[User]
Okay, so I'm really frustrated with how loose all my pegboard accessories are. They wobble, fall out, it's a mess. I found this OpenSCAD file online that's *almost* perfect, it's called `peg.scad`, and it lets you customize the fit, which is exactly what I need! It lets you create U-hooks, L-hooks, supported round hooks, and regular round hooks, plus shelf supports! I even have control over the end arm of U-shapes now and width. It's mostly great, but I'm having a few issues with how the peg arm lengths are calculated and I think the round hooks could be better. The pegboard hole size I use isn't always consistent and I need these to fit well regardless.

I'd love an OpenSCAD file that builds upon the functionality already in this peg.scad file. I need the following:

**Core Functionality (Already Present):**

*   **Peg Types:** U-hook, L-hook, supported round hook, and regular round hook. These are all working great. I also need the shelf support ability for these pegs too, which adds an extra peg and support arm.
*   **Customizable Fit:** It needs to be *tight* fit. The existing file uses a tolerance variable, which is great, but I'd also like to ensure I can adjust it on the peg radius itself and maybe even at the actual "hook" of the design.
*   **Peg Length:** It allows me to specify the peg length, and I want to retain this.
*   **Hole Size:** I can already specify the hole size for the pegboard, it defaults to 7mm, but I need it to be customizable.
*   **Backing Board Thickness:** I need to be able to specify the thickness of the pegboard itself.
*   **Peg Spacing:** I need to be able to set the space between the holes on my pegboard (peg offset)
*   **Width Adjustment**: Ability to reduce the width of the hooks.
* **End arm percentage control**: For U-shapes control over the end arm size

**Improvements and Requests:**

1.  **Peg Arm Length Accuracy:** The existing code has a problem with how it calculates the length of the peg arms, especially for the L and U shapes. It doesn't always extend the correct distance from the board, and I have to keep tweaking the value manually. I need an accurate automatic calculation for the arm length based on the input parameters.
2.  **Round Hook Issues:** The round hook in the existing file gets a bit weird when I try to make the hook width thinner, the curve appears off. Can we make the round hook width calculation better or use an alternative method? The current implementation also has an issue with peg hole size, so I would like that fixed.
3. **Multiple Peg Sizes**: Currently the hole size is controlled by a single variable, `hole_size` I would like to be able to define 2 variables here, `peg_hole_size` and `peg_size`. This will let me have different size holes for accessories while maintaining a uniform peg size.
4.  **Better Round Peg:** Currently the peg itself is just a sphere and cylinder, this is great but I think the bottom of the cylinder needs to be rounded, making a smooth transition from sphere to cylinder and then cylinder to rounding.
5.  **Parameter Descriptions:** I would like to also have the comment parameter in the code, this allows me to see what I'm doing in the customizer.

**Libraries:**

I'm not using any libraries myself, but the `peg.scad` file has no dependencies either. So I don't need any specific libraries.

Essentially, I want a file that lets me create these pegboard accessories with *precise* fits every time, with fixes to the current issues in the existing `peg.scad` file. Can you create a parametric OpenSCAD file that does this?

[Assistant]
peg.scad:
```

/* [Peg Type] */
// Type of peg item:
peg_item = "U"; // [L:L shape Hook,R:Round hook,B:Supported Round hook,U:U hook]

// If U shape how big the is the end upright arm in relation to arm, Default 25%:
end_arm_percentage=25; // [10:100]

// Length of hook from peg board, default 20:
peg_length = 20; // [20:80]

// Add shelf support for L,U or supported Hook, adds an extra peg and support arm
add_shelf_support = "N"; // [N: No,Y: Yes]

// Hook width in relation to hole size, less percentage thinner hook, default 100%:
hook_width_percentage=100; // [60:100]

/* [Peg board] */
// size in mm the peg holes are, default 7mm:
hole_size = 7; // [1:10]

// Backing material Tolerance, 10 for softest , 0 for harder, default 5:
tolerance = 5; // [1:10]

// Thinkness of the peg board backing, default 6mm ( 1/4 ):
backing_board = 6; // [1:20]

// The space middle to middle of each hole on the backing board, default 25mm (1inch):
peg_offset = 25; // [20:40]

sphere_size=hole_size*(1+(tolerance*.006));
cylinder_radius=(hole_size-.5)/2;
object_width=hole_size*(hook_width_percentage/100)+(tolerance/10);
object_clipping=object_width/2+1;
cylinder_height=back_board-.5-(tolerance/5);
end_peg_length=peg_length*(end_arm_percentage/100);
hook_width=hole_size*(hook_width_percentage/100)-.5;

module fit_peg()
{
union() {
sphere(3.6, $fn=100);
translate ([0,0,-1]) cylinder(h = backing_board+.5, r1 = cylinder_radius, r2 = cylinder_radius,$fn=100);
}

}
module back_arm() {

if ( peg_item == "R" ) { translate ([13.75,0,(object_width-.5)+1]) cube( size= [28.75,hook_width,hook_width], center=true); } else { translate ([5,0,(object_width-.5)+1]) cube( size= [48,hook_width,hook_width], center=true); }
}

module arm() {
translate ([-15.75,0,peg_length/2+5]) cube( size= [hook_width,hook_width,peg_length], center=true);
}

module end_arm() {
translate ([-15.75+(end_peg_length/2),0,peg_length+5]) cube( size= [end_peg_length+hook_width,hook_width,hook_width], center=true);
}
module hook() {
difference() {
	translate ([0,cylinder_radius,13.5+(object_width-.5)]) {
		rotate(a=[90,90,0]) {
			rotate_extrude(convexity = 10, $fn = 100)
			translate([6+cylinder_radius, 0, 0])
			square(size=hook_width, $fn = 100);
		}
	}

translate ([0,-12.5,0]) cube( size= [80,80,80], center=false);
}
}

module brace_arm() {
	translate ([25-peg_offset-peg_offset,0,0]) fit_peg();
	translate ([-24,0,(object_width-.5)+1]) cube( size= [12,hook_width,hook_width], center=true);
	translate ([-peg_offset*1.125,-hook_width/2,hook_width])  {
	rotate([0,33-peg_length/3,0]) cube( size= [hook_width,hook_width,peg_length], center=false);
	}

}

module brace() {
difference() {
brace_arm();
translate ([-15.75+hook_width,0,peg_length/2+5]) cube( size= [hook_width,hook_width+2,peg_length], center=true);
}
}

rotate(a=[90,0,0]) {
difference() {
union() {
translate ([25-peg_offset,0,0])fit_peg();
translate ([25,0,0]) fit_peg();
if ( add_shelf_support == "Y" && peg_item != "R") { brace(); }
back_arm();
if ( peg_item == "L" || peg_item == "B" || peg_item == "U" ) { arm(); }
if ( peg_item == "R" || peg_item == "B") { hook(); }
if ( peg_item == "U" ) { end_arm(); }

}
translate ([0,-object_clipping,0]) cube( size= [190,3,190], center=true); // clipping plane
translate ([0,object_clipping,0]) cube( size= [190,3,190], center=true); // clipping plane
}
}
```


[User]
Okay, I'm looking to create a parametric elliptic paraboloid in OpenSCAD, similar to the existing `paraboloid` module I've found, but with the ability to control the shape differently. I want to be able to squish or stretch it in the x and y dimensions independently, effectively making an elliptical paraboloid instead of just a circular one.

The provided `paraboloid` module is a great start, but it's limited to a rotationally symmetric paraboloid, defined by:

*   `y`: height of the paraboloid along the z-axis
*   `f`: focus distance; the distance of the focus from the top or the focus point.
*   `rfa`: radius of the focal area
*   `fc`: a flag to control whether to center the paraboloid at its apex (0) or at the focus point (1).
*   `detail`: the $fn value for curve subdivisions

I'd like a new module, let's call it `elliptic_paraboloid`, that builds upon this but introduces two radii for controlling the base shape of the paraboloid. Instead of `rfa` being a single radius I'd like to use `rfa_x` and `rfa_y` which are radii at the focal area in x and y axis. Also instead of `x` being calculated directly from `f` and `y`, I'd like it to be controlled by x-axis and y-axis radii at the base of the paraboloid. Let's call these `base_x` and `base_y`, replacing the `x` variable calculation.

So, the `elliptic_paraboloid` module parameters should be:
*   `y`: height of the paraboloid along the z-axis
*   `f`: focus distance
*   `rfa_x`: radius of the focal area in x-axis
*  `rfa_y`: radius of the focal area in y-axis
*   `base_x`: x-radius at base of paraboloid
*   `base_y`: y-radius at base of paraboloid
*   `fc`: flag to control center position.
*   `detail`: the $fn value for curve subdivisions

Essentially, I want to replace the circular cross-section of the existing paraboloid with an elliptical cross-section. I still want to have the same functionality with the focus point and also center on top or in the focus point.
The mathematics of a paraboloid will be the same in terms of vertical z-position, I'd just like control the x and y width independently by the radii `base_x` and `base_y`.

Could you provide me with the OpenSCAD code for this `elliptic_paraboloid` module? I am not using any external libraries.

[Assistant]
Paraboloid.scad:
```
//////////////////////////////////////////////////////////////////////////////////////////////
// Paraboloid module for OpenScad
//
// Copyright (C) 2013  Lochner, Juergen
// http://www.thingiverse.com/Ablapo/designs
//
// This program is free software. It is
// licensed under the Attribution - Creative Commons license.
// http://creativecommons.org/licenses/by/3.0/
//////////////////////////////////////////////////////////////////////////////////////////////

module paraboloid (y=10, f=5, rfa=0, fc=1, detail=44){
	// y = height of paraboloid
	// f = focus distance
	// fc : 1 = center paraboloid in focus point(x=0, y=f); 0 = center paraboloid on top (x=0, y=0)
	// rfa = radius of the focus area : 0 = point focus
	// detail = $fn of cone

	hi = (y+2*f)/sqrt(2);								// height and radius of the cone -> alpha = 45° -> sin(45°)=1/sqrt(2)
	x =2*f*sqrt(y/f);									// x  = half size of parabola

   translate([0,0,-f*fc])								// center on focus
	rotate_extrude(convexity = 10,$fn=detail )		// extrude paraboild
	translate([rfa,0,0])								// translate for fokus area
	difference(){
		union(){											// adding square for focal area
			projection(cut = true)																			// reduce from 3D cone to 2D parabola
				translate([0,0,f*2]) rotate([45,0,0])													// rotate cone 45° and translate for cutting
				translate([0,0,-hi/2])cylinder(h= hi, r1=hi, r2=0, center=true, $fn=detail);   	// center cone on tip
			translate([-(rfa+x ),0]) square ([rfa+x , y ]);											// focal area square
		}
		translate([-(2*rfa+x ), -1/2]) square ([rfa+x ,y +1] ); 					// cut of half at rotation center
	}
}

paraboloid (y=50,f=10,rfa= 0,fc=1,detail=120);

```


[User]
Okay, I'd like to design a customizable pencil attachment that I can 3D print. It should be a kind of sleeve that fits around a standard pencil, and I want to be able to put text on the outside.

Here are the specific details I have in mind:

**Shape:**
The core of the attachment should be a cylindrical shape with a slight taper, sort of like a truncated cone. It should have a hollow center to fit the pencil. So, the outside diameter will be slightly bigger at one end than the other, and the inside diameter will match that taper but be smaller to allow for the wall thickness. The cylinder should be hollow.

**Customization:**
*   **Text:** I want to be able to write some text on the outside of the attachment. This text should wrap around the cylinder.
*   **Text Height:** The height of the text should be adjustable.
*   **Text Angle:** The angle of the text (relative to the vertical axis of the cylinder) should be adjustable, allowing for slanted text.
* **Text Spacing:** The spacing between the characters in the text should be adjustable.
*   **Overall length:** I'd also like to be able to adjust the length of the pencil sleeve itself, so I can make it as long or short as needed.

