[User]
Hi, I'd like to design a customizable funnel for transferring coffee grounds. I need a parametric OpenSCAD file that will let me change the dimensions easily.

The funnel should consist of a cylindrical base and a cone-shaped top. Here are the parameters I'd like to control:

*   **`baseHeight`**: The height of the cylindrical base.
*   **`baseDiam`**: The diameter of the cylindrical base.
*   **`funnelHeight`**: The height of the cone-shaped top.
*   **`funnelTopDiam`**: The diameter of the top opening of the cone.
*   **`tk`**: The wall thickness of the entire funnel.

I need to be able to adjust all these parameters. The design should create the funnel using a difference operation to create a hollow object. To be more precise, I'd like a small overlap at the join between the base cylinder and the funnel, where the inner walls of both shapes actually protrude a little past the outer edge. This could be accomplished by adjusting a small parameter or two that you can define as needed. Make sure it's possible to avoid creating zero thickness geometry in the code. Additionally, use `$fn` to control the smoothness of the curves, and make sure it's easily adjustable from the customizer interface. Let's set the default `$fn` to 100.

I think that's everything. Can you generate the necessary OpenSCAD code for this? I don't need any extra files for libraries, just the primary file.

[Assistant]
funnel.scad:
```
/**
* Simple parametrical funnel
* @author itzco
* @version 1.0.2
*/

/* [Main] */

// Height of bottom pipe
baseHeight=5;          // [2:1:100]
// Bottom pipe diameter
baseDiam = 50;         // [5:200]
// Height of top cone
funnelHeight = 20;     // [10:100]
// Top opening
funnelTopDiam = 80;    // [10:100]
// Wall thickness
tk = 1;                // [0.3:0.1:10]

/* [Internal] */
// Non zero wall adjustments should need any change
nz = 0.5;
nzm= 0.25;
// Quality 10-100
$fn=100;                // [10:100]

//funnel();
funnel (baseHeight, baseDiam, funnelHeight, funnelTopDiam, tk);

module funnel(
    baseHeight=30,
    baseDiam=10,
    funnelHeight=50,
    funnelTopDiam=80,
    tk=1) {
    union(){
        pipe(baseHeight, baseDiam,tk);
        translate([0,0,baseHeight])
        cone(funnelHeight, baseDiam, funnelTopDiam,tk);
    }
}
module pipe(h,d,tk=1) {
    difference(){
        cylinder(h=h,d=d);
        translate([0,0,-nzm])
        cylinder(h=h+nz,d=d-tk*2);
    }
}
module cone(h,d1,d2,tk=1) {
    difference(){
        cylinder(h=h,d1=d1,d2=d2);
        translate([0,0,-nzm])
        cylinder(h=h+nz,d1=d1-tk*2, d2=d2-tk*2);
    }
}

```


[User]
I need a jig for removing bearings from brushless motors. I have a basic design in mind, but I'd like it to be parametric so I can adjust it for different motor sizes.

The jig needs a base, a central tunnel to support the motor can, and a smaller ring to catch the bearing. The key is that the bearing catcher is sized to catch the bearing, preventing pressure on the motor windings. There should also be a channel for cables to pass through.

Specifically, I need the following:

*   **Base:** A simple cylinder that will sit flat.
*   **Tunnel:** A larger cylinder, concentric with the base, that supports the motor can. This cylinder needs an inner diameter and a height.
*   **Bearing Catcher Ring:** A smaller ring at the top of the tunnel, with an inner diameter slightly larger than the shaft hole in the bearing, an outer diameter slightly larger than the bearing itself, and a specific height. This ring should sit at the top of the tunnel, or perhaps with a little offset.
*   **Cable Channel:** A rectangular channel that runs vertically up one side of the jig from the base. I want to be able to specify the width and how far from center it begins.
*   **Wall Thickness:** The wall thickness between the inner and outer walls should be adjustable.
*   **Bottom Thickness:** I'd like to control the thickness of the base cylinder.

I'd like to be able to define these parameters:

*   `bearing_catcher_id`: Inner diameter of the bearing catcher ring (shaft hole).
*   `bearing_catcher_od`: Outer diameter of the bearing catcher ring.
*   `bearing_catcher_height`: Height of the bearing catcher ring.
*   `tunnel_id`: Inner diameter of the main tunnel (motor can support).
*   `tunnel_height`: Height of the main tunnel.
*    `wall_width`: The thickness of the wall of the jig around the tunnel.
*   `cable_channel_width`: Width of the cable channel.
*   `bottom`: Thickness of the bottom base.

I'm hoping you can provide an OpenSCAD file that does all this. I do want to control `fn` for the quality of the curves.

[Assistant]
brushless-bearing-jig.scad:
```
bearing_catcher_id = 8.5;
bearing_catcher_od = 12;
bearing_catcher_height = 5;
tunnel_id = 22.5;
tunnel_height = 12;
wall_width = 5;
cable_channel_width = 9;
bottom = 1.2;

$fn = 96;

//cylinder(r = id, h = 10);

module Ring(ir, or, h) {
    difference() {
        cylinder(r = or, h = h);
        cylinder(r = ir, h = h * 3, center = true);
    }
}

module CableChannel() {
    translate([-20, -cable_channel_width / 2, bearing_catcher_height + bottom]) {
        cube([20, cable_channel_width, 20]);
    }
}

module Body() {
    cylinder(r = (tunnel_id / 2) + wall_width, h = bottom);
    translate([0, 0, bottom]) {
        Ring(tunnel_id / 2, (tunnel_id / 2) + wall_width, tunnel_height + bearing_catcher_height);
        Ring(bearing_catcher_id / 2, bearing_catcher_od / 2, bearing_catcher_height);
    }
}

difference() {
    Body();
    CableChannel();
}
```


[User]
Hi! I'm looking to design a custom CNC end mill holder using OpenSCAD, and I'd like it to be parametric so I can easily adjust the size and number of end mills it holds.

Here's a breakdown of what I need:

The holder should consist of a base and a series of cylindrical holes to hold the end mills. I'd like to be able to specify the following parameters:

*   **End Mill Gap:**  The spacing between the center of each end mill hole (or just the space between the edge of the holes). Let's say, for example, 5mm.
*   **End Mill Diameter:** The diameter of the end mills themselves. Let's start with 12mm for now, but I need to change this.
*   **End Mills Per Row:** How many end mills the holder should have in each row. I'd like to start with 4.
*   **End Mills Per Column:** How many end mills the holder should have in each column. I'd also like to start with 4.
*   **Holder Height:** The total height of the holder. Let's try 25mm
*   **Base Height:** The height of the base of the holder, not including the holes, for example, 3mm.
*   **Rounding radius** I would like the edges of the holder to be rounded using the 'hull' function. I want to be able to specify the radius of this rounding using a variable. Let's start with 5mm.

The end mill holes should go most of the way through the holder, but not all the way. The holder should be a single block and the holes should be "cut" out of it.

I also don't need any fancy libraries for this, I think it should be possible with basic OpenSCAD functions.

Could you generate the OpenSCAD file(s) for this design? I'm looking for something where these parameters can be defined at the top, and the whole design updates accordingly. Thanks so much!

