[User]
Hey, I'm looking to get an OpenSCAD design for a parametric pegboard holder system. I've been playing around with an existing design that's pretty close, but I'd like to be able to customize it more easily and maybe expand on its functionality.

Specifically, I need the ability to define the following parameters:

*   **Holder Dimensions:**
    *   `holder_x_size`: The width of the opening for the item in the holder.
    *   `holder_x_size_space`: The spacing between multiple openings along the X axis.
    *   `holder_y_size`: The depth of the opening for the item in the holder.
    *   `holder_y_size_space`: The spacing between multiple openings along the Y axis.
    *   `holder_height`: The overall height of the holder.
*   **Construction:**
    *   `wall_thickness`: The thickness of the holder walls.
    *   `holder_x_count`:  How many openings to repeat across the X axis.
    *   `holder_y_count`:  How many openings to repeat across the Y axis.
    *   `corner_radius`: The radius for rounding the corners of the openings. This should be less than half the size of either x or y size.
    *   `taper_ratio`: A ratio to make the bottom of the holder narrower. This should be a value between 0 and 1.
*   **Pegboard Integration:**
    *   `holder_offset`: An offset distance from the pegboard, used if objects held need clearance.
    *   `strength_factor`: A value between 0 and 1 to determine how much of the base is reinforced to the pegboard.
*   **Advanced Features:**
    *   `closed_bottom`: A value between 0 and 1 determining how much to close the bottom. Set this to 1 for a bin-like holder.
    *   `holder_cutout_side`: A value between 0 and 1 determining how much to cut a side opening to allow side insertion.
    *   `holder_angle`: An angle to rotate the holder, so the object is slanted forward or backward.

*   **Pegboard Parameters:**
	*   `hole_spacing`: The distance between peg holes on the pegboard.
	*	`hole_size`: The diameter of a peg hole.
	*	`board_thickness`: The thickness of the pegboard itself.
*  **Rendering:**
	* `holder_sides`: number of sides used to approximate curves when rendering.  Should be clamped to a value between 20 and the x_size * 2.

I'd like the code to generate the holder itself, the pegboard pins and clips to attach the holder, and to be able to cut a hole of the holder to insert another part. The pegboard clips should align with the pegboard, using `hole_spacing` as the basis of the grid.  They should also have a clip-like portion to retain them into the pegboard and be generated only at the bottom of the holder.

The design should also have the ability to generate a negative object to cut the holder from other solid object, for example, to make a recessed area.  It should do that by passing a negative variable to the main `holder` module.

I think that covers it. Let me know if you have any questions and what libraries should I include. Thanks!

[Assistant]
PegBoard_Updated.scad:
```
// PEGSTR - Pegboard Wizard
// Design by Marius Gheorghescu, November 2014
// Update log:
// November 9th 2014
//		- first coomplete version. Angled holders are often odd/incorrect.
// November 15th 2014
//		- minor tweaks to increase rendering speed. added logo.
// November 28th 2014
//		- bug fixes
// June 14th 2016
//		- added holder_x_size_space and  holder_y_size_space
//		- handling different hole_size

// preview[view:north, tilt:bottom diagonal]

// width of the orifice
holder_x_size = 5;

// x space between orifice
holder_x_size_space =2;

// depth of the orifice
holder_y_size = 5;

// y space between orifice
holder_y_size_space = 2;

// hight of the holder
holder_height = 11;

// how thick are the walls. Hint: 6*extrusion width produces the best results.
wall_thickness = 1.85;

// how many times to repeat the holder on X axis
holder_x_count = 2;

// how many times to repeat the holder on Y axis
holder_y_count = 2;

// orifice corner radius (roundness). Needs to be less than min(x,y)/2.
corner_radius = 2.5;

// Use values less than 1.0 to make the bottom of the holder narrow
taper_ratio = 1;

/* [Advanced] */

// offset from the peg board, typically 0 unless you have an object that needs clearance
holder_offset = 5;

// what ratio of the holders bottom is reinforced to the plate [0.0-1.0]
strength_factor = 0.66;

// for bins: what ratio of wall thickness to use for closing the bottom
closed_bottom = 0.0;

// what percentage cu cut in the front (example to slip in a cable or make the tool snap from the side)
holder_cutout_side = 0.0;

// set an angle for the holder to prevent object from sliding or to view it better from the top
holder_angle = 0;

// hole spacing
hole_spacing = 25.4;
// hole size
hole_size = 6.0035;
// board thickness
board_thickness = 5;

/* [Hidden] */

// what is the $fn parameter
holder_sides = max(50, min(20, holder_x_size*2));

holder_total_x = wall_thickness + holder_x_count*(wall_thickness+holder_x_size)+(holder_x_count-1)*holder_x_size_space;
holder_total_y = wall_thickness + holder_y_count*(wall_thickness+holder_y_size)+(holder_y_count-1)*holder_y_size_space;
holder_total_z = round(holder_height/hole_spacing)*hole_spacing;
holder_roundness = min(corner_radius, holder_x_size/2, holder_y_size/2);

// what is the $fn parameter for holders
fn = 32;

epsilon = 0.1;

clip_height = 2*hole_size + 2;
$fn = fn;

module round_rect_ex(x1, y1, x2, y2, z, r1, r2)
{
	$fn=holder_sides;
	brim = z/10;

	//rotate([0,0,(holder_sides==6)?30:((holder_sides==4)?45:0)])
	hull() {
        translate([-x1/2 + r1, y1/2 - r1, z/2-brim/2])
            cylinder(r=r1, h=brim,center=true);
        translate([x1/2 - r1, y1/2 - r1, z/2-brim/2])
            cylinder(r=r1, h=brim,center=true);
        translate([-x1/2 + r1, -y1/2 + r1, z/2-brim/2])
            cylinder(r=r1, h=brim,center=true);
        translate([x1/2 - r1, -y1/2 + r1, z/2-brim/2])
            cylinder(r=r1, h=brim,center=true);

        translate([-x2/2 + r2, y2/2 - r2, -z/2+brim/2])
            cylinder(r=r2, h=brim,center=true);
        translate([x2/2 - r2, y2/2 - r2, -z/2+brim/2])
            cylinder(r=r2, h=brim,center=true);
        translate([-x2/2 + r2, -y2/2 + r2, -z/2+brim/2])
            cylinder(r=r2, h=brim,center=true);
        translate([x2/2 - r2, -y2/2 + r2, -z/2+brim/2])
            cylinder(r=r2, h=brim,center=true);

    }
}

module pin(clip)
{
	rotate([0,0,15])
	cylinder(r=hole_size/2, h=board_thickness*1.5+epsilon, center=true, $fn=12);

	if (clip) {
		//
		rotate([0,0,90])
		intersection() {
			translate([0, 0, hole_size-epsilon])
				cube([hole_size+2*epsilon, clip_height, 2*hole_size], center=true);

			// [-hole_size/2 - 1.95,0, board_thickness/2]
			translate([0, hole_size/2 + 2, board_thickness/2])
				rotate([0, 90, 0])
				rotate_extrude(convexity = 5, $fn=20)
				translate([0.44*hole_size+2.36, 0, 0])
				 circle(r = (hole_size*0.95)/2);

			translate([0, hole_size/2 + 2 - 1.6, board_thickness/2])
				rotate([45,0,0])
				translate([0, -0, hole_size*0.6])
					cube([hole_size+2*epsilon, 3*hole_size, hole_size], center=true);
		}
	}
}

module pinboard_clips()
{
	rotate([0,90,0])
	for(i=[0:round(holder_total_x/hole_spacing)]) {
		for(j=[0:max(strength_factor, round(holder_height/hole_spacing))]) {

			translate([
				j*hole_spacing,
				-hole_spacing*(round(holder_total_x/hole_spacing)/2) + i*hole_spacing,
				0])
					pin(j==0);
		}
	}
}

module pinboard(clips)
{
	rotate([0,90,0])
	translate([-epsilon, 0, -wall_thickness - board_thickness/2 + epsilon])
	hull() {
		translate([-clip_height/2 + hole_size/2,
			-hole_spacing*(round(holder_total_x/hole_spacing)/2),0])
			cylinder(r=hole_size/2, h=wall_thickness);

		translate([-clip_height/2 + hole_size/2,
			hole_spacing*(round(holder_total_x/hole_spacing)/2),0])
			cylinder(r=hole_size/2,  h=wall_thickness);

		translate([max(strength_factor, round(holder_height/hole_spacing))*hole_spacing,
			-hole_spacing*(round(holder_total_x/hole_spacing)/2),0])
			cylinder(r=hole_size/2, h=wall_thickness);

		translate([max(strength_factor, round(holder_height/hole_spacing))*hole_spacing,
			hole_spacing*(round(holder_total_x/hole_spacing)/2),0])
			cylinder(r=hole_size/2,  h=wall_thickness);

	}
}

module holder(negative)
{
	for(x=[1:holder_x_count]){
		for(y=[1:holder_y_count])
/*		render(convexity=2)*/ {
			translate([
				-holder_total_y /*- (holder_y_size+wall_thickness)/2*/ + y*(holder_y_size+wall_thickness+holder_y_size_space) + wall_thickness,

				-holder_total_x/2 + (holder_x_size+wall_thickness)/2 + (x-1)*(holder_x_size+wall_thickness+holder_x_size_space) + wall_thickness/2,
				 0])
	{
		rotate([0, holder_angle, 0])
		translate([
			-wall_thickness*abs(sin(holder_angle))-0*abs((holder_y_size/2)*sin(holder_angle))-holder_offset-holder_y_size_space-(holder_y_size + 2*wall_thickness)/2 - board_thickness/2,
			0,
			-(holder_height/2)*sin(holder_angle) - holder_height/2 + clip_height/2
		])
		difference() {
			if (!negative)
                // external piece
				round_rect_ex(
					(holder_y_size + 2*wall_thickness),
					holder_x_size + 2*wall_thickness,
					(holder_y_size + 2*wall_thickness)*taper_ratio,
					(holder_x_size + 2*wall_thickness)*taper_ratio,
					holder_height,
					holder_roundness + epsilon,
					holder_roundness*taper_ratio + epsilon);

				translate([0,0,closed_bottom*wall_thickness])

				if (negative>1) {
					round_rect_ex(
						holder_y_size*taper_ratio,
						holder_x_size*taper_ratio,
						holder_y_size*taper_ratio,
						holder_x_size*taper_ratio,
						3*max(holder_height, hole_spacing),
						holder_roundness*taper_ratio + epsilon,
						holder_roundness*taper_ratio + epsilon);
				} else {
                    //internal holes
					round_rect_ex(
						holder_y_size,
						holder_x_size,
						holder_y_size*taper_ratio,
						holder_x_size*taper_ratio,
						holder_height+2*epsilon,
						holder_roundness + epsilon,
						holder_roundness*taper_ratio + epsilon);
				}

			if (!negative)
				if (holder_cutout_side > 0) {

				if (negative>1) {
					hull() {
						scale([1.0, holder_cutout_side, 1.0])
		 					round_rect_ex(
							holder_y_size*taper_ratio,
							holder_x_size*taper_ratio,
							holder_y_size*taper_ratio,
							holder_x_size*taper_ratio,
							3*max(holder_height, hole_spacing),
							holder_roundness*taper_ratio + epsilon,
							holder_roundness*taper_ratio + epsilon);

						translate([0-(holder_y_size + 2*wall_thickness), 0,0])
						scale([1.0, holder_cutout_side, 1.0])
		 					round_rect_ex(
							holder_y_size*taper_ratio,
							holder_x_size*taper_ratio,
							holder_y_size*taper_ratio,
							holder_x_size*taper_ratio,
							3*max(holder_height, hole_spacing),
							holder_roundness*taper_ratio + epsilon,
							holder_roundness*taper_ratio + epsilon);
					}
				} else {
					hull() {
						scale([1.0, holder_cutout_side, 1.0])
		 					round_rect_ex(
							holder_y_size,
							holder_x_size,
							holder_y_size*taper_ratio,
							holder_x_size*taper_ratio,
							holder_height+2*epsilon,
							holder_roundness + epsilon,
							holder_roundness*taper_ratio + epsilon);

						translate([0-(holder_y_size + 2*wall_thickness), 0,0])
						scale([1.0, holder_cutout_side, 1.0])
		 					round_rect_ex(
							holder_y_size,
							holder_x_size,
							holder_y_size*taper_ratio,
							holder_x_size*taper_ratio,
							holder_height+2*epsilon,
							holder_roundness + epsilon,
							holder_roundness*taper_ratio + epsilon);
						}
					}

				}
			}
		} // positioning
	} // for y
	} // for X
}

module pegstr()
{
	difference() {
		union() {

			pinboard();

			difference() {
				hull() {
					pinboard();

					intersection() {
						translate([-holder_offset - (strength_factor-0.5)*holder_total_y - wall_thickness/4,0,0])
						cube([
							holder_total_y + 2*wall_thickness,
							holder_total_x + wall_thickness,
							2*holder_height
						], center=true);

						holder(0);

					}
				}

				if (closed_bottom*wall_thickness < epsilon) {
						holder(2);
				}

			}

			color([0.7,0,0])
			difference() {
				holder(0);
				holder(2);
			}

			color([1,0,0])
				pinboard_clips();
		}

		holder(1);
	}
}

pegstr();

```


[User]
I need an OpenSCAD design for an adapter that lets me use a smaller blowgun tip to inflate an Intex air ring. Basically, the Intex rings have a fairly large hole, and I need something to fit inside that hole, but also has a smaller, tapered opening for the blowgun nozzle.