**Parameters:**

I'm thinking these parameters will be important to control in the OpenSCAD file:
*   `outer_radius_top` - the outer radius at the top of the sleeve.
*   `outer_radius_bottom` - the outer radius at the bottom of the sleeve.
*   `inner_radius_top` - the inner radius at the top of the sleeve
*   `inner_radius_bottom` - the inner radius at the bottom of the sleeve.
*   `sleeve_length` - The overall length of the pencil sleeve
*   `text_string` - the text to display on the sleeve
*   `text_height` - The height of the text
*   `text_angle` - the angle of the text in degrees (around the z axis).
* `text_spacing` - the space between characters
* `text_x_offset` - an x offset to start the text at.
* `text_z_offset` - a z offset to place the text at.

**Libraries:**

I'd like to use the `write/Write.scad` library to write the text on the cylinder if that's possible.

Essentially, I need a parametric OpenSCAD file that creates the described pencil sleeve with customizable text. Could you help me generate the code for that?

[Assistant]
Design2.scad:
```

use <write/Write.scad>
// preview[view:west, tilt:side]
text_on_pencil_identifier="cool story bro";
letter_height=5;//[3:8]
angle=10;//[-25:25]

difference(){
translate([0,0,0])
cylinder(r1=6,r2=7,h=25,center=true, $fn=128);

cylinder(r1=3.5,r2=4,h=50,center=true,$fn=6);

}

color([1,0,1])
writecylinder(text_on_pencil_identifier,[0,0,0],h=letter_height,6.5,25,space=1.2,rotate=angle,east=90,center=true );

```


[User]
Okay, I'd like to design some fraction manipulatives for kids to learn about fractions. I want to be able to 3D print them.

The basic idea is to have two types of parts: fraction sectors and a plate. The fraction sectors are basically pieces of a pie, and the plate has a circle divided into the correct number of parts to match.

Here's a more detailed description of what I'm looking for:

**Fraction Sectors:**

*   Each sector should be a slice of a circle with a specified diameter and thickness.
*   They should have a small lip/overhang around the outside edge on one side to make them stackable. This would work by making one side of the fraction slightly thinner and with a lip, so that the lip goes inside the piece below. This needs to work for stacking multiple pieces.
*   I want to be able to specify the number of sectors that make up a whole (e.g., 3 for thirds, 4 for quarters, 6 for sixths).
*   Each sector should have a fraction printed on it, such as "1/3", "1/4", etc.
*   There should be some clearance to allow the pieces to stack nicely.

**Plates:**

*   The plates are basically circles divided into sections corresponding to the number of parts.
*   The plate should have a central solid disk area and a lip or rim around it.
*   I would like a line marking the division between different sectors on the plate.
*   Like the sectors, the plate should have a fraction printed on it to indicate the total number of sectors (e.g., "3/3", "4/4", etc).

**Parameters:**

I want these to be parametric so I can easily change things:

*   `diameter`: The diameter of the circle that the sectors and plate are based on.
*   `thickness`: The thickness of the sectors and plate.
*   `parts`: The number of parts/sectors for the circle. For example, if parts=4 the pieces will represent fourths, and there will be 4 pieces as well as the plate being in 4 sections.
*   `tol`: A small clearance/tolerance for stacking the sectors.
*   `fine`:  A value controlling the smoothness of the curves (for example, `$fn`).

**Functionality:**

*   I want two separate modules: `sectorWithFraction()` and `plateWithFraction()`.  I want to be able to choose which one to print by selecting "fraction" or "plate" for a `part` variable. The `print_part()` will then select the correct module based on the `part` variable.
*   I need to use the `write` module from the `write/Write.scad` library. I do *not* need you to include the actual library code in the response.

**In summary:**

I need an OpenSCAD file that generates 3D printable fraction manipulatives. I need stackable fraction sectors with a printed fraction, and matching plates also with a fraction printed on them. I want the design to be parametric using `diameter`, `thickness`, `parts`, `tol`, and `fine`, and I need to use the `write/Write.scad` library for text printing. I want a variable called `part` which controls if the sector or the plate is printed.

[Assistant]
fraction.scad:
```
use <write/Write.scad>

// Which one would you like to see?
part = "fraction"; // [fraction:Fraction,plate:Plate]

//Diameter of the disk
diameter = 60;

//Thickness of the disk
thickness = 10;

//clearance
tol=1;

//number of parts
parts=3;

//Smoothness (large numers -> long rendering!)
fine = 50;		// [50:200]

print_part();

module print_part() {
	if (part == "fraction") {
		sectorWithFraction();
	} else if (part == "plate") {
		plateWithFraction();
	} else {
		echo ("ERROR: part not found");
	}
}

module sector(d,t,tol) {
	difference(){
		cylinder(h=t,r=d/2,center=true,$fn=fine);
		union() {
			rotate([0,0,180/parts]) translate([(d+2)/2-tol/2,0,0]) cube(size=[d+2,d+2,t+2], center=true);
			rotate([0,0,-180/parts]) translate([-(d+2)/2+tol/2,0,0]) cube(size=[d+2,d+2,t+2], center=true);
		}
	}
}

module sectorStackable() {
	intersection() {
		union() {
			translate([0,0,-thickness*4/5]) sector(diameter-3, thickness, tol+3);
			hull() {
				translate([0,0,thickness*1/5]) sector(diameter-3, thickness, tol+3);
				translate([0,0,thickness*0.5]) sector(diameter, thickness, tol);
			}
		}
		difference() {
			translate([0,0,thickness*0.05]) sector(diameter, thickness*1.1, tol);
			translate([0,0,thickness]) sector(diameter-2, thickness, tol+2);
		}
	}
}

module fraction() {
	translate([-0.4,-diameter/2.6+8*diameter/60,thickness/2]) write(str(1),t=2*thickness/10,h=diameter*7/60,center=true);
	translate([0.1,-diameter/2.6+7*diameter/60,thickness/2]) write("_",t=2*thickness/10,h=diameter*7/60,center=true);
	translate([0.1,-diameter/2.6-2*diameter/60,thickness/2]) write(str(parts),t=2*thickness/10,h=diameter*7/60,center=true);
}

module sectorWithFraction() {
	difference() {
		sectorStackable();
		fraction();
	}
}

innerR = (diameter-2)/2;
outerR = diameter*0.55;

module plate() {
	union() {
		difference() {
			cylinder(h=thickness*0.2,r=outerR,center=true,$fn=fine);
			translate([0,0,thickness*0.1]) cylinder(h=thickness*0.2,r=innerR,center=true,$fn=fine);
		}
		intersection(){
			translate([0,diameter/4,0]) cube(size = [1,diameter/2,thickness*0.2], center = true);
			rotate([0,0,180]) sector(diameter*2, thickness*0.4, tol);
		}
		for (i = [0:parts-1]) {
			rotate([0,0,360*i/parts]) translate([0,outerR-(outerR-innerR)/2+1,thickness*0.1]) cube(size = [2,outerR-innerR+2,thickness*0.4], center = true);
		}
	}
}

module plateFraction() {
	translate([0.1,-diameter/2.8+8*diameter/60,thickness*0.05]) write(str(parts),t=2*thickness/10,h=diameter*7/60,center=true);
	translate([0.1,-diameter/2.8+7*diameter/60,thickness*0.05]) write("_",t=2*thickness/10,h=diameter*7/60,center=true);
	translate([0.1,-diameter/2.8-2*diameter/60,thickness*0.05]) write(str(parts),t=2*thickness/10,h=diameter*7/60,center=true);
}

module plateWithFraction() {
	difference() {
		plate();
		plateFraction();
	}
}

```


[User]
Okay, I'm looking to create a customizable box with a lithophane embedded in its sides, and I want to expand on a design I've been playing with. I have a basic box and lithophane generator, but it's pretty rigid and I'd like to make it more flexible.

Here’s what I need:

**Core Functionality:**

1.  **Parametric Box:** The box should be fully parametric in terms of width, length, height, and wall thickness. It should be a rectangular prism, not just a cube as it is now.
2.  **Lithophane Integration:** I want to integrate a lithophane on one or more of the box's sides. The lithophane should use an external image file for the depth map. Ideally, I can choose which sides to put the image on (front, back, left, right, or any combination), and also turn each image off. I might want the image to take up the full side of the box, or a smaller section with a border.
3.  **Lithophane Customization:**
    *   The lithophane generation should have parameters for: image scale (to adjust the overall size within the chosen panel), image offset (to position within panel), and the number of layers.
    *  The lithophane should have a parameter for the number of white base layers.
    *   The lithophane should be generated as a surface with the option to add base layers beneath it.
4.  **Lid:** The box should have a separate lid that fits onto the top. It should also be parametric and allow adjustment for the height or thickness of the lid. I'd like a parameter to set how much the lid overlaps the box itself, for a tight fit.
5. **LED and Battery cavity:** This will need a cavity in the box that can hold a small LED and battery (say a CR2032).  I want to specify the diameter and depth of the cavity.  I'd also like to position this cavity on the base of the box and optionally in the lid.
6. **Mounting holes:**  I'd like the option of adding mounting holes into any or all sides of the box.  I should be able to specify the diameter and the number of holes.

**User Interface/Parameters:**

I want these to be configurable via OpenSCAD's customizer:

*   **Box Dimensions:**
    *   `box_width`
    *   `box_length`
    *   `box_height`
    *  `wall_thickness`
*   **Lithophane Settings:**
    *   `image_file` (string for the image file path)
    *   `lithophane_sides` (dropdown/checkboxes to select sides for lithophanes)
        *  Individual `image_on_front`, `image_on_back`, `image_on_left`, `image_on_right` (checkboxes)
    *   `image_scale`
    *   `image_offset_x`
    *   `image_offset_y`
    *   `lithophane_layers` (integer - number of layers in the lithophane)
        * `base_layers` (number of base layers beneath the lithophane)
    *   `layer_height`
*   **Lid Settings:**
    *   `lid_thickness`
    *   `lid_overlap` (how much the lid extends past the box's outer edge)
*   **LED/Battery Cavity:**
    *   `led_battery_cavity_diameter`
    *   `led_battery_cavity_depth`
    * `led_cavity_on_base` (checkbox)
    * `led_cavity_on_lid` (checkbox)
*   **Mounting Holes:**
    * `mounting_hole_diameter`
    * `mounting_hole_number`
* **Units:**  Assume all units are millimeters
* **OpenSCAD Version:** I would like the design to be in the most recent version of OpenSCAD.

**Code Organization:**

*   I'd like to use modules for each part (e.g., `box()`, `lid()`, `lithophane()`, `cavity()`). This will make the design easier to manage and modify in the future.

**Libraries:**

*   I am not using any external libraries at this time, but I am open to it if needed to make the design more easily managed.
*  Please do not assume I have any specific libraries installed, but let me know if you use them, I will install them.

Essentially, I’m aiming for a flexible and easily customizable box design with lithophanes and lighting features. I want to be able to easily control the basic dimensions, the location and parameters of the lithophanes, and the dimensions of the cavity and lid. Can you help me create a design?