[Assistant]
cnc_endmills_holder.scad:
```
/*
CNC End Mills Holder (c) by Jorge Monteiro

CNC End Mills Holder is licensed under a
Creative Commons Attribution-ShareAlike 4.0 International.

You should have received a copy of the license along with this
work.  If not, see <http://creativecommons.org/licenses/by-sa/4.0/>.
*/

/* [Basics] */
// Space between end mills in mm
endMillGap = 5;
// Diameter of end mill in mm
endMillSize = 12;
// Number of end mills you want to store per row
endMillsPerRow = 4;
// Number of end mills you want to store per column
endMillsPerColumn = 4;
// Height of the end mill box in mm
height = 25;
// Base of the box in mm
baseHeight = 3;

/* [Ignore] */
$fn=40*1;
endMillDim = endMillSize/2;
width = endMillsPerRow * (endMillGap + endMillSize) + endMillGap;
length = endMillsPerColumn * (endMillGap + endMillSize) + endMillGap;
endMillHeight = height - baseHeight;

difference() {

    translate([length/2-(endMillGap+endMillDim), width/2-(endMillGap+endMillDim), -3]) roundedCube(length, width, height, 5);
    drawEndMillHolders();
};

module drawEndMillHolders() {
     for(row = [0 : 1 : endMillsPerRow-1]) {
         for(column = [0 : 1 : endMillsPerColumn-1]) {
            translate([(endMillGap+endMillSize)*column, (endMillGap+endMillSize)*row, height-endMillHeight/2]) cube([endMillSize, endMillSize, endMillHeight], true);
         }
     }

}

module roundedCube(xdim, ydim, zdim, rdim) {
    translate([-xdim/2,-ydim/2,0]){
        hull(){
            translate([rdim,rdim,0]) cylinder(r=rdim, h=zdim);
            translate([xdim-rdim,rdim,0]) cylinder(r=rdim, h=zdim);

            translate([rdim,ydim-rdim,0]) cylinder(r=rdim, h=zdim);
            translate([xdim-rdim,ydim-rdim,0]) cylinder(r=rdim, h=zdim);

        };
    };
};

```


[User]
I'd like to design a Celtic-style ring, and I've got some ideas about how it should look. I'd like it to be parametric, so I can easily adjust its size and features.

Here's the basic idea:

The ring should have an inner radius, a width, and a thickness that I can specify. I'd also like to control the depth of the decorative relief on the ring, relative to the thickness. And of course, I need to be able to control the smoothness of the model using segments per circle. I'll need the ability to set these parameters:

*   `radius`: The inner radius of the ring (in mm).
*   `width`: The overall width of the ring (in mm).
*   `thickness`: The thickness of the ring (in mm).
*   `depth`: The depth of the relief, specified as a fraction of the ring's thickness.
*   `smoothness`: The number of segments per circle to control the smoothness.

The ring will have decorative bands and an ornament.

The decorative bands will be raised from the ring body, and I want to control their width relative to the overall width of the ring. I'll need a parameter to set that:

*   `bwidth`: The relative width of the bands.

The ornament should consist of overlapping circles that create a Celtic knot-like pattern. These should also be raised from the ring body as a sort of relief. Here's what I'd like to control for the ornaments:

*   `linethickness`: The thickness of the lines used to create the ornament.
*   `circles`: The number of circles in the repeating pattern.
*   `overlap`: The amount of overlap between circles, as a fraction of their radius. This should allow for both overlapping and separated circles, so it should go from -1 to 1.
*   `rotation`: The angle of rotation for the ornaments (in degrees).
*  `sizecorrection`: A scaling factor to change the overall size of the ornament.
*   `density`: Controls how many rows of ornaments there are on the ring. A value of 0 should mean no ornaments, a value of 1 means a single row, and 2 should give two mirrored rows.
*  `divergency`: A number in mm that shifts the ornaments up or down, based on the rings midline.

I think that's everything. I would like you to produce one or more .scad files that can generate this parametric Celtic ring. I don't need any libraries for this. I'm excited to see what you come up with!

[Assistant]
celtic_ring.scad:
```

/* [Size] */

//Inner radius of the ring (mm)
radius=9;

//Width of the ring (mm)
width=10;

//Thickness of the ring (mm)
thickness=2.4;

//Depth of the relief (relative to thickness)
depth=0.15;          // [0:0.01:0.99]

//How smooth the model is (segments per circle)
smoothness=50;     // [4:1:200]

/* [Decoration] */

//Width of the bands (relative to height)
bwidth=0.3;        // [0:0.01:1]

//Thickness of the pen for drawing the ornaments (mm)
linethickness=0.7;

//Number of circles in the ornament
circles=3;           // [2:1:10]

//Overlap of the circles (relative to their radius)
overlap=0.2;       // [-1:0.01:1]

//Rotation of the ornament (degrees)
rotation=30;        // [0:1:360]

//Correction of the ornament size
sizecorrection=1.3; // [0.5:0.01:2]

//Density of the ornaments
density=2;   // [0:No Ornaments,1:Single row,2:Two mirrored rows]

//Correction of the position of the ornament row(s) [mm]
divergency=0.8;

$fn=smoothness;

module ring(r=25, h=5, t=2) {
       difference() {
         cylinder(r=r+t, h=h);
         translate([0,0,-1])
           cylinder(r=r, h=h+2);
       }
}

//overlap: -1 to 1  - how much the circles overlap
module circleflower(r=10, h=10, t=1, circles=3, overlap=0.3) {

  slice=360/circles;
  //calculate the actual size of the smaller circles:
  r=(r-2*t)/(2-overlap);

  intersection() {
    // cutting pattern
    for ( angle = [0 : slice : 360] ) {
      intersection() {
        rotate([0,0,angle]) {
          translate([r-r*overlap,0,0]) {
              cylinder(r=r+t, h=h);
          }
        }
        rotate([0,0,angle-slice]) {
          translate([r-r*overlap,0,0]) {
              cylinder(r=r+t, h=h);
          }
        }
      }
    }

    // overlaped circles
    for ( angle = [0 : slice : 360] ) {
      rotate([0,0,angle]) {
        translate([r-r*overlap,0,0]) {
          ring(r=r, h=h, t=t);
        }
      }
    }
  }
}

//circleflower(r=10, h=10, t=1, circles=3, overlap=0.3);

//bwidth 0..1  - band width
//bdepth 0..1  - band depth
module bandedring(r=25, h=5, t=2, bdepth=1, bwidth=0.3) {
    bwidthnum = h/2 * bwidth;
    bdepthnum = t * bdepth;

    difference() {
      ring(r=r, h=h, t=t);
      translate([0,0,bwidthnum])
        ring(r=r+t-bdepthnum,
            h=h-2*bwidthnum,
            t=t+1);
    }
}

//lt = line thickness
//offset = 0 to 1 : z-axis rotation of the pattern
module ringpattern(r=10, h=5, t=2, lt=1, circles=3, overlap=0.3, rotation=30, offset=0) {

    numflowers = round(2*PI*r/h);
    slice = 360 / numflowers;
    offset = slice*offset;

    intersection() {
      union() {

        for( angle = [0+offset: slice: 360+offset]) {

          rotate([0,0,angle])
          translate([0,-r,h/2])
          rotate([90,0,0])
          rotate([0,0,rotation])
            circleflower(r=h/2,
                    h=t,
                    t=lt,
                    circles=circles,
                    overlap=overlap);
        }
      }
      cylinder(r=r+t, h=h);
    }

}

module celticring(
  r=10,               // ring radius
  w=10,              // ring width
  t=3,                // thickness of the ring
  depth=0.2,         // depth of the pattern
  bwidth=0.3,        // rel. width of the bands
  divergency=0.8,    // up/down shift of the mirrored patterns
  sizecorrection=1.3, // rel. correction of the pattern size
  lt=0.7,             // line thickness for the pattern
  circles=3,          // num circles in the pattern
  overlap=0.2,       // overlap of the circles
  rotation=30,        // rotation of the pattern
  density=1   // double density of the pattern
) {

    patternh=(w-2*bwidth);
    patternhcor=patternh*sizecorrection;
    corshift=(patternhcor-patternh)/2;

        bandedring(r=r, h=w, t=t, bdepth=depth,
          bwidth=bwidth);

        if (density>0)
        translate([0,0,-divergency-corshift+bwidth])
        ringpattern(r=r, h=patternhcor, t=t, lt=lt,
          circles=circles, overlap=overlap,
          rotation=rotation);

        if (density>1)
        translate([0,0,divergency-corshift+bwidth])
        ringpattern(r=r, h=patternhcor, t=t, lt=lt,
          circles=circles, overlap=overlap,
          rotation=-rotation, offset=0.5);

}

celticring(
  r=radius, w=width, t=thickness, depth=depth,
  bwidth=bwidth, divergency=divergency,
  sizecorrection=sizecorrection,
  lt=linethickness, circles=circles, overlap=overlap,
  rotation=rotation, density=density
);