The main part of the adapter should be a cylinder that fits into the Intex valve. Let's call that the "airplug_diameter" and give it a default of 18.5mm, with a height of "airplug_height", which defaults to 10mm. I'd like the final object to have nice curves, so make the cylinder use a $fn of "airplug_quality", defaulted to 96. To make sure it's a good fit, I want a bit of a lip on the top that will give it some stability inside the valve. To create this lip, you'll need to intersect that cylinder with a sphere, kind of like you're cutting off the top of a sphere, and center it so that the intersection happens near the top of the cylinder. The sphere radius should be "airplug_diameter", but the whole sphere should be raised vertically by "airplug_diameter" * 1.2 to make the intersection lip.

Now, for the hole for the blowgun. This should be a cone that goes most of the way through the cylinder; it should extend to just below the bottom of the cylinder. It needs to taper from a "blowgun_cone_smaller" diameter at the top to a "blowgun_cone_larger" diameter at the bottom. Let's start with 7mm for the smaller end and 14mm for the larger end. The height of the cone should be a little taller than the main cylinder, so we can make sure we carve all the way through, so let's say the cylinder height + 1. Finally, all of this should be a difference operation: take the cylinder with the lip and subtract the cone.

I would like these to be easily customizable. I'm expecting to be able to tweak the airplug diameter, height, and quality, plus the two blowgun cone diameters. Can you create a parametric OpenSCAD file for me? I'm hoping that I can set the parameters at the top of the file.

[Assistant]
Intex_Airplug_Adapter.scad:
```
airplug_diameter=18.5;
airplug_height=10;
airplug_quality=96;
blowgun_cone_smaller=7;
blowgun_cone_larger=14;

module airplug_solid() {
cylinder(r=airplug_diameter/2,h=airplug_height,$fn=airplug_quality);
intersection() {
cylinder(r=airplug_diameter/2+3,h=airplug_height,$fn=airplug_quality);
translate([0,0,airplug_diameter*1.2])
sphere(r=airplug_diameter,$fn=airplug_quality);
}
}

difference(){
airplug_solid();
translate([0,0,-0.5])
cylinder(h=airplug_height+1,r1=blowgun_cone_smaller/2,r2=blowgun_cone_larger/2,$fn=airplug_quality);
}
```


[User]
Hey, I'm looking to get a 3D model designed, and I'd really appreciate your help.

It's a replacement part for a BMW – it's a support pad that goes in the luggage tray to hold the spare tire. There are a couple of different versions of the part, so I'd like to make it parametric so I can easily adjust dimensions for either. It's essentially a circular pad with a cylindrical support that's threaded internally to go on a threaded rod.

Here's what I need:

*   **Overall Shape:** It should be a profile that can be rotated around the Z axis to create the solid, so it's like a '2D' shape being spun around.
*   **Pad Diameter:** I'd like a variable for the diameter of the main circular pad. The original is 65mm, but I also use 80mm for a bit more support.
*   **Pad Height:** There are two original heights for the part, 28mm and 19.5mm.
*   **Threaded Support:** The cylindrical piece extending up from the pad has a few dimensions to consider.
    *   Diameter where the cylinder meets the pad. The original dimension is 14mm, but 16mm and 18mm might be useful.
    *   Diameter of the end of the cylinder (where it would meet the wingnut on the rod). Stock is 12mm, but 14mm or 16mm might be preferable.
    *   The total length of this threaded support. Original length is 14mm, but I'd want to be able to make that a little longer if needed.
*   **Pad Thickness:** The thickness of the circular pad part - originally this is 4mm, but again, it would be nice to make that configurable to 6mm or 8mm.
*  **Threaded Rod Diameter:** I need a variable for the diameter of the threaded rod that will go in the middle, which is 7.64mm.

So basically, I need an OpenSCAD file with these parameters that will make it easy to adjust everything and re-render. I want the part to be made by rotating the cross-section of the shape around the Z axis. Can you get that going for me? Thanks!

[Assistant]
BMW_Luggage_Tray_Spare_Tire_Support_Pad.scad:
```
// model: BMW Luggage Tray Spare Tire Support Pad (BMW Part No. 51471930956 (28mm), 51471960706	(19.5mm)
// author: fiveangle@gmail.com
// date: 2015jun10
// ver: 1.0.0
// notes: default parameters create BMW Part No. 51471930956 (28mm), customizer options for BMW Part No. 51471960706 (19.5mm)
// history:
//     -1.0.0 - Released
//

// adjust to increase/decrease polygon count at expense of processing time
$fn = 200;

// Pad Diameter (stock is 65mm but 80mm adds additional support)
padDiameter=65; // [65:Stock (65mm), 80:Improved (80mm)]

// Pad Height (stock is either 28mm: 51471930956 or 18.5mm: 51471960706)
padHeight=28; // [28:Part No. 51471930956 (28mm), 19.5:Part No. 51471960706 (19.5mm)]

// Threaded support diameter
threadedSupportDiameter=14; // [14:Stock (14mm), 16:Improved (16mm), 18:Hulk Smash (18mm)]

// Threaded support end diameter
threadedSupportEndDiamter=12; // [12:Stock Wingnut (12mm), 14:Improved (14mm) - may interfere with wingnut, 16:Regular Nut (16mm) - likely won't fit with wingnut]

// Threaded Support Length (can make longer than stock 14mm, depending on threaded rod length above tightened wingnut)
threadedSupportLength=14; //  [14:28]

// Pad Thickness
padThickness=4; // [4:Stock (4mm), 6:Improved (6mm), 8:Hulk Smash (8mm)]

// Threaded Rod Diameter
threadedRodDiameter=7.64;

rotate_extrude() {
    polygon(
        points=[
            [0,0],
            [(padDiameter/2),0],
            [(padDiameter/2),padThickness],
            [(threadedSupportDiameter/2),padHeight-padThickness],
            [(threadedSupportEndDiamter/2),threadedSupportLength+padHeight-padThickness],
            [(threadedRodDiameter/2),threadedSupportLength+padHeight-padThickness],
            [(threadedRodDiameter/2),padHeight-padThickness],
            [0,padHeight-padThickness],
        ]
    );
}

```


[User]
I'm looking to design an adapter to connect a standard blowgun to an Intex Easy Set pool air valve. I've got some measurements already, but I'd like a fully parametric design in OpenSCAD so I can tweak it if needed.

Here's what I'm thinking:

*   **Intex Air Plug Side:** This part needs to have a cylindrical shape that fits into the Intex air valve. I'm measuring this to be about 18.5mm in diameter and 10mm high. There should be a rounded dome on top that blends into this cylinder at 1.2x the diameter height.  I'd also like to be able to set the quality of the circle for this part.
*   **Blowgun Thread Side:** This needs to have threads that mate with the blowgun. The blowgun is roughly 10mm in diameter. I measured the thread pitch to be 2.81/3 mm. I'd like the threaded portion to be about 6mm long and have an additional parameter for the perimeter of the inner hollow part. I also need to be able to set the quality of the circle for the thread.
*   **Overall Design:** The blowgun threads should start at the end of the Intex plug portion.  I need a hollow bore the diameter of the blowgun less twice the perimeter width to allow air to pass through the adapter.  The hollow bore should extend the entire length of both adapter portions, including a small amount into the Intex plug, starting from 0.5mm below the Intex plug's base.
*   **Libraries:** I'll need a thread library that can handle ISO metric threads and custom pitches.  I'd prefer to use a library like BOLTS that already has that built in, but if there's a better one you recommend let me know. I don't think I need to generate any bolts or nuts themselves though, just the threads themselves.

I'd like the design to be completely parametric so that I can change things like the air plug diameter, height, blowgun diameter, thread pitch, length, etc., so if you could set up the main parameters at the top of the file that would be great.  I would also like to be able to control circle quality with a `$fn` variable set before any modules are called.

Could you provide the OpenSCAD files that accomplish this?

