_Width,Belt0_Height+1.5+Padding]);
			translate([-Belt0_Max_Thickness/2+Belt0_Min_Thickness+Shift0,Belt0_Teeth_Spacing/2+Belt0_Tooth_Width/2,1.5])
			cube([Belt0_Max_Thickness-Belt0_Min_Thickness,Belt0_Teeth_Spacing-Belt0_Tooth_Width,Belt0_Height+1.5+Padding]);

		}

		//bevel for channel opening
		translate([Shift0,0,Belt0_Height+3])
		rotate([90,45,0])
		cube([2.4,2.4,3*Belt0_Teeth_Spacing-Belt0_Tooth_Width+2*Padding], center=true);
	}
}
}

module Tensioner(){
//Tensioner
if(Belt_Type=="GT2"){

	//uncomment for printing, leave commented for exploded view
	translate([0,0,(4*Belt1_Teeth_Spacing-Belt1_Tooth_Width+2)/2])
	rotate([90,0,0])

	difference(){
		hull(){
		translate([-Adjusting_Separation/2,0,Mount_Height/2])
		rotate([-90,0,0])
		cylinder(r=Mount_Height/2, h=4*Belt1_Teeth_Spacing-Belt1_Tooth_Width+2, center=true);
		translate([Adjusting_Separation/2,0,Mount_Height/2])
		rotate([-90,0,0])
		cylinder(r=Mount_Height/2, h=4*Belt1_Teeth_Spacing-Belt1_Tooth_Width+2, center=true);
		}

		//slot for wedge
		translate([(Belt1_Height+3.4)/2,1.2,Mount_Height/2])
		rotate([0,-90,0])
		linear_extrude(height=Belt1_Height+3.4)
		polygon(points=[[-Belt1_Max_Thickness/2-1.2,-(4*Belt1_Teeth_Spacing-Belt1_Tooth_Width)/2-0.2],[-Belt1_Max_Thickness/2-1.7,(4*Belt1_Teeth_Spacing-Belt1_Tooth_Width)/2+0.2],[Belt1_Max_Thickness/2+1.7,(4*Belt1_Teeth_Spacing-Belt1_Tooth_Width)/2+0.2],[Belt1_Max_Thickness/2+1.2,-(4*Belt1_Teeth_Spacing-Belt1_Tooth_Width)/2-0.2]]);

		//slot for belt
		translate([0,0,Mount_Height/2])
		cube([Belt1_Height+1,4*Belt1_Teeth_Spacing-Belt1_Tooth_Width+2+2*Padding,Belt1_Max_Thickness+1], center=true);

		//hole for adjusting bolt #1
		translate([-Adjusting_Separation/2,(4*Belt1_Teeth_Spacing-Belt1_Tooth_Width+2+2*Padding)/2,Mount_Height/2])
		rotate([90,0,0])
		polyhole(Adjusting_Hole_Diameter,4*Belt1_Teeth_Spacing-Belt1_Tooth_Width+2+2*Padding);

		//hole for adjusting bolt #2
		translate([Adjusting_Separation/2,(4*Belt1_Teeth_Spacing-Belt1_Tooth_Width+2+2*Padding)/2,Mount_Height/2])
		rotate([90,0,0])
		polyhole(Adjusting_Hole_Diameter,4*Belt1_Teeth_Spacing-Belt1_Tooth_Width+2+2*Padding);
	}
}

if(Belt_Type=="Standard"){

	//uncomment for printing, leave commented for exploded view
	translate([0,0,(3*Belt0_Teeth_Spacing-Belt0_Tooth_Width+2)/2])
	rotate([90,0,0])

	difference(){
		hull(){
		translate([-Adjusting_Separation/2,0,Mount_Height/2])
		rotate([-90,0,0])
		cylinder(r=Mount_Height/2, h=3*Belt0_Teeth_Spacing-Belt0_Tooth_Width+2, center=true);
		translate([Adjusting_Separation/2,0,Mount_Height/2])
		rotate([-90,0,0])
		cylinder(r=Mount_Height/2, h=3*Belt0_Teeth_Spacing-Belt0_Tooth_Width+2, center=true);
		}

		//slot for wedge
		translate([(Belt0_Height+3.4)/2,1.2,Mount_Height/2])
		rotate([0,-90,0])
		linear_extrude(height=Belt0_Height+3.4)
		polygon(points=[[-Belt0_Max_Thickness/2-1.2,-(3*Belt0_Teeth_Spacing-Belt0_Tooth_Width)/2-0.2],[-Belt0_Max_Thickness/2-1.7,(3*Belt0_Teeth_Spacing-Belt0_Tooth_Width)/2+0.2],[Belt0_Max_Thickness/2+1.7,(3*Belt0_Teeth_Spacing-Belt0_Tooth_Width)/2+0.2],[Belt0_Max_Thickness/2+1.2,-(3*Belt0_Teeth_Spacing-Belt0_Tooth_Width)/2-0.2]]);

		//slot for belt
		translate([0,0,Mount_Height/2])
		cube([Belt0_Height+2,3*Belt0_Teeth_Spacing-Belt0_Tooth_Width+2+2*Padding,Belt0_Max_Thickness+1], center=true);

		//hole for adjusting bolt #1
		translate([-Adjusting_Separation/2,(3*Belt0_Teeth_Spacing-Belt0_Tooth_Width+2+2*Padding)/2,Mount_Height/2])
		rotate([90,0,0])
		polyhole(Adjusting_Hole_Diameter,3*Belt0_Teeth_Spacing-Belt0_Tooth_Width+2+2*Padding);

		//hole for adjusting bolt #2
		translate([Adjusting_Separation/2,(3*Belt0_Teeth_Spacing-Belt0_Tooth_Width+2+2*Padding)/2,Mount_Height/2])
		rotate([90,0,0])
		polyhole(Adjusting_Hole_Diameter,3*Belt0_Teeth_Spacing-Belt0_Tooth_Width+2+2*Padding);
	}
}
}

module Mount(){

//uncomment for printing
translate([-8,8,(Mount_Separation+2*Mount_Hole_Diameter)/2])
rotate([0,-90,-90])

//uncomment for exploded view
//translate([0,30,0])

//Mount

	difference(){
		translate([0,0,Mount_Height/2])
		cube([Mount_Separation+2*Mount_Hole_Diameter,Mount_Width, Mount_Height], center=true);

		//trapped nut #1
		union(){
			translate([-Adjusting_Separation/2,-Mount_Width/2+Nut_Support,Mount_Height/2])
			rotate([-90,0,0])
			nut();
			translate([-Adjusting_Separation/2,-Mount_Width/2+Nut_Support,Mount_Height/2-Nut_Width/2-Clearance])
			cube([(Nut_Width/2+Clearance)/cos(30),Nut_Height,Nut_Width+2*Clearance]);
		}

		//trapped nut #2
		union(){
			translate([Adjusting_Separation/2,,-Mount_Width/2+Nut_Support,Mount_Height/2])
			rotate([-90,0,0])
			nut();
			translate([Adjusting_Separation/2,-Mount_Width/2+Nut_Support,Mount_Height/2-Nut_Width/2-Clearance])
			cube([(Nut_Width/2+Clearance)/cos(30),Nut_Height,Nut_Width+2*Clearance]);
		}

if(Belt_Type=="GT2"){
		//slot for belt
		translate([0,0,Mount_Height/2])
		cube([Belt1_Height+1,Mount_Width+2*Padding,Belt1_Max_Thickness+1], center=true);
}

if(Belt_Type=="Standard"){
		//slot for belt
		translate([0,0,Mount_Height/2])
		cube([Belt0_Height+2,Mount_Width+2*Padding,Belt0_Max_Thickness+1], center=true);
}

		//mounting hole #1
		translate([-Mount_Separation/2,Mount_Width/2-Mount_Hole_Diameter,-Padding])
		cylinder(r=Mount_Hole_Diameter/2,h=Mount_Height+2*Padding);
		translate([-Mount_Separation/2,Mount_Width/2-Mount_Hole_Diameter,Mount_Thickness])
		cylinder(r=4.5,h=Mount_Height-Mount_Thickness+2*Padding);

		//mounting hole #2
		translate([Mount_Separation/2,Mount_Width/2-Mount_Hole_Diameter,-Padding])
		cylinder(r=Mount_Hole_Diameter/2,h=Mount_Height+2*Padding);
		translate([Mount_Separation/2,Mount_Width/2-Mount_Hole_Diameter,Mount_Thickness])
		cylinder(r=4.5,h=Mount_Height-Mount_Thickness+2*Padding);

		//hole for adjusting bolt #1
		translate([-Adjusting_Separation/2,-Mount_Width/2-Padding,Mount_Height/2])
		rotate([-90,0,0])
		cylinder(r=Adjusting_Hole_Diameter/2,h=Mount_Width+Padding*2);
		//hole for adjusting bolt #2
		translate([Adjusting_Separation/2,-Mount_Width/2-Padding,Mount_Height/2])
		rotate([-90,0,0])
		cylinder(r=Adjusting_Hole_Diameter/2,h=Mount_Width+Padding*2);

		//cut away
		hull(){
			translate([-Mount_Separation/2-Mount_Hole_Diameter-Padding,Mount_Width/2,Mount_Height])
			rotate([0,90,0])
			cylinder(r=Mount_Height-Mount_Thickness, h=Mount_Separation+2*Mount_Hole_Diameter+2*Padding);
			translate([-Mount_Separation/2-Mount_Hole_Diameter-Padding,-Mount_Width/2+Nut_Support+Nut_Height+Mount_Height-Mount_Thickness+1,Mount_Height])
			rotate([0,90,0])
			cylinder(r=Mount_Height-Mount_Thickness, h=Mount_Separation+2*Mount_Hole_Diameter+2*Padding);
		}