```


[User]
Okay, I'm looking to design a custom stand for a Med-E-Lert automatic pill dispenser, similar to the ones you see online but way cheaper and customizable. The idea is to have a base, a cradle to hold the dispenser, and maybe some end caps for the dispenser's protrusions, and optionally a small cup to catch the pills. The cradle needs to allow the user to tip the dispenser to dispense pills and silence the alarm.

I've got a few specific ideas for how I want it to work, and want to make sure we can adjust it later, so it needs to be fully parametric. Here’s what I’m thinking:

**Base:**

*   I need a flat, circular base that the rest of the structure will sit on. It should have a raised lip around the edge to catch the cradle.
*   I want to include square supports on each side that have rounded ends. These should also have a smaller cylinder going through them that is used for mounting the cradle. The user should be able to toggle them on or off.
*   I'd like the base to have a depression in the center to hold a small cup.

**Cradle:**

*   The cradle is meant to hold the Med-E-Lert dispenser securely. It should have a flat or slanted surface, depending on what the user prefers. The user should be able to switch between a flat position, a 30-degree slanted position, a 90-degree slanted position, or all three at once. The main point is that it needs to hold the dispenser stable while being able to tip it.
*   The cradle should have mounting points/holes to attach to the supports on the base.
*   There should be a rounded edge to the cradle that can fit into the circular lip of the base, so the cradle sits on top of the base.
* The user should be able to adjust the angle of the cradle - I'd like it to be flat, slanted at 30 degrees, or slanted at 90 degrees, with the option to show all three variations at once.

**End Caps:**

*   I want two small end caps to cover the protrusions on either side of the Med-E-Lert device. These can be fairly simple, like short cylinders with a hole in the middle.
*   The user should be able to toggle these on or off.
*   Include a tiny bit of tolerance, so perhaps two caps with slightly different inner diameters, for best fit.

**Cup:**

*   There should be a very basic pill cup that can sit in the depression on the base. It should have a rounded bowl shape and a flat base.
*   The cup should have two size options: "short" and "tall", with the short cup being shorter and wider. The user should be able to toggle the cup on or off.

**Disk:**

* A disk that can be used as a spacer on top of the cradle.
*   The user should be able to toggle it on or off.

**General Requirements:**

*   Everything needs to be parametric, so users can adjust the dimensions later if needed. This is super important!
*   I'd like to use the `rotate_extrude` function for the rounded parts, if possible.
*   I don't need anything from external libraries for this project. I'm looking for the simplest, easiest-to-understand code possible.
*   Please include comments throughout the code, explaining each section.

I know this is a lot, but I really appreciate the help. Let me know if you have any questions!