[Assistant]
Intex_Airplug_Adapter_Direct_to_Blowgun.scad:
```
// Adapter for using a blowgun to air up the Intex Easy Set pool
// Uses the ISO Metric Thread Implementation by Trevor Moseley
airplug_diameter=18.5;
airplug_height=10;
airplug_quality=96;
blowgun_diameter=10;
blowgun_pitch=2.81/3;
blowgun_length=6;
blowgun_perimeter=1.2;
blowgun_quality=96;
$fn=96;
WrenchSizes=0;	// =0= Rolson sizes, =1=Fairbury sizes

module airplug_solid() {
cylinder(r=airplug_diameter/2,h=airplug_height,$fn=airplug_quality);
intersection() {
cylinder(r=airplug_diameter/2+3,h=airplug_height,$fn=airplug_quality);
translate([0,0,airplug_diameter*1.2])
sphere(r=airplug_diameter,$fn=airplug_quality);
}
}

module blowgun_threads() {
thread_out_centre(blowgun_diameter+1,blowgun_length);
thread_out_pitch(blowgun_diameter,blowgun_length,blowgun_pitch);
}

difference() {
union() {
    airplug_solid();
    translate([0,0,airplug_height])
    blowgun_threads();
}
translate([0,0,-0.5])
cylinder(d=blowgun_diameter-blowgun_perimeter*2,h=blowgun_length+airplug_height+1,$fn=blowgun_quality);
}

//--demo functions--------------------------------------------------------------

//hex_bolt(10,16);						// make an M10 x 16 ISO bolt
//hex_nut(10);							// make an M10 ISO nut
//hex_bolt(8,16);						// make an M8 x 16 ISO bolt
//hex_nut(8);							// make an M8 ISO nut
//hex_bolt(6,12);						// make an M6 x 12 ISO bolt
//hex_nut(6);							// make an M6 ISO nut
//thread_out(8,16);					// make an M8 x 16 ISO thread
//thread_out_centre(8,16);				// make a centre for an M8 x 16 ISO thread
//thread_out_pitch(8,16,1.0);			// make an M8 x 16 thread with 1 mm pitch
//thread_out_centre_pitch(8,16,0.5);	// make the centre for an M8 x 16 thread with 1 mm pitch
//thread_in(8,10);						// make an M8 x 10 ISO thread
//thread_in_ring(8,10,2);				// make a ring to enclose an M8 x 10 ISO thread with thickness 2 mm
//thread_in_pitch(8,10,1.0);			// make an M8 x 10 thread with 1mm pitch

//--pitch-----------------------------------------------------------------------
// function for ISO coarse thread pitch (these are specified by ISO)
function get_coarse_pitch(dia) = lookup(dia, [
[1,0.25],[1.2,0.25],[1.4,0.3],[1.6,0.35],[1.8,0.35],[2,0.4],[2.5,0.45],[3,0.5],[3.5,0.6],[4,0.7],[5,0.8],[6,1],[7,1],[8,1.25],[10,1.5],[12,1.75],[14,2],[16,2],[18,2.5],[20,2.5],[22,2.5],[24,3],[27,3],[30,3.5],[33,3.5],[36,4],[39,4],[42,4.5],[45,4.5],[48,5],[52,5],[56,5.5],[60,5.5],[64,6],[78,5]]);

//--nut dims--------------------------------------------------------------------
// these are NOT specified by ISO
// support is provided for Rolson or Fairbury sizes, see WrenchSizes above

// function for Rolson hex nut diameter from thread size
function rolson_hex_nut_dia(dia) = lookup(dia, [
[3,6.4],[4,8.1],[5,9.2],[6,11.5],[8,16.0],[10,19.6],[12,22.1],[16,27.7],[20,34.6],[24,41.6],[30,53.1],[36,63.5]]);
// function for Rolson hex nut height from thread size
function rolson_hex_nut_hi(dia) = lookup(dia, [
[3,2.4],[4,3.2],[5,4],[6,3],[8,5],[10,5],[12,10],[16,13],[20,16],[24,19],[30,24],[36,29]]);

// function for Fairbury hex nut diameter from thread size
function fairbury_hex_nut_dia(dia) = lookup(dia, [
[3,6.0],[4,7.7],[5,8.8],[6,11.0],[8,14.4],[10,17.8],[12,20.0],[16,26.8],[20,33.0],[24,40.0],[30,50.9],[36,60.8]]);
// function for Fairbury hex nut height from thread size
function fairbury_hex_nut_hi(dia) = lookup(dia, [
[3,2.2],[4,3.0],[5,4.5],[6,5.0],[8,6.5],[10,8.1],[12,10.4],[16,14.2],[20,17],[24,20.3],[30,24.4],[36,29.5]]);

//--bolt dims-------------------------------------------------------------------
// these are NOT specified by ISO
// support is provided for Rolson or Fairbury sizes, see WrenchSizes above

// function for Rolson hex bolt head diameter from thread size
function rolson_hex_bolt_dia(dia) = lookup(dia, [
[3,6.4],[4,8.1],[5,9.2],[6,11.5],[8,14.0],[10,16],[12,22.1],[16,27.7],[20,34.6],[24,41.6],[30,53.1],[36,63.5]]);
// function for Rolson hex bolt head height from thread size
function rolson_hex_bolt_hi(dia) = lookup(dia, [
[3,2.4],[4,3.2],[5,4],[6,3.5],[8,4.5],[10,5],[12,10],[16,13],[20,16],[24,19],[30,24],[36,29]]);

// function for Fairbury hex bolt head diameter from thread size
function fairbury_hex_bolt_dia(dia) = lookup(dia, [
[3,6.4],[4,8.1],[5,8.8],[6,11.1],[8,14.4],[10,17.8],[12,20.1],[16,26.8],[20,33.0],[24,39.6],[30,50.9],[36,60.8]]);
// function for Fairbury hex bolt head height from thread size
function fairbury_hex_bolt_hi(dia) = lookup(dia, [
[3,2.4],[4,3.2],[5,3.4],[6,3.9],[8,5.1],[10,6.2],[12,7.3],[16,9.7],[20,12.2],[24,14.6],[30,17.9],[36,21.7]]);

//--top level modules-----------------------------------------------------------

module hex_bolt(dia,hi)
// make an ISO bolt
//  dia=diameter, 6=M6 etc.
//  hi=length of threaded part of bolt
{
	if (WrenchSizes==0)	rolson_hex_bolt(dia,hi);
	else					fairbury_hex_bolt(dia,hi);
}

module hex_nut(dia,hi)
// make an ISO nut
//  dia=diameter, 6=M6 etc.
{
	if (WrenchSizes==0)	rolson_hex_nut(dia);
	else					fairbury_hex_nut(dia);
}

module thread_out(dia,hi,thr=$fn)
// make an outside ISO thread (as used on a bolt)
//  dia=diameter, 6=M6 etc
//  hi=height, 10=make a 10mm long thread
//  thr=thread quality, 10=make a thread with 10 segments per turn
{
	p = get_coarse_pitch(dia);
	thread_out_pitch(dia,hi,p,thr);
}

module thread_in(dia,hi,thr=$fn)
// make an inside thread (as used on a nut)
//  dia = diameter, 6=M6 etc
//  hi = height, 10=make a 10mm long thread
//  thr = thread quality, 10=make a thread with 10 segments per turn
{
	p = get_coarse_pitch(dia);
	thread_in_pitch(dia,hi,p,thr);
}

module thread_out_pitch(dia,hi,p,thr=$fn)
// make an outside thread (as used on a bolt) with supplied pitch
//  dia=diameter, 6=M6 etc
//  hi=height, 10=make a 10mm long thread
//  p=pitch
//  thr=thread quality, 10=make a thread with 10 segments per turn
{
	h=(cos(30)*p)/8;
	Rmin=(dia/2)-(5*h);	// as wiki Dmin
	s=360/thr;				// length of segment in degrees
	t1=(hi-p)/p;			// number of full turns
	r=t1%1.0;				// length remaining (not full turn)
	t=t1-r;					// integer number of full turns
	n=r/(p/thr);			// number of segments for remainder
	// do full turns
	for(tn=[0:t-1])
		translate([0,0,tn*p])	th_out_turn(dia,p,thr);
	// do remainder
	for(sg=[0:n])
		th_out_pt(Rmin+0.1,p,s,sg+(t*thr),thr,h,p/thr);
}

module thread_in_pitch(dia,hi,p,thr=$fn)
// make an inside thread (as used on a nut)
//  dia = diameter, 6=M6 etc
//  hi = height, 10=make a 10mm long thread
//  p=pitch
//  thr = thread quality, 10=make a thread with 10 segments per turn
{
	h=(cos(30)*p)/8;
	Rmin=(dia/2)-(5*h);	// as wiki Dmin
	s=360/thr;				// length of segment in degrees
	t1=(hi-p)/p;			// number of full turns
	r=t1%1.0;				// length remaining (not full turn)
	t=t1-r;					// integer number of turns
	n=r/(p/thr);			// number of segments for remainder
	for(tn=[0:t-1])
		translate([0,0,tn*p])	th_in_turn(dia,p,thr);
	for(sg=[0:n])
		th_in_pt(Rmin+0.1,p,s,sg+(t*thr),thr,h,p/thr);
}

module thread_out_centre(dia,hi)
{
	p = get_coarse_pitch(dia);
	thread_out_centre_pitch(dia,hi,p);
}

module thread_out_centre_pitch(dia,hi,p)
{
	h = (cos(30)*p)/8;
	Rmin = (dia/2) - (5*h);	// as wiki Dmin
	cylinder(r = Rmin, h = hi);
}

module thread_in_ring(dia,hi,thk)
{
	difference()
	{
		cylinder(r = (dia/2)+0.5,h = hi);
		translate([0,0,-1]) cylinder(r = (dia/2)+0.1, h = hi+thk);
	}
}

//--low level modules-----------------------------------------------------------

module rolson_hex_bolt(dia,hi)
// make an ISO bolt with Rolson wrench sizes
//  dia=diameter, 6=M6 etc.
//  hi=length of threaded part of bolt
{
	hhi = rolson_hex_bolt_hi(dia);
	cylinder(r = rolson_hex_bolt_dia(dia)/2,h = hhi, $fn=6);
	translate([0,0,hhi-0.1])	thread_out(dia,hi+0.1);
	translate([0,0,hhi-0.1])	thread_out_centre(dia,hi+0.1);
}

module fairbury_hex_bolt(dia,hi)
// make an ISO bolt with Fairbury wrench sizes
//  dia=diameter, 6=M6 etc.
//  hi=length of threaded part of bolt
{
	hhi = fairbury_hex_bolt_hi(dia);
	cylinder(r = fairbury_hex_bolt_dia(dia)/2,h = hhi, $fn=6);
	translate([0,0,hhi-0.1])	thread_out(dia,hi+0.1);
	translate([0,0,hhi-0.1])	thread_out_centre(dia,hi+0.1);
}

module rolson_hex_nut(dia)
// make an ISO nut with Rolson wrench sizes
//  dia=diameter, 6=M6 etc.
{
	hi = rolson_hex_nut_hi(dia);
	difference()
	{
		cylinder(r = rolson_hex_nut_dia(dia)/2,h = hi, $fn=6);
		translate([0,0,-0.1])	cylinder(r = dia/2, h =hi + 0.2);
	}
	translate([0,0,0.1])	thread_in(dia,hi-0.2);
}

module fairbury_hex_nut(dia)
// make an ISO nut with Fairbury wrench sizes
//  dia=diameter, 6=M6 etc.
{
	hi = fairbury_hex_nut_hi(dia);
	difference()
	{
		cylinder(r = fairbury_hex_nut_dia(dia)/2,h = hi, $fn=6);
		translate([0,0,-0.1])	cylinder(r = dia/2, h =hi + 0.2);
	}
	translate([0,0,0.1])	thread_in(dia,hi-0.2);
}

module th_out_turn(dia,p,thr=$fn)
// make a single turn of an outside thread
//  dia=diameter, 6=M6 etc
//  p=pitch
//  thr=thread quality, 10=make a thread with 10 segments per turn
{
	h = (cos(30)*p)/8;
	Rmin = (dia/2) - (5*h);	// as wiki Dmin
	s = 360/thr;
	for(sg=[0:thr-1])
		th_out_pt(Rmin+0.1,p,s,sg,thr,h,p/thr);
}

module th_out_pt(rt,p,s,sg,thr,h,sh)
// make a part of an outside thread (single segment)
//  rt = radius of thread (nearest centre)
//  p = pitch
//  s = segment length (degrees)
//  sg = segment number
//  thr = segments in circumference
//  h = ISO h of thread / 8
//  sh = segment height (z)
{
	as = (sg % thr) * s;			// angle to start of seg
	ae = as + s  - (s/100);		// angle to end of seg (with overlap)
	z = sh*sg;
	//pp = p/2;
	//   1,4
	//   |\
	//   | \  2,5
 	//   | /
	//   |/
	//   0,3
	//  view from front (x & z) extruded in y by sg
	//
	//echo(str("as=",as,", ae=",ae," z=",z));
	polyhedron(
		points = [
			[cos(as)*rt,sin(as)*rt,z],								// 0
			[cos(as)*rt,sin(as)*rt,z+(3/4*p)],						// 1
			[cos(as)*(rt+(5*h)),sin(as)*(rt+(5*h)),z+(3/8*p)],		// 2
			[cos(ae)*rt,sin(ae)*rt,z+sh],							// 3
			[cos(ae)*rt,sin(ae)*rt,z+(3/4*p)+sh],					// 4
			[cos(ae)*(rt+(5*h)),sin(ae)*(rt+(5*h)),z+sh+(3/8*p)]],	// 5
		faces = [
			[0,1,2],			// near face
			[3,5,4],			// far face
			[0,3,4],[0,4,1],	// left face
			[0,5,3],[0,2,5],	// bottom face
			[1,4,5],[1,5,2]]);	// top face
}

module th_in_turn(dia,p,thr=$fn)
// make an single turn of an inside thread
//  dia = diameter, 6=M6 etc
//  p=pitch
//  thr = thread quality, 10=make a thread with 10 segments per turn
{
	h = (cos(30)*p)/8;
	Rmin = (dia/2) - (5*h);	// as wiki Dmin
	s = 360/thr;
	for(sg=[0:thr-1])
		th_in_pt(Rmin+0.1,p,s,sg,thr,h,p/thr);
}

module th_in_pt(rt,p,s,sg,thr,h,sh)
// make a part of an inside thread (single segment)
//  rt = radius of thread (nearest centre)
//  p = pitch
//  s = segment length (degrees)
//  sg = segment number
//  thr = segments in circumference
//  h = ISO h of thread / 8
//  sh = segment height (z)
{
	as = ((sg % thr) * s - 180);	// angle to start of seg
	ae = as + s -(s/100);		// angle to end of seg (with overlap)
	z = sh*sg;
	pp = p/2;
	//         2,5
	//          /|
	//     1,4 / |
 	//         \ |
	//          \|
	//         0,3
	//  view from front (x & z) extruded in y by sg
	//
	polyhedron(
		points = [
			[cos(as)*(rt+(5*h)),sin(as)*(rt+(5*h)),z],				//0
			[cos(as)*rt,sin(as)*rt,z+(3/8*p)],						//1
			[cos(as)*(rt+(5*h)),sin(as)*(rt+(5*h)),z+(3/4*p)],		//2
			[cos(ae)*(rt+(5*h)),sin(ae)*(rt+(5*h)),z+sh],			//3
			[cos(ae)*rt,sin(ae)*rt,z+(3/8*p)+sh],					//4
			[cos(ae)*(rt+(5*h)),sin(ae)*(rt+(5*h)),z+(3/4*p)+sh]],	//5
		faces = [
			[0,1,2],			// near face
			[3,5,4],			// far face
			[0,3,4],[0,4,1],	// left face
			[0,5,3],[0,2,5],	// bottom face
			[1,4,5],[1,5,2]]);	// top face
}