if(Belt_Type=="GT2"){
		//channel for belt
		difference(){
			translate([0,-Mount_Width/2-Padding,-Belt1_Max_Thickness/4])
			rotate([-90,0,0])
			linear_extrude(height=Mount_Width+2*Padding)
		polygon(points=[[-Belt1_Height/2-Belt1_Max_Thickness,0],[-Belt1_Height/2,-Belt1_Max_Thickness],[Belt1_Height/2,-Belt1_Max_Thickness],[Belt1_Height/2+Belt1_Max_Thickness,0]]);
			translate([-Belt1_Height/2-Belt1_Max_Thickness,Mount_Width/2-Belt1_Teeth_Spacing+Belt1_Tooth_Width,3*Belt1_Min_Thickness/4])
			cube([Belt1_Height+2*Belt1_Max_Thickness,Belt1_Teeth_Spacing-Belt1_Tooth_Width,Belt1_Max_Thickness-Belt1_Min_Thickness+Padding]);
			translate([-Belt1_Height/2-Belt1_Max_Thickness,Mount_Width/2-2*Belt1_Teeth_Spacing+Belt1_Tooth_Width,3*Belt1_Min_Thickness/4])
			cube([Belt1_Height+2*Belt1_Max_Thickness,Belt1_Teeth_Spacing-Belt1_Tooth_Width,Belt1_Max_Thickness-Belt1_Min_Thickness+Padding]);
			translate([-Belt1_Height/2-Belt1_Max_Thickness,Mount_Width/2-3*Belt1_Teeth_Spacing+Belt1_Tooth_Width,3*Belt1_Min_Thickness/4])
			cube([Belt1_Height+2*Belt1_Max_Thickness,Belt1_Teeth_Spacing-Belt1_Tooth_Width,Belt1_Max_Thickness-Belt1_Min_Thickness+Padding]);
			translate([-Belt1_Height/2-Belt1_Max_Thickness,Mount_Width/2-4*Belt1_Teeth_Spacing+Belt1_Tooth_Width,3*Belt1_Min_Thickness/4])
			cube([Belt1_Height+2*Belt1_Max_Thickness,Belt1_Teeth_Spacing-Belt1_Tooth_Width,Belt1_Max_Thickness-Belt1_Min_Thickness+Padding]);
			translate([-Belt1_Height/2-Belt1_Max_Thickness,Mount_Width/2-5*Belt1_Teeth_Spacing+Belt1_Tooth_Width,3*Belt1_Min_Thickness/4])
			cube([Belt1_Height+2*Belt1_Max_Thickness,Belt1_Teeth_Spacing-Belt1_Tooth_Width,Belt1_Max_Thickness-Belt1_Min_Thickness+Padding]);
			translate([-Belt1_Height/2-Belt1_Max_Thickness,Mount_Width/2-6*Belt1_Teeth_Spacing+Belt1_Tooth_Width,3*Belt1_Min_Thickness/4])
			cube([Belt1_Height+2*Belt1_Max_Thickness,Belt1_Teeth_Spacing-Belt1_Tooth_Width,Belt1_Max_Thickness-Belt1_Min_Thickness+Padding]);
			translate([-Belt1_Height/2-Belt1_Max_Thickness,Mount_Width/2-7*Belt1_Teeth_Spacing+Belt1_Tooth_Width,3*Belt1_Min_Thickness/4])
			cube([Belt1_Height+2*Belt1_Max_Thickness,Belt1_Teeth_Spacing-Belt1_Tooth_Width,Belt1_Max_Thickness-Belt1_Min_Thickness+Padding]);
			translate([-Belt1_Height/2-Belt1_Max_Thickness,Mount_Width/2-8*Belt1_Teeth_Spacing+Belt1_Tooth_Width,3*Belt1_Min_Thickness/4])
			cube([Belt1_Height+2*Belt1_Max_Thickness,Belt1_Teeth_Spacing-Belt1_Tooth_Width,Belt1_Max_Thickness-Belt1_Min_Thickness+Padding]);
			translate([-Belt1_Height/2-Belt1_Max_Thickness,Mount_Width/2-9*Belt1_Teeth_Spacing+Belt1_Tooth_Width,3*Belt1_Min_Thickness/4])
			cube([Belt1_Height+2*Belt1_Max_Thickness,Belt1_Teeth_Spacing-Belt1_Tooth_Width,Belt1_Max_Thickness-Belt1_Min_Thickness+Padding]);

		}
}

if(Belt_Type=="Standard"){
		//channel for belt
		difference(){
			translate([0,-Mount_Width/2-Padding,-Belt0_Max_Thickness/4])
			rotate([-90,0,0])
			linear_extrude(height=Mount_Width+2*Padding)
		polygon(points=[[-Belt0_Height/2-Belt0_Max_Thickness,0],[-Belt0_Height/2,-Belt0_Max_Thickness],[Belt0_Height/2,-Belt0_Max_Thickness],[Belt0_Height/2+Belt0_Max_Thickness,0]]);
			translate([-Belt0_Height/2-Belt0_Max_Thickness,Mount_Width/2-Belt0_Teeth_Spacing+Belt0_Tooth_Width,3*Belt0_Min_Thickness/4])
			cube([Belt0_Height+2*Belt0_Max_Thickness,Belt0_Teeth_Spacing-Belt0_Tooth_Width,Belt0_Max_Thickness-Belt0_Min_Thickness+Padding]);
			translate([-Belt0_Height/2-Belt0_Max_Thickness,Mount_Width/2-2*Belt0_Teeth_Spacing+Belt0_Tooth_Width,3*Belt0_Min_Thickness/4])
			cube([Belt0_Height+2*Belt0_Max_Thickness,Belt0_Teeth_Spacing-Belt0_Tooth_Width,Belt0_Max_Thickness-Belt0_Min_Thickness+Padding]);
			translate([-Belt0_Height/2-Belt0_Max_Thickness,Mount_Width/2-3*Belt0_Teeth_Spacing+Belt0_Tooth_Width,3*Belt0_Min_Thickness/4])
			cube([Belt0_Height+2*Belt0_Max_Thickness,Belt0_Teeth_Spacing-Belt0_Tooth_Width,Belt0_Max_Thickness-Belt0_Min_Thickness+Padding]);
			translate([-Belt0_Height/2-Belt0_Max_Thickness,Mount_Width/2-4*Belt0_Teeth_Spacing+Belt0_Tooth_Width,3*Belt0_Min_Thickness/4])
			cube([Belt0_Height+2*Belt0_Max_Thickness,Belt0_Teeth_Spacing-Belt0_Tooth_Width,Belt0_Max_Thickness-Belt0_Min_Thickness+Padding]);
		}
}
	}
}
/****************/

module nut(){
	cylinder(r=(Nut_Width/2+Clearance)/cos(30),h=Nut_Height,$fn=6);
}

module polyhole(d,h) {
    n = max(round(2 * d),3);
    rotate([0,0,180])
        cylinder(h = h, r = (d / 2) / cos (180 / n), $fn = n);
}

```


[User]
Okay, I'm looking to design a clip that can attach a small flashlight to a hard hat brim using screws. I have some specific parameters I need to be able to adjust, and I have an existing OpenSCAD file that does some of what I need. Let's see if we can take this to the next level and make it super customizable.

Here are the design requirements:

1.  **Overall Clip Width:** This needs to be adjustable to accommodate different hard hat brim thicknesses. I need a `clip_width` variable, with a minimum value of 25mm, defaulting to around 30mm. This corresponds to the length of the clip in the z direction.

2.  **Flashlight Diameter:** The clip should securely hold a flashlight. I need a `diam` variable for the flashlight's diameter, it should default to 21.2mm (which is the size of my Sipik SK-68 clone).

3.  **Clip Thickness:** The material thickness of the clip itself. I need a `thickness` variable, defaulting to 2mm.

4.  **Release Tab Length:**  There's a short "release tab" that helps with insertion.  I need a `release_tab_length` variable for this, defaulting to 5mm.

5. **Nut Trap Size**: This should be adjustable.  I need a `nut_trap_size` variable, with a maximum size of 6mm, defaulting to 5.3mm. This corresponds to the radius of the nut trap circles.

6. **Screw Hole Size**:  I need a `screw_hole_size` variable for the diameter of the screw holes, defaulting to 4.6mm.

7.  **Attachment Mechanism:** The clip attaches to the brim with two screws and nuts. The design should include nut traps and screw holes, arranged at either end of the main body along the z-axis. I want these to be incorporated into the main body via a difference operation so they are properly subtracted out.

8.  **Snap-In Feature:** The clip should have angled tabs at the opening to help snap the flashlight in. These need to be created using a polygon operation, and they must be trimmed off to create the tabs. The overall shape should look like a flattened-out cylinder with the snap-in tabs on either end. I will be using `insertion_tabs` and `insertion_tabs_trim` modules to make this shape.

9.  **Clamp Section:** The main body of the clip includes a clamp section that should hold the flashlight firmly. This section should have a square shape with a cut out on one side, created using a `clamp` module.

10. **Modular Design**: I want a modular design using modules for all of the primary components like the main body, nut traps, and screw holes. This will make it easier to debug and modify in the future.

Here is a list of the modules I am using in the provided code:
`insertion_tabs()`, `insertion_tabs_trim()`, `clamp()`, `nut_trap()`, and `clamp_holes()`

Essentially, I need an OpenSCAD file that generates a solid model with all of these adjustable parameters. I would prefer to not rely on any external libraries, but if you believe using a library makes the code cleaner or easier to generate, please feel free to use it.

Can you help me generate this code? I have attached my existing OpenSCAD code that I have been using as a reference.

[Assistant]
flashlight_clamp_clip.scad:
```
//overall width of clip, in mm, measure hardhat slot, 25mm minimum
clip_width=30;

//Diameter of flashlight, in mm, 21.2 for Sipik SK-68 cloen
diam=21.2;

//Thickness of clip, in mm
thickness=2;

//length of release tab, in mm
release_tab_length=5;

//size of nut trap, 6mm max
nut_trap_size=5.3;

//size of screw holes
screw_hole_size=4.6;

module insertion_tabs() //tabs at mouth of clip (draws a big wide triangle
{
polygon([[0,0],[50,50*sqrt(3)],[50,-50*sqrt(3)]],[[0,1,2]]);
}

module insertion_tabs_trim() //trims off big triangle leaving the two tabs
{
translate([(thickness/2)*sqrt(3),0])
{
polygon([[0,0],[50,50*sqrt(3)],[50,-50*sqrt(3)]],[[0,1,2]]);
}
difference()
{
circle(r=100);
circle(r=(diam/2)+thickness+release_tab_length);
}
}

module clamp() //draws clamp section
translate([-(diam/2)-thickness,-2.5,0])
{
difference()
{
square([22,17],center=true);
translate([-3,2.5,0])
{
square([6,12],center=true);
}
}
}

module nut_trap()
{
union()
{
translate([-(diam/2)-thickness-6-3.3,0,7])
{
rotate(90,[0,1,0])
{
linear_extrude(height=3.4)
{
circle(r=nut_trap_size,$fn=6);
}
}
}

translate([-(diam/2)-thickness-6-3.3,0,clip_width-7])
{
rotate(90,[0,1,0])
{
linear_extrude(height=3.4)
{
circle(r=nut_trap_size,$fn=6);
}
}
}
}
}

module clamp_holes()
{
union()
{
translate([-(diam/2)-thickness-6-6,0,7])
{
rotate(90,[0,1,0])
{
linear_extrude(height=6)
{
#circle(r=screw_hole_size/2);
}
}
}

translate([-(diam/2)-thickness-6-6,0,clip_width-7])
{
rotate(90,[0,1,0])
{
linear_extrude(height=6)
{
#circle(r=screw_hole_size/2);
}
}
}
}
}

//main body
difference()
{
linear_extrude(height=clip_width)
{
union()
{
difference()
	{
		union()
		{
			circle(r=(diam/2)+thickness);
			insertion_tabs();