[Assistant]
e-med-dispenser_complete_with_stops2.scad:
```
$fn=500;
base="on"; //[off,on]
cradle="flat"; //[off,flat,slanted_30, slanted_90,all]
caps="on"; //[off,on]
cup="on"; //[on,off]
cup_style="tall"; //[short,tall]
disk="off"; //[on,off]

module Base(){
//base cylinder
	difference (){
		cylinder (d=215,h=2);
		//cylinder (d=65,h=2);
	}

//side squares

difference(){
		translate ([-104,-25,0]) cube ([2,50,125]);
		rotate ([90,90,90]) translate ([-65,26.5,-105]) scale ([ 6,1.8,2]) cylinder (r=7, h=2);
		rotate ([90,90,90]) translate ([-65,-26.5,-105]) scale ([ 6,1.8,2]) cylinder (r=7, h=2);
		rotate ([90,0,90]) translate ([0,125,-105]) cylinder (r=3.25, h=5);
	}
	rotate ([90,90,90]) translate ([-65,15,-104]) scale ([ 10,1.8,2]) cylinder (r=2, h=1);
	rotate ([90,90,90]) translate ([-65,-15,-104]) scale ([ 10,1.8,2]) cylinder (r=2, h=1);
difference(){
		translate ([102.5,-25,0]) cube ([2,50,125]);
		rotate ([90,90,90]) translate ([-65,26.5,101.5]) scale ([ 6,1.8,2]) cylinder (r=7., h=2);
		rotate ([90,90,90]) translate ([-65,-26.5,101.5]) scale ([ 6,1.8,2]) cylinder (r=7., h=2);
		//rotate ([90,90,90]) translate ([-30,0,102.5]) scale ([ 4,1.8,2]) cylinder (r=5, h=1);
		rotate ([90,0,90]) translate ([0,125,102]) cylinder (r=3.25, h=4);
	}
	rotate ([90,90,90]) translate ([-65,15,102.5]) scale ([ 10,1.8,2]) cylinder (r=2, h=1);
	rotate ([90,90,90]) translate ([-65,-15,102.5]) scale ([ 10,1.8,2]) cylinder (r=2, h=1);

//side rounds
	//left
	difference(){
		rotate ([90,0,90]) translate ([0,125,-104])
		scale ([ 4,1.8,2]) cylinder (r=6.25, h=1);
		rotate ([90,0,90]) translate ([0,125,-105]) cylinder (r=3.25, h=4);
	}
	//right
	difference(){
		rotate ([90,0,90]) translate ([0,125,102.5]) scale ([ 4,1.8,2]) cylinder (r=6.25, h=1);
		rotate ([90,0,90]) translate ([0,125,102]) cylinder (r=3.25, h=4);
	}

//Cup holder
	difference(){
		translate ([0,-0,0]) cylinder (r=20,h=8);
		translate ([0,-0,0]) cylinder (r=19,h=8.1);
	}

//supports
	translate ([99,-7,0]) cube ([5,14,85]);
	translate ([-103,-7,0]) cube ([5,14,85]);
	difference (){
		translate ([99,0,0]) cylinder (d=14,h=85);
		translate ([100,-7,0]) cube ([6,14,90]);
	}
	difference (){
		translate ([-99,0,0]) cylinder (d=14,h=85);
		translate ([-107,-7,0]) cube ([6,14,90]);
	}

//catch ring
	difference(){
			cylinder (d=215,h=14);
			cylinder (d=212.5,h=15);
	}
}

module cradle(){//mounting swing
	translate ([-102,-17.5,0]) cube ([204,35,4.5]);
	translate ([-102,-17.5,0]) cube ([2,35,22]);
    translate ([-102,0,7.5]) cube ([2,25.3,10]);
    translate ([-105,25.3,7.5]) cube ([5,3,10]);
	rotate ([90,0,90]) translate ([0,25,-102]) scale ([ 4,1.8,2]) cylinder (r=6.25, h=1);
	rotate ([90,0,90]) translate ([0,25,-109]) cylinder (r=2.55, h=9);
	translate ([102,-17.5,0]) cube ([2,35,22]);
    translate ([102,0,7.5]) cube ([2,25.3,10]);
    translate ([102,25.3,7.5]) cube ([5,3,10]);
	rotate ([90,0,90]) translate ([0,25,102]) scale ([ 4,1.8,2]) cylinder (r=6.25, h=1);
	rotate ([90,0,90]) translate ([0,25,102]) cylinder (r=2.55, h=9);
    cylinder (d=170,h=4.5);
}
//handle

	//finger ring
	module rounded(){
		translate([0,0,0]){
		rotate_extrude(convexity = 10, $fn = 100)
		translate([17, 0, 0])
		circle(r = 2, $fn = 100);
	}
}

module cradle(){//mounting swing
	translate ([-102,-17.5,0]) cube ([204,35,4.5]);
	translate ([-102,-17.5,0]) cube ([2,35,22]);
    translate ([-102,0,7.5]) cube ([2,25.3,10]);
    translate ([-105,25.3,7.5]) cube ([5,3,10]);
	rotate ([90,0,90]) translate ([0,25,-102]) scale ([ 4,1.8,2]) cylinder (r=6.25, h=1);
	rotate ([90,0,90]) translate ([0,25,-109]) cylinder (r=2.55, h=9);
	translate ([102,-17.5,0]) cube ([2,35,22]);
    translate ([102,0,7.5]) cube ([2,25.3,10]);
    translate ([102,25.3,7.5]) cube ([5,3,10]);
	rotate ([90,0,90]) translate ([0,25,102]) scale ([ 4,1.8,2]) cylinder (r=6.25, h=1);
	rotate ([90,0,90]) translate ([0,25,102]) cylinder (r=2.55, h=9);
    cylinder (d=170,h=4.5);
}
//handle

	//finger ring
	module rounded(){
		translate([0,0,0]){
		rotate_extrude(convexity = 10, $fn = 100)
		translate([17, 0, 0])
		circle(r = 2, $fn = 100);
	}
}
module Cradle(){
difference (){
    cradle();
    translate ([0,0,-.05]) cylinder (d=120,h=3.6);
    translate ([0,0,0]) cylinder (d1=120,d2=160,h=4.6);
}

	difference(){
		translate ([102,-10,35]) cube ([2,20,27]);
		rotate ([90,0,90]) translate ([0,70,101.5]) cylinder (r=15, h=3);
    }
	rotate ([90,0,90]) translate ([0,71,103]) rounded ();

}
module Cap (){
    difference (){
		translate ([10,0,0]) cylinder (r1=6.25,r2=3,h=5);
		translate ([10,0,-1]) cylinder (r=2.9, h=4.5);
	}
}
module Cup(){
     //Base bowl
	difference(){
		cylinder (r1=30,r2=40,h=12);
		translate ([0,0,6]) cylinder (r1=32,r2=40,h=7);
		translate ([0,0,1]) cylinder (r1=14,r2=17,h=12);
		translate ([0,0,-1,]) cylinder (r=21,h=6);
    }
if (cup_style=="tall") {
    difference (){
        translate ([0,0,11.5]) cylinder (r1=40, r2=43, h=12);
		translate ([0,0,11]) cylinder (r1=38, r2=41, h=13.5);
		}
	}
	difference (){
		cylinder (r=18,h=6);
		translate ([0,0,1]) cylinder (r1=14,r2=17,h=12);
	}
}

module Disk(){
    // r[adius], h[eight], [rou]n[d]
module rounded_cylinder(r,h,n) {
  rotate_extrude(convexity=1) {
    offset(r=n) offset(delta=-n) square([r,h]);
    square([n,h]);
  }
}

rounded_cylinder(r=101.5,h=38,n=18.5,$fn=200);
}

//done with modules
   //buildit

//base
if (base=="on") translate ([0,0,0]) Base();

//cradle
if (cradle=="flat") {translate ([-.75,0,100.25]) Cradle();
    if (disk=="on") translate ([0,0,103]) Disk();
}
//rotated cradle 30 degrees
if (cradle=="slanted_30"){ rotate ([30,0,0])translate ([0,62.75,83.25]) Cradle();
    //if (disk=="on") rotate ([30,0,0]) translate ([0,65,85]) cylinder (d=200,h=20);
    if (disk=="on") rotate ([30,0,0]) translate ([0,65,85]) Disk();
}
//rotated cradle 90 degrees
if (cradle=="slanted_90") {rotate ([90,0,0])translate ([0,125,-25]) Cradle();
    if (disk=="on") rotate ([90,0,0]) translate ([0,127,-23]) Disk();
}

//all
if (cradle=="all") {
    //flat
    translate ([0,0,100.25]) Cradle();
    //rotated cradle
    rotate ([30,0,0])translate ([0,62.75,83.25]) Cradle();
    // 90 degree
    rotate ([90,0,0])translate ([0,125,-25]) Cradle();
}

//caps
if (caps=="on"){
    rotate ([0,90,0]) translate ([-135.5,0,106.5]) Cap();
    rotate ([0,90,180]) translate ([-135.5,0,105.5]) Cap();
}
//cup
if (cup=="on"){
    translate ([ 0,0,2]) Cup();
}

```


[User]
I'm looking to create a parametric, asymmetric clamp for a 3D printer bed, specifically a glass bed. I need the design to be customizable so that I can tweak the dimensions for different printer setups.

Here's what I'm envisioning:

**Overall Structure:**

*   The clamp will have two main sides: a thicker side with a bolt hole and a thinner side that sits against the glass. The thinner side will also be reduced in depth so it doesn't stick out as far on the glass bed.
*   The design should allow for both rounded and square inner corners.
*   The clamp should have a bolt that threads into the thicker side and a press that sits on the bolt, pressing against the glass.
*   I'd like to be able to toggle visibility for the clamp, bolt, and press individually. There should also be an option to show the clamp assembled.

**Key Parameters:**

*   **Clamp Dimensions:**
    *   `clamp_length`: Overall length of the clamp.
    *   `clamp_width`: Overall width of the clamp.
    *   `clamp_depth`: Overall depth of the clamp.
    *   `clamp_thickness`: Thickness of the thicker side of the clamp. The thinner side should be half of this at a minimum.
    *   `bottom_reduction`:  The amount that the thinner side's depth is reduced
    *    `glass_corner_shape`: An option to have a rounded (0) or square (1) corner.
    *   `rounding`: The radius for rounded corners/edges.
    *   `roundedness`: How smooth the rounded edges are.
*   **Bolt:**
    *   `knob_length`: Length of the bolt's knob.
    *   `knob_diameter`: Diameter of the bolt's knob.
    *   `knob_knurled_finish`:  Density of the knurled texture on the knob.
    *   `screw_diameter`: Diameter of the screw threads.
    *   `screw_length_reduction`: Amount to shorten the screw to avoid hanging down excessively, also controls max object height.
    *    `assembled_screw_position`: Shows the assembled clamp with the bolt partially screwed in.
*   **Press:**
    *   `press_diameter`: Diameter of the press.
    *    `press_thickness`: Thickness of the press.
    *   `ball_and_socket_clearance`: Clearance for the ball-and-socket joint between the press and bolt.