[Assistant]
lith0_box2.scad:
```
// preview[view:south, tilt:side]

/* [Image] */

// Load a 40x40 pixel image.(images will be stretched to fit) Simple photos work best. Don't forget to click the Invert Colors checkbox!

image_file = "image-surface.dat"; // [image_surface:40x40]

width_of_box=40;//[40:200]

top_thickness=2;//[2:4]
box_thickness=1;//[1:2]

// Which one would you like to see?
part = "box"; // [first:box,second:lid]

/* [Hidden] */
up =0;
down=0;
right =0;
left=0;
size_of_box=[width_of_box,width_of_box,width_of_box];
center=false;
scale=2;//[1:10]
scale_image=scale/10;

if (part == "first") {
		box(size_of_box);
		writeImage(where=[0,0,0],size=size_of_box,face="right");
writeImage(where=[0,0,0],size=size_of_box,face="left");
writeImage(where=[0,0,0],size=size_of_box,face="front");
writeImage(where=[0,0,0],size=size_of_box,face="back");
translate([0,0,-height_of_box/2])
cube([length_of_box, width_of_box,4 ], center=true);

	} else if (part == "second") {
		boxTop(size_of_box,top_thickness);
}
module box(s){

if (str(s)[0] != "["){
difference(){
		// its a square cube (size was not a matrix so make it one)
		cube([s,s,s], center=true);

		translate([0,0,box_thickness])
		cube([s-box_thickness,s-box_thickness,s-box_thickness], center=true);
}
}else{
difference(){
// its not a square cube
		cube(s, center=true);

		translate([0,0,box_thickness])
		cube([s[0]-box_thickness,s[1]-box_thickness,s[2]-box_thickness], center=true);
}
	}
}
module boxTop(s,thickness){
if (str(s)[0] != "["){
	translate([(s*3/2),0,-s/2+thickness/2]){
		cube([s,s,thickness], center=true);
		translate([0,0,thickness])
		cube([s-(box_thickness+.5),s-(box_thickness+.5),thickness*2], center=true);
	}
}else{
translate([(s[0]*3/2),0,-s[2]/2+thickness/2]){
		cube([s[0],s[1],thickness], center=true);
		translate([0,0,thickness])
		cube([s[0]-(box_thickness+.5),s[1]-(box_thickness+.5),thickness*2], center=true);
	}
}
}
module writeImage(where,size, face){
    if (str(size)[0] != "["){
        // its a square cube
        writethecube(where,[size,size,size],
        face=face,up=up,down=down,right=right,left=left);

    }else{
        // its not square
        writethecube(where,size,
        face=face,up=up,down=down,right=right,left=left);
    }
}

module writethecube(where,size){

    if (face=="front") {
        translate([where[0]+right-left,where[1]-size[1]/2,where[2]+up-down])

	rotate(90,[1,0,0])
       side();
        //scale(scale_image)
        //image here
    }
    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)
        side();
        //scale(scale_image)
        //image here
    }
    if (face=="left") {
        translate([where[0]-size[0]/2,where[1]-right+left,where[2]+up-down ])

  // rotate around the x axis
        //rotate(90,[0,-1,0])
	rotate(90,[1,0,0])   // rotate around the x axis
        rotate(90,[0,-1,0])  // rotate around the y axis  (z before rotation)
       side();
       //scale(scale_image)
        //image here
    }
    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)
        side();//scale(scale_image)
        //image here
    }

}

/* [Adjustments] */
//rotate([0,90,0])
//side();
module side(){

// What layer height will you slice this at?  The thinner the better.
layer_height = 0.2;

// The lower the layer height, the more layers you can use.
number_of_layers = 12; // [5:20]

/* [Hidden] */

length = 40;
width = 40;
// base (white) will always be 2 layers thick
min_layer_height = layer_height*2;
hole_radius = hole_diameter/2;
height = layer_height*number_of_layers;

union() {
  // take just the part of surface we want
  difference() {
    translate([0, 0, min_layer_height]) scale([1,1,height]) surface(file=image_file, center=true, convexity=5);
    translate([0,0,-(height+min_layer_height)])
linear_extrude(height=height+min_layer_height)
square([length, width], center=true);
  }
  linear_extrude(height=layer_height*2) square([length+4, width+4], center=true);

  linear_extrude(height=height+min_layer_height){
	  difference(){

	      square([length+4, width+4], center=true);

	      square([length, width], center=true);

	  }

  }
}

}

```


[User]
Okay, so I need a parametric motor mount for a 20mm square bar. I've got a basic design I hacked together, but it's not ideal. I'd like an OpenSCAD file that I can easily adjust for different motor sizes and mounting hole positions.

Here's what I'm envisioning:

The core of the mount will be a circular plate with a cut-out for the 20mm square bar.  The bar will pass through the plate and be secured by a surrounding lip.  The circular plate has four mounting holes, each of which needs to be adjustable with its radius from the centre of the plate. I'll likely need to add more mounting holes in the future, but that would be fine if I just duplicate the ones I have for now in the file.

Here are the main parameters I'd like to be able to control:

*   **`bar_size`**: The size of the square bar. In my initial design, it's 20mm.
*   **`plate_diameter`**: The diameter of the circular mounting plate.
*   **`plate_thickness`**:  The thickness of the circular mounting plate. In my initial version, this was set to 13, but I would like it to be adjustable.
*   **`support_wall_thickness`**: The thickness of the wall around the square bar cut-out.
*   **`mounting_hole_radius_offset`**: The radius of the mounting holes from the centre of the plate. I also have these fixed in my initial version at about 4.8 from the edge, but I would prefer the offset from the centre as input.
*   **`mounting_hole_diameter`**: The diameter of the mounting holes. In my initial design, these are 3.4 for an M3.
*   **`mounting_hole_depth`**: The depth of the mounting holes. It was 3 in my initial design but should be adjustable.

I'd like the bar cut-out to be a simple square hole, with the support walls running parallel to the outside walls of the square bar.

I've included my existing SCAD file as an example to show the design I'm going for, but please implement it parametrically using the variables described above. I'm not attached to the exact approach taken in my example code - if you have a better approach or library that should be used for efficiency, please use it.

```
tube_thickness=20.2;
support_wall_thickness=3;
plate_diameter=42.5;
difference(){
cylinder(r=(plate_diameter/2),h=13,$fn=60);
translate([-10,-plate_diameter/2,3]) cube([tube_thickness,plate_diameter,20],centre=true);
translate([-(plate_diameter/2),-plate_diameter/2,3]) cube([((plate_diameter/2)-(tube_thickness/2+support_wall_thickness)),plate_diameter,20]);
translate([((plate_diameter/2)-((plate_diameter/2)-(tube_thickness/2+support_wall_thickness))),-plate_diameter/2,3]) cube([((plate_diameter/2)-(tube_thickness/2+support_wall_thickness)),plate_diameter,20]);
//mounting holes //
translate([0,-(42.5/2)+4.8,0]) cylinder(r=1.7,h=3,$fn=60);
translate([0,(42.5/2)-4.8,0]) cylinder(r=1.7,h=3,$fn=60);
translate([-(42.5/2)+4.8,0,0]) cylinder(r=1.7,h=3,$fn=60);
translate([(42.5/2)-4.8,0,0]) cylinder(r=1.7,h=3,$fn=60);
}
```
For libraries, if there is a more efficient way to create holes, I'd be open to it, though I'd rather not add too many dependencies. The base functionality should be simple enough that only built-in OpenSCAD modules or common ones like BOSL or BOSL2 should be used.

Thanks!

[Assistant]
motor_mount_20mm.scad:
```
tube_thickness=20.2;
support_wall_thickness=3;
plate_diameter=42.5;
difference(){
cylinder(r=(plate_diameter/2),h=13,$fn=60);
translate([-10,-plate_diameter/2,3]) cube([tube_thickness,plate_diameter,20],centre=true);
translate([-(plate_diameter/2),-plate_diameter/2,3]) cube([((plate_diameter/2)-(tube_thickness/2+support_wall_thickness)),plate_diameter,20]);
translate([((plate_diameter/2)-((plate_diameter/2)-(tube_thickness/2+support_wall_thickness))),-plate_diameter/2,3]) cube([((plate_diameter/2)-(tube_thickness/2+support_wall_thickness)),plate_diameter,20]);
//mounting holes //
translate([0,-(42.5/2)+4.8,0]) cylinder(r=1.7,h=3,$fn=60);
translate([0,(42.5/2)-4.8,0]) cylinder(r=1.7,h=3,$fn=60);
translate([-(42.5/2)+4.8,0,0]) cylinder(r=1.7,h=3,$fn=60);
translate([(42.5/2)-4.8,0,0]) cylinder(r=1.7,h=3,$fn=60);
}

```


[User]
Okay, I'm looking to design a customizable box with lithophane panels on all sides. I've got a basic OpenSCAD file that does most of what I want, but it needs some work to be more flexible and user-friendly.

Here’s what I’m aiming for:

**Core Functionality (already mostly in place, but needing improvements):**

*   **Box with Lithophane Sides:** I want to create a box with lithophane images on each of its four sides, all derived from a single image source. The image should be stretched to fit the side if it's not square.
*   **Adjustable Box Dimensions:** The box should be parametric, allowing me to adjust the width, length, and height of the box. Currently, I can only adjust the width, making it always a cube.
*  **Adjustable Box Thickness**: The box walls should have a settable thickness (currently called `box_thickness`)
*   **Adjustable Lithophane Depth/Layers:** I need control over the depth of the lithophane (number of layers), which essentially controls the amount of light that comes through, and the layer height to make it print well.
*   **Lid:** A lid is necessary, and it should be customizable for a nice fit. Currently it's mostly working, but needs a little adjustment. I would like to be able to set a custom lid thickness.

**Desired Improvements:**

*   **Non-Cube Boxes:** I need the box to be able to be rectangular, and not just a cube. The current script sets `size_of_box` as a single number which results in a cube. This should be three numbers.
*   **Independent Side Image Scaling:** While I want the single image to generate all lithophanes, I might want to scale individual panels, to match to different sizes of the box sides. I would prefer to set width and height of each panel independently.
*   **Simplified Interface:** The existing code has a few variables that can be more clearly named or grouped, particularly around the scaling of the image.
*   **Better Lid Fit:** The current lid is a bit rough. I'd like it to have a snugger fit by subtracting the `box_thickness` and adding a small tolerance. I would also like an option to add an overhang to the lid, or to specify the overhang amount.
*   **Base:** The box should have an option to have a base that can close up the bottom of the box.
*   **No center:** All center=true should be removed in the final product.

**Specific Parameters I need to control:**

*   `box_width`
*   `box_length`
*   `box_height`
*   `box_thickness`
*   `lid_thickness`
*   `lithophane_layers` (number of layers)
*   `layer_height`
*   `lithophane_base_thickness` (thickness of the white base of the lithophane).
*   `lithophane_image` (file path to the grayscale image used for the lithophanes)
*   `lithophane_width_front`, `lithophane_height_front`
    `lithophane_width_back`, `lithophane_height_back`
    `lithophane_width_left`, `lithophane_height_left`
    `lithophane_width_right`, `lithophane_height_right`
*  `lid_overhang_amount` (optional: can be 0 for no overhang).

**Libraries:**

I am not using any external libraries right now, but I am open to suggestions if you think it would make sense to. I'd also like to avoid using any libraries I don't need.

Could you generate a parametric OpenSCAD file that addresses these needs? Please be verbose with comments so that it is easy to understand.