		}
		insertion_tabs_trim();
		circle(r=(diam/2));
	}
difference()
{
clamp();
circle(r=(diam/2));
}
}
}
nut_trap();
clamp_holes();
}

```


[User]
Okay, I'd like to design a folding cube toy, similar to those paper marketing cubes, but one that snaps together with hinges and pins. I want to be able to animate the folding, and control various parameters.

Here's a breakdown of what I'm envisioning and need in the OpenSCAD design:

**Core Design:**

*   **Folding Mechanism:** The cube will be made of 4 pieces that are connected in a way that allows for folding into a cube and then folding out again. The connected pieces should form something that looks a little like a chain of cubes with specific orientations.
*   **Hinges and Pins:** The pieces will be connected by cylindrical hinges and pins. I want to specify the radius of the pins and the tolerance between pins and the receiving holes.
*  **Snap-Together:** The pins will fit into receiving holes, but I'd like a small amount of support structure or overlap in those holes so that when the cube is formed it holds together and doesn't just fold open again.
*   **Cube Size:** The basic unit cube size needs to be parametric. I'll call this parameter 'L'.
*   **Animation:** I want to be able to animate the folding process using the `$t` variable in OpenSCAD. Each folding motion should happen sequentially and be defined by a parameter 'n', which specifies how many segments the animation has.

**Parametric Controls:**

*   `object`: An integer to select which piece I'm viewing: `0` for a flat layout of all four pieces, `1` for two sets of flat layouts, `2`-`5` for individual pieces, and `6` for the assembled animation.
*   `L`: The size of a sub-cube.
*   `R`: The radius of the pins.
*   `tol`: The tolerance between pins and holes.
*   `phi`: The angle of the pin supports.
*   `n`: The number of animation steps or motions.

**Specific Module Requirements:**

*   **`plate()`:**  Creates the four pieces arranged flat on a single plane.
*  **`dittoplate()`:** Creates two sets of the four pieces arranged flat on a single plane, with an offset.
*   **`bit1()` - `bit4()`:**  Create the individual folding cube pieces, and oriented to create a chain, with `bit1()` as the base part, `bit2()` to its right, etc... `bit2()` and `bit4()` should be mirrored versions of `bit1()` and `bit3()` respectively. `bit3()` and `bit4()` should have a different pin configuration than `bit1()` and `bit2()`.
*  **`orient()`:** This should rotate and translate the pieces for proper assembly with the hinge structure.
*   **`animation()`:**  The module that sets up the animation of the folding cube, where time `$t` advances from 0 to 1.
*   **`M1()` - `M6()`:** Transform the individual pieces as part of the animation, each using a T() function to split the time into chunks.

**Specific Details:**

*   The hinges will be cylinders, and I want to make sure they have a bit of a chamfer at the end for easy assembly.
*   The pins should have support structures that slightly extend beyond the pin itself, and have an angle parameter `phi`. This will snap the piece together, but can still be opened.
*   I will need some additional pieces to be cut out of the cube structure, that are derived from a spherical intersection so the four pieces can form a cube.

**Other Notes:**

*   I will need to render the assembled version in the correct orientation. The `orient()` module seems to handle this, but make sure that it's all working correctly.
*   I'd like the colors to be consistent with what is used in the example file (red, green, blue).
*   I don't need any special libraries.

Can you create the OpenSCAD code for this, based on my requirements?

[Assistant]
foldingCube.scad:
```
// folding cube

// object
object=0;// [0:Plate,1:Ditto Plate,2:Part 1,3:Part 2,4:Part 3,5:Part 4,6:Assembly]
// sub-cube size
L=20;
// radius of pins
R=2;
// tolerance for movement
tol=0.3;

phi=30*1;// angle of supports
$fn=12*1;

l=L-4*R;// length of hinge
n=6*1;// number of motions

if(object==0)plate();
if(object==1){dittoplate();%translate([-33,0,0])dittoplate();}
if(object==2)bit1();
if(object==3)bit2();
if(object==4)bit3();
if(object==5)bit4();
if(object==6)animation();

module animation()
translate([0,L*(T(1)+T(2)+T(3)+T(4)+T(5)+T(6)),0]){
	half();
	rotate([0,180,0])half();
}

module half(){
M6()M5()M3()M2()M1()translate(L/2*[1,1,-1])orient()render()bit1();
color("red")M6()M5()M4()M3()M2()translate(L/2*[1,-1,-1])rotate([-90,0,0])orient()render()bit2();
color("green")M6(-1)M5()M4(-1)M3()M2(-1)translate(L/2*[1,-1,1])rotate([180,0,0])orient()render()bit3();
color("blue")M6(-1)M5()M3()M2(-1)M1()translate(L/2*[1,1,1])rotate([0,-90,0])orient()render()bit4();
}

module M1()
translate([L,0,0])rotate([0,0,-180*T(1)])translate([-L,0,0])child(0);

module M2(neg=1)
translate([0,-L,0])rotate([-neg*90*T(2),0,0])translate([0,L,0])child(0);

module M3()
translate([0,-2*L,0])rotate([0,0,-90*T(3)])translate([0,2*L,0])child(0);

module M4(neg=1)
translate([0,-3*L,-neg*L])rotate([-neg*180*T(4),0,0])translate([0,3*L,neg*L])child(0);

module M5()
translate([0,-4*L,0])rotate([0,0,-90*T(5)])translate([0,4*L,0])child(0);

module M6(neg=1)
translate([0,-5*L,0])rotate([-neg*90*T(6),0,0])translate([0,5*L,0])child(0);

function T(i)=min(max($t,(i-1)/n),i/n)*n-i+1;// split time into n sequential chunks

module dittoplate(){
translate([33,-L,0])bit1();
translate([33,L,0])bit2();
translate([-33,-L,0])bit3();
translate([-33,L,0])bit4();
}

module plate(){
translate([L,-L,0])bit1();
translate([L,L,0])bit2();
translate([-L,-L,0])bit3();
translate([-L,L,0])bit4();
}

module bit1()
bit();

module bit2()
mirror([0,1,0])bit();

module bit3()
bit(R1=[90,90,0]);

module bit4()
mirror([0,1,0])bit(R1=[90,90,0]);

module orient()
rotate([0,-atan(sqrt(2)),45])translate([0,0,-(L-tol)*sqrt(3)/4])child(0);

module bit(R1=[-90,0,90])
difference(){
	translate([0,0,(L-tol)*sqrt(3)/4])rotate([0,atan(sqrt(2)),0])rotate([0,0,-45])union(){
		difference(){
			union(){
				intersection(){
					cube(L-tol,center=true);
					translate(L/2*[1,1,-1])sphere(r=1.42*L,$fn=100);
				}
				translate([L/2,-L/2,0]){
					cylinder(r=R,h=L-tol,center=true);
					scale([.99,.99,(L-tol)/l])support();
					mirror([1,1,0])scale([.99,.99,(L-tol)/l])support();
				}
			}
			hinge(t=tol);
			rotate(R1)translate([L/2,-L/2,0])difference(){
				union(){
					cylinder(r=R+tol,h=L,center=true);
					scale([.99,.99,3])support(t=tol);
					scale([.99,.99,3])mirror([1,1,0])support(t=tol);
				}
				cylinder(r=3*R,h=l,center=true);
			}
			rotate(R1)translate(-[-L/2,L/2,l/2+.01])cylinder(r1=R,r2=0,h=R);
		}
		rotate(R1)hinge(t=0);
	}
translate([0,0,-L])cube(2*L,center=true);
}

module hinge(t=0)
translate([L/2,-L/2,0])
difference(){
	union(){
		cylinder(r=R+t,h=l+2*t,center=true);
		translate([0,0,l/2-.01])cylinder(r1=R+t,r2=0,h=R+t);
		support(t);
		mirror([1,1,0])support(t);
	}
	translate(-[0,0,l/2+2*t+.01])cylinder(r1=R+t,r2=0,h=R+t);
}

module support(t=0)
difference(){
	rotate([0,0,phi])translate([-.5*R,0,-l/2-t])cube([1.5*R+t,2*R,l+2*t]);
	rotate([0,0,-phi])translate([-2*(R+tol),0,-l])cube([R+tol,4*R,2*l]);
}

```


[User]
Okay, I need a design for a sign holder that will attach to a standard clothing rack. I've got a portable clothing rack that I use for craft fairs, and I want to be able to put a sign on top of it to advertise my booth.

The clothing rack has a circular bar that's 1 inch (25.4mm) in diameter. I'd like the sign holder to clamp onto this bar. The sign itself will be a standard office supply sign, probably around 8.5 inches tall and 11 inches wide, with a thickness of about 1.7mm. The sign holder I use is about 96mm in depth.

I'd like the sign holder to have a main body that clamps onto the rack's bar, plus a part that holds the sign. The sign-holding part should extend back from the front of the bar, and the whole thing should be reasonably sturdy. The clamp should hug the bar quite closely, but I need to make sure there’s some extra space for wiggle room in the design so it fits comfortably even if it's not perfectly precise. We can also add a bit of space between the holder and the rod, for a secure fit. I want to use a couple of "legs" or "arms" that go down the side and clamp the bar at two different locations.

I'd prefer to keep it simple and relatively quick to print, but it needs to be robust enough to stay in place. The whole setup needs to be roughly centered over the bar, and the sign needs to face outward. I would like to have parameters so I can adjust the bar diameter, the sign holder depth, the sign thickness, and the wiggle room. The current model I have is close to what I want, but I want a parametric design, I need the parametric parameters for all the main features. I also want to be able to adjust the height that the sign sits above the bar, currently it is at 15mm. The wall thickness of the clamp also needs to be adjustable.

I am using OpenSCAD to create the design.

Here’s what I'm looking for in terms of parameters:

*   `sign_holder_depth`: The depth of the sign holder that slots into the printed design, should default to 96mm
*   `sign_holder_thickness`:  The thickness of the sign holder, should default to 1.7mm
*   `bar_dia`: The diameter of the clothing rack bar (default 25.4mm)
*   `wall`: The wall thickness of the clamp (default 12mm)
*   `hanger_space`: The space between the bar and the bottom of the sign holder (default 15mm)
*   `wiggle`: A small amount of extra space for tolerances (default 0.8mm)
*   `holder_height`: The total height of the "clamping" area around the rod of the rack, default 90mm
*   `out_offset`: The x-axis offset of the support arm end relative to the rack bar, default 15mm.
*  `down_offset`: The z-axis offset of the support arm end relative to the top of the rack clamp, default 20mm

I need it to be robust and easy to print, the current scad has these hull calls, but is lacking the parameters and has hard coded numbers that i want to change.

Also I want to see the clothing rack in my model, just as a translucent preview, so I can see how it fits. I need both parts of the rack visible (the bar on top, and the supporting base. I don't need a fully detailed rack, but just the key parts, so I can visualize the fit.

I'm not using any external libraries, so please write all of the code for the design.

[Assistant]
signholderholder.scad:
```
// Sign holder base depth.
sign_holder_depth=96;

// Sign holder thickness.
sign_holder_thickness=1.7;

// Bar diameter.
bar_dia=25.4;

// Wall thickness
wall=12;

// Space for hangers
hanger_space=15;

// Wiggle room.
wiggle=0.8;