**Additional Considerations:**

*   I need a way to adjust how tightly the threads mesh between the bolt and clamp. Let's call this `bolt_hole_space_factor`.
*   I'd like to use the `polyScrewThread_r1.scad` library for the threads and a `knurledFinishLib.scad` library for the knurled knob texture (if you can find it).
*   I need this to be parametric enough that I can change the clamp dimensions without causing the other parts to clip or fail, and with parameters in each piece, as this has been a problem with past attempts.
* I would like the threads, the knurled knob, and the ball joint to be separate modules so I can reuse them more easily.

Could you please generate the OpenSCAD files for this design? I don't need each individual part in its own file - but I would like the separate modules in case they might be useful later. Let me know if you need any further clarification.

[Assistant]
clampV3.4.8_asymmetric.scad:
```
// clamp customizable akaJes 2016 (c)
// tweaked for increasing thickness not affecting other parts, renamed dimensions, adjustable knurled finish, made more adjustments available and fixed warnings - 247generator 2018

// this code hack generates an asymmetric clamp for glass print beds

//include <polyScrewThread_r1.h>
//include <knurledFinishLib.h>

// preview[view:east]

/*[visibility]*/
//
show_clamp=1; //[0:No,1:Yes]
show_bolt=1; //[0:No,1:Yes]
show_press=1; //[0:No,1:Yes]
// do not create assembled for printing :)
show_assembled=1; //[0:No,1:Yes]
/*[clamp]*/
clamp_length=28;
clamp_width=30;
clamp_depth=40;
// minimum 10 (halved on bottom)
clamp_thickness=15;
// square is not as strong but fits better
glass_corner_shape=1;//[0:Round,1:Square]
// depth reduction for the glass side.
bottom_reduction=0;
// radius of ball that makes round edges
rounding=2;
// how smoothly rounded or polygonal the rounding is (24 is plenty)
roundedness=8; //[4:4:64]
// adjusts how tight the threads mesh - don't change unless it's too sloppy or tight. (4.3% x 18mm is a 0.774mm gap)
bolt_hole_space_factor=4.3;
/*[bolt]*/
knob_length=10;
knob_diameter=35;
// a lower number makes smaller points: 180 felt good, 250 is sharp but better grip, 400 previews quickly.
knob_knurled_finish=400;
screw_diameter=18;
// keeps the bolt from hanging down too far but limits it to clamping objects bigger this amount
screw_length_reduction=0;
// shows the preview opened by this much:
assembled_screw_position=0;
/*[press]*/
press_diameter=24;
// 2 is zero thickness for press diameter: reduction can help with clearance on shorter clamps with a wide enough screw.
press_thickness=5;//[2:5]
// 0.3mm fit snug and 0.6mm was too loose on my prints
ball_and_socket_clearance=0.3;

/*[hidden]*/
// resets the zoom every time, comment out or change as needed
//$vpd = 300;
radius=1.8; //rounded corners
diameter_ball=8; //and socket
screw_length=clamp_length+(clamp_thickness*1.5)-13-(rounding*3.5)-screw_length_reduction;
length=clamp_length-rounding*2;
width=clamp_width-rounding*2;
depth=clamp_depth-rounding*2;
thickness=clamp_thickness-rounding*2;
hole_shift=depth-min(clamp_width/2,depth/2);
screw_pos=assembled_screw_position;
knurled_finish=(knob_knurled_finish/100);

 if (show_assembled)rotate([0,0,-90]){
  base();
  translate([-knob_length-radius*thickness-rounding-screw_pos,hole_shift,clamp_width/2]){
    rotate([0,90,0])bolt();
    translate([knob_length+screw_length+5+8,0,0])rotate([0,-90,0])press();
  }
}else{
  if(show_clamp)
    base();
  if(show_press)
    translate([max(30,knob_diameter),depth+20,0])press();
  if(show_bolt)
    translate([0,depth+max(20,knob_diameter*0.75),0])bolt();
}

module corner(tr){
  intersection(){
    difference(){
        // outside corner
      cylinder(r=tr,h=width,$fn=64);
      translate([0,0,-.1])
        // inside corner
        cylinder(r=thickness*(radius-1),h=width+.2,$fn=32);
    }
    translate([-tr,-tr,0])cube([tr,tr,width]);
  }
}
module acorner(tr){
    ti=thickness*(radius-1);
    echo ("corner outside diameter",tr*2);
    echo ("corner inside diameter",ti*2);
  intersection(){
    difference(){
        // outside corner
      cylinder(r=tr,h=width,$fn=64);
        // inside corner
      translate([0,-rounding-thickness/2,-.1])
        cylinder(r=ti,h=width+.2,$fn=32);
        // make the corner square option
              translate([-(ti/2),-(ti/2)-rounding-thickness/2,(width/2)-.1])
        // for square corner option
        cube([ti*glass_corner_shape,ti*glass_corner_shape,glass_corner_shape*(width+.2)],center=true);
        // remove the remaining inside corner for asym corner
        translate([-ti,(-ti/1.5)-rounding,0]) cube([ti,ti*1.5,width]);
    }
    translate([-tr,-tr,0])cube([tr,tr,width]);
  }
}
module base(){
  translate([0,0,rounding])
    difference(){
    minkowski(){
        //union(){
      tr=thickness*radius;
      ti=thickness*(radius-1);
        union(){
            // top corner
        corner(tr);
            // top flat
        translate([-tr,0,0])cube([thickness,depth,width]);
            // side flat
        translate([0,-tr,0])cube([length-ti*2,thickness,width]);
            // bottom corner
        translate([length-ti*2,0,0])rotate([0,0,90])acorner(tr);
            // bottom flat
            difference(){
                translate([length-ti+(clamp_thickness/2),0,0])cube([clamp_thickness/2-rounding*2,depth,width]);
                translate([length-ti+(clamp_thickness/8),clamp_depth-rounding-bottom_reduction,0])cube([clamp_thickness,bottom_reduction,width]);
                }
                }
      sphere(r=rounding,$fn=roundedness);
    }
    translate([0.1-clamp_thickness*0.8+rounding*2+(rounding*0.6),hole_shift,width/2])rotate([0,-90,0])
    {
        screw_thread(screw_diameter+((bolt_hole_space_factor/100)*screw_diameter),4,55,clamp_thickness+0.2,PI/2,2);
        translate ([0,0,0.2]) hex_countersink_ends(1.5,screw_diameter,55,2,clamp_thickness-0.2);
    }
  }       // hex_countersink_ends(chg=countersink height(thread step/2),cod=thread outer diameter,clf=thread step degrees,crs=resolution,hg=nut height);

}
module bolt(){
    knurled_cyl(knob_length, knob_diameter, knurled_finish, knurled_finish, 1, 2, 10);
    translate([0,0,knob_length]) screw_thread(screw_diameter,4,55,screw_length,PI/2,2);
    translate([0,0,knob_length+screw_length])cylinder(h=6,d=6,$fn=30);
    translate([0,0,knob_length+screw_length+5])sphere(d=diameter_ball,$fn=32);
}
module rounded(h=5,d=20,r=2){
  translate([0,0,r])
    minkowski(){
      cylinder(d=d-r*2,h=h-r*2, $fn=64);
      sphere(r=r, $fn=roundedness);
    }
}
module press(){
    $fn=32;
    difference(){
      union(){
        rounded(h=press_thickness,d=press_diameter,r=1);
        rounded(h=10,d=14,r=1);
        }
      translate([0,0,10-2])sphere(d=diameter_ball+ball_and_socket_clearance);
      for (i=[0,120,240])
        translate([0,0,6.5])rotate([90,0,90+i])hull(){
          cylinder(d=3,h=10);
          translate([0,5,0])cylinder(d=3,h=10);
        }
    }
}

/*
 * knurledFinishLib.scad
 *
 * Written by aubenc @ Thingiverse
 *
 * This script is licensed under the Public Domain license.
 *
 * http://www.thingiverse.com/thing:9095
 *
 * Usage:
 *
 *    knurled_cyl( Knurled cylinder height,
 *                 Knurled cylinder outer diameter,
 *                 Knurl polyhedron width,
 *                 Knurl polyhedron height,
 *                 Knurl polyhedron depth,
 *                 Cylinder ends smoothed height,
 *                 Knurled surface smoothing amount );
 */
module knurled_cyl(chg, cod, cwd, csh, cdp, fsh, smt)
{
    cord=(cod+cdp+cdp*smt/100)/2;
    cird=cord-cdp;
    cfn=round(2*cird*PI/cwd);