[Assistant]
lithopane_box.scad:
```
// preview[view:south, tilt:side]

/* [Image] */

// Load a 40x40 pixel image.(images will be stretched to fit) Simple photos work best. Don't forget to click the Invert Colors checkbox!

image_file = "image-surface.dat"; // [image_surface:40x40]

width_of_box=40;//[40:200]

top_thickness=2;//[2:4]
box_thickness=1;//[1:2]

// Which one would you like to see?
part = "box"; // [first:box,second:lid]

/* [Hidden] */
up =0;
down=0;
right =0;
left=0;
size_of_box=[width_of_box,width_of_box,width_of_box];
center=false;
scale=2;//[1:10]
scale_image=scale/10;

if (part == "first") {
		box(size_of_box);
		writeImage(where=[0,0,0],size=size_of_box,face="right");
writeImage(where=[0,0,0],size=size_of_box,face="left");
writeImage(where=[0,0,0],size=size_of_box,face="front");
writeImage(where=[0,0,0],size=size_of_box,face="back");
translate([0,0,-height_of_box/2])
cube([length_of_box, width_of_box,4 ], center=true);

	} else if (part == "second") {
		boxTop(size_of_box,top_thickness);
}
module box(s){

if (str(s)[0] != "["){
difference(){
		// its a square cube (size was not a matrix so make it one)
		cube([s,s,s], center=true);

		translate([0,0,box_thickness])
		cube([s-box_thickness,s-box_thickness,s-box_thickness], center=true);
}
}else{
difference(){
// its not a square cube
		cube(s, center=true);

		translate([0,0,box_thickness])
		cube([s[0]-box_thickness,s[1]-box_thickness,s[2]-box_thickness], center=true);
}
	}
}
module boxTop(s,thickness){
if (str(s)[0] != "["){
	translate([(s*3/2),0,-s/2+thickness/2]){
		cube([s,s,thickness], center=true);
		translate([0,0,thickness])
		cube([s-(box_thickness+.5),s-(box_thickness+.5),thickness*2], center=true);
	}
}else{
translate([(s[0]*3/2),0,-s[2]/2+thickness/2]){
		cube([s[0],s[1],thickness], center=true);
		translate([0,0,thickness])
		cube([s[0]-(box_thickness+.5),s[1]-(box_thickness+.5),thickness*2], center=true);
	}
}
}
module writeImage(where,size, face){
    if (str(size)[0] != "["){
        // its a square cube
        writethecube(where,[size,size,size],
        face=face,up=up,down=down,right=right,left=left);

    }else{
        // its not square
        writethecube(where,size,
        face=face,up=up,down=down,right=right,left=left);
    }
}

module writethecube(where,size){

    if (face=="front") {
        translate([where[0]+right-left,where[1]-size[1]/2,where[2]+up-down])

	rotate(90,[1,0,0])
       side();
        //scale(scale_image)
        //image here
    }
    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)
        side();
        //scale(scale_image)
        //image here
    }
    if (face=="left") {
        translate([where[0]-size[0]/2,where[1]-right+left,where[2]+up-down ])

  // rotate around the x axis
        //rotate(90,[0,-1,0])
	rotate(90,[1,0,0])   // rotate around the x axis
        rotate(90,[0,-1,0])  // rotate around the y axis  (z before rotation)
       side();
       //scale(scale_image)
        //image here
    }
    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)
        side();//scale(scale_image)
        //image here
    }

}

/* [Adjustments] */
//rotate([0,90,0])
//side();
module side(){

// What layer height will you slice this at?  The thinner the better.
layer_height = 0.2;

// The lower the layer height, the more layers you can use.
number_of_layers = 12; // [5:20]

/* [Hidden] */

length = 40;
width = 40;
// base (white) will always be 2 layers thick
min_layer_height = layer_height*2;
hole_radius = hole_diameter/2;
height = layer_height*number_of_layers;

union() {
  // take just the part of surface we want
  difference() {
    translate([0, 0, min_layer_height]) scale([1,1,height]) surface(file=image_file, center=true, convexity=5);
    translate([0,0,-(height+min_layer_height)])
linear_extrude(height=height+min_layer_height)
square([length, width], center=true);
  }
  linear_extrude(height=layer_height*2) square([length+4, width+4], center=true);

  linear_extrude(height=height+min_layer_height){
	  difference(){

	      square([length+4, width+4], center=true);

	      square([length, width], center=true);

	  }

  }
}

}

```


[User]
Okay, I'm looking to create a solar burner, and I've got a starting point from something I found online, but I need help making it more flexible and easier to customize.

The basic idea is a paraboloid reflector that focuses sunlight down to a small point.  I want to be able to easily change several key dimensions and also have the option to print either the reflector or a lid that fits over the top.

Here's what I have in mind, and it's based on the existing design:

**Core Requirements:**

*   **Parametric Paraboloid:** The core component is a paraboloid reflector. I need to be able to set the height of the reflector (`height`), and the radius of the focus area at the bottom (`focus_area`). The existing design uses a relationship of `height/focus_area` to be around 2.215, but I'd like to be able to change those independently, with the focus distance being calculated from `focus_area` which I am assuming is a radius of the focus. The calculation in the existing design, `fr= xr/2;` where `xr` is `2*f*sqrt(f/f)`, where f is the focus distance seems incorrect. It seems that `xr` should simply be `2*focus_area`. Also, the focus distance, f, should be `focus_area/2`.
*   **Resolution Control:** I need to control the number of facets used to approximate the paraboloid. This is represented by a `resolution` parameter in the existing design.
*   **Wall Thickness:** I need to be able to specify a wall thickness (`wall`) for the reflector, allowing me to create a hollow or solid body.
*   **Lid Option:**  I want an optional lid. If enabled, it needs a friction ring to hold it onto the reflector. The height of this friction ring should be controlled by a `lid` parameter.
*   **Clearance:**  The clearance between the lid's friction ring and the reflector should also be customizable using a `clr` parameter.
*   **Printable Objects:**  The program should allow me to select whether to print the reflector or the lid via a `print_object` parameter. I need `1` to output just the reflector, and `2` to just output the lid.

**Existing Logic to Clarify:**

*   The existing design centers the paraboloid's focus point at x=0, y=f, but I'm flexible on this.
*   The paraboloid generation uses a `rotate_extrude` operation of a 2D parabola.
*   The `paraboloid` module is constructed by cutting a 2D profile from a revolved cone, which is fine.
*   The existing calculation for the lid ring radius, `r=wall+2*sqrt(yr*yr-yr*hr)`, is not clear to me, and it seems incorrect, it seems to be calculating some radius based on the y values of the paraboloid. This is not needed, since the lid is a cylinder that should be a fixed distance from the edge of the top of the reflector.

**Specific Requests:**

1.  **Parametric OpenSCAD:** Please provide an OpenSCAD file that allows me to control all of the above parameters: `height`, `focus_area`, `resolution`, `wall`, `lid`, `clr`, and `print_object`.
2.  **Correct Calculations:** Please double-check the calculations within the `paraboloid` and `print_lit` modules, paying special attention to the lid ring radius, as I think there's an error there. The focus distance, f, should simply be `focus_area/2`, and the `xr` value should be `focus_area*2`.
3.  **Clear Comments:** Please add comments to the code explaining the calculations and the purpose of each section.
4. **No Libraries**: No external libraries are necessary to accomplish this design.

Essentially, I need a robust and flexible tool for designing and printing solar burner tubes and their lids.

Could you help me with that?

[Assistant]
solar_burner_tube.scad:
```
// Choose Solar Burner Tube or its lid
print_object=1;  // [1:Solar Burner Tube,2:Lid]

// The height of the reflector. I propose a ratio height/focus_area of 2.215
height=40; // [10:200]

// The focus point is at the smaller aperture. This defines the radius of it.
focus_area=18; //[1:80]

// The resolution of the reflector.
resolution= 45; //[45,80,120]

// Horizontal wall thickness. Set to 0 for a solid body. Try to find a good value for your nozzle size.
wall=1.7;

// The height of the lid ring. Set to 0 for no lid friction ring.
lid=3; // [0:10]

// The clearence for printing the lid ring and its friction.
clr=0.2;

//////////////////////////////////////////////////////////////////////////////////////////////
// Solar Burner Tube
//
// Copyright (C) 2013  Lochner, Juergen
// http://www.thingiverse.com/Ablapo/designs
//
// Warning: It is not recommanded to build this thing out of mirroring materials!
// It could cause fire and eye damage. Sun glases will not protect your eyes.
// Think of it as a big magnifying lens, laser beam and lighter when using it.
// Remove the reflecting surface for a save storage.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
//
// This program is free software. It is
// licensed under the Attribution - Creative Commons license.
// http://creativecommons.org/licenses/by/3.0/
//////////////////////////////////////////////////////////////////////////////////////////////

module paraboloid (y=50, f=10, rfa=0, fc=1, detail=44){
	// y = height of paraboloid
	// f = focus distance
	// fc : 1 = center paraboloid in focus point(x=0, y=f); 0 = center paraboloid on top (x=0, y=0)
	// rfa = radius of the focus area : 0 = point focus
	// detail = $fn of cone

	hi = (y+2*f)/sqrt(2);								// height and radius of the cone -> alpha = 45° -> sin(45°)=1/sqrt(2)
	x =2*f*sqrt(y/f);									// x  = half size of parabola

   translate([0,0,-f*fc])								// center on focus
	rotate_extrude(convexity = 10,$fn=detail )		// extrude paraboild
	translate([rfa,0,0])								// translate for fokus area
	difference(){
		union(){											// adding square for focal area
			projection(cut = true)																			// reduce from 3D cone to 2D parabola
				translate([0,0,f*2]) rotate([45,0,0])													// rotate cone 45° and translate for cutting
				translate([0,0,-hi/2])cylinder(h= hi, r1=hi, r2=0, center=true, $fn=detail);   	// center cone on tip
			translate([-(rfa+x ),0]) square ([rfa+x , y ]);											// focal area square
		}
		translate([-(2*rfa+x ), -1/2]) square ([rfa+x ,y +1] ); 					// cut of half at rotation center
	}
}

module reflector(hr=40, xr=20, details=80){
	// for optimum covered area:    hr/xr = 2.215  -> hr = 2x distance(from focus to parabola slope of 45°)
	fr= xr/2;  						// xr= 2*f*sqrt(f/f)
	yr=hr+fr;

	translate([0,0,hr])rotate([180,0,0])
	difference(){
		if (wall>0) {
			paraboloid (yr ,fr , wall , 1,details );
			if (lid>0) {
				translate([0,0, hr-lid/2])cylinder(h=lid,r=wall+2*sqrt(yr*yr-yr*hr),center=true,$fn=details);
				}
			}
		translate([0,0, -0.01])paraboloid (yr+0.02 ,fr , 0, 1,details );
		translate([0,0,-(fr+1)/2])cube([xr*2+wall*4+1,xr*2+wall*4+1,fr+1],center=true);
	}
}

module  print_lit(hr=40, xr=20, details=80){

	fr= xr/2;  						// xr= 2*f*sqrt(f/f)
	yr=hr+fr;

	if (wall>0) {
			if (lid>0) {
				difference(){
					translate([0,0,0])cylinder(h=lid+2+wall,r=wall+2*sqrt(yr*yr-yr*hr)+wall+clr,center=true,$fn=details);
					translate([0,0,wall])cylinder(h=lid+2+wall,r=wall+2*sqrt(yr*yr-yr*hr) +clr,center=true,$fn=details);
				}
			}
	}
}

if (print_object==2) print_lit(height,focus_area,resolution);
if (print_object==1) reflector(height,focus_area,resolution);
```


[User]
Okay, I've been playing around with this OpenSCAD design (V1_version_2.scad) that creates these really interesting stacked, twisted square-based forms. I'm imagining a variety of shapes, but the code is a little dense, and I'd really like to make it more user-friendly with better controls. I'm envisioning a completely parametric file that can generate all the shapes described in the original design and more.

Here's what I'm looking for in the new OpenSCAD file:

**Core Functionality:**

*   **Stacked, Twisted Squares:** The basic idea of stacking rotated squares along a vertical axis should remain, with each layer of squares being slightly rotated compared to the one below.
*   **Tapered Shape:** The overall shape should be a tapered form, with independently adjustable diameters at the top, middle, and bottom. This is currently controlled by `t`, `m`, and `b` variables.
*   **Height Control:** An adjustable `h` variable should set the overall height of the object.
*   **Layer Control:**  The number of layers, set by `layers`, should be adjustable.

**Enhanced Parametric Controls:**

*   **Rotation:**  The angle of rotation per layer, currently `r`, should remain adjustable.
*   **Squares Per Layer:** The number of squares per layer, controlled by `points`, should remain adjustable.
*   **Double Spiral Option:** The option to create a double spiral by adding mirrored squares, controlled by the boolean `d`, should remain as a configurable option.
*    **Hollowing Options:** The current options for `hollow` (No, Vase, and Bracelet) should be retained.
*   **Non-uniform scaling** I would like to retain the current approach for determining the size of the squares. It has a nice effect of making the shape concave and convex.

**Improved User Experience and Maintainability:**

*   **Descriptive Variable Names:** While the current variable names are relatively short, a little bit more description might help other users.
*   **Clear Comments:**  The file should have comments that explain the different sections, the variables and their roles, and the general design logic.
*   **Robustness:** The parameters should ideally have bounds checking to prevent invalid values.  For example, having a zero or negative number of layers should not break the script.