/* [Hidden] */

inch=25.4;
holder_width = bar_dia+(wiggle+wall)*2;
holder_height = 90 +(wiggle+wall)*2;

module rack_top(w=0.0) {
  rotate([0,90,0])
    cylinder(r=bar_dia/2+w, h=150, center=true, $fn=22);
}
module rack_bottom(w=0.0) {
  translate([0,0,-100]) cylinder(r=bar_dia/2+w, h=100, $fn=22);
}

module rack(w=0.0) {
  rack_top(w);
  rack_bottom(w);
}

module sign(w = 0.0) {
  translate([0,-4.25*inch,0]) cube([3+w, 8.5*inch, 11*inch]);
  translate([-(sign_holder_depth/2)-wiggle,-4.25*inch,0])
   cube([sign_holder_depth+wiggle*2, 8.5*inch, sign_holder_thickness + w]);
}
% rack();
% translate([0,0,bar_dia/2 + wall + wiggle + hanger_space]) sign();

down_offset=20;
out_offset=15;

union() {

  translate([0,0,-50]) {
    translate([holder_width/2-wall/2,holder_width/2-wall/2,0])
    # cube([0.4,wall, bar_dia + wall], center=true);
    translate([0,0,-holder_width/2+wall/2])
    # cube([bar_dia + wall, holder_width, 0.4], center=true);
  }

  difference() {
    union() {
      translate([0,0,bar_dia/2 + wiggle + wall + hanger_space])
	cube([130, holder_width, 25], center=true);
      translate([0,0,bar_dia/2 + wiggle + wall -holder_height/2 + hanger_space])
	cube([holder_width, holder_width, holder_height], center=true);
    }

    translate([0,0,bar_dia/2 + wall + wiggle + hanger_space]) {
      sign(wiggle);
      translate([-38,-4.25*inch,0]) cube([96-20, 8.5*inch, 50]);
    }

    hull() {
      rack_top(wiggle);
      translate([0,-out_offset,-down_offset]) rack_top(wiggle);
    }
    hull() {
      translate([0,-out_offset,-down_offset]) rack_top(wiggle);
      translate([0,-30,-down_offset]) rack_top(wiggle);
    }

    rack(wiggle);

    // for (x=[0 : 10])
    translate([0,0,-49]) rotate([90,0,0]) translate([0,0,50]) rack_bottom();

    translate([0,-holder_width,-49-bar_dia/2-wiggle]) {
      cube([holder_width, holder_width*2, bar_dia+wiggle*3]);
    }
    translate([-bar_dia/2-wiggle/2,-holder_width+bar_dia/2,-bar_dia*2-wiggle]) {
      cube([holder_width, holder_width, bar_dia+wiggle*3]);
    }

    translate([-bar_dia/2+0.05,0,-holder_height+bar_dia]) {
      cube([bar_dia - 0.1, holder_width, holder_width-10]);
    }
  }
}

```


[User]
Okay, I'm looking to design a replacement joystick for an Xbox 360 controller, and I want it to be highly customizable. I've got some measurements, and I'm hoping to use OpenSCAD to make a parametric design that I can tweak and print easily.

Here's what I have in mind:

**General Shape:** The stick needs to have a rounded bottom that interfaces with the controller, transitioning into a cylindrical shaft, and then potentially a wider top for better grip. The bottom part is a bit complex, it's essentially a section of a sphere that's been cut off.

**Specific Dimensions and Parameters:**

*   **Stick Height:** I need to be able to set the height of the cylindrical part of the stick (the shaft). Let's call this `stickHeight`. The default value should be 25 mm.
*   **Stick Diameter (Bottom):** I need a parameter for the diameter at the base of the stick shaft (where it meets the rounded part). Let's call this `stickDiameterBottom` with a default of 8 mm.
*   **Stick Diameter (Top):** I need another parameter for the diameter at the top of the stick, where the user will be touching it. Let's call this `stickDiameterTop` with a default of 10 mm.
*   **Cap Crossection Radius:** When the original joystick is removed from the controller, there's a sort of hemisphere there. If you were to set it flat on a piece of paper, the radius of the circle that touches the paper would be the radius of the crossection, lets call that `radiusOfCapCrossection` and have a default of 10mm.
*   **Cap Height:**  The height of the hemisphere measured from the paper is what we should call `heightOfCap` with a default of 8.5 mm.
*   **Wall Thickness:**  The thickness of the walls should be customizable with `wallThickness`, a default of 1mm would be appropriate.
*   **Peg Axis Dimensions:** The part of the joystick that goes _into_ the controller is shaped like an oval peg. It needs two axis parameters, `pegMinorAxis` for the small diameter (default 3mm) and `pegMajorAxis` for the large diameter (default 4mm).
*   **Peg Depth:**  The depth of the peg part is controlled by `pegDepth` (default 4.75mm).
* **Sphere Calculation:** I've got a small calculation I'd like you to do for convenience that will calculate `radiusOfSphereForStick`. It should calculate based on `radiusOfCapCrossection` and `heightOfCap`. The formula is `(radiusOfCapCrossection*radiusOfCapCrossection+heightOfCap*heightOfCap)/heightOfCap`.

**Functional Details:**

*   The bottom rounded part of the stick should be a cut-off section of a sphere with the radius calculated with the formula above.
*   The peg part needs to be an oval cylinder that fits into the controller.
*   The stick itself needs to transition smoothly from the rounded base, have a cylindrical shaft, and then have a cylindrical head.
*   There should be no parts that will result in an object that cannot be printed as-is without supports.

**Specific OpenSCAD Techniques:**
*  I'm looking for this to be a single solid object, so I think using `hull` to smooth transitions will be necessary
*  I think using difference, translate, and rotate are necessary, but otherwise, I don't know all the commands I need.

**Output:** I would like a single .scad file, and I am not using any libraries. Can you provide me with the code?

[Assistant]
ReplacementStick.scad:
```
customStick();
/*[Top of Stick]*/
stickHeight=25;
stickDiameterBottom=8;
stickDiameterTop=10;
/*[Measurement from Controller]*/
//If remove the stick from the controller, there is a hemisphere, if you set this hemisphere flat on a piece of paper this is the radius of the circle touching the paper
radiusOfCapCrossection=10;
//This is the height of the hemisphere above the paper
heightOfCap=8.5;
wallThickness=1;
pegMinorAxis=3;
pegMajorAxis=4;
pegDepth=4.75;

/*[calculation Block]*/
radiusOfSphereForStick=(radiusOfCapCrossection*radiusOfCapCrossection+heightOfCap*heightOfCap)/heightOfCap;

module customStick(){
	union(){
		difference(){
			translate([0,0,heightOfCap-radiusOfSphereForStick])sphere(radiusOfSphereForStick);
			translate([-2*radiusOfSphereForStick,-2*radiusOfSphereForStick,-2*radiusOfSphereForStick])cube([4*radiusOfSphereForStick,4*radiusOfSphereForStick,2*radiusOfSphereForStick]);
			translate([0,0,heightOfCap-wallThickness-radiusOfSphereForStick])sphere(radiusOfSphereForStick-wallThickness);
		}
		difference(){
			translate([0,0,heightOfCap-2*wallThickness-pegDepth])cylinder(r=pegMajorAxis/2+wallThickness,h=pegDepth);
			difference(){

				cylinder(r=pegMajorAxis/2,h=heightOfCap-wallThickness);
				translate([pegMinorAxis/2,-pegMajorAxis/2,0])cube([pegMinorAxis,pegMajorAxis,heightOfCap]);
				rotate([0,0,180])translate([pegMinorAxis/2,-pegMajorAxis/2,0])cube([pegMinorAxis,pegMajorAxis,heightOfCap]);

			}
		}
		hull(){
			translate([0,0,stickHeight+heightOfCap-wallThickness])cylinder(r=stickDiameterTop/2,h=wallThickness);
			difference(){
				cylinder(r=stickDiameterBottom/2,h=stickHeight+heightOfCap);
				translate([0,0,heightOfCap-wallThickness-radiusOfSphereForStick])sphere(radiusOfSphereForStick-.5*wallThickness);
			}
		}
		difference(){
			intersection(){
				translate([0,0,heightOfCap-wallThickness-radiusOfSphereForStick])sphere(radiusOfSphereForStick-.5*wallThickness);
translate([0,0,heightOfCap-2*wallThickness-pegDepth+radiusOfSphereForStick])sphere(radiusOfSphereForStick-.5*wallThickness);
			}
			cylinder(r=pegMajorAxis/2,h=heightOfCap-wallThickness);
			translate([wallThickness,wallThickness,0])cube(radiusOfSphereForStick);
			rotate([0,0,90])translate([wallThickness,wallThickness,0])cube(radiusOfSphereForStick);
			rotate([0,0,180])translate([wallThickness,wallThickness,0])cube(radiusOfSphereForStick);
			rotate([0,0,270])translate([wallThickness,wallThickness,0])cube(radiusOfSphereForStick);
		}
	}
}

```


[User]
Okay, I need an OpenSCAD file for a tapered bottle stopper, like a cork, but with an added air vent hole. I'm basing it off of this existing Thingiverse design: http://www.thingiverse.com/thing:136302, and I've even got an initial attempt at the code I'm trying to modify here:

```
$fn=100*1;

//larger width radius (half the diameter)
radius1=14.5;

//shorter width radius (half the diameter)
radius2=12.25;

// height
height=21.4;

//angle for the air hole
angle=atan((radius1-radius2)/height);

difference(){
	cylinder(h=height,r1=radius1, r2=radius2, center=true);
		translate([0,(radius1+radius2)/2-3,0])rotate([angle,0,0])cylinder(h=height+10,r=1, center=true);

}
```

Here’s what I'd like:

*   **Tapered Cylinder Base:** The main body should be a frustum (tapered cylinder) shape, defined by two radii (radius1 and radius2) at the top and bottom, and a height (height). The current code seems mostly correct for this, though I'd like it to be parametric.
*   **Air Vent Hole:** I need a small air vent hole that goes through the side of the stopper. The current code attempts this, but it's just a simple cylinder and I don't like how it's just using a long cylinder.
*   **Parametric Design:** I would like all of these values to be easily adjustable as variables (radius1, radius2, height, air_vent_radius, air_vent_offset_from_center, etc.). Also, I’d really like an option to set a $fn value, ideally using a variable called 'sides'.
*   **Rounded Edges:** I would like the top and bottom edges to be rounded for a smoother, more finished look. It would be best if the rounding radius is also a parameter.
*   **Air Vent Hole Improvements:** Instead of a straight cylinder, can the air vent hole be a slightly tapered hole, maybe a cone shape? I'm not sure what values would make sense, but maybe a second radius parameter, air_vent_radius2, would work? Can we also adjust it along the height with an parameter that changes its center of the hole, air_vent_height_offset?

I also want to add the ability to have multiple air vent holes, equally spaced around the circumference of the stopper, and controlled by the number of air vent holes parameter, air_vent_count.

It would be amazing if you could make sure the air vent holes are actually subtracted from the frustum, I'm noticing in my code that the calculation of the rotation angle isn't always consistent for certain values of radii and height and sometimes it's not fully subtracted. Also, I need it to correctly update the vent offset from the center.

I'd prefer the code to use the built in OpenSCAD functions as much as possible, so please don't use any external libraries if you can avoid it.

Can you generate the OpenSCAD code for this?

[Assistant]
Tapon_aceitera_customizer.scad:
```
$fn=100*1;