    clf=360/cfn;
    crn=ceil(chg/csh);

    intersection()
    {
        shape(fsh, cird, cord-cdp*smt/100, cfn*4, chg);

        translate([0,0,-(crn*csh-chg)/2])
          knurled_finish(cord, cird, clf, csh, cfn, crn);
    }
}

module shape(hsh, ird, ord, fn4, hg)
{
        union()
        {
            cylinder(h=hsh, r1=ird, r2=ord, $fn=fn4, center=false);

            translate([0,0,hsh-0.002])
              cylinder(h=hg-2*hsh+0.004, r=ord, $fn=fn4, center=false);

            translate([0,0,hg-hsh])
              cylinder(h=hsh, r1=ord, r2=ird, $fn=fn4, center=false);
        }

}

module knurled_finish(ord, ird, lf, sh, fn, rn)
{
    for(j=[0:rn-1])
    {
    h0=sh*j;
    h1=sh*(j+1/2);
    h2=sh*(j+1);
        for(i=[0:fn-1])
        {
            lf0=lf*i;
            lf1=lf*(i+1/2);
            lf2=lf*(i+1);
            polyhedron(
                points=[
                     [ 0,0,h0],
                     [ ord*cos(lf0), ord*sin(lf0), h0],
                     [ ird*cos(lf1), ird*sin(lf1), h0],
                     [ ord*cos(lf2), ord*sin(lf2), h0],

                     [ ird*cos(lf0), ird*sin(lf0), h1],
                     [ ord*cos(lf1), ord*sin(lf1), h1],
                     [ ird*cos(lf2), ird*sin(lf2), h1],

                     [ 0,0,h2],
                     [ ord*cos(lf0), ord*sin(lf0), h2],
                     [ ird*cos(lf1), ird*sin(lf1), h2],
                     [ ord*cos(lf2), ord*sin(lf2), h2]
                    ],
                faces=[
                     [0,1,2],[2,3,0],
                     [1,0,4],[4,0,7],[7,8,4],
                     [8,7,9],[10,9,7],
                     [10,7,6],[6,7,0],[3,6,0],
                     [2,1,4],[3,2,6],[10,6,9],[8,9,4],
                     [4,5,2],[2,5,6],[6,5,9],[9,5,4]
                    ],
                convexity=5);
         }
    }
}

/*
 *    polyScrewThread_r1.scad    by aubenc @ Thingiverse
 *
 * This script contains the library modules that can be used to generate
 * threaded rods, screws and nuts.
 *
 * http://www.thingiverse.com/thing:8796
 *
 * CC Public Domain
 */

module screw_thread(od,st,lf0,lt,rs,cs)
{
    or=od/2;
    ir=or-st/2*cos(lf0)/sin(lf0);
    pf=2*PI*or;
    sn=floor(pf/rs);
    lfxy=360/sn;
    ttn=round(lt/st+1)+1;
    zt=st/sn;

    intersection()
    {
        if (cs >= -1)
        {
           thread_shape(cs,lt,or,ir,sn,st);
        }

        full_thread(ttn,st,sn,zt,lfxy,or,ir);
    }
}

module hex_nut(df,hg,sth,clf,cod,crs)
{

    difference()
    {
        hex_head(hg,df);

        hex_countersink_ends(sth/2,cod,clf,crs,hg);

        screw_thread(cod,sth,clf,hg,crs,-2);
    }
}

module hex_screw(od,st,lf0,lt,rs,cs,df,hg,ntl,ntd)
{
    ntr=od/2-(st/2)*cos(lf0)/sin(lf0);

    union()
    {
        hex_head(hg,df);

        translate([0,0,hg])
        if ( ntl == 0 )
        {
            cylinder(h=0.01, r=ntr, center=true);
        }
        else
        {
            if ( ntd == -1 )
            {
                cylinder(h=ntl+0.01, r=ntr, $fn=floor(od*PI/rs), center=false);
            }
            else if ( ntd == 0 )
            {
                union()
                {
                    cylinder(h=ntl-st/2,
                             r=od/2, $fn=floor(od*PI/rs), center=false);

                    translate([0,0,ntl-st/2])
                    cylinder(h=st/2,
                             r1=od/2, r2=ntr,
                             $fn=floor(od*PI/rs), center=false);
                }
            }
            else
            {
                cylinder(h=ntl, r=ntd/2, $fn=ntd*PI/rs, center=false);
            }
        }

        translate([0,0,ntl+hg]) screw_thread(od,st,lf0,lt,rs,cs);
    }
}

module hex_screw_0(od,st,lf0,lt,rs,cs,df,hg,ntl,ntd)
{
    ntr=od/2-(st/2)*cos(lf0)/sin(lf0);

    union()
    {
        hex_head_0(hg,df);

        translate([0,0,hg])
        if ( ntl == 0 )
        {
            cylinder(h=0.01, r=ntr, center=true);
        }
        else
        {
            if ( ntd == -1 )
            {
                cylinder(h=ntl+0.01, r=ntr, $fn=floor(od*PI/rs), center=false);
            }
            else if ( ntd == 0 )
            {
                union()
                {
                    cylinder(h=ntl-st/2,
                             r=od/2, $fn=floor(od*PI/rs), center=false);

                    translate([0,0,ntl-st/2])
                    cylinder(h=st/2,
                             r1=od/2, r2=ntr,
                             $fn=floor(od*PI/rs), center=false);
                }
            }
            else
            {
                cylinder(h=ntl, r=ntd/2, $fn=ntd*PI/rs, center=false);
            }
        }

        translate([0,0,ntl+hg]) screw_thread(od,st,lf0,lt,rs,cs);
    }
}

module thread_shape(cs,lt,or,ir,sn,st)
{
    if ( cs == 0 )
    {
        cylinder(h=lt, r=or, $fn=sn, center=false);
    }
    else
    {
        union()
        {
            translate([0,0,st/2])
              cylinder(h=lt-st+0.005, r=or, $fn=sn, center=false);

            if ( cs == -1 || cs == 2 )
            {
                cylinder(h=st/2, r1=ir, r2=or, $fn=sn, center=false);
            }
            else
            {
                cylinder(h=st/2, r=or, $fn=sn, center=false);
            }

            translate([0,0,lt-st/2])
            if ( cs == 1 || cs == 2 )
            {
                  cylinder(h=st/2, r1=or, r2=ir, $fn=sn, center=false);
            }
            else
            {
                cylinder(h=st/2, r=or, $fn=sn, center=false);
            }
        }
    }
}

module full_thread(ttn,st,sn,zt,lfxy,or,ir)
{
  if(ir >= 0.2)
  {
    for(i=[0:ttn-1])
    {
        for(j=[0:sn-1])
        {
			 pt =  [	[0,                  0,                  i*st-st            ],
                        [ir*cos(j*lfxy),     ir*sin(j*lfxy),     i*st+j*zt-st       ],
                        [ir*cos((j+1)*lfxy), ir*sin((j+1)*lfxy), i*st+(j+1)*zt-st   ],
								[0,0,i*st],
                        [or*cos(j*lfxy),     or*sin(j*lfxy),     i*st+j*zt-st/2     ],
                        [or*cos((j+1)*lfxy), or*sin((j+1)*lfxy), i*st+(j+1)*zt-st/2 ],
                        [ir*cos(j*lfxy),     ir*sin(j*lfxy),     i*st+j*zt          ],
                        [ir*cos((j+1)*lfxy), ir*sin((j+1)*lfxy), i*st+(j+1)*zt      ],
                        [0,                  0,                  i*st+st            ]	] ;

            polyhedron(points=pt,
              		  faces=[	[1,0,3],[1,3,6],[6,3,8],[1,6,4],
											[0,1,2],[1,4,2],[2,4,5],[5,4,6],[5,6,7],[7,6,8],
											[7,8,3],[0,2,3],[3,2,7],[7,2,5]	]);
        }
    }
  }
  else
  {
    echo("Step Degrees too agresive, the thread will not be made!!");
    echo("Try to increase de value for the degrees and/or...");
    echo(" decrease the pitch value and/or...");
    echo(" increase the outer diameter value.");
  }
}

module hex_head(hg,df)
{
	rd0=df/2/sin(60);
	x0=0;	x1=df/2;	x2=x1+hg/2;
	y0=0;	y1=hg/2;	y2=hg;

	intersection()
	{
	   cylinder(h=hg, r=rd0, $fn=6, center=false);

		rotate_extrude(convexity=10, $fn=6*round(df*PI/6/0.5))
		polygon([ [x0,y0],[x1,y0],[x2,y1],[x1,y2],[x0,y2] ]);
	}
}

module hex_head_0(hg,df)
{
    cylinder(h=hg, r=df/2/sin(60), $fn=6, center=false);
}

module hex_countersink_ends(chg,cod,clf,crs,hg)
{
    translate([0,0,-0.1])
    cylinder(h=chg+0.01,
             r1=cod/2,
             r2=cod/2-(chg+0.1)*cos(clf)/sin(clf),
             $fn=floor(cod*PI/crs), center=false);

    translate([0,0,hg-chg+0.1])
    cylinder(h=chg+0.01,
             r1=cod/2-(chg+0.1)*cos(clf)/sin(clf),
             r2=cod/2,
             $fn=floor(cod*PI/crs), center=false);
}