**Additional Features (if feasible and not too complex):**

*   **Preview Quality:** I'd like the preview renders to be a bit quicker, perhaps by using a lower number of layers in the preview setting, and then using the correct amount for the final renders.
*   **Base Offset:** I'm thinking it might be helpful to have a base offset, so the base could be moved up the Z axis. It would be helpful for making cups with a thicker base.

**Libraries:**

*   I don't expect it will be necessary but if for some reason you need them, please utilize the BOSL2 library.

Essentially, I'm looking for a more refined and user-friendly version of my current design, that is fully parametric. I'd like to be able to easily generate a wide range of variations without having to dive into the core logic of the script. Let me know if you need any more details. Thanks!

[Assistant]
V1_version_2.scad:
```
//Top Diameter in mm
t=70;  // [5:200]

//Middle Diameter
m=50; // [5:200]

//Base Diameter
b=40; // [5:200]

//Vase Height
h=80; // [5:200]

//How many layers should there be?
layers=100; // [5:800]

//How many degrees should each layer rotate?
r=1; // Best with small numbers

//How many squares should be in each layer?
points = 1; // [1:20]

//Make a double spiral?
d="No"; // [Yes, No]

//Force Hollow?
hollow="Vase"; // [No, Vase, Bracelet]

angle = 90/points;
layersq=layers*layers/4;
b2=b-4;
m2=m-4;
t2=t-4;

for (i=[0:layers]) {
	if (hollow=="No") {
		for (j=[1:points]) {
			translate([0,0,i/layers*h]) rotate([0,0,r*i+angle*j]) cube([b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h/layers*1.1],center=true);
			if (d=="Yes") {
				translate([0,0,i/layers*h]) rotate([0,0,-(r*i+angle*j)]) cube([b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h/layers*1.1],center=true);
			}
		}
	} if (hollow=="Bracelet") {
		difference() {
		union() {
			for (j=[1:points]) {
				translate([0,0,i/layers*h]) rotate([0,0,r*i+angle*j]) cube([b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h/layers*1.1],center=true);
				if (d=="Yes") {
					translate([0,0,i/layers*h]) rotate([0,0,-(r*i+angle*j)]) cube([b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h/layers*1.1],center=true);
				}
			}
		}
			for (j=[1:points]) {
				translate([0,0,i/layers*h]) rotate([0,0,r*i+angle*j]) cube([b2+i/layers*(t2-b2)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b2+t2)/2-m2),b2+i/layers*(t2-b2)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b2+t2)/2-m2),h/layers*1.3],center=true);
				if (d=="Yes") {
					translate([0,0,i/layers*h]) rotate([0,0,-(r*i+angle*j)]) cube([b2+i/layers*(t2-b2)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b2+t2)/2-m2),b2+i/layers*(t2-b2)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b2+t2)/2-m2),h/layers*1.3],center=true);
				}
			}
		}
	} if (hollow=="Vase") {
		difference() {
		union() {
			for (j=[1:points]) {
				translate([0,0,i/layers*h]) rotate([0,0,r*i+angle*j]) cube([b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h/layers*1.1],center=true);
				if (d=="Yes") {
					translate([0,0,i/layers*h]) rotate([0,0,-(r*i+angle*j)]) cube([b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h/layers*1.1],center=true);}
			}
		} if (i/layers*h > 2) {
				for (j=[1:points]) {
					translate([0,0,i/layers*h]) rotate([0,0,r*i+angle*j]) cube([b2+i/layers*(t2-b2)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b2+t2)/2-m2),b2+i/layers*(t2-b2)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b2+t2)/2-m2),h/layers*1.2],center=true);
					if (d=="Yes") {
						translate([0,0,i/layers*h]) rotate([0,0,-(r*i+angle*j)]) cube([b2+i/layers*(t2-b2)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b2+t2)/2-m2),b2+i/layers*(t2-b2)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b2+t2)/2-m2),h/layers*1.2],center=true);
					}
				}
			}
		}
	}
}
```


[User]
Okay, I've been playing around with OpenSCAD and I'm trying to create a kind of customizable, spiraling vase/container design, but I'd really like something more robust that uses a library to manage all the math.

I want to start with a design that lets me define the top, middle, and base diameters, as well as the overall height. I also need to specify how many layers (or "slices") the object is constructed from, and how much each layer rotates relative to the previous one. Ideally, I want the option to create either a single spiral or a double spiral.

I'm thinking the cross-section of the vase is a cylinder and the radius changes between layers, but smoothly interpolates between the base radius, the middle radius, and the top radius. Think of a curve connecting the base, a "bulge" in the middle, then back to the top.

Here's the breakdown of parameters I'd like to control:

*   **Top Diameter:** The diameter of the top opening (in mm).
*   **Middle Diameter:** The widest diameter of the object (in mm). This will create the bulge.
*   **Base Diameter:** The diameter of the base (in mm).
*   **Vase Height:** The overall height of the object (in mm).
*   **Layers:** The number of layers the object is made up of. More layers, the smoother the object will be.
*   **Rotation Per Layer:** How many degrees each layer rotates relative to the previous. A small value will create a tighter spiral.
*   **Double Spiral:** A toggle (yes/no) for whether a second spiral is generated that spirals the other direction.
*   **Surface Smoothness:** A parameter that effects `$fa`, and can affect how smooth the rendered object will be.
*   **Hollow Option:** A toggle with options of "No", "Vase", and "Bracelet". This should allow making the generated object hollow by subtracting inner cylinders. If set to "Vase", it should hollow from layer `floor`, as defined in the example I previously worked on, upwards; and if "Bracelet", the whole model should be hollow.

Ideally I’d like to use a library like BOSL2 to handle the linear algebra and any advanced geometry, and I'd really like for the code to be clean and easy to follow. Please use BOSL2 for vector math and any other operations that may be useful.

Can you write an OpenSCAD file based on these parameters?

[Assistant]
V2_Ver2.scad:
```
//Top Diameter in mm
t2=60;  // [5:200]
t=t2/2;

//Middle Diameter
m2=80; // [5:200]
m=m2/2;

//Base Diameter
b2=50; // [5:200]
b=b2/2;

//Vase Height
h=70; // [5:200]

//How many layers should there be?
layers=100; // [5:800]

//How many degrees should each layer rotate?
r=.5; // Best with small numbers

//Make a double spiral?
d="Yes"; // [Yes, No]

//Size of surface features in degrees
smoothness=30; // [1:90]

//Force hollow?
fh="No"; // [No, Vase, Bracelet]

/*[Hidden]*/
angle = 90;
layersq=layers*layers/4;
$fa=smoothness;
floor=2/(h/layers);

for (i=[0:layers]) {
	if (fh=="No") {
		translate([0,0,i/layers*h]) rotate([0,0,r*i+angle]) cylinder(r=b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h=h/layers*1.1,center=true);
		if (d=="Yes") {
		translate([0,0,i/layers*h]) rotate([0,0,-(r*i+angle)]) cylinder(r=b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h=h/layers*1.1,center=true);
		}
	}
	if (fh=="Bracelet") {
		difference() {
			union() {
				translate([0,0,i/layers*h]) rotate([0,0,r*i+angle]) cylinder(r=b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h=h/layers*1.1,center=true);
				if (d=="Yes") {
				translate([0,0,i/layers*h]) rotate([0,0,-(r*i+angle)]) cylinder(r=b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h=h/layers*1.1,center=true);
				}
			}
			translate([0,0,i/layers*h]) rotate([0,0,r*i+angle]) cylinder(r=b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m)-2,h=h/layers*1.2,center=true);
			if (d=="Yes") {
			translate([0,0,i/layers*h]) rotate([0,0,-(r*i+angle)]) cylinder(r=b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m)-2,h=h/layers*1.2,center=true);
			}
		}
	}
	if (fh=="Vase") {
		difference() {
			union() {
				translate([0,0,i/layers*h]) rotate([0,0,r*i+angle]) cylinder(r=b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h=h/layers*1.1,center=true);
				if (d=="Yes") {
				translate([0,0,i/layers*h]) rotate([0,0,-(r*i+angle)]) cylinder(r=b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h=h/layers*1.1,center=true);
				}
			}
			if (i>floor) {
				translate([0,0,i/layers*h]) rotate([0,0,r*i+angle]) cylinder(r=b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m)-2,h=h/layers*1.2,center=true);
				if (d=="Yes") {
				translate([0,0,i/layers*h]) rotate([0,0,-(r*i+angle)]) cylinder(r=b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m)-2,h=h/layers*1.2,center=true);
				}
			}
		}
	}

}
```


[User]
Okay, I've been playing around with this really cool OpenSCAD design (attached: V3.scad) that lets you create these twisted, stacked shapes with rounded square outlines. It's almost like a spiral staircase made of curved squares, and I want to explore it further but with more flexibility.

Essentially, the script creates a vase-like shape by stacking layers of slightly warped, rounded squares. Each layer is rotated a bit more than the last, and there are parameters to control the diameters at the top, middle, and base, the overall height, and how many of these layers are stacked. There's also a parameter for the number of squares in each layer (currently, it's often set to 1) and the radius of the rounded corners on the squares. It has an option to make it a "double spiral", which just adds another set of stacked squares that rotate in the opposite direction.

What I'd really like is a new version of this design that adds some more parametric control and cleans up the code to be a bit more robust. Here's what I'm thinking:

1.  **Independent Top/Middle/Bottom Radii:** Instead of diameters, let's use *radii* for the top, middle, and base. This is a small thing, but it would make it a bit more intuitive for me.
2.  **Control Over the Curve:** Instead of using a somewhat complicated polynomial based on the layers to shape the sides of the vase, I'd like the ability to control the *curve profile* more directly. I think maybe having a parameter to control the *bulge* in the middle of the vase would be better.  For example, a "bulge factor" that ranges from 0 (straight taper) to 1 (most bulged), might work well.
3.  **More Control Over Layers:** Instead of just setting the total number of layers, could we instead control the *layer thickness* directly, or even have an option to specify a "target" layer thickness and the script calculates how many layers are required to reach the overall vase height? This would be nice if I were trying to create something with a specific layer appearance.
4.  **Different Corner Rounding Options:** Currently it uses a `minkowski` with a cylinder. I want the ability to choose from different ways of rounding the corners, not just a cylinder. I think it would be awesome if I could switch between a cylinder, a sphere, or a chamfer and control the "rounding radius" or "chamfer size". I'm thinking this would involve using the *hull* operation.
5.  **Single vs. Double Spiral Control**: The double spiral code is conditionally executed using `if (d=="Yes")`. I'd like to use a simple bool for this - something like `doubleSpiral = true` or `doubleSpiral = false`.

I'm not sure how best to manage the multiple corner rounding options. I'm a novice with OpenSCAD and don't know how to use libraries well, but if there are OpenSCAD libraries out there that could help with the corner rounding or shape interpolation, I'm all for using them. I'm not sure which would be best, maybe BOSL or BOSL2? I just want the code to be easier to read and maintain.

To recap, I'm looking for:
* A vase-like shape
* Stacked layers, rotated relative to the last
* Control over the *radii* of the top, middle and base
* Control over the *bulge* of the shape
* Control over layer thickness
* Multiple options for the way the corners are rounded (cylinder, sphere, chamfer)
* A simple boolean to control the double spiral option.

Thank you so much for your time!

[Assistant]
V3.scad:
```
//Top Diameter in mm
t=45;  // [5:200]

//Middle Diameter
m=55; // [5:200]

//Base Diameter
b=30; // [5:200]

//Vase Height
h=80; // [5:200]

//How many layers should there be?
layers=90; // [5:200]

//How many degrees should each layer rotate?
r=1; // Best with small numbers

//Radius of curved edge
ps=10; //[0:10]

//How many squares should be in each layer?
points = 1; // [1:20]

//Make a double spiral?
d="Yes"; // [Yes, No]

angle = 90/points;
layersq=layers*layers/4;

for (i=[0:layers]) {
	for (j=[1:points]) {
		translate([0,0,i/layers*h]) rotate([0,0,r*i+angle*j])
		minkowski (){
			cube([b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h/layers*1.01],center=true);
			cylinder(r=ps,h=1,$fs=0.5);
		}
		if (d=="Yes") {
			translate([0,0,i/layers*h]) rotate([0,0,-(r*i+angle*j)])
			minkowski (){
				cube([b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),b+i/layers*(t-b)+((i-layers/2)*(i-layers/2)-layersq)/layersq*((b+t)/2-m),h/layers*1.01],center=true);
				cylinder(r=ps,h=1,$fs=0.5);
			}
		}
	}
}
```


[User]
Okay, I'm looking to create a custom-fit watchband, and I really like the concept of the CLASP design I saw online (linked above, though I don't expect you to follow links!). It does away with the traditional buckle and holes, and instead relies on a more integrated fit and a simple clasp.