//larger width radius (half the diameter)
radius1=14.5;

//shorter width radius (half the diameter)
radius2=12.25;

// height
height=21.4;

//angle for the air hole
angle=atan((radius1-radius2)/height);

difference(){
	cylinder(h=height,r1=radius1, r2=radius2, center=true);
		translate([0,(radius1+radius2)/2-3,0])rotate([angle,0,0])cylinder(h=height+10,r=1, center=true);

}
```


[User]
Okay, I'm looking to design a parametric reel holder for 3D printer spools, specifically one that uses a threaded rod as its core. I like the basic design of the `reel_holder_axis.scad` file I have (it creates a mounting plate with a rod holder that also has a nut trap), but I want something more flexible and easier to customize.

Here's what I need:

1.  **Rod Diameter:** This should be the primary parameter. The design needs to accommodate different threaded rod diameters (e.g., 6mm, 8mm, 10mm, 12mm). The rod holder should have a tight fit, but also be customizable to add tolerances.
2.  **Rod Holder Wall Thickness:** The thickness of the material surrounding the threaded rod should be configurable. This needs to be separate from the main plate thickness and any supporting structure.
3.  **Rod Holder Length:** The length of the cylindrical section that grips the threaded rod should be adjustable.
4.  **Nut Trap:** The design should include an integrated nut trap behind the rod holder, sized to fit standard hex nuts for the specified rod diameter. It should have some tolerance for easy assembly. The nut trap depth and diameter should be parametric as well.
5.  **Mounting Plate:**  The mounting plate is currently rectangular with rounded corners, and has multiple mounting points. It should be configurable. Specifically, the shape (e.g., rectangle, circle), size, and mounting holes should be customizable, including the number, positions, and diameter of the mounting holes. I'd like to define a bounding box, and set a radius (or optionally a fillet amount if I make it a rectangular shape), and have the mounting points evenly distributed inside that area.
6.  **Hook arms:** The design should have arms to catch the spools, as I currently have in my SCAD. Their size should be parametric, as well as their vertical and horizontal position relative to the mounting plate. These arms should also have notches at the end to better secure a spool.
7.  **Support Structures:** I would like the option to add support structures to the hook arms, and the support amount should be configurable. The support structure should be a simple angled beam under each hook arm.
8.  **Tolerances:**  I'd like to have a single global tolerance parameter that can be used to add small gaps for easier fitting of parts like the threaded rod and nuts.

Essentially, I want a modular system where I can easily adjust the dimensions for different rod sizes, mounting preferences, and spool sizes. The design should be robust and easy to print.

I prefer a clean, readable, and well-organized code with comments. Please don't assume any specific libraries for this, but if it simplifies the design I'm fine with using them. If you do, please tell me what library you've used so I can make sure I have it installed. I think that's all I need, thank you.

[Assistant]
reel_holder_axis.scad:
```

// internal diameter (make it tight)
tube_d=7.8;
// wall thickness around the rod
tube_wall_th=4;
// length of the wall around the rod
base_rod_len=12;
// nut diameter with enough freeplay
tube_nut_d=15;
// nut heigth with enough freeplay
tube_nut_h=6.7;

// optional support (zero to disable)
support_th=0.4;

/* [Hidden] */

tol=0.1+0;

hook_wall_th= 6+0;
hook_sx=12+0;
hook_dist_z=27+0;
hook_dist_y=26+0;
hook_tab_sz=14+0;
hook_notch_sx=6+0;
hook_notch_sz=5+2+0;
hook_notch_skew=0.5+0;

plate_additional_z= 8+0;

hook_plate_sy= hook_dist_y+hook_wall_th+2;
hook_plate_sz= hook_dist_z + hook_tab_sz + plate_additional_z;

module um_reel_hook_plate()
{
	module one_arm()
	{
		hull()
		{
			translate([-(hook_wall_th-1)/2,hook_wall_th/2,0])
				cylinder(r=(hook_wall_th-1)/2, h=tol, $fs=1);
			translate([0,0,hook_sx])
				cube([hook_sx, hook_wall_th, hook_tab_sz-hook_sx]);
		}

		// The notch
		translate([hook_sx-hook_notch_sx,0,hook_tab_sz])
		{
			hull()
			{
				cube([hook_notch_sx, hook_wall_th, tol]);
				translate([hook_notch_skew,hook_notch_skew,hook_notch_sz-tol])
					cube([hook_notch_sx-hook_notch_skew, hook_wall_th-hook_notch_skew*2, tol]);
			}
		}
	}

	// Hook body
	difference()
	{
		union()
		{
			// 4 hooks
			translate([hook_wall_th-tol,-hook_wall_th/2, plate_additional_z/2])
				for(z=[0,1])
					translate([0,0,z*hook_dist_z])
						for(y=[-1,+1])
							translate([0,y*hook_dist_y/2,0])
								one_arm();

			// Plate
			difference()
			{
				// Rounded main plate
				hull()
				{
					for(y=[-1,+1]) hull()
					{
						for(z=[0,+1])
						translate([0,y*(hook_plate_sy-hook_wall_th)/2, hook_wall_th/2+z*(hook_plate_sz-hook_wall_th)])
							rotate([0,90,0])
							{
								translate([0,0,hook_wall_th/2])
									sphere(r=hook_wall_th/2, $fs=1);
								translate([0,0,hook_wall_th/2])
									cylinder(r=hook_wall_th/2, h=hook_wall_th/2);
							}
					}
				}

				// Leave room for the nylock nuts (make it mountable!)
				translate([-tol,0,hook_plate_sz/2])
				for(z=[-1,+1]) scale([1,1,z])
					translate([0,0,hook_plate_sz/2])
				{
					rotate([0,90,0])
						hull()
					{
						cylinder(r=8/2, h=hook_wall_th+2*tol);
						translate([plate_additional_z,0,0])
							cylinder(r=8/2, h=hook_wall_th+2*tol);
					}
				}

			}

		}
	}

	// Rod mount
	translate([tol,0,hook_plate_sz/2]) rotate([0,-90,0])
	{
		cylinder(r1=min(tube_d/2,tube_nut_d/2)+tube_wall_th+2,r2=tube_d/2+tube_wall_th,h=base_rod_len);
		for(r=[30,-30,180-30,180+30]) rotate([0,0,r])
			hull()
			{
				translate([tube_d/2+tube_wall_th - tube_wall_th,0,0])
					cylinder(r=tube_wall_th,h=base_rod_len,$fs=1);

				translate([hook_plate_sz/2 - (tube_wall_th)*1.414,0,0])
					cylinder(r=tube_wall_th/2, h=tol);
			}
	}
}

rotate([0,0,180]) // for a better cooling when printer on an UM!!

difference()
{
	difference()
	{
		um_reel_hook_plate();
		translate([hook_wall_th+tol,0,hook_plate_sz/2])
			rotate([0,-90,0])
				cylinder(r=tube_d/2,h=base_rod_len+tube_d+2*tol);
	}
	translate([hook_wall_th - tube_nut_h - tol,0,hook_plate_sz/2])
		rotate([0,90,0])
			cylinder(r=tube_nut_d/2, h= tube_nut_h+2*tol, $fn=6);

}

// Make it printer friendly
if(support_th>0)
	intersection()
	{
		translate([-50,-50,0]) cube([100,100,100]);

		for(y=[-1,1]) scale([1,y,1]) translate([0,hook_plate_sy*0.4+0.96,-1]) rotate([38.3,0,0])
			translate([-hook_wall_th+tol,-support_th/2,0])
				hull()
				{
					cube([20+hook_wall_th,support_th,tol]);
					translate([0,0,hook_plate_sz/2 - tube_d/2 - tube_wall_th + 6])
						cube([base_rod_len+hook_wall_th,support_th,tol]);
				}
	}

```


[User]
Okay, I'm looking to create a parametric OpenSCAD file for making NEMA motor mounts. I want to be able to easily customize the mount for different NEMA sizes, shaft diameters, pilot diameters, mounting plate thicknesses, and the size of nuts for the mounting bolts.

Here's what I need:

1.  **NEMA Size:** The mount needs to be configurable for different NEMA sizes (8, 11, 14, 17, 23, 34, 42).  The dimensions for the bolt hole locations, pilot hole, and motor shaft diameter should adjust automatically based on the selected NEMA size. I've got some standard sizes I can provide based on the NEMA sizes for these.

    *   NEMA 8: Mounting hole circle radius 15.4/2, bolt hole radius 2.0/2, shaft hole radius 4.00/2, pilot hole radius 15.00/2
    *   NEMA 11: Mounting hole circle radius 23.0/2, bolt hole radius 2.5/2, shaft hole radius 5.00/2, pilot hole radius 22.00/2
    *   NEMA 14: Mounting hole circle radius 26.0/2, bolt hole radius 3.0/2, shaft hole radius 5.00/2, pilot hole radius 22.00/2
    *   NEMA 17: Mounting hole circle radius 31.04/2, bolt hole radius 4.0/2, shaft hole radius 5.00/2, pilot hole radius 22.00/2
    *   NEMA 23: Mounting hole circle radius 47.14/2, bolt hole radius 4.75/2, shaft hole radius 6.35/2, pilot hole radius 38.10/2
    *   NEMA 34: Mounting hole circle radius 69.58/2, bolt hole radius 6.5/2, shaft hole radius 9.50/2, pilot hole radius 73.00/2
    *   NEMA 42: Mounting hole circle radius 88.90/2, bolt hole radius 7.15/2, shaft hole radius 16.0/2, pilot hole radius 73.0/2

2.  **Shaft Clearance Hole:** I need an option for a shaft clearance hole. This should be configurable to either be a fixed diameter or to add to the standard NEMA shaft diameter to make it slightly larger for clearance.
     * If the shaft size is a positive number it should be the diameter of the clearance hole.
     * If the shaft size is negative, the diameter should be the standard NEMA shaft diameter plus the absolute value of the negative input. For example, If the user selects NEMA 17 and enters "-1" for the shaft size, the hole should be 5 + 1 = 6mm. If they enter "-2" the hole will be 5 + 2 = 7mm.
    * If the shaft size is 0, there should be no hole.

3.  **Pilot Mounting Indentation:** I need an option for a pilot mounting indentation. This should be a circular indentation on the face of the mount to fit the raised pilot on the motor.  It should behave similar to the shaft hole:
    * If a positive number is provided the pilot indentation diameter is that.
    * If a negative number is provided it should take the standard NEMA pilot diameter and add the absolute value of the provided number.
    * If 0 is entered there should be no indentation.

4.  **Mounting Height:** The height of the mount should be adjustable, representing the thickness of the material I'm mounting the motor to.

5. **Bolt Nut Recesses:** The design should be able to add recesses for the nut heads.
    * There should be options to specify the size and height of the nut recess.
    * If the nut size or height is 0, no recesses should be present. If the size is set to an M size, the dimensions from a standard M size should be used.

6.  **Motor Adjustment:**  I'd like an option to make the mounting holes slotted, so the motor can slide for adjustment.  The user should be able to set the length of adjustment that is possible.

7. **Base Preview:** The code should have an option to show a base plate that the NEMA mount is subtracted from, so I can preview the result.

I'd like the code to use named variables to make it easy to modify, and be well-commented. I do not need any specific library other than built in OpenSCAD features.

Could you generate that OpenSCAD file for me?

[Assistant]
NEMAMount.scad:
```
/**
 * NEMAMount.scad
 *
 * Produces the shape to be subtracted from a base to make a NEMA motor mount.
 *
 * @copyright  James Newton, 2013
 * @license    http://creativecommons.org/licenses/LGPL/2.1/
 * @license    http://creativecommons.org/licenses/by-sa/3.0/
 *
 * @see        http://www.thingiverse.com/thing:137829
 *
 *
**/