```


[User]
Hi, I'd like to design a small parts organizer using OpenSCAD. I'm envisioning a modular system where I can easily change the number of drawers, the overall width, and depth. I've been playing around with some designs, and I've got a good idea of what I want, but I need your help putting it all together parametrically.

Here's what I'm thinking:

**Cabinet:**

*   The cabinet will be a rectangular box, essentially.
*   The height will be determined by the number of drawers, plus some extra space for the top and bottom.
*   The width will be determined by the number of columns of drawers (I want to have the option of a single column or multiple side-by-side).
*   The depth should be adjustable.
*   I want nubs on the bottom for stacking with other identical cabinets, and indentions on the top for the same reason.
*   I'd like to have diamond-shaped holes along the sides of the cabinet for ventilation or just for aesthetics.
*   The cutouts for the drawers should be sized to accommodate the drawers I'm also designing, with a small gap/tolerance.
*   There should be small nubs inside the drawer cutouts to help hold the drawers in place.

**Drawers:**

*   I'm planning on having several different types of drawers, but all drawers should share the same external dimensions so they are interchangeable within the cabinet.
*   I have a few variations in mind:
    *   A simple, empty drawer with no internal dividers
    *   A drawer with a single vertical divider
    *   A drawer with two vertical dividers
    *   A drawer with three vertical dividers
    *   A drawer with a single vertical divider down the middle and a horizontal divider across the drawer (making four compartments)
*   Each drawer should have a handle/pull. It should have a bit of a lip at the front so that it's easy to grab.
*   The drawers need to be slightly smaller than the drawer cutouts in the cabinet to ensure they slide in and out easily.

**Parameters:**

I need to be able to easily adjust these parameters:

*   `NUMBER_DRAWERS`: Number of drawers in the vertical direction.
*   `CABINET_COLLUMNS`: Number of columns of drawers horizontally.
*   `DRAWER_HEIGHT`: The height of each drawer.
*   `DRAWER_WIDTH`: The width of each drawer. This will also determine the width of the cabinet.
*   `CABINET_DEPTH`: The depth of the cabinet and the drawers.

I'd like for the drawer types to be separate .scad files. For example, `drawer_1.scad`, `drawer_2.scad`, etc. The main cabinet can be in `cabinet.scad`.

I'm not using any libraries right now but it would be fine if you use `MCAD` or `BOSL2`.

Could you help me create these files?