Essentially, I want an OpenSCAD design that's parametric enough to fit various wrist sizes and watch lug widths. I'm thinking of the following key features and parameters:

**Key Features:**

*   **Clasp Mechanism:** The band should have a clasp system that securely connects two halves, potentially using a small, overlapping section or a hook-like design. I'm open to different clasp designs, but I want it to be easy to print and reliable.
*   **Integrated Lug Attachment:** The ends of the band should have integrated lugs that attach to the watch face using standard watch pins. This is important.
*   **Smooth, Comfortable Fit:** The band should be curved or shaped in such a way that it sits comfortably on the wrist. I don't want it to be just a flat rectangle.
*   **Parametric Sizing:** I want to be able to adjust the band length and width, as well as the lug width, via variables.

**Parameters:**

*   **`strap_width`**:  The width of the band where it attaches to the watch, which should match my watch's lug width. For example, I might use 20mm, 22mm, 24mm etc.
*   **`wrist_circumference`**:  The circumference of my wrist, to determine the overall band length.
*   **`band_thickness`**:  The overall thickness of the band.
*   **`lug_pin_radius`**: The radius of the pin used to attach the band to the watch.
*   **`clasp_overlap`**: A parameter that controls how much the clasp pieces overlap when closed.
*  **`clasp_gap`**: A parameter to specify the gap between the two halves of the band when the clasp is open.

**Specifically, I want to be able to do the following:**

1.  Adjust the `strap_width` to match different watches, from say 18mm up to 26mm.
2.  Adjust `wrist_circumference` so that the band fits snugly around my wrist with an additional 2cm of clasp overlap. I'd also like a variable to adjust the `clasp_overlap`.
3.  Control the overall `band_thickness` to be between 2 and 4mm.
4. The `lug_pin_radius` should be variable to handle different pin sizes, but I expect 1.0-1.5 mm to cover most needs.

I am open to you using any relevant libraries, but specifically, I am familiar with `MCAD` and wouldn't mind seeing that used if relevant. I'm looking for a relatively simple design that can be easily modified and iterated on. I'd prefer a design that allows for a slight gap between the band ends when open, as this might help with making it easy to put on.

Can you help me design this parametric OpenSCAD file?

[Assistant]
watch.scad:
```
//watchband by isaac budmen @ibudmen

// Width of strap?
strap_width = 22; // [8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,26]
// Length of strap?
strap_length = 24; // [22,24,26,28,30,32,34,36,38,40,42]

//Other variables
pin_radius = 1.2; // Actual pin size divided by 2

//WHERE THE MAGIC HAPPENS
union(){
	pins();
	band();
};

module pins(){
	difference(){
	translate([-4.4,-strap_length,-(strap_width/2)+1])cylinder(strap_width-2,pin_radius+1,pin_radius+1,$fn = 50);
	translate([-4.4,-strap_length,-(strap_width/2)])cylinder(strap_width+3,pin_radius,pin_radius,$fn = 50);
	};

	difference(){
	translate([4.4,strap_length,-(strap_width/2)+1])cylinder(strap_width-2,pin_radius+1,pin_radius+1,$fn = 50);
	translate([4.4,strap_length,-(strap_width/2)])cylinder(strap_width+3,pin_radius,pin_radius,$fn = 50);
};
};

module pin_holes(){
translate([0,strap_length,-(strap_width/2)])cylinder(strap_width+3,pin_radius,pin_radius,$fn = 50);
translate([0,strap_length,(-strap_width/2)])cylinder(strap_width+3,pin_radius,pin_radius,$fn = 50);
};

module inside(){
cylinder(strap_width-2,strap_length+1.25,strap_length+1.25,center=true, $fn=150);
};

module outband(){
hull(){inside();
cube(size = [2,2,18],center=true);} // Add platform shape to watch band for watch head
};

module band(){
difference(){
outband();
scale([0.97,0.97,1.1])outband();
cube(size = [12,strap_length*3,24],center=true);
translate([4.4,-strap_length,0])cylinder(strap_width+3,2*(pin_radius),2*(pin_radius),center=true,$fn = 50); // //outside latch - clearing interfering watch band bit for pin
};

difference(){
translate([4.4,-strap_length-.5,0])cylinder(strap_width-2,1.5*(pin_radius+1),1.5*(pin_radius+1),center=true,$fn = 50); //outside latch - body
translate([4.4,-strap_length-.5,0])cylinder(strap_width+3,1.5*(pin_radius),1.75*(pin_radius),center=true,$fn = 50); // //outside latch - clearing cylinder for pin
translate([2.4,-strap_length-1,0])rotate([0,0,12])cube([6,2,30],center=true);
 // clearing cube for band
};
translate([-4.4,strap_length,0])cylinder(strap_width-2,1.4*(pin_radius),1.4*(pin_radius),center=true,$fn = 50); // inside latch pin
};
```


[User]
Okay, I'm looking to create a parametric cable clamp in OpenSCAD, and I have a pretty good idea of what I want. I need a circular clamp with two handles extending out from it, kind of like a clothes peg but circular. The clamp needs to be able to be customized with parameters for:

*   **clamp_dia**: The inner diameter of the circular part of the clamp. This is the size of the cable or object that it's meant to hold.
*   **clamp_height**: The height or thickness of the clamp.
*   **clamp_wall**: The thickness of the circular clamp wall.
*   **handle_angle**: The angle of the handles, relative to the center of the clamp. So 0 degrees would be straight out and 90 would be more perpendicular.
*   **handle_wall**: The thickness of the handles.
*  **handle_length_factor**: A factor that multiplies the clamp diameter to determine the length of the handles.  So, a value of 1 would make the handles roughly the diameter of the clamp
*   **text**: The text to be displayed on the handles. This needs to be customizable.
*   **text_thickness**: The depth of the text on the handles (how far it protrudes).
*   **text_height**: The height of the text.

The handles should be mirrored and symmetrical, one on each side of the main clamp. And importantly, the text on each handle should be oriented so that it reads correctly when viewed from the outside. The text should also be centered on the face of the handle.

I am using the `write/Write.scad` library for the text functionality, so please make sure that's included.

Could you please generate the OpenSCAD code for me?

[Assistant]
cable_clamp_parametric.scad:
```
use <write/Write.scad>;

// text
// text on handles
text = "TV";

// text_thickness
// text depth in mm
text_thickness = 0.5;

// text_height
// text_height in mm
text_height = 7;

// clamp_dia
// inner diamaeter of the clamp
clamp_dia = 20;

// clamp_height
// height of the clamp
clamp_height = 10;

// clamp_wall
// wall thickness
clamp_wall = 2;

// handle_angle
// angle of the handles
handle_angle=25;

// handle_wall
// handle wall thickness
handle_wall=2;

// handle_length_factor
// length of the handle (clamp_dia x handle_length_factor)
handle_length_factor = 1;

clamp_rad = clamp_dia/2;

module clamp_ring() {
  $fn = clamp_dia * 2;
  difference() {
     cylinder(h=clamp_height, r=clamp_rad + clamp_wall, center=true);
     cylinder(h=clamp_height+1, r=clamp_rad, center=true);
     translate([0,-(clamp_rad+clamp_wall/2),0]) {
      cube([clamp_wall,clamp_wall+1,clamp_height+1],true);
     }
  }
}

module clamp_handle () {
  difference() {
    union() {
      rotate([0,0,handle_angle/2]) {
        translate([clamp_rad+clamp_wall-(handle_wall/2),clamp_rad*handle_length_factor,0 ]) {
          cube([handle_wall,clamp_dia*handle_length_factor,clamp_height], true);
          rotate([90,0,0]) rotate([0,90,0]) translate([0,0,handle_wall/2+text_thickness/2-0.1]) write(text, t=text_thickness, h=text_height, center=true);
        }

      }
      rotate([0,0,-handle_angle/2]) {
        translate([-(clamp_rad+clamp_wall-(handle_wall/2)),clamp_rad*handle_length_factor,0 ]) {
          cube([handle_wall,clamp_dia*handle_length_factor,clamp_height], true);
          rotate([90,0,180]) rotate([0,90,0]) translate([0,0,handle_wall/2+text_thickness/2-0.1]) write(text, t=text_thickness, h=text_height, center=true);
        }
      }
    }
    cylinder(h=clamp_height+1, r=clamp_rad, center=true);
  }
}

module build() {
  union() {
    clamp_ring();
    clamp_handle();
  }
}

build();
```


[User]
Okay, I need a parametric OpenSCAD design for a fan holder that attaches to the X-axis bars of my 3D printer. I've already made one, but it's not very robust and I want it to be more easily customizable.

Here are the key parameters I need to be able to adjust:

*   **`X_Bar_Distance`**: The distance between the two X-axis bars.
*   **`X_Bar_Diameter`**: The diameter of the X-axis bars.
*   **`Fan_Screw_Distance`**: The distance between the screw holes on the fan.
*   **`Fan_Screw_Diameter`**: The diameter of the screws used to mount the fan.
*   **`Overall_Thickness`**: The overall thickness of the holder. This should affect the Z-axis dimension as well as the X/Y plane.
*   **`Resolution`**: The resolution of the holder, which will determine the smoothness of curves. This will correspond to `$fn`.

Here's a breakdown of the design I'm looking for:

1.  **Clamps for X-axis bars**: The holder should have two cylindrical clamps that securely grip the X-axis bars. They should have a snug fit, meaning they should be slightly smaller than the X_Bar_Diameter to achieve a clamping force when assembled. I was using (X_Bar_Diameter)/2+Overall_Thickness and that wasn't snug enough and now I'm thinking they should actually be (X_Bar_Diameter)/2 - a bit. The clamps need to be positioned so they are centered on the bars.
2.  **Connecting Body**: The clamps should be connected by a solid, relatively flat body. This body provides the overall thickness of the bracket.
3.  **Fan Mount**: The fan should attach to this connecting body. The fan mounting holes should be positioned the specified `Fan_Screw_Distance` apart. The screw holes should be cylindrical and slightly larger than `Fan_Screw_Diameter`, maybe `Fan_Screw_Diameter`/2 + `Overall_Thickness`
4.  **Hole Clearances**: I need to add a small clearance around the screw holes for both the X-axis clamps and fan mounts. I was doing -1 on the Z axis and adding 2 on the size to achive this, but i think this should be a configurable clearance like `Hole_Clearance` and it should be used in all cases.
5.  **Hull Connectors**: I'd like the fan mounts to be integrated into the connecting body smoothly using the hull function. I was using hull in my old file, but it seemed to take a lot of guesswork to get the shape right.
6.  **Adjustability**: Everything should be parametrically adjustable based on the variables listed above.

I'd also appreciate it if the design was robust; not prone to breaking easily. I'm open to suggestions for how to accomplish that. The design I was using has been really brittle, and I think the angles where the screw holes connect to the clamps are where the cracks are starting.

Could you generate the OpenSCAD code for this? I am not requesting any specific libraries, but if you have to use one please say so.