/* ******************************************************************************
 * Customizer parameters and rendering
 * ****************************************************************************** */

/* [Global] */

//The NEMA size. See: massmind.org/techref/io/stepper/nemasizes.htm
NEMA_Size = 23; // [8,11,14,17,23,34,42]

//Drive Shaft clearance hole: 0=no shaft, positive # = that size, negative number = standard NEMA shaft + abs(shaft) e.g. NEMA_Mount(17,shaft=-1) gives a 5+1=6mm shaft hole.
shaft = -1; // [-50:50]

//Pilot mounting indentation diameter: 0=no indentation, positive # = that diameter, negative # = standard NEMA pilot + abs(pilot)
pilot = -1; // [-20:90]

//height of the mounting and shaft holes. e.g. the thickness of your mounting plate
height = 10; // [1:100]

//Size of nut head. 0 for no nuts or an M size.
nut_size = 4; // [0:20]

//height of the nut head. 0 for no nuts or an M height.
nut_height =3; // [0:20]

//Distance the motor can slide in the mount.
adjust = 5; // [0:10]

//Show sample base with NEMA mount subtracted.
Show_Base =  0; // [0,1]

/* [Hidden] */

difference() {
	if (Show_Base==1)
		translate([-NEMA_Size*2,-NEMA_Size*2,0]) cube([NEMA_Size*4,NEMA_Size*4,height-.01]);
	NEMA_Mount (NEMA_Size, shaft, pilot, height, nut_size, nut_height, adjust);
	}

module NEMA_Mount (NEMA_Size, shaft=-1, pilot=-1, height, nut_size, nut_height, adjust=0) {
	for (r = [-adjust: 2: adjust])
		translate([r,0,0])
		Simple_NEMA_Mount (NEMA_Size, shaft, pilot, height, nut_size, nut_height, $fs=adjust/2+0.01);
	//drop the resolution to keep from swamping the system with CSG Products.
	}

module Simple_NEMA_Mount (NEMA_Size, shaft=-1, pilot=-1, height, nut_size, nut_height) {

	NEMA_Mount = lookup(NEMA_Size,[
		[ 8,15.4/2],
		[11,23.0/2],
		[14,26.0/2],
		[17,31.04/2],
		[23,47.14/2],
		[34,69.58/2],
		[42,88.90/2]
		]);

	NEMA_Bolt = lookup(NEMA_Size,[
		[ 8,2.0/2],
		[11,2.5/2],
		[14,3.0/2],
		[17,4.0/2],
		[23,4.75/2],
		[34,6.5/2],
		[42,7.15/2]
		]);

//the -.1's here are to ensure the hole breaks through the mounting plate
	translate([-NEMA_Mount,-NEMA_Mount,-.1]) cylinder(h=height-nut_height+.2, r=NEMA_Bolt);
	if (nut_height > 0) translate([-NEMA_Mount,-NEMA_Mount,height-nut_height]) nut(nut_size, nut_height);
	translate([-NEMA_Mount,+NEMA_Mount,-.1]) cylinder(h=height-nut_height+.2, r=NEMA_Bolt);
	if (nut_height > 0) translate([-NEMA_Mount,+NEMA_Mount,height-nut_height]) nut(nut_size, nut_height);
	translate([+NEMA_Mount,-NEMA_Mount,-.1]) cylinder(h=height-nut_height+.2, r=NEMA_Bolt);
	if (nut_height > 0) translate([+NEMA_Mount,-NEMA_Mount,height-nut_height]) nut(nut_size, nut_height);
	translate([+NEMA_Mount,+NEMA_Mount,-.1]) cylinder(h=height-nut_height+.2, r=NEMA_Bolt);
	if (nut_height > 0) translate([+NEMA_Mount,+NEMA_Mount,height-nut_height]) nut(nut_size, nut_height);
	if (shaft > 0) translate([0,0,-.1]) cylinder(h=height+.1, r=shaft);
	if (shaft < 0) translate([0,0,-.1]) cylinder(h=height+.1, r=-shaft + lookup(NEMA_Size,[
		[ 8,4.00/2],
		[11,5.00/2],
		[14,5.00/2],
		[17,5.00/2],
		[23,6.35/2],
		[34,9.50/2],
		[42,16.0/2]
		])
		);
	if (pilot > 0) cylinder(h=2, r=pilot);
	if (pilot < 0) translate([0,0,-.1]) cylinder(h=2, r=-pilot + lookup(NEMA_Size,[
		[ 8,15.00/2],
		[11,22.00/2],
		[14,22.00/2],
		[17,22.00/2],
		[23,38.10/2],
		[34,73.00/2],
		[42,73.0/2]
		])
		);
	};

module nut(nutSize,nutHeight) {
	//I have no idea if this actually produces the correct size.
	// need to check against:
	//http://www.boltdepot.com/fastener-information/Nuts-Washers/Metric-Nut-Dimensions.aspx
	for (r = [-60, 0, 60])
		translate([0,0,nutHeight/2]) rotate([0,0,r]) cube([nutSize*1.75, nutSize, nutHeight], true);
	}

```


[User]
Okay, I'm looking to create a parametric card box with some specific features, and I'd like you to generate the OpenSCAD code for it. I've seen a design I like, but I'm hoping we can make it even more flexible. I'll describe it in detail.

Essentially, I need a rectangular box with a separate lid that slides on.  Here are the core dimensions and parameters:

*   **Card Size:** The box needs to fit standard playing cards, which I'll define as having a `CARD_SIZE_LONG_EDGE` and a `CARD_SIZE_SHORT_EDGE`. The code should allow these to be adjustable parameters. I'll also need to be able to set the `CARD_STACK_HEIGHT`, which defines how deep the box needs to be.

*   **Wall Thickness:**  The box will have a `WALL_THICKNESS`, and this needs to be consistent for all parts.

*   **Tab/Clip Mechanism:** I want a simple tab system for the lid to clip onto the box, using two tabs (one at each short end), and have that tab have a `TAB_THICKNESS`. There will need to be matching cutouts in the lid to accept these tabs.  I want these to include wedges so the tabs will press against the inside of the lid, requiring a small amount of force to get the lid on and off, providing a "snap fit" that does not use much material.

*   **Extra Space:** I need an `EXTRA_SPACE` parameter, to add a small amount of extra space around the cards to prevent friction, and also to ensure that my tabs will fit, etc.

*   **Rounded Cutouts:** I want three rounded cutouts to make handling the cards and the box easier.
    *   **End Cutouts:** There should be a semi-circular cut out on each of the short ends of the box’s base.  These cutouts should be able to be sized both in terms of a `END_CUTOUT_HEIGHT_PERCENTAGE` relative to the `CARD_STACK_HEIGHT` and a `END_CUTOUT_WIDTH_PERCENTAGE` relative to `CARD_SIZE_SHORT_EDGE`.
    *   **Bottom Cutout:** I want a circular cutout on the bottom of the box to allow you to easily push up cards from below. The size of this should be defined as a `BOTTOM_CUTOUT_WIDTH_PERCENTAGE` of `CARD_SIZE_SHORT_EDGE` and a `BOTTOM_CUTOUT_LENGTH_PERCENTAGE` of `CARD_SIZE_LONG_EDGE`.

*   **Lid:** The lid should fit snugly on the box, with a small clearance (defined by the `EXTRA_SPACE`). The lid needs to have matching cutouts that fit over the tabs on the box base. The lid should have its own `LID_OUTSIDE_LONG_THICKNESS` and `LID_OUTSIDE_SHORT_THICKNESS` which should be defined based on adding additional thickness for the lid walls using the `WALL_THICKNESS` parameter.

*  **Clearance Between Box and Lid:** The distance from the bottom of the box and the bottom of the lid is defined by the parameter `SPACE_BETWEEN_BOTTOM_AND_LID`, and that parameter should be used to translate the lid away from the base.

Here is a summary of the parameters I'd like to control:

*   `CARD_SIZE_LONG_EDGE` (Card length)
*   `CARD_SIZE_SHORT_EDGE` (Card width)
*   `CARD_STACK_HEIGHT` (Height of the card stack in the box)
*   `WALL_THICKNESS` (Thickness of the box walls)
*   `TAB_THICKNESS` (Thickness of the lid tabs/clips)
*   `EXTRA_SPACE` (Extra space around the cards and between parts)
*   `END_CUTOUT_HEIGHT_PERCENTAGE` (Percentage of card stack height for end cutouts)
*   `END_CUTOUT_WIDTH_PERCENTAGE`  (Percentage of box width for end cutouts)
*   `BOTTOM_CUTOUT_WIDTH_PERCENTAGE` (Percentage of box width for the bottom cutout)
*   `BOTTOM_CUTOUT_LENGTH_PERCENTAGE` (Percentage of box length for the bottom cutout)

I'd also like the following variables to be calculated internally:
*  `CARD_LONG_EDGE` calculated as `CARD_SIZE_LONG_EDGE + (WALL_THICKNESS*2)`
*  `CARD_SHORT_EDGE` calculated as `CARD_SIZE_SHORT_EDGE + (WALL_THICKNESS*2)`
*  `ALL_EXTRA_SPACE` calculated as `(EXTRA_SPACE *2)`
*  `LID_OUTSIDE_LONG_THICKNESS` calculated as `CARD_LONG_EDGE + (WALL_THICKNESS*2)`
*  `LID_OUTSIDE_SHORT_THICKNESS` calculated as `CARD_SHORT_EDGE + (WALL_THICKNESS*2)`
*  `SPACE_BETWEEN_BOTTOM_AND_LID` calculated as `LID_OUTSIDE_LONG_THICKNESS + (WALL_THICKNESS*2)+ 2`
*   `HEIGHT`  calculated as `CARD_STACK_HEIGHT + WALL_THICKNESS`
*   `END_CUTOUT_LENGTH` calculated as `CARD_LONG_EDGE + 2`
*   `END_CUTOUT_RADIUS` calculated as `CARD_STACK_HEIGHT * END_CUTOUT_HEIGHT_PERCENTAGE/100`
*   `END_CUTOUT_WIDTH` calculated as `CARD_SIZE_SHORT_EDGE * END_CUTOUT_WIDTH_PERCENTAGE/100`
*   `END_CUTOUT_WIDTH_RATIO` calculated as `END_CUTOUT_WIDTH / (END_CUTOUT_RADIUS*2)`
*  `BOTTOM_CUTOUT_LENGTH` calculated as `(WALL_THICKNESS * 2)+ 2`
*  `BOTTOM_CUTOUT_RADIUS` calculated as `CARD_SIZE_SHORT_EDGE * BOTTOM_CUTOUT_WIDTH_PERCENTAGE / 2 /100`
*  `BOTTOM_CUTOUT_HEIGHT` calculated as `CARD_SIZE_LONG_EDGE * BOTTOM_CUTOUT_LENGTH_PERCENTAGE/100`
*  `BOTTOM_CUTOUT_HEIGHT_RATIO` calculated as `BOTTOM_CUTOUT_HEIGHT / (BOTTOM_CUTOUT_RADIUS*2)`

The design should use the standard OpenSCAD primitives (cube, cylinder, translate, rotate, difference, scale, etc.) and should not require any additional libraries. Also, the model should generate both the base and the lid as separate, but correctly aligned, components.

Can you generate the OpenSCAD code for this?

[Assistant]
Card_Box_with_clips_and_cutouts.scad:
```
CARD_SIZE_LONG_EDGE =91;
CARD_SIZE_SHORT_EDGE = 66;
CARD_STACK_HEIGHT = 20;
WALL_THICKNESS = 2;
TAB_THICKNESS = 10;
EXTRA_SPACE = .25;
// rounded cutouts remove a "circle" from the bottom surface, and a 1/2 "circle" from each short end of the bottom piece
/* [Cutouts] */
// Percent of card deck height to cutout
END_CUTOUT_HEIGHT_PERCENTAGE = 80; // [0:100]
// Percent of box width to cutout
END_CUTOUT_WIDTH_PERCENTAGE  = 67; // [0:100]
// Percent of box width to cutout
BOTTOM_CUTOUT_WIDTH_PERCENTAGE = 67; // [0:100]
// percent of box length to cutout
BOTTOM_CUTOUT_LENGTH_PERCENTAGE = 67; // [0:100]
// preview[view:south west, tilt:top diagonal]