```


[User]
I'd like to create a parametric model of demon horns, similar to the ones described in the provided file. The key characteristics I'm aiming for are:

*   **Recursive Structure:** The horns should be built using a recursive function, with each segment scaling down from the previous one. This should create a smooth, curling effect.
*   **Twisting/Curling:** The horns should curl in both the x and y directions, using sine and cosine functions for added variation and complexity of the curls. Also have an independent z axis rotation.
*   **Parameterization:**  I need to control the following aspects:
    *   `x_rotation_fudge`: The base amount of rotation in the x-direction per segment.
    *   `x_sin_pow`: The magnitude of the sine wave influencing the x-rotation.
    *   `x_sin_offset`: The offset applied to the sine wave in the x direction.
    *   `y_rotation_fudge`: The base amount of rotation in the y-direction per segment.
    *  `y_cos_pow`: The magnitude of the cosine wave influencing the y-rotation.
    *  `y_cos_offset`: The offset applied to the cosine wave in the y direction.
    *   `z_rotation_fudge`: The amount of rotation around the z-axis per segment.
    *   `point_start`: The segment number where the horn transitions to a more pointed end.
    *   `segment_length`: The length of each horn segment.
    *   `segment_width`: The width of each horn segment.
    *   `big_scale_factor`: The scale factor applied to each segment before the point_start.
    *   `small_scale_factor`: The scale factor applied to each segment *after* point_start, for more pronounced tapering of the tip.
*   **Two Horns:** The model should generate two horns, mirrored across the yz-plane, so that they sit on either side of some imaginary head.
*   **Color:** I would like the horns to change color as you move up them.
*   **Cylinder base:** Each segment should be built from a cylinder that tapers slightly from base to top.
*   **Individual Modules:** The design should be split into modules for reusability.

I'd like this model to be created from scratch. I am not using any external libraries. Can you provide the necessary .scad file or files?

[Assistant]
Demon_Horns.scad:
```
//
//*                         *
//*      Demon Horns        *
//* A parametric, recursive *
//*    OpenSCAD script      *
//*                         *
//
// 6/16/2016
//
//

//on each iteration curl in x direction by this much
x_rotation_fudge = 6;

//add this powerful of a sinewave to the x curling
x_sin_pow = 20;

//offset the sinewave by this much (x)
x_sin_offset = 110;

//on each iteration curl in y direction by this much
y_rotation_fudge = 18;

//add this powerful of a sinewave to the y curling
y_cos_pow = 0;

//offset the sinewave by this much (y)
y_cos_offset = 110;

//on each iteration rotate around the z axis by this much
z_rotation_fudge = 14;

//how many segmments up to start the pointed end
point_start = 13;

//length of each segment
segment_length = 6;

//width of each segment
segment_width = 8;

//how much to scale down each segment from the last
big_scale_factor = 0.9875;

//how much to scale down in the tip of the tail
small_scale_factor = 0.8666;

module hell(height, width, depth)
{
    if (depth > 0)
    {
       union()
        {
            //main cylinder
            color([1-0.025*abs(depth-32),1-0.025*abs(depth-32),1-0.025*abs(depth-32)])
            {
                cylinder(h=height*13,r1=(width*8),r2=(width*7.6), $fn=10);
            }

            if (depth < point_start)
            {
                //sharp point
                satan(height*(small_scale_factor), width*(small_scale_factor), depth-1);
            }
            else
            {
                //recurse normally
                satan(height*(big_scale_factor), width*(big_scale_factor), depth-1);
            }
        }

    }
}

module satan(height, width, depth)
{
    if (depth > 0)
    {
        translate([0,0,height*8])
        {
            rotate([x_rotation_fudge+x_sin_pow*sin(((depth+x_sin_offset)*height)+20),-y_rotation_fudge+y_cos_pow*cos(((depth+y_cos_offset)*height)+20),-z_rotation_fudge])
            {

                hell(height, width, depth);
            }

        }
    }
}

module horns()
{

    translate([-100,0,0])
    {
        rotate([-20,-20,90])
        {
            hell(segment_length, segment_width, 64);
        }
    }
    translate([100,0,0])
    {
        mirror(v=[1,0,0])
        {
            rotate([-20,-20,90])
           {
                hell(segment_length, segment_width, 64);
            }
        }
    }

}

horns();

```


[User]
I'd like to create a customizable set of puzzle pieces that can form both a soccer ball and a chess set, combining the concepts from these two Thingiverse designs: [Soccer puzzle](https://www.thingiverse.com/thing:1534279) and [Chess set? Puzzle? Soccer?](https://www.thingiverse.com/thing:1547895). The key idea is to give each puzzle piece a flat bottom, so they can stand upright like chess pieces and be printed more easily.

Here's what I'm looking for:

*   **Piece Shapes:** The pieces should consist of two main shapes: generalized pentagons and generalized hexagons, derived from the soccer ball puzzle. These pieces should be able to interlock to form a sphere when assembled.
*   **Flat Bottoms & Height:** Unlike the original designs, each piece needs a flat bottom and a greater height, so they look more like traditional chess pieces. The height should be a parameter.
*   **Chess Symbols:** Each piece should have a chess symbol on it (♙♖♘♗♔♕ for white, ♟♜♞♝♚♛ for black, as seen in the second linked design). I'd like the option to disable these symbols and have blank pieces. The font for the symbols needs to be "MS Gothic", which might be a little tricky. The symbols should be oriented correctly on the pieces.
*   **Parametric Design:** The design needs to be highly parametric. I want to be able to adjust:
    *   `height`: The overall height of the chess pieces (and implicitly affects the overall size).
    *   `piece_set`:  Either "black" or "white" to set the color and chess symbols.
    *   `spacing`: A small gap between pieces for tolerances in printing.
    *   `symbol`: A boolean ("YES" or "NO") to enable or disable chess symbols on the pieces.
    *   `radius` of a containing sphere (which will be used to slice the pieces)
    *   `shell_thickness`
*   **File Structure:** It's probably best if the main logic is in one main scad file. This file should define all modules (like `generalized_pentagon`, `generalized_hexagon`, etc.), the `pieces` module to generate the various piece shapes with symbols, and finally the `chess` module that combines everything using parameters to generate all pieces.

Let me know if you need more information. I'm expecting you'll generate the full set of .scad files, including the main file with all of the module definitions and the parameters used to control the design, as described above.

[Assistant]
chess_puzzle_soccerV1.1.scad:
```
height = 30;
piece_set = "black"; // [black, white]
spacing = 0.3;
symbol = "YES"; // [YES, NO]

// create a generalized pentagon by length.
// Parameters:
//     length : the side length
//     spacing : the gap between a pentagon or a hexagon
module generalized_pentagon(length, spacing = 0.5) {
    r = 0.5 * length / sin(36);
	s = (r - spacing / 2) / r;

    color("black")
	    rotate(18)
		     linear_extrude(length * 4, scale = 2.7135)
		        scale([s, s, s])
			        children();
}

// create a generalized hexagon by length.
// Parameters:
//     length : the side length
//     spacing : the gap between a pentagon or a hexagon
module generalized_hexagon(length, spacing = 0.5) {
    r = 0.5 * length / sin(30);
	s = (r - spacing / 2) / r;

    color("white")
	     linear_extrude((length - length * 0.0245) * 4, scale = 2.7135)
		    scale([s, s, s])
		        children();
}

// create a pentagon according the height of the soccer polyhedron
module pentagon_for_soccer_polyhedron(height) {
    line_length = height / 6.65;
    circle(0.5 * line_length / sin(36), $fn = 5);
}

// ==================================================================

// a generalized pentagon and a generalized hexagon for a puzzle.
// Parameters:
//     length : the side length
//     spacing : the gap between the pentagon and hexagon
module generalized_pentagon_based_sub_for_puzzle(length, spacing = 0.5) {
	pentagon_circle_r = 0.5 * length / sin(36);

	generalized_pentagon(length, spacing) children(0);

	a = 37.325;

	offset_y = 0.5 * length * tan(54) + pentagon_circle_r * cos(a);
	offset_z = 0.5 * length * tan(60) * sin(a);

	for(i = [0:4]) {
		rotate(72 * i) translate([0, -offset_y, -offset_z])
			rotate([a, 0, 0])
				generalized_hexagon(length, spacing) children(1);
	}
}

module pentagon_puzzle(radius, shell_thickness, spacing) {
    height = (radius + 2) * 2;
    line_length = height / 6.65;

	intersection() {
		translate([0, 0, line_length * 5.64875  -height / 2])
			generalized_pentagon_based_sub_for_puzzle(line_length, spacing) {
pentagon_for_soccer_polyhedron(height);
hexagon_for_single_soccer_puzzle_circles_only(height, spacing);
}

		sphere(radius * 2, $fn = 48);
	}
}

// create a hexagon according the height of the soccer polyhedron
module hexagon_for_single_soccer_puzzle(height, spacing) {
    line_length = height / 6.65;
    r = 0.5 * line_length / sin(30);

	difference() {
		circle(r, $fn = 6);

		for(i = [0:2]) {
			rotate(90 + i * 120)
				translate([r / 1.325, 0, 0])
					circle(r / 4.5, $fn = 48);
		}
	}
}

// create circles around a hexagon according the height of the soccer polyhedron
module hexagon_for_single_soccer_puzzle_circles_only(height, spacing) {
    line_length = height / 6.65;
    r = 0.5 * line_length / sin(30);
	s = (r - spacing * 4) / r;

	rotate(90)
		translate([r / 1.325, 0, 0])
			scale([s, s, 1])
				circle(r / 4.5, $fn = 48);
}

module hexagon_puzzle(radius, shell_thickness, spacing) {
    height = (radius + 2) * 2;
    line_length = height / 6.65;

	rotate([37.325, 0, 0]) intersection() {
		translate([0, 0, line_length * 5.5836  -height / 2])
			generalized_hexagon(height / 6.65, spacing)
				hexagon_for_single_soccer_puzzle(height, spacing);

		sphere(radius * 2, $fn = 48);
	}
}

// create a pentagon according the height of the soccer polyhedron
module pentagon_for_soccer_puzzle_with_text(height, text) {
	difference() {
		pentagon_for_soccer_polyhedron(height);
		rotate(-18) text(text, font = "MS Gothic", valign = "center", halign = "center", size = height / 7);
	}
}

module pentagon_puzzle_with_text(radius, text, shell_thickness, spacing) {
    height = (radius + 2) * 2;
    line_length = height / 6.65;

	difference() {
		union() {
			intersection() {
				translate([0, 0, line_length * 5.64875  -height / 2])
					generalized_pentagon_based_sub_for_puzzle(line_length, spacing) {
		pentagon_for_soccer_puzzle_with_text(height, text);
		hexagon_for_single_soccer_puzzle_circles_only(height, spacing);
	}

				sphere(radius * 2, $fn = 48);
			}

			pentagon_puzzle(radius - 1, shell_thickness - 1, spacing);
		}
	    linear_extrude(radius * 0.75) square([radius, radius], center = true);
	}
}

// create a hexagon according the height of the soccer polyhedron
module hexagon_for_single_soccer_puzzle_with_text(height, text, spacing) {
	difference() {
		hexagon_for_single_soccer_puzzle(height, spacing);
		translate([0, -height / 45, 0]) rotate(180) text(text, font = "MS Gothic", valign = "center", halign = "center", size = height / 7);
	}
}

module hexagon_puzzle_with_text(radius, text, shell_thickness, spacing) {
    height = (radius + 2) * 2;
    line_length = height / 6.65;

	difference() {
		union() {
			intersection() {
				translate([0, 0, line_length * 5.5836  -height / 2])
					generalized_hexagon(height / 6.65, spacing)
						hexagon_for_single_soccer_puzzle_with_text(height, text, spacing);

				sphere(radius * 2, $fn = 48);
			}

			rotate([-37.325, 0, 0]) hexagon_puzzle(radius - 1, shell_thickness - 1, spacing);
		}
		linear_extrude(radius * 0.75) square([radius, radius], center = true);
	}
}

module pieces(radius, black_or_white, shell_thickness, spacing) {
    offset = 2 * radius;

	ps = symbol == "NO" ? "      " : (black_or_white == "black" ? "♟♜♞♝♚♛" : "♙♖♘♗♔♕");

	for(i = [0:3]) {
	    for(j = [0:1]) {
			translate([offset * i, offset * j, 0])
   			    hexagon_puzzle_with_text(radius, ps[0], shell_thickness, spacing);
		}
	}

	for(i = [0:1]) {
		translate([offset * i, offset * 2, 0])
			hexagon_puzzle_with_text(radius, ps[1], shell_thickness, spacing);
	}

	for(i = [2:3]) {
		translate([offset * i, offset * 2, 0])
		    pentagon_puzzle_with_text(radius, ps[2], shell_thickness, spacing);
	}

	for(i = [0:1]) {
		translate([offset * i, offset * 3, 0])
		    pentagon_puzzle_with_text(radius, ps[3], shell_thickness, spacing);
	}

	translate([offset * 2, offset * 3, 0])
    	pentagon_puzzle_with_text(radius, ps[4], shell_thickness, spacing);

	translate([offset * 3, offset * 3, 0])
    	pentagon_puzzle_with_text(radius, ps[5], shell_thickness, spacing);

}

module chess(height, piece_set, shell_thickness, spacing) {
    radius = height / 1.2;
    translate([0, 0, -radius * 0.75])
	    pieces(radius, piece_set, shell_thickness, spacing);
}

chess(height, piece_set, 0, spacing);