[Assistant]
X_Axis_Fan_Holder.scad:
```
//Distance Between the X Axis Bars
X_Bar_Distance=50;

//The Diameter of the X Axis Bars
X_Bar_Diameter=9;

//The Distance Between the Screw Holes on the Fan
Fan_Screw_Distance=82.55;

//The Diameter of the Screw to Hold the Fan in Place
Fan_Screw_Diameter=4;

//The Thickness of the Holder. This affects the thickness on the Z axis as well as on the X/Y Axis
Overall_Thickness=3;

//The Resolution of the Holder
Resolution=48;

//Ignore this variable
$fn=Resolution;

fan_holder();

module fan_holder(){
difference(){
	union(){

		translate([X_Bar_Distance/2,0,0])
			cylinder(Overall_Thickness, (X_Bar_Diameter)/2+Overall_Thickness,(X_Bar_Diameter)/2+Overall_Thickness);

		translate([X_Bar_Distance/-2,0,0])
			cylinder(Overall_Thickness, (X_Bar_Diameter)/2+Overall_Thickness,(X_Bar_Diameter)/2+Overall_Thickness);

		translate([0,(X_Bar_Diameter+Overall_Thickness)/-2,Overall_Thickness/2])
		cube([X_Bar_Distance,Overall_Thickness, Overall_Thickness],center = true);

	}
		hull(){

		translate([X_Bar_Distance/2,0,-1])
			cylinder(Overall_Thickness+2, (X_Bar_Diameter)/2,(X_Bar_Diameter)/2);

		translate([X_Bar_Distance/2,X_Bar_Diameter*3,-1])
			cylinder(Overall_Thickness+2, (X_Bar_Diameter)/2,(X_Bar_Diameter)/2);

	}

	hull(){
		translate([X_Bar_Distance/-2,0,-1])
			cylinder(Overall_Thickness+2, (X_Bar_Diameter)/2,(X_Bar_Diameter)/2);

		translate([X_Bar_Distance/-2,X_Bar_Diameter*3,-1])
			cylinder(Overall_Thickness+2, (X_Bar_Diameter)/2,(X_Bar_Diameter)/2);

	}

}
difference(){
union(){

hull(){
translate([0,(X_Bar_Diameter)/-2,0])
cylinder(Overall_Thickness,(Overall_Thickness)/2,(Overall_Thickness)/2);

translate([X_Bar_Distance/6,(X_Bar_Diameter+Overall_Thickness+2),0])
cylinder(Overall_Thickness,(Overall_Thickness)/2,(Overall_Thickness)/2);
}

hull(){
translate([0,(X_Bar_Diameter)/-2,0])
cylinder(Overall_Thickness,(Overall_Thickness)/2,(Overall_Thickness)/2);

translate([X_Bar_Distance/-6,(X_Bar_Diameter+Overall_Thickness+2),0])
cylinder(Overall_Thickness,(Overall_Thickness)/2,(Overall_Thickness)/2);
}

hull(){
translate([X_Bar_Distance/-6,(X_Bar_Diameter+Overall_Thickness+2),0])
cylinder(Overall_Thickness,(Overall_Thickness)/2,(Overall_Thickness)/2);

translate([Fan_Screw_Distance/-2,(X_Bar_Diameter+Overall_Thickness)*1.5,0])
cylinder(Overall_Thickness,(Overall_Thickness)/2,(Overall_Thickness)/2);
}

hull(){
translate([X_Bar_Distance/6,(X_Bar_Diameter+Overall_Thickness+2),0])
cylinder(Overall_Thickness,(Overall_Thickness)/2,(Overall_Thickness)/2);

translate([Fan_Screw_Distance/2,(X_Bar_Diameter+Overall_Thickness)*1.5,0])
cylinder(Overall_Thickness,(Overall_Thickness)/2,(Overall_Thickness)/2);
}

translate([Fan_Screw_Distance/2,(X_Bar_Diameter+Overall_Thickness)*1.5,0])
cylinder(Overall_Thickness,(Fan_Screw_Diameter)/2+Overall_Thickness,(Fan_Screw_Diameter)/2+Overall_Thickness);

translate([Fan_Screw_Distance/-2,(X_Bar_Diameter+Overall_Thickness)*1.5,0])
cylinder(Overall_Thickness,(Fan_Screw_Diameter)/2+Overall_Thickness,(Fan_Screw_Diameter)/2+Overall_Thickness);

}

translate([Fan_Screw_Distance/2,(X_Bar_Diameter+Overall_Thickness)*1.5,-1])
cylinder(Overall_Thickness+2,(Fan_Screw_Diameter)/2,(Fan_Screw_Diameter)/2);

translate([Fan_Screw_Distance/-2,(X_Bar_Diameter+Overall_Thickness)*1.5,-1])
cylinder(Overall_Thickness+2,(Fan_Screw_Diameter)/2,(Fan_Screw_Diameter)/2);

}
}

```


[User]
Okay, I'm looking to design some custom soft jaws for my bench vise, and I'd like to be able to adjust the design using parameters. I've got some measurements from my vise and some ideas about how I want the jaws to function. I'd really appreciate some help creating an OpenSCAD file for this.

Here's what I need:

**Basic Dimensions (These are from my vise):**

*   `vise_jaw_width`: The width of my vise's jaw. Mine is 125mm.
*   `vise_jaw_height`: The height of my vise's jaw. Mine is 21mm.
*   `vise_jaw_depth`: The depth of my vise's jaw. Mine is 12mm.
*   `overlap`: The distance the vise jaw extends past the vise body. Mine is 1.26mm.

**Design Parameters (These are what I'd like to customize):**

*   `soft_jaw_face_thickness`: The desired thickness of the face of the soft jaw. I think around 6mm is good, but I want to be able to adjust it.
*   `soft_jaw_wall_thickness`: The desired thickness of the walls of the soft jaw. I'm thinking 3mm.
*   `cutout_guide_radius`: The radius of the circular cutouts on the face of the soft jaw. This is for holding round stock. I'm starting with 3mm, but I may want to go bigger for larger stock.
*   `cutout_angles`: A list of angles for the orientation of the circular cutouts. This allows for holding at different orientations. For example, `[45, 90]` would cut a groove at 45 and 90 degrees.
*   `fudge_factor`: A small value to add some slop in the dimensions to account for printer inaccuracies, maybe 0.5mm.

**Design Requirements:**

*   The soft jaws should fit snugly onto my vise jaws, with a lip that grabs onto the back of the jaw and is held in place by the pressure when clamping down on something in the vise.
*   The thickness of the face of the soft jaw will be the larger of `soft_jaw_face_thickness` and `cutout_guide_radius + 1.5`.
*   The circular cutouts for holding round stock need to be positioned along the face of the soft jaws, evenly spaced.
*   I need to be able to control the angle at which the cutouts are oriented by changing the values in `cutout_angles`.

**Additional Notes:**

*   I'd like the code to be well-commented, so I can easily understand what each part is doing and make changes later.
*   I don't need any libraries at this time, just pure OpenSCAD code.
*   It would be great if the code included a basic preview, so I can see what the jaws will look like before I print them.

Could you generate the OpenSCAD code for this?

[Assistant]
SoftJawsSlide.scad:
```
// measured from the vise
vise_jaw_width = 125;

// measured from the vise
vise_jaw_height = 21;

// measured from the vise
vise_jaw_depth = 12;

// is the measured distance the vise jaw extends past the vise body
overlap = 1.26;

// desired value. The printed thickness of the face will be the greater of soft_jaw_face_thickness and cutout_guide_radius + 1.5
soft_jaw_face_thickness = 6;

// desired value
soft_jaw_wall_thickness = 3;

// controls how deep the guides are cut into the face of the soft jaws. 3mm is good for holding small round stock. If you want to hold stock bigger than about 3/8", increase the guide radius.
cutout_guide_radius = 3;

// controls the angles at which the guides are cut into the face of the soft jaws. You might print one face with a guide at [0] and the other face with guides at [45,90].
cutout_angles = [45,90];

// inserts some slop at certain dimensions to allow for printer spooge
fudge_factor = 0.5;

gOff = vise_jaw_width/len(cutout_angles);
jDepth = max(soft_jaw_face_thickness,
  (len(cutout_angles) > 0 ?  cutout_guide_radius : 0) +
  1.5
);
rotate([90,0,0])
translate([0,vise_jaw_height/2 + soft_jaw_wall_thickness,0])
difference() {
  translate([
    soft_jaw_wall_thickness + fudge_factor,
    -vise_jaw_height/2-soft_jaw_wall_thickness-fudge_factor,
    0])
    difference() {
      cube([
        vise_jaw_width + fudge_factor*2 + soft_jaw_wall_thickness*2,
        vise_jaw_height + fudge_factor*2 + soft_jaw_wall_thickness,
        jDepth + vise_jaw_depth + fudge_factor + soft_jaw_wall_thickness]);
      translate([soft_jaw_wall_thickness, soft_jaw_wall_thickness, jDepth])
        cube([vise_jaw_width + fudge_factor*2, vise_jaw_height + fudge_factor*2 + 0.1, vise_jaw_depth + fudge_factor]);
      translate([soft_jaw_wall_thickness + overlap, soft_jaw_wall_thickness+overlap+fudge_factor, jDepth + vise_jaw_depth + fudge_factor-1])
        cube([vise_jaw_width + fudge_factor*2 - overlap*2, vise_jaw_height + fudge_factor*2 - overlap, soft_jaw_wall_thickness+2]);
    }
    for (i = [len(cutout_angles)-1:0])
      translate([gOff*(i+0.5),0])
        rotate([0,90,cutout_angles[i]])
          cylinder(r=cutout_guide_radius, h=2*vise_jaw_width, center=true, $fn=4);
}
```


[User]
Okay, I'm looking to create a custom collar stay generator using OpenSCAD, and I'd like it to be as flexible as possible. I have a good starting point with this existing design, but I need help making it more robust and easier to tweak.

Here's what I'm thinking:

**Core Requirements:**

*   **Collar Stay Shape:** The base shape should be a long, thin rectangle with a rounded "butt" end and a slightly pointed "tip" end. The existing design uses a `hull()` with cylinders, and that's a good start. I need to be able to adjust the overall length, the height/width, the thickness, the tip length, and the butt radius individually.
*   **Customization:** I want to embed either text or an image on each collar stay. I should be able to switch between text and image options.
*   **Text Options:**
    *   I need to be able to specify the text to be displayed.
    *   The text font should be selectable and should use the `write()` library included in the existing code, which already supports basic, futuristic, and fancy font options.
    *   Text size (x and y) and height (both positive for raised relief and negative for inset) need to be adjustable.
*   **Image Options:**
    *   I need to be able to specify an image file (specifically a `.dat` format, as used in the example).
    *   The size of the image on the collar stay needs to be adjustable on both x and y axes.
    *   The height/depth of the image (emboss or deboss) needs to be adjustable.
*   **Array/Multiple Stays:**
    *   The tool should generate multiple stays, arranged in rows, as in the existing code.
    *   I need to specify how many pairs of stays I want.
    *   The spacing between the stays on both x and y axes should be adjustable.
    *   I also need an option to mirror some of the stays so that half are pointing in one direction and the other half point in the opposite direction.

*   **Build Plate:** I need a way to select a preset build plate size or enter custom plate dimensions, which uses the `build_plate` module from the included utils library.
*   **Clear Preview:** I'd like a simple way to preview the individual stay with the text/image changes and also preview the full array of stays.
*   **Advanced Parameters:** It would be helpful if all numeric input parameters could be given a meaningful name, using the same type of descriptive names in the existing code, to make the design more readable and customizable.

**Libraries:**

The design uses custom `.scad` files: `utils/build_plate.scad` and `write/Write.scad`, so please ensure these are included, as is done in the original example.

Essentially, I want to take the provided code and make it more organized, flexible, and user-friendly by exposing all the key parameters and making it easier to understand how each part is created. I'm expecting an OpenSCAD file that I can copy and run.