CARD_LONG_EDGE = CARD_SIZE_LONG_EDGE + (WALL_THICKNESS*2);
CARD_SHORT_EDGE = CARD_SIZE_SHORT_EDGE + (WALL_THICKNESS*2);
ALL_EXTRA_SPACE = (EXTRA_SPACE *2);

LID_OUTSIDE_LONG_THICKNESS = CARD_LONG_EDGE + (WALL_THICKNESS*2);
LID_OUTSIDE_SHORT_THICKNESS = CARD_SHORT_EDGE + (WALL_THICKNESS*2);

SPACE_BETWEEN_BOTTOM_AND_LID = LID_OUTSIDE_LONG_THICKNESS + (WALL_THICKNESS*2)+ 2;

HEIGHT = CARD_STACK_HEIGHT + WALL_THICKNESS;

// rounded cut-outs
// ends
END_CUTOUT_LENGTH = CARD_LONG_EDGE + 2;
END_CUTOUT_RADIUS = CARD_STACK_HEIGHT * END_CUTOUT_HEIGHT_PERCENTAGE/100;
END_CUTOUT_WIDTH  = CARD_SIZE_SHORT_EDGE * END_CUTOUT_WIDTH_PERCENTAGE/100;
// since we'll be scaling our cylinder, we really need the ratio to scale by for the longer dimension, not the direct dimension itself
END_CUTOUT_WIDTH_RATIO = END_CUTOUT_WIDTH / (END_CUTOUT_RADIUS*2);
// bottom
BOTTOM_CUTOUT_LENGTH = (WALL_THICKNESS * 2)+ 2;
BOTTOM_CUTOUT_RADIUS = CARD_SIZE_SHORT_EDGE * BOTTOM_CUTOUT_WIDTH_PERCENTAGE / 2 /100;
BOTTOM_CUTOUT_HEIGHT = CARD_SIZE_LONG_EDGE * BOTTOM_CUTOUT_LENGTH_PERCENTAGE/100;
// since we'll be scaling our cylinder, we really need the ratio to scale by for the longer dimension, not the direct dimension itself
BOTTOM_CUTOUT_HEIGHT_RATIO = BOTTOM_CUTOUT_HEIGHT / (BOTTOM_CUTOUT_RADIUS*2);

	//*Start Bottom of Box

					//*Start wedge 1
translate ([((CARD_LONG_EDGE/2) -(TAB_THICKNESS/2)),-WALL_THICKNESS-EXTRA_SPACE,HEIGHT-WALL_THICKNESS-1-EXTRA_SPACE])

difference (){
cube ([TAB_THICKNESS,WALL_THICKNESS+EXTRA_SPACE,WALL_THICKNESS+EXTRA_SPACE]);
translate ([0, WALL_THICKNESS+(EXTRA_SPACE),0]) rotate ([135,0,0])

cube ([(TAB_THICKNESS+3), sqrt(((WALL_THICKNESS+EXTRA_SPACE)*(WALL_THICKNESS+EXTRA_SPACE))+((WALL_THICKNESS+EXTRA_SPACE)*(WALL_THICKNESS+EXTRA_SPACE))), sqrt(((WALL_THICKNESS+EXTRA_SPACE)*(WALL_THICKNESS+EXTRA_SPACE))+((WALL_THICKNESS+EXTRA_SPACE)*(WALL_THICKNESS+EXTRA_SPACE)))]);

}
			//*end wedge 1

			//*Start wedge 2
translate ([((CARD_LONG_EDGE/2) - (TAB_THICKNESS/2)),CARD_SHORT_EDGE,HEIGHT-WALL_THICKNESS-1-EXTRA_SPACE])

 difference (){
cube ([TAB_THICKNESS,WALL_THICKNESS+EXTRA_SPACE,WALL_THICKNESS+EXTRA_SPACE]);

translate ([0 ,0 ,0]) rotate ([-45,0,0])  cube ([(TAB_THICKNESS+3),sqrt(((WALL_THICKNESS+EXTRA_SPACE)*(WALL_THICKNESS+EXTRA_SPACE))+((WALL_THICKNESS+EXTRA_SPACE)*(WALL_THICKNESS+EXTRA_SPACE))),sqrt(((WALL_THICKNESS+EXTRA_SPACE)*(WALL_THICKNESS+EXTRA_SPACE))+((WALL_THICKNESS+EXTRA_SPACE)*(WALL_THICKNESS+EXTRA_SPACE)))]);
}
			//*end wedge 2

translate ([((CARD_LONG_EDGE/2) -(TAB_THICKNESS/2)),-WALL_THICKNESS-EXTRA_SPACE,HEIGHT-1])  cube ([TAB_THICKNESS, WALL_THICKNESS+EXTRA_SPACE, 1]); 					//*Tab

translate ([((CARD_LONG_EDGE/2) -(TAB_THICKNESS/2)),CARD_SHORT_EDGE,HEIGHT-1])  cube ([TAB_THICKNESS, WALL_THICKNESS+EXTRA_SPACE, 1]);				//*Tab

difference()
{
	translate ([-WALL_THICKNESS-EXTRA_SPACE, -WALL_THICKNESS-EXTRA_SPACE, 0 ]) cube ([CARD_LONG_EDGE + (WALL_THICKNESS*2)+ALL_EXTRA_SPACE, CARD_SHORT_EDGE + (WALL_THICKNESS*2)+ALL_EXTRA_SPACE, WALL_THICKNESS]);  						//*Bottom Plate

	translate([CARD_LONG_EDGE/2,CARD_SHORT_EDGE/2,-WALL_THICKNESS]) scale([BOTTOM_CUTOUT_HEIGHT_RATIO,1,1]) cylinder(h=BOTTOM_CUTOUT_LENGTH,r=BOTTOM_CUTOUT_RADIUS);  //*Bottom cutout to cut through bottom plate
}

difference()
{
	cube ([CARD_LONG_EDGE,CARD_SHORT_EDGE,HEIGHT]);		//*Main Body

	translate([ ((CARD_LONG_EDGE / 2) + (TAB_THICKNESS/2)), -.5, ((HEIGHT+ WALL_THICKNESS) / 4) ]) cube ([2, CARD_SHORT_EDGE + 2, HEIGHT]);	//*Tab cutout

	translate([ ((CARD_LONG_EDGE / 2) - ((TAB_THICKNESS/2)+2)), -.5, ((HEIGHT+ WALL_THICKNESS)/ 4) ]) cube ([2, CARD_SHORT_EDGE + 2, HEIGHT ]);  //*Tab cutout

	translate([WALL_THICKNESS,WALL_THICKNESS,WALL_THICKNESS]) cube ([CARD_LONG_EDGE - (WALL_THICKNESS*2),CARD_SHORT_EDGE - (WALL_THICKNESS*2),HEIGHT]);			//*Hole

    translate([-WALL_THICKNESS/2,CARD_SHORT_EDGE/2,HEIGHT]) scale([1,END_CUTOUT_WIDTH_RATIO,1]) rotate([0,90,0]) cylinder(h=END_CUTOUT_LENGTH,r=END_CUTOUT_RADIUS);  //*End cutout
	translate([CARD_LONG_EDGE/2,CARD_SHORT_EDGE/2,-WALL_THICKNESS]) scale([BOTTOM_CUTOUT_HEIGHT_RATIO,1,1]) cylinder(h=BOTTOM_CUTOUT_LENGTH,r=BOTTOM_CUTOUT_RADIUS);  //*Bottom cutout to cut through main box
}
			//*End Bottom of Box

			//*Start Top of Box

translate ([SPACE_BETWEEN_BOTTOM_AND_LID, 0, 0])

difference()
{
	cube ([LID_OUTSIDE_LONG_THICKNESS+ALL_EXTRA_SPACE, LID_OUTSIDE_SHORT_THICKNESS+ALL_EXTRA_SPACE, HEIGHT]); 		//*Top Main Body

	translate([ ((LID_OUTSIDE_LONG_THICKNESS+ALL_EXTRA_SPACE) / 2)-((TAB_THICKNESS+1)/2), -.5, WALL_THICKNESS])
cube ([(TAB_THICKNESS+1), LID_OUTSIDE_SHORT_THICKNESS + 2, WALL_THICKNESS+1.15 ]); 	//*Tab Hole

	translate([WALL_THICKNESS,WALL_THICKNESS, WALL_THICKNESS])
cube ([LID_OUTSIDE_LONG_THICKNESS - (WALL_THICKNESS*2)+ALL_EXTRA_SPACE,LID_OUTSIDE_SHORT_THICKNESS - (WALL_THICKNESS*2)+ALL_EXTRA_SPACE,HEIGHT]);		//*Hole
}