```


[User]
Hey, I'm looking to create a customizable obelisk, and I'd like some help generating the OpenSCAD code. I've got some specific features in mind, mostly based on something I saw before.

First, the obelisk should be a four-sided tapered shape, like a truncated pyramid with a pointy top. The base should be wider than the top, naturally. I need to be able to control the overall height of the obelisk, and also how many "units" high the base is compared to the tip. For example, I might want the base to be 7 units high and the tip 1 unit, or 4 units base and 1 unit tip.

The design needs to incorporate an inscription on each face of the obelisk. The inscription will be a string, so I need to specify the text, and the font. The font size should be scaled automatically to fit within a defined area. I'd like to have some control over the style of inscription. Specifically, I'm thinking of three options:

1.  **Cartouche with Raised Inscription:** In this style, the text is raised from the surface, and is surrounded by a cartouche, which is like a raised border or outline around the text.
2.  **Carved Inscription:** In this style, the text is carved into the obelisk's surface.
3. **Carved Inscription with Cartouche:** In this style, the text is carved into the surface, but it also has a cartouche. The cartouche will be carved into the surface, also. This is like #2 with the border around the letters.

I'd like to be able to adjust the tolerance or spacing between the cartouche (if present) and the edges of the obelisk.

Also, it would be useful if the program output the file name suggestion in the console, that would be based on the text used, the font used, the base units and the style. So, like `Obelisk-mytext-myfont-bu7-s2.stl`

I think that's it. Can you generate the necessary OpenSCAD file(s)? I'm not using any special libraries.

[Assistant]
Obelisk_1.1.scad:
```
//Customizable Obelisk
//Created by Ari M. Diacou, June 2016
//Shared under Creative Commons License: Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)
//see http://creativecommons.org/licenses/by-sa/3.0/

//////////////////////////// Parameters ////////////////////////////
//of your Obelisk
height=100;

//How many "tips" high is the base of the Obelisk
base_units=7;
my_string="ԴռԽենոծիդե";
my_font="DejaVu Sans";
style=3;//[1:Cartoosh with Raised Inscription,2:Carved Inscription,3:Carved Inscription with Cartoosh]

                           /* [Hidden] */
//////////////////////// Derived Parameters ////////////////////////
h=height;
//A way to adjust the distance between the cartoosh and the sides of the obelisk
tolerance=0.4+0;
//Shorthand for the square root of 2
s2=sqrt(2)+0;
//Epsilon, a small number (used for avoiding coplanar errors and artifacts)
ep=0.05+0;
//The height of the base of the obelisk
base_height=h*(base_units/(base_units+1));
//The height of the tip of the obelisk
tip_height=h/(base_units+1);
//The width of the base of the obelisk
base1=tip_height*1.5*s2;
//The width of the tip of the obelisk
base2=tip_height*0.9*s2;
//The radius of the bottom arc of the cartoosh
r1=tolerance*base1/s2;
//The radius of the top arc of the cartoosh
r2=tolerance*base2/s2;
//The distance between the centers of the two arcs of the cartoosh is 2*z
z=base_height/2-(r1+r2)*(1-tolerance);
//The size of the font is chosen so that it will fit in the cartoosh
my_size=min(1.5*z/len(my_string), 2*r1,2*r2);
//The angle that the sides of the obelisk make from vertical
adjustment_angle=atan((base1-base2)/(2*base_units*tip_height*s2));

echo(str("my size =", my_size));
echo(str("Suggested Filename: Obelisk-",my_string,"-",my_font,"-bu",base_units,"s",style));

////////////////////////////// Main() //////////////////////////////
if (style==1){
    difference(){
        stone();
        cartoosh();
        }
    inscription();
    }
else if (style==2){
    difference(){
        stone();
        inscription();
        }
    }
else{
    difference(){
        stone();
        inscription();
        cartoosh2();
        }
    }
//////////////////////////// Functions ////////////////////////////
module stone(){
    //Creates the obelisk blank by creating a 4-sided cone (cylinder). The use of s2 throughout the program is because OpenSCAD makes the vertices, not the sides radius r away from the center.
    rotate([0,0,45]){
        cylinder(d1=base1, d2=base2, h=base_height, $fn=4);
        translate([0,0,base_height]) cylinder(d1=base2, d2=0, h=tip_height, $fn=4);
        }
    }

module cartoosh(d=.1*tip_height){
    //The cartoosh is created by wrapping a hull around two circles. That object is then extruded to height d, rotated to lie flush with the sides of the obelisk, moved up to the sides of the obelisk, and then repeated on all 4 faces.
    //d is the depth of the relief
    for(i=[0:3])
        rotate([0,0,i*90])
            translate([0,-.5*base2+d*s2,z+2*r1*(1-tolerance)])
                rotate([90-adjustment_angle,0,0]){
                    color("red")
                        linear_extrude(height=d)
                            hull(){
                                translate([0,-z]) circle(r=r1);
                                translate([0,+z]) circle(r=r2);
                                }

                    }

    }

module cartoosh2(d=.1*tip_height,t=0.9){
    //The cartoosh is created by wrapping a hull around two circles - then taking the difference with a slightly smaller one. That object is then extruded to height d, rotated to lie flush with the sides of the obelisk, moved up to the sides of the obelisk, and then repeated on all 4 faces.
    //d is the depth of the relief
    //t is the thickness ratio of the cartoosh
    for(i=[0:3])
        rotate([0,0,i*90])
            translate([0,-.5*base2+d*s2,z+2*r1*(1-tolerance)])
                rotate([90-adjustment_angle,0,0]){
                    color("red")
                        linear_extrude(height=d)
                            difference(){
                            hull(){
                                translate([0,-z]) circle(r=r1);
                                translate([0,+z]) circle(r=r2);
                                }
                            hull(){
                                translate([0,-z]) circle(r=t*r1);
                                translate([0,+z]) circle(r=t*r2);
                                }
                            }

                    }

    }

module inscription(d=.1*tip_height){
    //The inscription simply a string of text that is written TopToBottom ("ttb"). That object is then extruded to height d, rotated to lie flush with the sides of the obelisk, moved up to the sides of the obelisk, and then repeated on all 4 faces.
    //d is the depth of the relief
    for(i=[0:3])
        rotate([0,0,i*90])
            translate([0,-.5*base2+d*s2,z+2*r1*(1-tolerance)])
                rotate([90-adjustment_angle,0,0]){
                    color("blue")
                        linear_extrude(height=d+ep)
                            text(my_string,size=my_size,font=my_font, direction="ttb",valign="center");

                    }

    }
```


[User]
Hey, I need some help designing a replacement foot for a laptop. I've got a Toshiba Satellite L770, but the model should be flexible enough to work for other laptops as well.

Basically, it's a small, pill-shaped foot that sticks onto the bottom of the laptop.  It needs to be hollow inside, so it's kind of like a shell.  I need to be able to customize the width, depth, and height of the foot. Also, the wall thickness should be configurable.

I'd like to be able to print multiple feet at once, so I need a variable to set how many to print and also a variable to control the space between them.

For the core shape, a `hull()` of two cylinders should work, as I saw that in the example I was using. Then, to make it hollow, a slightly smaller pill shape with a smaller height, width and depth needs to be subtracted out, kind of like the example I provided.

I think these parameters should be customizable:

*   `howManyToPrint`:  How many feet to print at once.
*   `offsetBetween`: The distance between each foot.
*   `thickness`: The wall and floor thickness of the foot.
*  `footHeight`: The overall height of the foot.
*   `footWidth`: The width of the pill shape.
*   `footDepth`: The depth of the pill shape.

I'd also like to set `$fn` to control smoothness as well.

Could you generate OpenSCAD code for this?

[Assistant]
Toshiba_Satellite_L770_feet.scad:
```
//
//  Toshiba_Satellite_L770_feet.scad
//
//  EvilTeach 6/17/2016
//
//  Replacement feet.
//
//  Use a bit of alcohol and a tooth brush and tooth pick
//  to get the contact cement out of the holes, before
//  using contact cement to glue these back in.
//
//  Uses NinjaFlex filament.
//  15/15 speed
//  layer .2
//  2 shells
//  7% infill
//  No Raft
//  No Support

// Set the smoothness that you want
$fn = 180;

// Values 1 to 5
howManyToPrint = 5; // [1, 2, 3, 4, 5]

// Distance between each print
offsetBetween  = 2.00;

// wall and floor thickness
thickness      = 2.00;

// The height of the print
footHeight =  5.50;

// The width of the print
footWidth  =  7.69;
footRadius = footWidth / 2;

// The depth of the print
footDepth  = 18.51;

module pill_shape(width, depth, height)
{
    hull()
    {
        cylinder(r = width / 2, h = height);
        translate([0, depth - width, 0])
            cylinder(r = width / 2, h = height);
    }
}

module foot()
{
    difference()
    {
        color("yellow")
            pill_shape(footWidth, footDepth, footHeight);

        color("cyan")
        translate([0, 0, thickness])
            pill_shape(footWidth  - thickness,
                       footDepth  - thickness,
                       footHeight - thickness);
    }
}

module main()
{
    for (x = [1 : howManyToPrint])
    {
        offset = x * (footWidth + offsetBetween) -
                 howManyToPrint * (footWidth + offsetBetween) / 2
                 - footRadius - offsetBetween / 2;
        translate([offset, 0, 0])
            foot();
    }
}

main();
```


[User]
I need an OpenSCAD design for a protective cover for a wood chisel. Basically, it's a box with one end open that the chisel slides into. The box should be sized to fit snugly around the chisel blade, but with some clearance.

Here are the parameters I need to be able to control:

*   `bladeWidth`: The width of the chisel blade.
*   `bladeDepth`: The depth (thickness) of the chisel blade.
*   `bladeHeight`: The height of the chisel blade (the length that will be inside the cover).
*   `offset`: The amount of extra space around the blade when creating the box, on each side (all 4 sides). This should be added to the blade dimensions before the cover is created.
*   `tightness`: The amount to subtract from the internal height of the cover so it fits snugly.

I would like to have the following modules:
*   `box()`: creates the outer box based on parameters for the blade, offset, and thickness
*   `cutout()`: creates the internal cut-out for the chisel based on parameters for the blade, offset, and tightness
*   `main()`: renders the final object by cutting the `cutout()` from the `box()` and rotating the result to lie flat on the build plate.

The final object should have the open end of the box facing the viewer when rendered. I’d like the outer box to be yellow and the cutout to be cyan, but that's not critical. It should be easy to customize the size of the box and cutout via those parameters.