[Assistant]
collar_stay.scad:
```
/* variable description */
/* [General] */
// Choose to use Text or Images, then go to the Text or Image Options tab to further customize.
text_or_image = "Text"; //[Text,Image]
collar_stay_length = 50;
collar_stay_height = 10;
collar_stay_thickness = 1.8;
collar_stay_tip_length = 10; //[5:30]
pairs_of_stays = 5;
build_plate_selector = 2; //[0:Replicator 2,1: Replicator,2:Thingomatic]

/* [Text Options] */
font = "write/letters.dxf"; //["write/Letters.dxf":Basic,"write/orbitron.dxf":Futuristic,"write/BlackRose.dxf":Fancy]
text = "GEEK";
text_x_size = 7; //[1:20]
text_y_size = 6; //[1:10]
// Height of Text in mm (Use positive values for raised relief, use negative values for inset. To create complete cutouts of letters, set this value greater than the negative of the collar stay thickness)
text_height = -0.5;

/* [Image Options] */
// Load a 150x40px image. (Images will be automatically stretched to fit, don't worry too much about image size, the scaling options below will let you fine tune) Simple, high contrast images like logos work best.
image_file = "image-surface.dat"; // [image_surface:150x40]
image_x_size = 50; // [1:100]
image_y_size = 50; // [1:100]
// Height of Image in mm (Use positive numbers for raised relief, use negative numbers for inset)
image_height = .5;

/* [Advanced Options] */
//If mirrored, then half of the collar stays will point the other direction. If not mirrored, then all collar stays are identical.
mirror_stays = 1; //[0:No Mirror,1:Mirror]
// Positive values to increase spacing, negative values to decrease spacing.
gap_x = 2;
// Positive values to increase spacing, negative values to decrease spacing.
gap_y = 2;

/* [hidden] */
collar_stay_butt = collar_stay_height / 2;
collar_stay_body = collar_stay_length - collar_stay_butt - collar_stay_tip_length;

preview_tab = "General";
// preview[view:east, tilt:top]

use <utils/build_plate.scad>
use <write/Write.scad>

if (preview_tab == "General" || preview_tab == "Advanced options")
{
	build_plate(build_plate_selector,build_plate_manual_x,build_plate_manual_y);

	rotate([0,0,90])
	{
		translate([-1*collar_stay_length + collar_stay_tip_length/2 + collar_stay_butt/2, -.5*(collar_stay_height+gap_y)*(pairs_of_stays) - (collar_stay_height+gap_y)*1.125,0])
		{
			for(y = [0:1])
			{
				translate([(2*collar_stay_length - collar_stay_tip_length - collar_stay_butt + gap_x - 2)*y,((collar_stay_height + gap_y)*(pairs_of_stays+2) + collar_stay_height*.5 - gap_y/2)*y, 0])
				{
					rotate(a=[0,0,180*y])
					{
						for(z = [1:pairs_of_stays])
						{
							translate( [0 , ((collar_stay_height+gap_y)*z), 0])
							{
								draw_edited_stay(y*mirror_stays);
							}
						}
					}
				}
			}
		}
	}
}

else if (preview_tab == "Text options" || preview_tab == "Image options")
{
	rotate([0,0,90])
	{
		draw_edited_stay();
	}
}

module draw_edited_stay(y)
{
	if (text_or_image == "Image")
	{
		if (image_height >= 0)
		{
			union()
			{
				draw_stay();
				draw_image(y);
			}
		}
		else
		{
			difference()
			{
				draw_stay();
				draw_image(y);
			}
		}
	}
	else if (text_or_image == "Text")
	{
		if (text_height >= 0)
		{
			union()
			{
				draw_stay();
				draw_text(y);
			}
		}
		else
		{
			difference()
			{
				draw_stay();
				draw_text(y);
			}
		}
	}
}

module draw_stay()
{
	hull()
	{
		translate([collar_stay_length-collar_stay_tip_length-collar_stay_butt, collar_stay_height/2 , 0])
			cylinder (h=collar_stay_thickness, r=collar_stay_height/2, $fn=100);							// butt part
		translate(v=[0,collar_stay_height/2,0])
			cylinder(h=collar_stay_thickness, r=(collar_stay_height/2), $fn=100);							// angle part
		translate(v=[collar_stay_length-collar_stay_butt-1,(collar_stay_height/2),0])
			cylinder(h=collar_stay_thickness, r=1, $fn=40);											// tip part
	}
}

module draw_text(y)
{
	translate([(collar_stay_length-collar_stay_tip_length-collar_stay_butt)/2,collar_stay_height/2,collar_stay_thickness+(text_height/2) - text_height/100])
		rotate([0,0,180*y])
		scale([(text_x_size/10),(text_y_size/11),1])
			write(text, t=text_height, h=collar_stay_height, center=true, font=font);
}

module draw_image(y)
{
	translate([(collar_stay_length-collar_stay_tip_length-collar_stay_butt)/2,collar_stay_height/2,collar_stay_thickness+(image_height/2) - (image_height/2) - image_height/100])
		rotate([0,0,180*y])
		scale([((collar_stay_body)/150)*(image_x_size/50),(collar_stay_height/40)*(image_y_size/50),image_height])
			difference ()
			{
				surface(file=image_file, center=true, convexity=5);
					translate ([-100,-100,-2]) cube([200, 200, 2]);
			}
}
```


[User]
Okay, I've got a basic dice tower design here, but I'd like to make it more customizable and easier to adjust. I've got a basic `.scad` file that uses a series of ramps and a funnel, but I want to make it more configurable. I'm thinking I'd like to be able to tweak things like the number of levels, the size of the dice tray, and maybe even the overall footprint.

Here’s what I’m envisioning:

**Core Structure:**

*   The tower should be built from repeating ramp modules. Right now, I'm using a fixed number, but I'd love to be able to set the `number_of_levels`. Each ramp module should have a `ramp_width`, `wall_thickness`, and `ramp_slope` parameter.
*   The final ramp that the dice exit on should have its own independent `exit_ramp_slope` parameter.
*   The ramps should be connected with corner pieces.
*   The output ramp angle should be separately customizable from the main ramp slopes using `exit_slope`.
*   There should be a funnel at the top, parameterized by an `overhang_amount`. This determines the size of the funnel.

**Customization Goals:**

*   **Number of Levels:** I want to be able to specify how many ramp levels are in the tower using an integer `number_of_levels`. Right now, it's fixed at 4.
*   **Dice Tray:** I need a dice tray at the bottom. Right now I'm adding it with a very simple rectangular base, but I'd like it to also be parametrically generated. I'd like to control the `tray_width`, `tray_depth`, and `tray_wall_height` parameters. The tray should also have some corner rounding controlled with a `tray_corner_radius`. The tray should sit on the base.
*   **Overall Footprint:**  The core of the tower should have a `total_width` that's based on the `ramp_width` and `wall_thickness`. I’d like to control the total width of the tower through these individual values, not directly. The overall height of the tower will be determined by the `number_of_levels` and `level_height`.
*   **Clearance:**  I want to ensure there's enough space between ramp levels and the side walls of the structure. This might require adding a clearance parameter or automatically calculating clearances based on `wall_thickness` or a combination of `wall_thickness` and `ramp_width`.
*   **Ramp Trimming:** I'm currently trimming the lower edge of each ramp so it fits into the one below.  This calculation needs to remain a function of `wall_thickness` and `ramp_slope`.

**Specific Requests for the Assistant:**

1.  **Parametric OpenSCAD File:** Please provide a fully parametric `.scad` file that includes the parameters and features described above.
2.  **Parameter Control:** Use variables for all dimensions such as `ramp_width`, `wall_thickness`, `ramp_slope`, `exit_ramp_slope`, `overhang_amount`, `number_of_levels`, `tray_width`, `tray_depth`, `tray_wall_height`, `tray_corner_radius`, etc., so that they can be easily modified in the customizer.
3.  **Modular Design:** The code should be modular, separating ramp creation, the funnel, and the dice tray into reusable modules.
4.  **Clear Code:** The code should be well-commented and easy to read.
5.  **Library Dependencies:** Please make sure to use a standard library such as BOSL2 to make the code more robust and flexible where appropriate.

My current `.scad` code is provided above. I'm looking forward to seeing how you can make it much more customizable. Thanks!

[Assistant]
custom_dice_tower_v1.scad:
```
root_2 = sqrt(2);

// the slope of the ramps
slope = 40;	//[15:75]

// the slope of the final ramp
exit_slope = 27;    // [15:75]

// the width of the ramp walls
wall = 2; // [1:5]

// the distance between the outer edge of walls of the ramp
ramp_width = 30; //[10:70]

// the overhang amount on the top funnel
overhang=7;	// [0:10]

// the total width of the entire structure
// wall/2 + ramp_width + ramp_width + wall/2
total_width = wall + ramp_width*2;

// height of each level
level_height = (ramp_width-wall)*tan(slope);

// trim the lower edge of each ramp to fit into the one below
trim=(wall/sin(slope) - wall)*tan(slope);

//echo("level height : ", level_height);
//echo("4 levels high: ", level_height*4);

module ramp(corner=true, angle=slope, cut_top=true){
	translate([-wall/2,-wall/2,0])
		union(){
			intersection() {
				translate([0,0,ramp_width*tan(angle) - wall/cos(angle)])
					rotate([0,angle,0])
					 translate([-ramp_width*2,0,0])
						difference(){
							cube([ramp_width*5,ramp_width,ramp_width]);
							translate([-ramp_width,wall,wall]) cube([ramp_width*6,ramp_width-wall*2, ramp_width]);
						}
				if(cut_top==true){
					translate([0,0,-trim]) cube([ramp_width,ramp_width,(ramp_width-wall)*tan(angle)+trim]);
				} else {
					translate([0,0,-trim]) cube([ramp_width,ramp_width,ramp_width*tan(exit_slope)+level_height]);
					// add
				}
			}
			if (corner== true){
				translate([0,0,level_height])
				 difference(){
					cube([ramp_width,ramp_width,level_height]);
					translate([wall,-wall,-ramp_width])	cube([ramp_width,ramp_width,ramp_width*2]);
				}
			}
		}
}

module exit_ramp(){
	ramp(false,exit_slope, false);
//	translate([-wall/2,-wall/2,0]) cube([ramp_width,wall,level_height]);
//	translate([-wall/2,ramp_width-wall*3/2,0]) cube([ramp_width,wall,level_height]);
}

module funnel() {
	difference() {
		translate([0,0,overhang*tan(slope)])
		difference(){
			pyramid();
			translate([0,0,wall*tan(slope)]) pyramid();
		}
		translate([0,0,-ramp_width]) cube(center=true, [ramp_width*2 - wall,ramp_width*2 -wall,ramp_width*2]);
	}
}

module pyramid(){
	assign(total_overhang = ramp_width-wall/2+overhang){
	polyhedron(
		points = [ 	[total_overhang,total_overhang,0],
					[total_overhang,-total_overhang,0],
					[-total_overhang,-total_overhang,0],
					[-total_overhang,total_overhang,0],
					[0,0,-total_overhang*tan(slope)]],
		triangles = [	[0,1,4],
						[1,2,4],
						[2,3,4],
						[3,0,4],
						[0,3,2],
						[0,2,1]],
		convexity=10);
	}
}

module tower(){
	union(){
		ramp();
		translate([ramp_width-wall,wall-ramp_width,(ramp_width-wall)*tan(slope)])
			rotate(90)
				ramp();
		translate([(ramp_width-wall)*2,0,(ramp_width-wall)*tan(slope)*2])
			rotate(180)
				ramp();

		translate([(ramp_width-wall),ramp_width-wall,(ramp_width-wall)*tan(slope)*3])
			rotate(270)
				ramp(false);
	}
}

translate([0,0,wall + (ramp_width-wall)*tan(exit_slope)])
union(){
	tower();
	translate([(ramp_width-wall)*2,0,0]) rotate([0,0,180]) tower();
	translate([ramp_width-wall,0,level_height*4]) funnel();
}
// exit ramps
translate([ramp_width-wall,0,wall]) exit_ramp();
translate([ramp_width-wall,0,wall]) rotate([0,0,180]) exit_ramp();

// base:
translate([-wall/2,-ramp_width+wall/2,0]) cube([ramp_width*2 - wall,ramp_width*2 -wall,wall]);

// bounding box:

```