			//* End Top of Box
```


[User]
Okay, I'm trying to design a planetary gear system for 3D printing, and I've got some specific needs that I'd like to parameterize.  I've already made a design, but it's got a few limitations and I'm sure I can improve it. I'd like an AI assistant to write a new one in OpenSCAD for me.

The basic structure is a ring gear (outer gear), a sun gear (center gear) and several planet gears that rotate between them. I would like the following aspects of the system to be fully customizable:

**Overall Dimensions & Structure:**
*   **Outer Ring Diameter (D):** The outer diameter of the ring gear.
*   **Thickness (T):** The overall thickness of the gear system. All gears should have the same thickness.
*   **Clearance (tol):** A general tolerance value to create space between gears.
*   **Number of Planets (number\_of\_planets):** The number of planet gears.
*   **Number of Teeth on Planets (number\_of\_teeth\_on\_planets):** Number of teeth on each planet gear.
*   **Approximate Number of Teeth on Sun (approximate\_number\_of\_teeth\_on\_sun):** An approximate number of teeth on the sun gear. The actual number of teeth should be calculated based on the number of planet gears and the planet teeth so that they all mesh perfectly.
*   **Pressure Angle (P):** The pressure angle of the gear teeth.
*   **Number of Teeth to Twist Across (nTwist):** The number of teeth to twist across when generating helical teeth, for helical gears.
*   **Planet Axle Diameter (pad):** The diameter of the hole in the center of each planet gear for an axle.
*   **Monogram Height (h):** Height of the monogram extrude on the ring. This should be a general number.

**Shaft Hole Customization (for Sun Gear):**
*   **Shaft Type (stype):** Either 0 for a hexagonal shaft or 1 for a round shaft with a flat.
*   **Width of Hexagonal Hole (w):** For a hexagonal shaft, the width of the hexagonal hole.
*   **Shaft Radius (sd):** For a round shaft with a flat, the radius of the shaft.
*  **Shaft Thickness at Flat (st):** For a round shaft with a flat, the thickness of the material at the flat section.

**Gear Tooth Parameters:**
*   **Maximum Depth Ratio of Teeth (DR):** This controls the maximum depth ratio of teeth, in relation to other parameters.

**Gear Meshing & Functionality:**

*   The number of teeth on the sun gear must be calculated such that the gears will all mesh correctly, this calculation should not be done by the user.
*   The gears should be designed as helical gears.
*   The calculations for pitch diameter, circular pitch and helix angle should be automatically handled by the code and use the provided parameters.
*   The teeth on the ring should be generated by cutting out material.
*   The Monogram is an example of the type of text that could be engraved into the outer ring. This can be text, or any custom shape.  For this reason, it should be a module that can be easily replaced, and the extrusion of the text should be done only on the ring gear.

**Modules and Requirements**

*   The design should be constructed using a modular approach, with separate modules for:
    *   The entire planetary gear set assembly
    *   A `herringbone` module to create herringbone style gears.
    *   A `gear` module that uses the `flat_extrude` module.
    *   A `flat_extrude` module
    *   A `gear2D` module to make the tooth profile in 2D.
    *   A `halftooth` module that makes half of a single gear tooth in 2D.
    *   An `involute_intersect_angle` function that calculates the angle of intersection between an involute and a circle.
    *   An `involute` function that calculates a point on an involute curve.

**Additional Notes:**

*   I would like the code to use `$fn` for circle resolution and avoid hard-coded `$fn` values in the modules that draw the gear teeth.
* I want the code to be written to be easy to modify later if I need to change things around.
*   Please include comments in the code so it is easy to understand.
*   Make sure all modules work correctly and mesh together.

This design is for 3D printing, so clearances between parts are essential, and the code should allow for simple changes to the clearance.

I think that's everything. Let me know if you have any questions.

[Assistant]
planetarygear.scad:
```
// Planetary gear bearing (customizable)

// outer diameter of ring
D=51.7;
// thickness
T=15;
// clearance
tol=0.15;
number_of_planets=5;
number_of_teeth_on_planets=7;
approximate_number_of_teeth_on_sun=9;
// pressure angle
P=45;//[30:60]
// number of teeth to twist across
nTwist=1;
// width of hexagonal hole.  For hex safts.
w=6.7;
// Shaft radius.  For round saft with a flat.
sd=6;
// Shaft thinkness at flat  For round saft with a flat..
st=5;
// Shaft type: 0=hex, 1=round w/flat.
stype=1;
// Planet axile diameter.
pad=4;

DR=0.5*1;// maximum depth ratio of teeth

m=round(number_of_planets);
np=round(number_of_teeth_on_planets);
ns1=approximate_number_of_teeth_on_sun;
k1=round(2/m*(ns1+np));
k= k1*m%2!=0 ? k1+1 : k1;
ns=k*m/2-np;
echo(ns);
nr=ns+2*np;
pitchD=0.9*D/(1+min(PI/(2*nr*tan(P)),PI*DR/nr));
pitch=pitchD*PI/nr;
echo(pitch);
helix_angle=atan(2*nTwist*pitch/T);
echo(helix_angle);

phi=$t*360/m;

translate([0,0,T/2]){
	difference(){ // This makes the outer ring.
		cylinder(r=D/2,h=T,center=true,$fn=100);
		herringbone(nr,pitch,P,DR,-tol,helix_angle,T+0.2);
		difference(){
			translate([0,-D/2,0])rotate([90,0,0])monogram(h=10);
			cylinder(r=D/2-0.25,h=T+2,center=true,$fn=100);
		}
	}
	rotate([0,0,(np+1)*180/ns+phi*(ns+np)*2/ns])
	difference(){ // This makes the sun.
		mirror([0,1,0])
			herringbone(ns,pitch,P,DR,tol,helix_angle,T);
		if(stype==0)
			cylinder(r=w/sqrt(3),h=T+1,center=true,$fn=6);
		else
			difference(){ // This makes a hole for a flat shaft.
				cylinder(r=sd/2,h=T+1,center=true,$fn=100);
				translate([st-(sd/2),-(sd/2),-(T+1)/2])
					cube([sd, sd, T+1]);	// This is the flat in the shaft hole.
			}
	}
	// Now make the planets.
	for(i=[1:m])
		rotate([0,0,i*360/m+phi])
			translate([pitchD/2*(ns+np)/nr,0,0])
				rotate([0,0,i*ns/m*360/np-phi*(ns+np)/np-phi])
					difference(){ // make an axial hole in each planet.
						herringbone(np,pitch,P,DR,tol,helix_angle,T);
						cylinder(r=pad/2,h=T+1,center=true,$fn=100);	// This is the hole.
					}
}

// Makes the teeth on the inside of the outer ring.
module monogram(h=1)
linear_extrude(height=h,center=true)
translate(-[3,2.5])union(){
	difference(){
		square([4,5]);
		translate([1,1])square([2,3]);
	}
	square([6,1]);
	translate([0,2])square([2,1]);
}

module herringbone(
	number_of_teeth=15,
	circular_pitch=10,
	pressure_angle=28,
	depth_ratio=1,
	clearance=0,
	helix_angle=0,
	gear_thickness=5){
union(){
	gear(number_of_teeth,
		circular_pitch,
		pressure_angle,
		depth_ratio,
		clearance,
		helix_angle,
		gear_thickness/2);
	mirror([0,0,1])
		gear(number_of_teeth,
			circular_pitch,
			pressure_angle,
			depth_ratio,
			clearance,
			helix_angle,
			gear_thickness/2);
}}

module gear (
	number_of_teeth=15,
	circular_pitch=10,
	pressure_angle=28,
	depth_ratio=1,
	clearance=0,
	helix_angle=0,
	gear_thickness=5,
	flat=false){
pitch_radius = number_of_teeth*circular_pitch/(2*PI);
twist=tan(helix_angle)*gear_thickness/pitch_radius*180/PI;

flat_extrude(h=gear_thickness,twist=twist,flat=flat)
	gear2D (
		number_of_teeth,
		circular_pitch,
		pressure_angle,
		depth_ratio,
		clearance);
}

module flat_extrude(h,twist,flat){
	if(flat==false)
		linear_extrude(height=h,twist=twist,slices=twist/6)child(0);
	else
		child(0);
}

module gear2D (
	number_of_teeth,
	circular_pitch,
	pressure_angle,
	depth_ratio,
	clearance){
pitch_radius = number_of_teeth*circular_pitch/(2*PI);
base_radius = pitch_radius*cos(pressure_angle);
depth=circular_pitch/(2*tan(pressure_angle));
outer_radius = clearance<0 ? pitch_radius+depth/2-clearance : pitch_radius+depth/2;
root_radius1 = pitch_radius-depth/2-clearance/2;
root_radius = (clearance<0 && root_radius1<base_radius) ? base_radius : root_radius1;
backlash_angle = clearance/(pitch_radius*cos(pressure_angle)) * 180 / PI;
half_thick_angle = 90/number_of_teeth - backlash_angle/2;
pitch_point = involute (base_radius, involute_intersect_angle (base_radius, pitch_radius));
pitch_angle = atan2 (pitch_point[1], pitch_point[0]);
min_radius = max (base_radius,root_radius);

intersection(){
	rotate(90/number_of_teeth)
		circle($fn=number_of_teeth*3,r=pitch_radius+depth_ratio*circular_pitch/2-clearance/2);
	union(){
		rotate(90/number_of_teeth)
			circle($fn=number_of_teeth*2,r=max(root_radius,pitch_radius-depth_ratio*circular_pitch/2-clearance/2));
		for (i = [1:number_of_teeth])rotate(i*360/number_of_teeth){
			halftooth (
				pitch_angle,
				base_radius,
				min_radius,
				outer_radius,
				half_thick_angle);
			mirror([0,1])halftooth (
				pitch_angle,
				base_radius,
				min_radius,
				outer_radius,
				half_thick_angle);
		}
	}
}}

module halftooth (
	pitch_angle,
	base_radius,
	min_radius,
	outer_radius,
	half_thick_angle){
index=[0,1,2,3,4,5];
start_angle = max(involute_intersect_angle (base_radius, min_radius)-5,0);
stop_angle = involute_intersect_angle (base_radius, outer_radius);
angle=index*(stop_angle-start_angle)/index[len(index)-1];
p=[[0,0], // The more of these the smoother the involute shape of the teeth.
	involute(base_radius,angle[0]+start_angle),
	involute(base_radius,angle[1]+start_angle),
	involute(base_radius,angle[2]+start_angle),
	involute(base_radius,angle[3]+start_angle),
	involute(base_radius,angle[4]+start_angle),
	involute(base_radius,angle[5]+start_angle)];

difference(){
	rotate(-pitch_angle-half_thick_angle)polygon(points=p);
	square(2*outer_radius);
}}

// Mathematical Functions
//===============

// Finds the angle of the involute about the base radius at the given distance (radius) from it's center.
//source: http://www.mathhelpforum.com/math-help/geometry/136011-circle-involute-solving-y-any-given-x.html

function involute_intersect_angle (base_radius, radius) = sqrt (pow (radius/base_radius, 2) - 1) * 180 / PI;

// Calculate the involute position for a given base radius and involute angle.

function involute (base_radius, involute_angle) =
[
	base_radius*(cos (involute_angle) + involute_angle*PI/180*sin (involute_angle)),
	base_radius*(sin (involute_angle) - involute_angle*PI/180*cos (involute_angle))
];

```