[Assistant]
WoodChiselBladeCover.scad:
```
//
//  WoodChistelBladeCover.scad
//
//  Evilteach  6/18/2016
//
//
bladeWidth   = 15.00;
bladeDepth   = 20.00;
bladeHeight  =  4.84;

offset       =  2.00;
tighteness   =  0.10;

boxWidth  = bladeWidth + offset * 2;
boxDepth  = bladeDepth + offset * 2;
boxHeight = bladeHeight + offset * 2;

cutoutWidth  = boxWidth  - offset * 2;
cutoutDepth  = boxDepth  - offset * 2;
cutoutHeight = boxHeight - offset * 2;

module box()
{
    color("yellow")
        cube([boxWidth, boxDepth, boxHeight]);
}

module cutout()
{
    color("cyan")
        cube([cutoutWidth, cutoutDepth, cutoutHeight - tighteness]);
}

module main()
{
    translate([-boxWidth / 2, 0, boxDepth])
        rotate([270, 0, 0])
            difference()
            {
                box();

                translate([offset, 0, offset])
                    cutout();
            }
}

main();
```


[User]
Hey, I'm looking to create a custom LED strip light diffuser mount and I'm hoping you can help me with the OpenSCAD code. I need it to be parametric so I can easily adjust the dimensions for different situations.

Basically, I need a mount that holds the LED strip at an angle. I'd like to be able to control the length of the mount, the width of the face where the LED strip sits, the angle of that face, the thickness of the plinth, and the wall thickness for the diffuser part. The design I'm thinking of is that the mount will sit on a flat plinth, and from that plinth there will be an angled face where the LED strip will be glued or stuck onto, and then on top of that angled face will be a light diffuser. I would like there to be mounting ears at the ends of the mount.

Here's a breakdown of the parameters I need to control:

*   `length`: The overall length of the angled face where the LED strip sits.
*   `faceW`: The width of the face where the LED strip is mounted.
*   `angle`: The angle (in degrees) of the face where the LED strip sits, relative to the base plinth (it should be angled up from the base).
*   `thickness`: The thickness of the base plinth.
*   `wall`: The thickness of the diffuser walls.

The diffuser should be a hollow, translucent shell covering the LED strip with mounting features on the end to fit into the mount - think of it as a hollow rounded rectangle that fits over the angled LED face. It also needs to have mounting features on the end to hold it into the base mount.

I think it would be helpful to include the following modules:
*   `ledDiffuser()`: Top level module to call to assemble the full LED diffuser.
*   `angleMount()`: Module which creates the base plinth and angled LED mount.
*   `prism(l, w, h)`: A function to create the angled LED mount given the length, base width and height.
*    `ear()`: Module to create the mounting ears for the base mount and diffuser.
*   `diffuser()`: Module to create the light diffuser.
*   `lense()`: Module to create the main diffuser lense

I need this to be fully parametric, and the code should create the entire assembly including the base mount and the diffuser. It would be really helpful if you could include comments in the code to explain what is going on, and use meaningful variable names. I'd also like to know if there are any libraries you will be using, and if there are any specific modules that I need to import as well. Also please specify all of your assumptions.

[Assistant]
Diffuser.scad:
```

// Wedge length (mm)
length = 55;

// Wedge face width (mm)
faceW = 10;

// Wedge face angle (degrees >0)
angle = 30;

// Plinth thickness
thickness = 2;

// Wall thickness
wall = 1.5;

//======================
A = 180 - 90 - angle;
base = sin(A)*faceW;
side = cos(A)*faceW;
chord = (sqrt((side*side)+((base/2)*(base/2))))+2;
totalWidth = 2*chord;
centre = chord;
totalLength = length+(2*wall)+1;

module ledDiffuser(){
    angleMount();

    translate([2*totalWidth,0,0])
        diffuser();
}ledDiffuser();

module angleMount(){
    translate([0,0,0])
        cube([totalWidth,totalLength,thickness]);

    offset = base/2;
    translate([centre+offset,thickness,thickness])
            prism(length,base,side);

    translate([totalWidth/2,0,0])
        ear();

    translate([totalWidth/2,totalLength,0]){
        rotate([0,0,180])
            ear();
    }
}

module prism(l, w, h){
    rotate([0,0,90]){
       polyhedron(
               points=[[0,0,0], [l,0,0], [l,w,0], [0,w,0], [0,w,h], [l,w,h]],
               faces=[[0,1,2,3],[5,4,3,2],[0,4,5,1],[0,3,4],[5,2,1]]
               );
    }
}

module ear(){
    difference(){
        cylinder(h=thickness,d=totalWidth,$fn=180);
        translate([0,-(totalWidth/4),-0.1])
            cylinder(h=2*thickness,d=4,$fn=180);
        translate([-totalWidth/2,0,-0.1])
            cube([totalWidth,(totalWidth/2)+1,(2*thickness)]);
    }
}

module diffuser(){
    translate([-(chord),0,0]){
        difference(){
            cube([totalWidth,totalLength,wall]);
            translate([wall,wall,-0.1])
                cube([(2*chord)-(2*wall),length+1,wall+1]);

            translate([chord-2,-0.1,-0.1])
                cube([4,totalLength+1,5]);
        }
    }

    difference(){
        ear();
        translate([-2,-totalWidth,-0.1])
            cube([4,totalLength,5]);
    }

    translate([0,totalLength,0]){
        rotate([0,0,180]){
            difference(){
                ear();
                translate([-2,-totalWidth,-0.1])
                    cube([4,totalLength,5]);
            }
        }
    }

    translate([0,0,wall]){
        lense();
    }
}

module lense(){
    rotate([-90,0,0]){
        difference(){
            cylinder(h=totalLength,d=totalWidth,$fn=180);
            translate([0,wall,wall])
                cylinder(h=length+1,r=chord-wall,$fn=180);

            translate([-(chord),0,-.1])
                cube([2*chord,chord,totalLength+1]);

            translate([0,-chord/3,-0.5])
                cylinder(h=totalLength+1,d=4,$fn=180);

            translate([-thickness,-chord/3,-0.5])
                cube([4,10,totalLength+1]);
        }
    }
}
```


[User]
I need an OpenSCAD design for a snap-together hinge, something like what's described in the provided code. I'm going to give you the parameters and how they interact, and I need you to generate the OpenSCAD files.

The hinge consists of two main parts: an "inside" part and an "outside" part. Each part has two tabs that interlock. The tabs have a rounded snap feature that locks the two parts together.

Here's a breakdown of the parameters I need to control:

*   `$fn`: The number of fragments for circles and spheres, just like the example.
*   `tabThickness`: The thickness of the tabs.
*   `tabWidth`: The width of the tabs.
*   `tabSeperation`: The gap between the two tabs on the *inside* part.
*   `tabTolerance`: A tolerance value that moves the tabs on the outside part outward slightly to provide some clearance.
*   `pivotTolerance`: A value that extends the tabs in the "Y" direction to give room for rotation.
*   `directDiameter`: The diameter of the sphere used to create the indent on the inside part if we are using a diameter method.
*   `indentWidth`: The *width* of the indent on the inside part, if we are using a width method. We are not using both of these.
*   `diameterOrWidth`: A selector, `0` to use `directDiameter`, `1` to use `indentWidth`. This determines whether we calculate the sphere size based on the diameter, or the indent width.
*  `ballTolerance`: A difference in radius between the bump and the indent, this is used to determine the size of the bump on the outside part.
*   `backLength`: The length of the block that the tabs are attached to in the "Y" direction
*   `ballRatio`: The proportion of the sphere that extends beyond the tab. This is a value between 0 and 0.5, exclusive of 0.

The design should follow these specific rules:

**Tabs:**

*   Each tab is a cylinder with a rectangular extension in the "Y" direction for rotation, with all tab features contained within a larger cube, which is extended by `backLength`.
*   The "male" (outside) tab has a rounded bump, and the "female" (inside) tab has a matching indent.
*   The size of the bump/indent is derived from the `directDiameter` or `indentWidth`, depending on `diameterOrWidth`
* The bump on the outside tab has a reduced sphere radius determined by `ballTolerance`, to ensure a good snap.
*   The bump and the indent are offset from the center plane of the tab, which is determined by the `ballRatio`.

**Inside Part:**

*   Two "female" tabs are created and positioned at 0 and at `tabSeperation` in the Z axis.
*   A rectangular block connects to the tabs in the Y direction.

**Outside Part:**

*   Two "male" tabs are created and positioned with an additional offset, defined by `tabTolerance`, between them.
*   A rectangular block connects to the tabs in the Y direction.

The code should also include some `echo()` statements, just like the example, to print the calculated dimensions like the inner snap height, the distance from the sphere to edge of the tab, and the exposed width of the snap ball.

I don't need any libraries beyond the standard OpenSCAD stuff. Please make sure the design is parametric so I can adjust it easily.

[Assistant]
Snappy_V3.scad:
```
//number of fragments
$fn=70;

tabThickness = 1.85;
tabWidth = 3.55;
//Gap between tabs on the inside snap
tabSeperation = 1.3;
//Moves the tabs on the outside part, to allow more room for inside part
tabTolerance = 0.2;

//extends the tabs so that they have room to rotate
pivotTolerance = 1;
//diameter of the ball that is used to make an indent on the inside part
directDiameter = 3;
//use this instead of ball diameter to control indent width
indentWidth = 2.93939;
//Choose to use either directDiameter or indentWidth
diameterOrWidth = 0;//	[0:Use ball diameter, 1:Use indent width]
//difference in radius between bump and indent
ballTolerance = 0.3;
//extends the block that the tabs are connected to
backLength = 5;

//how much of the ball comes from the tab on the range (0 , 0.5]
ballRatio = .4;

//reverse testing equation for diameter from width
divisor = 4*(.25-pow(.5-ballRatio,2));
dSquared = pow(exposedWidth,2)/divisor;
D = sqrt(dSquared);
echo("D: ", D);

    divisor = 4*(.25-pow(.5-ballRatio,2));
    dSquared = pow(indentWidth,2)/divisor;
    ballDiameter = sqrt(dSquared)*diameterOrWidth+directDiameter*(1-diameterOrWidth);//this works like an if statement
    echo("ballDiameter: ", ballDiameter);

echo("<b>The inner snap is</b> ",tabThickness*2+tabSeperation,"mm tall.");
smallBallDiameter = ballDiameter-2*ballTolerance;
ballHidden = ballDiameter*(.5-ballRatio);
ballExposed = ballDiameter*ballRatio;
exposedWidth = 2*sqrt(pow((ballDiameter/2),2)-pow(ballHidden,2));
echo("<b> distance from sphere to edge of tab: </b>", (tabWidth-exposedWidth)/2);
echo("exposed width: ",exposedWidth);

translate([-2*tabThickness-tabSeperation-2,0,0])
rotate(a=90,v=[0,1,0])
insidePart();

rotate(a=90,v=[0,1,0])
outsidePart();

module maleTab(){

    cylinder(h=tabThickness,d=tabWidth);
    translate([-tabWidth/2,0,0])
    cube([
        tabWidth,
        tabWidth/2+pivotTolerance,
        tabThickness]);

    difference(){
    translate([0,0,tabThickness+(ballRatio-.5)*smallBallDiameter])
    sphere(d=smallBallDiameter);

    translate([-tabWidth/2-1,-tabWidth/2-1,-smallBallDiameter+tabThickness])
    cube([tabWidth+2,tabWidth+2,smallBallDiameter]);
    }
}
module femaleTab(){
    difference(){
    union(){
    cylinder(h=tabThickness,d=tabWidth);
    translate([-tabWidth/2,0,0])

    cube([
        tabWidth,
        tabWidth/2+pivotTolerance,
        tabThickness]);
    }

    translate([0,0,tabThickness-(ballRatio-.5)*ballDiameter])
    sphere(d=ballDiameter);

    }
}
module insidePart(){
    translate([0,0,tabThickness]){
        rotate(a=180,v=[0,1,0])
            femaleTab();

        translate([0,0,tabSeperation])
        femaleTab();
    }
    translate([-tabWidth/2,.5*tabWidth+pivotTolerance,0])
        cube([tabWidth,backLength,2*tabThickness+tabSeperation]);
}

module outsidePart(){
    outerSeperation = 2*(tabThickness+tabTolerance)+tabSeperation;
    maleTab();

    translate([0,0,2*tabThickness+outerSeperation])
        rotate(a=180,v=[0,1,0])
            maleTab();
    translate([-tabWidth/2,.5*tabWidth+pivotTolerance,0])
        cube([tabWidth,backLength,2*tabThickness+outerSeperation]);
}

```


[User]
I'd like to design a parametric smartphone holder for a car, specifically for a Fiat Punto. I want it to be customizable based on the phone model, and whether it's in portrait or landscape orientation. I've provided the existing code which supports a few phone models and allows toggling a cutout for charging. I'd like a similar design, but improved, and with the ability to handle more complex phone geometries.

Here's what I need:

1.  **Phone Model Selection:**  Instead of a fixed list, I want to be able to specify the phone's dimensions (width, length, thickness) as parameters so that I'm not limited to hard-coded models. Let's call these `phone_width`, `phone_length`, and `phone_thickness`.
2.  **Orientation:** A `view_orientation` parameter should allow for either "portrait" or "landscape" modes, like in the original code.
3. **Support Base:** The base of the support, which rests on the dashboard should also be parameterizable. I'd like to control base width (`base_width`), base length (`base_length`), and base height (`base_height`). Also, the angle the base makes with the phone holder should be a parameter (`base_angle`). I'd like the base to have a small lip to avoid slipping off the dashboard, and also a curve at the back.
4. **Phone Grips:**  Instead of the current flat support, I need to create adjustable grips that hold the phone more securely. Let's say I'd like four grips, two at the bottom and two at the sides, and each should be parameterizable by width (`grip_width`), height (`grip_height`), thickness (`grip_thickness`) and depth (`grip_depth`).
5. **Charging Port Access:** The original code had a simple cutout for charging access. I'd like a parameter, `charge_access`, that lets the user decide whether or not to include a cutout for a charging port. If so, I need the cutout width (`charge_cutout_width`), height (`charge_cutout_height`) and position relative to the phone (`charge_cutout_x`, `charge_cutout_y`).
6. **Material Thickness:** The thickness of the material used for the holder should also be a parameter (`support_thickness`).
7.  **Parametric Mounting:** I'd like the ability to easily change the mounting for the support to the base (i.e. change the connecting arm). I'd like a `mount_type` parameter that defaults to "straight", but can be set to "curved", "dual_arm", or custom. For the "straight" case, a length parameter (`mount_length`) and a width parameter (`mount_width`). For the "curved" case a length parameter (`mount_length_curved`) and a radius parameter (`mount_radius`). And for the "dual_arm" case, a length parameter (`mount_length_dual`), a width parameter (`mount_width_dual`), and an angle parameter (`mount_angle`).
8.  **Rounded Edges**: Finally, I'd like a parameter for the edge rounding radius, `edge_rounding`, to apply to all corners of the design.

I'm hoping for a clean, parametric design with these controls. I don't need any external libraries.

[Assistant]
SupportPourSmartphone_1.scad:
```
/*

            _________________-----_________________
           /                 \___/                 \
          |     _______________________________     |
          | || |                               |    |
          | || | Support pour smartphone pour  |    |_
          |    | Fiat Punto v.sqrt(2)-1        |   |  |
          | || | Ecrit en OpenSCAD par         | <>|  |
          | || | Vanlindt Marc (c) 2016        |   |__|
          |    | CC-BY-SA - www.vanlindt.be    |    |
          | || | marc@vanlindt.be              |    |
          | || |_______________________________|    |
          |                  ___                    |
           \________________/   \__________________/
                            -----

*/

Modele_de_smartphone="Huawei SCL-L01"; //[Google Nexus 6, Huawei SCL-L01, HTC One,iPhone 4,iPhone 5, iPhone 6, OnePlus One, Samsung Galaxy S4, Samsung Galaxy S5, Sony XPeria Z3, custom]
Visualisation="paysage";//[paysage,portrait]
Trou_pour_alimentation="oui";//[oui,non]
Largeur_du_smartphone=100;
Longueur_du_smartphone=200;
Epaisseur_du_smartphone=10;
Epaisseur_du_support=5; //[2:15]

ObjetFinal();

module ObjetFinal(){
modele=
[
    ["Huawei SCL-L01",72,143,10],
    ["iPhone 4",58.6,115.2,9.3],
    ["iPhone 5",58.6,123.8,7.6],
    ["iPhone 6",67,138.1,6.9],
    ["HTC One",70.6,146.4,9.4],
    ["Samsung Galaxy S4",69.8,136.6,7.9],
    ["Samsung Galaxy S5",72.5,142,8.1],
    ["Sony XPeria Z3",72,146,7.3],
    ["OnePlus One",75.9,152.9,8.9],
    ["Google Nexus 6",83,159.3,10.1],

    ["custom",Largeur_du_smartphone,Longueur_du_smartphone,Epaisseur_du_smartphone]
];
        for(i=[0:len(modele)])
        {
            if (Modele_de_smartphone==modele[i][0]&&Visualisation=="paysage"){
            ToutLeSupport(LASM=modele[i][1],LOSM=modele[i][2],HASM=modele[i][3]);}

            if (Modele_de_smartphone==modele[i][0]&&Visualisation=="portrait"){
            ToutLeSupport(LASM=modele[i][2],LOSM=modele[i][1],HASM=modele[i][3]);}
        }

}

module ToutLeSupport()
{
    union()
    {
        accroches();
        support(LASM=LASM,LOSM=LOSM,HASM=HASM);
    }
}

module support()
{
union()
    {
    difference()
    {
        union()
        {

            if(Trou_pour_alimentation=="oui"&&Visualisation=="portrait")
            {
                translate([0,10,HASM/2+Epaisseur_du_support])
                cube([LASM+Epaisseur_du_support*2,20+Epaisseur_du_support*2,HASM+Epaisseur_du_support*2],center=true);

                translate([0,(LOSM/2+Epaisseur_du_support)/2,HASM/2+Epaisseur_du_support])
                cube([20,LOSM/2+Epaisseur_du_support,HASM+Epaisseur_du_support*2],center=true);}

            if(Trou_pour_alimentation=="oui"&&Visualisation=="paysage")
            {
                translate([0,10,HASM/2+Epaisseur_du_support])
                cube([LASM+Epaisseur_du_support*2,20,HASM+Epaisseur_du_support*2],center=true);

                translate([0,(LOSM/2+Epaisseur_du_support)/2,HASM/2+Epaisseur_du_support])
                cube([20+20,LOSM/2+Epaisseur_du_support,HASM+Epaisseur_du_support*2],center=true);}

            if(Trou_pour_alimentation=="non")
                { translate([0,10,HASM/2+Epaisseur_du_support])
                cube([LASM+Epaisseur_du_support*2,20,HASM+Epaisseur_du_support*2],center=true);

                    translate([0,(LOSM/2+Epaisseur_du_support)/2,HASM/2+Epaisseur_du_support])
                cube([20,LOSM/2+Epaisseur_du_support,HASM+Epaisseur_du_support*2],center=true);}

        }
        union()
        {
            translate([0,0,HASM/2+Epaisseur_du_support])
            cube([LASM,LOSM,HASM],center=true);

            translate([0,0,HASM+Epaisseur_du_support*2])
            cube([LASM-Epaisseur_du_support*2,LOSM-Epaisseur_du_support*2,HASM+Epaisseur_du_support*2],center=true);

            if(Trou_pour_alimentation=="oui" && Visualisation=="paysage")
            {
                translate([0,0,(HASM/2+Epaisseur_du_support)])
                cube([20,LOSM*2,HASM],center=true);
            }
            if(Trou_pour_alimentation=="oui" && Visualisation=="portrait")
            {

                translate([0,20/2,(HASM/2+Epaisseur_du_support)])
                rotate([0,0,90])
                cube([20,LOSM*4,HASM],center=true);
            }

        }
        if(Visualisation=="paysage")
        {
            signature(aa=2,oo=0,t=LOSM/2*20/42);
        }
        else
        {

            translate([LASM/5,20/2,0])
            rotate([0,0,90])
            signature(aa=2,oo=0,t=LASM/2*20/42);
        }

    }

    if(Visualisation=="paysage")
    {
        signature(aa=3,oo=0,t=LOSM/2*20/42);
    }
    else
    {
        translate([LASM/5,20/2,0])
        rotate([0,0,90])
        signature(aa=3,oo=0,t=LASM/2*20/42);}
    }

}

module accroches()
{
    rotate([0,0,180])
    translate([0,0,-31])
    {
        translate([-2,-13,0])
        accroche();
        translate([-2,-13-23,0])
        accroche();
    }
}
module accroche()
{
    union()
    {
        cube([4,13,30]);

        translate([0,0,1])
        rotate([-90,0,0])
        cylinder(d=2,h=13,$fn=16);

        translate([-6,13,25])
        rotate([90,0,0])
        linear_extrude(13)
        offset(-4)
        offset(4)
        square([15,7]);
    }
}

module signature(oo)
{
    rotate([0,0,90])
    translate([10,0,Epaisseur_du_support-aa])
    linear_extrude(height=aa)
    offset(oo)

    resize([t,t/4.2])
    {text("www.vanlindt.be");
    translate([0,-12,0])
    text("CC-BY-SA");
    }
}
```


[User]
Hi, I'm looking for an OpenSCAD design that can generate a variety of cactus-like shapes. I'd like it to be parametric so I can easily tweak the appearance. I found some example code, but it's probably easier to just start fresh. Here's what I'm looking for:

The core idea is a recursive branching system where each branch can be one of a few different types. I’d like to be able to control the following:

*   **Segment width:** This should control the overall thickness of the cactus segments.
*   **Length multiplier:** A value that scales the length of segments relative to their width.
*   **Number of iterations:** This controls the overall level of branching; how many times the recursion happens.
*   **Level of smoothness:** This variable controls the `$fn` value for any cylinders or spheres.
*   **Seed value:** A single integer value that controls all randomness; changes to this should radically alter the shape.

The branch types I want are as follows, with a probability of being chosen for each:

*   **Straight Trunk:** This is a simple cylindrical segment with a small sphere at the tip. Probability: 60%.
*   **Branch Left:** This is a trunk with a branching segment coming out the side and a sphere at the tip. Probability: 38%.
*  **Branch Crook:** This is a trunk segment with a branching segment that makes a crook, with a sphere at the tip. Probability: 2%.
*   **Sphere:** There's a small probability (2% i.e. if no other branch is chosen) that just a sphere would get added to the branch instead of adding further branches. This acts as a final node.

Here's a little more detail on how the branches should work:

*   Each branching segment should be slightly smaller than the parent segment (maybe 90% for trunks and 75% for side-branches).
*   There should be random rotation applied at the end of each segment, and again for each branch from the same point (e.g. the side-branch should have a random rotation applied).
*   The branching segments should come off at about a 90 degree angle from the parent. I'm picturing something that starts as a cylinder of a certain width and then has another cylinder coming out the side.
* The sphere at the end of a branch should be roughly the same diameter as the cylinder it's attached to.

I'd like the cactus to be green, and I think this would probably be best as a single SCAD file. I also don't want to use any external libraries (MCAD, BOSL, etc.).

Thanks in advance, let me know if you have any questions!

[Assistant]
cactus2.scad:
```
// Customizable Cactii
//
// By steveweber314
//
// 6/20/2016
//

// BEGIN CUSTOMIZER

/* [Cactii Parameters] */

random_seed = 786;

//width of segment
segment_width = 10;

//segment length relative to width
length_multiplier = 4;

//number of iterations
number_of_iterations = 10;

level_of_smoothness = 25;

module trunk(width, depth, seed)
{
    //create an array of random numbers
    operation = rands(1,100,1, seed+5);

        echo(operation);

        //choose a module based on that array
        if (operation[0] < 60)
        {
            straight_trunk(width*.9, depth, seed+23546);
        }
        else if (operation[0] < 70)
        {
            branch_crook(width*.9, depth, seed+28543);
        }
        else if (operation[0] < 98)
        {
            branch_left(width*.9, depth, seed+28543);
        }
        else
        {
           sphere(width);
        }

}

module straight_trunk(width, depth, seed)
{
	rotations = rands(-10,10,10, seed+987654);

	color([0,1,0])
	{

		cylinder(h = width*length_multiplier, r1 = width, r2 = width);

        //move to the tip of the branch
        translate([0,0,width*length_multiplier])
        {

            union()
            {

                sphere(width);
                rotate([0+rotations[0],0+rotations[1],0+36*rotations[2]])
                {
                    //check for stop condition
                    if (depth > 0)
                    {
                        //build another trunk
                        trunk(width, depth-1, seed+8532);
                    }
                }
            }

        }
    }
}

module branch_left(width, depth, seed)
{
    rotations = rands(-10,10,10, seed+45678);

	color([0,1,0])
	{
		//create the branch by tapering a cylinder from one radius to another
		cylinder(h = width*length_multiplier, r1 = width, r2 = width);

        //move to the tip of the branch
        translate([0,0,width*length_multiplier])
        {

            union()
            {

                sphere(width);

                //trunk
                rotate([0+rotations[0],0+rotations[1],0+36*rotations[2]])
                {
                    //check for stop condition
                    if (depth > 0)
                    {
                        //build another trunk
                        trunk(width, depth-1, seed+24571);
                    }
                }
                //branch
                rotate([0+rotations[0],0+rotations[1],0+36*rotations[2]])
                {
                    //check for stop condition
                    if (depth > 0)
                    {
                        rotate([0,90,36*rotations[3]])
                        {
                            cylinder(h = width*length_multiplier*0.75, r1 = width, r2 = width);
                            translate([0,0,width*length_multiplier*0.75])
                            {
                                            sphere(width);
                                rotate([0,-90,0])
                                {
                                    //build another trunk
                                    trunk(width*.75, depth-1, seed+1);
                                }
                            }
                        }
                    }
                }
            }
        }
	}
}

module branch_crook(width, depth, seed)
{
    rotations = rands(-10,10,10, seed+75326);

	color([0,1,0])
	{
		//create the branch by tapering a cylinder from one radius to another
		cylinder(h = width*length_multiplier, r1 = width, r2 = width);

        //move to the tip of the branch
        translate([0,0,width*length_multiplier])
        {

            union()
            {

                sphere(width);

                //branch
                rotate([0+rotations[0],0+rotations[1],0+36*rotations[2]])
                {
                    //check for stop condition
                    if (depth > 0)
                    {
                        rotate([0,-90,36*rotations[3]])
                        {
                            cylinder(h = width*length_multiplier*0.75, r1 = width, r2 = width);
                            translate([0,0,width*length_multiplier*0.75])
                            {
                                sphere(width);
                                rotate([0,90,0])
                                {
                                    //build another trunk
                                    trunk(width*.75, depth-1, seed+1);
                                }
                            }
                        }
                    }
                }
            }
        }
	}
}

union()
{

    //build the tree
    trunk(segment_width, number_of_iterations, $fn=level_of_smoothness, random_seed);
}

```


[User]
Hey, I'm looking to design a lock pick handle system, and I'd like to be able to generate handles for a variety of different pick shapes. I saw this file called `pickRoundPoint7.scad` that seemed like a good starting point, but I need to generalize it more. Basically, I want to be able to specify the dimensions of the pick, and then automatically generate a handle that fits around that pick shape, with options for different handle shapes, sizes, and smoothing.

Here's the breakdown of what I'm thinking:

**Pick Parameters:**

*   **`pickLength`**: Length of the pick itself.
*   **`pickWidth`**: Width of the pick.
*   **`pickDepth`**: Depth (thickness) of the pick.
*   **`pickRotation`**: Rotation of the pick in degrees (I guess this is more for how the pick sits in the handle).

**Handle Parameters:**

*   **`handleLength`**: Overall length of the handle.
*   **`handleWidth`**: Width of the handle at its widest point.
*   **`handleDepth`**: Depth (thickness) of the handle.
*   **`topScalePercent`**: Percentage of the handle width at the tip (where the pick comes out). So like, if the handle width was 10mm and this was 50, the width of the handle at that point would be 5mm.
*   **`middleFocalPercent`**: Percentage of handle length that determines where the handle is at its full width. So if the length was 100 and this was 25, the handle is at full width 25mm from the base of the handle.
*   **`bottomScalePercent`**: Percentage of the handle width at the butt (opposite end from the pick).
*   **`handleSides`**: Number of sides for the handle (3 for triangular, 4 for square, etc.). I'd like a smooth handle as well, so maybe some value like 200 would give us a "smooth" handle by using a high number of sides.
*   **`minkowskiSmoothing`**:  A boolean to enable or disable smoothing.
*   **`minkowskiSize`**:  The radius for smoothing. The handle needs to be scaled inward by this amount to avoid overal increase in size when minkowski operation is performed.
*   **`minkowskiRoundness`**: Determines how round the smoothing is.

**Functionality:**

1.  **`rawPick()`:** This module defines the basic shape of the pick based on `topScalePercent`, `middleFocalPercent`, and `bottomScalePercent`. I'd like for this to be a "profile" that we then extrude to give it depth.
2.  **`softPick()`:** If minkowski smoothing is true, this module is used to generate the handle, including the subtracted area for the pick.
3.  **`hardPick()`:** If minkowski smoothing is false, this module is used to generate the handle, including the subtracted area for the pick.
4.  The final result should be the handle with the appropriately sized hole for the pick that I defined. I like that the existing code rotates the final result 90 degrees, so I'd like that kept.

I think I'd like to have this split into at least two files. One file called `pick_handle.scad` for the handle generation and a second file called `pick_config.scad` for defining the parameters. This way I can have a separate config file per pick shape. I want to avoid hardcoding these parameters inside the primary module code.

I'm new to this and the files I provided were an attempt to do just this and I'm hoping you can help me generate the code. Can you help with this?

[Assistant]
pickRoundPoint7.scad:
```
/* [Pick Dimensions in mm] */
// Length
pickLength=82;
// Width
pickWidth=8;
// Depth
pickDepth=.7;
// Rotation
pickRotation = 10;

/* [Handle Dimensions in mm] */
// Length
length=85;
// Width
width=15;
// Depth
depth=4.5;
// Top scale. 0-100. The percent  of handle width at the pick end of the tool.
topScalePercent=75;
// The middle focal percent. 0-100. The pick is generated with the midle point at 100% of pick width, but where this takes place is controllable.
middleFocalPercent=12.5;
// Bottom scale. 0-100. The percent of handle width at the butt.
bottomScalePercent=75;
// Number of sides. 3 is triangular, 4 square, and so on. Try 200 for "smooth". Make sure your handle contains the picks!
sides=6;

// Smoothing.
minkowski=true;
// Smoothing radius. This is additive to the outside dimensions of your pick, you can subtract off of your handle to compensate, but your base pick cannot be less than zero an any dimension.
minkowskiSize=2;
// Smoothing "roundness". 4-15 suggested, more is probably overkill...
minkowskiRoundness=15;

/* [Hidden] */
topScale=topScalePercent * .01;
middleFocal=length * (middleFocalPercent * .01);
bottomScale=bottomScalePercent * .01;

module rawPick() {
  rotate_extrude($fn=sides) {
    rotate([180, 0, 90]){
      polygon(points=[
        [0,0],
        [0, width/2*topScale],
        [middleFocal, width/2],
        [length, width/2 * bottomScale],
        [length, 0]
      ]);
    }
  }
}

module softPick() {
  translate([minkowskiSize, 0,0]) {
    difference() {
      $fn=minkowskiRoundness;
      minkowski(){
        rotate([90, 0, 90]){
          rawPick();
        }
        sphere(r=minkowskiSize);
      }

      translate([-minkowskiSize,-pickDepth/2,-pickWidth/2]) {
        cube([pickLength + minkowskiSize, pickDepth, pickWidth], false);
      }
    }
  }
}

module hardPick() {
  difference() {
    rotate([90, 0, 90]){
      rawPick();
    }

    translate([-minkowskiSize,-pickDepth/2,-pickWidth/2]) {
      cube([pickLength + minkowskiSize, pickDepth, pickWidth], false);
    }
  }
}

rotate([90,270,0]) {
  if(minkowski==true){
    softPick();
  } else {
    hardPick();
  }
}
```


[User]
I'd like to create a parametric design in OpenSCAD for generating spheres with text wrapped around them, similar to the PI sphere I saw. I want to be able to control the sphere's radius, the text itself, the thickness of the text, and the overall style of the sphere – which could be a solid shell with text cut out, or just the text floating on the surface, or the text protruding out of the shell.

Specifically, I want the following:

*   **Radius:** A parameter to control the overall radius of the sphere.
*   **Text:** A parameter to specify the text string to wrap around the sphere.
*   **Text Size:** A parameter to control the size of the characters.
*   **Text Spacing:** A parameter to control the gaps between characters.
*   **Text Thickness:** A parameter to control the thickness of the extruded text. This should scale with radius as well.
*   **Style:** A parameter with options such as:
    *   "No Shell": Only display the text around an imaginary sphere, no actual sphere.
    *   "Shell": Display the text extruded on the surface of a solid shell.
    *   "Inverted": Cut the text out of a solid shell, creating an inverted effect.
*   **Bottom Feature:** I want a flat, disc-shaped base at the bottom of the sphere that is also scaled according to the main radius, with a pi symbol engraved on it. The radius and depth of this bottom should be adjustable parameters too.
*   **Font:** I'd like to set the font for the text and for the pi symbol on the bottom as well.

I'm not sure how best to arrange the text so it wraps naturally, but I'd like it to start at the top, and work its way down the sphere as it circles around. I expect a few modules will be necessary. I'm not requesting any libraries as far as I know.

[Assistant]
pi_sphere.scad:
```
radius = 30;
style = "Shell"; // [No shell, Shell, Inverted]
thickness = 1;

module characters_sphere(characters, sphere_radius, bottom_radius, font_size, char_gaps, floor_density, begining_factor, thickness, style) {
    b = sphere_radius * begining_factor;

    module chars() {
	    for(i = [0:(180 * floor_density - b) / char_gaps]) {
			j = b + i * char_gaps;
			rotate([0, 0, j ])
				rotate([0, -90 + j / floor_density, 0])

					translate([sphere_radius, 0, characters[i] == "." ? -font_size / 3 : 0]) rotate([90, 0, 90])
					    linear_extrude(thickness)
						    text(characters[i], valign = "center", halign = "center", size = font_size, font = "Arial Black");

		}
	}

	module line() {
	    step = style == "Shell" ? 1 : 0.5;
		for(i = [0:(180 * floor_density - b) / step]) {
			j = b + i * step;
			rotate([0, 0, j ])
				rotate([0, -90 + j / floor_density, 0])
					 translate([sphere_radius, 0, 0])
						rotate([90, 0, 90])
							linear_extrude(thickness)
								translate([-font_size / 2, font_size / 2, 0]) square([0.5, style == "Inverted" ? thickness / 2 : thickness]);

		}
	}

	module bottom() {
		translate([0, 0, -sphere_radius - thickness * 1.5])
		union() {
			linear_extrude(thickness * 3)
				circle(bottom_radius, center = true, $fn = 48);

			color("black") linear_extrude(thickness * 4)
				rotate([0, 0, -90]) text("π", valign = "center", halign = "center", size = bottom_radius * 1.5, font = "Broadway");
		}
	}

	module shell() {
	    fn = style == "Shell" ? 24 : 48;
		difference() {
			sphere(sphere_radius + thickness / 2, $fn = fn);
			sphere(sphere_radius - thickness / 2, $fn = fn);
			linear_extrude(sphere_radius * 2)
					circle(bottom_radius * 1.2, center = true, $fn = 24);
		}
	}

	if(style == "Inverted") {
		difference() {
			shell();
			chars();
			line();
		}
	} else {
		chars();
		line();
        if(style == "Shell") {
		    shell();
		}
	}
	bottom();
}

module pi_sphere(radius, style, thickness) {
    characters = "3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817";
    sphere_radius = 30;
	bottom_radius = 10;
	font_size = 6;
	char_gaps = 15;
	floor_density = 30;
	begining_factor = 30;

	s = radius / sphere_radius;

	scale(s)
	    characters_sphere(characters, sphere_radius, bottom_radius, font_size, char_gaps, floor_density, begining_factor, thickness / s, style);
}

pi_sphere(radius, style, thickness);

```