[Assistant]
Cabinet.scad:
```
// Customizable parts bin
// by Brian Blankenship
//

NUMBER_DRAWERS = 5; // [1:1:15]
CABINET_COLLUMNS = 1; // [1:1:8]

DRAWER_HEIGHT = 25;
DRAWER_WIDTH = 100; // adjustable from ~30-200
CABINET_DEPTH = 80;  // adjustable from ~50-200

HEIGHT = NUMBER_DRAWERS * (DRAWER_HEIGHT + 4) + 2;
WIDTH = DRAWER_WIDTH * CABINET_COLLUMNS;

$fn=90;

// main cabinet
difference() {

    // additions
    union() {
        cube([(NUMBER_DRAWERS * (DRAWER_HEIGHT + 4)) + 2,DRAWER_WIDTH * CABINET_COLLUMNS, CABINET_DEPTH]);

            // Bottom nubs for stacking
            translate([.2,5,5]) sphere(1.4);
            translate([.2,5,CABINET_DEPTH-5]) sphere(1.4);
            translate([.2,WIDTH-5,5]) sphere(1.4);
            translate([.2,WIDTH-5,CABINET_DEPTH-5]) sphere(1.4);
            }

    union() {
        for (COLLUMN = [0:CABINET_COLLUMNS-1]) {
            for (DRAWER = [0:NUMBER_DRAWERS-1]) {
                // drawer cut outs
                translate([((DRAWER_HEIGHT + 2) * DRAWER) + (DRAWER + 1) * 2, 2 + (DRAWER_WIDTH * COLLUMN), 2]) cube([DRAWER_HEIGHT + 2, (DRAWER_WIDTH) - 4,CABINET_DEPTH + 2]);
            }

        }

        // diamond holes in left/right sides
        for (HOLE = [7:10:(CABINET_DEPTH - 10)]) {

            for (DRAWER = [0:NUMBER_DRAWERS-1]) {
                // right side diamond holes
                translate([((DRAWER_HEIGHT + 2 ) * DRAWER) + (DRAWER + 1) * 2 + 5, -1, HOLE]) rotate([0,45,0]) cube([4,4,4]);
                translate([((DRAWER_HEIGHT + 2 ) * DRAWER) + (DRAWER + 1) * 2 + 12, -1,HOLE + 5]) rotate([0,45,0]) cube([4,4,4]);
                translate([((DRAWER_HEIGHT + 2 ) * DRAWER) + (DRAWER + 1) * 2 + 19, -1, HOLE]) rotate([0,45,0]) cube([4,4,4]);
                // left side diamond holes
                translate([((DRAWER_HEIGHT + 2 ) * DRAWER) + (DRAWER + 1) * 2 + 5, DRAWER_WIDTH * CABINET_COLLUMNS -3, HOLE ]) rotate([0,45,0]) cube([4,4,4]);
                translate([((DRAWER_HEIGHT + 2 ) * DRAWER) + (DRAWER + 1) * 2 + 12, DRAWER_WIDTH * CABINET_COLLUMNS - 3, HOLE + 5]) rotate([0,45,0]) cube([4,4,4]);
                translate([((DRAWER_HEIGHT + 2 ) * DRAWER) + (DRAWER + 1) * 2 + 19, DRAWER_WIDTH * CABINET_COLLUMNS - 3, HOLE])     rotate([0,45,0]) cube([4,4,4]);
            }
        }

        // Top indentions for stacking
        translate([HEIGHT,5,5]) sphere(1.5);
        translate([HEIGHT,5,CABINET_DEPTH-5]) sphere(1.5);
        translate([HEIGHT,WIDTH-5,5]) sphere(1.5);
        translate([HEIGHT,WIDTH-5,CABINET_DEPTH-5]) sphere(1.55);

    }

}

for (COLLUMN = [0:CABINET_COLLUMNS-1]) {
    // bottom nubs to keep drawers in
    for (NUB = [0:NUMBER_DRAWERS -1]) {
        translate([((DRAWER_HEIGHT + 2) * NUB) + (NUB + 1) * 2, (DRAWER_WIDTH / 2) + (DRAWER_WIDTH * COLLUMN), CABINET_DEPTH -2]) sphere(1.2);
    }

    // top nubs to keep drawers in
    for (NUB = [1:NUMBER_DRAWERS]) {
        translate([((DRAWER_HEIGHT + 2) * NUB) + (NUB) * 2 - .2, (DRAWER_WIDTH / 5)  + (DRAWER_WIDTH * COLLUMN), CABINET_DEPTH -4]) sphere(2.2);
        translate([((DRAWER_HEIGHT + 2) * NUB) + (NUB) * 2 - .2, (DRAWER_WIDTH / 5) * 4 + (DRAWER_WIDTH * COLLUMN), CABINET_DEPTH -4]) sphere(2.2);
    }
}

```
Drawer_3.scad:
```
$fn = 45;

DRAWER_HEIGHT = 25;
CABINET_WIDTH = 100; // adjustable from ~30-200
CABINET_DEPTH = 80;  // adjustable from ~50-200

// drawer 1, 2 dividers
difference() {
    translate([0,0,0]) cube([CABINET_WIDTH - 6, CABINET_DEPTH - 3, DRAWER_HEIGHT]);
    translate([2,2,2]) cube([CABINET_WIDTH - 10, CABINET_DEPTH - 7, DRAWER_HEIGHT]);
    translate([(CABINET_WIDTH / 2) - 2, 3, -1]) sphere(2);
}

// dividers
    translate([(CABINET_WIDTH / 3) - 3,2,0]) cube([2, CABINET_DEPTH - 7, DRAWER_HEIGHT]);
    translate([(CABINET_WIDTH / 3) * 2 - 3,2,0]) cube([2, CABINET_DEPTH - 7, DRAWER_HEIGHT]);

// pull handle
translate([(CABINET_WIDTH / 2) - 12,-9,(DRAWER_HEIGHT / 3)]) cube([20, 10, 2]);
translate([(CABINET_WIDTH / 2) - 12,-9,(DRAWER_HEIGHT / 3) -1]) cube([20, 2, 4]);

```
Drawer_2.scad:
```
$fn = 45;

DRAWER_HEIGHT = 25;
CABINET_WIDTH = 100; // adjustable from ~30-200
CABINET_DEPTH = 80;  // adjustable from ~50-200

// drawer 2, single divider
difference() {
    translate([0,0,0]) cube([CABINET_WIDTH - 6, CABINET_DEPTH - 3, DRAWER_HEIGHT]);
    translate([2,2,2]) cube([CABINET_WIDTH - 10, CABINET_DEPTH - 7, DRAWER_HEIGHT]);
    translate([(CABINET_WIDTH / 2) - 2, 3, -1]) sphere(2);
}

// divider
difference() {
    translate([(CABINET_WIDTH / 2) - 3,2,0]) cube([2, CABINET_DEPTH - 7, DRAWER_HEIGHT]);
    translate([(CABINET_WIDTH / 2) - 2, 3, 0]) sphere(2);
}
// pull handle
translate([(CABINET_WIDTH / 2) - 12,-9,(DRAWER_HEIGHT / 3)]) cube([20, 10, 2]);
translate([(CABINET_WIDTH / 2) - 12,-9,(DRAWER_HEIGHT / 3) -1]) cube([20, 2, 4]);

```
Drawer_4.scad:
```
$fn = 45;

DRAWER_HEIGHT = 25;
CABINET_WIDTH = 100; // adjustable from ~30-200
CABINET_DEPTH = 80;  // adjustable from ~50-200

// drawer 4, 3 dividers
difference() {
    translate([0,0,0]) cube([CABINET_WIDTH - 6, CABINET_DEPTH - 3, DRAWER_HEIGHT]);
    translate([2,2,2]) cube([CABINET_WIDTH - 10, CABINET_DEPTH - 7, DRAWER_HEIGHT]);
    translate([(CABINET_WIDTH / 2) - 2, 3, -1]) sphere(2);
}

// dividers
    translate([(CABINET_WIDTH / 4) - 4,2,0]) cube([2, CABINET_DEPTH - 7, DRAWER_HEIGHT]);
    difference() {
        translate([(CABINET_WIDTH / 4) * 2 - 4, 2,0]) cube([2, CABINET_DEPTH - 7, DRAWER_HEIGHT]);
        translate([(CABINET_WIDTH / 2) - 2, 3, -1]) sphere(2);
    }
    translate([(CABINET_WIDTH / 4) * 3 - 4,2,0]) cube([2, CABINET_DEPTH - 7, DRAWER_HEIGHT]);

// pull handle
translate([(CABINET_WIDTH / 2) - 12,-9,(DRAWER_HEIGHT / 3)]) cube([20, 10, 2]);
translate([(CABINET_WIDTH / 2) - 12,-9,(DRAWER_HEIGHT / 3) -1]) cube([20, 2, 4]);

```
Drawer_1.scad:
```
$fn = 45;

DRAWER_HEIGHT = 25;
CABINET_WIDTH = 100; // adjustable
CABINET_DEPTH = 80;  // adjustable

// drawer 1, no dividers
difference() {
    translate([0,0,0]) cube([CABINET_WIDTH - 6, CABINET_DEPTH - 3, DRAWER_HEIGHT]);
    translate([2,2,2]) cube([CABINET_WIDTH - 10, CABINET_DEPTH - 7, DRAWER_HEIGHT]);
    translate([(CABINET_WIDTH / 2) - 2, 3, -1]) sphere(2.0);
}

// pull handle
translate([(CABINET_WIDTH / 2) - 12,-9,(DRAWER_HEIGHT / 3)]) cube([20, 10, 2]);
translate([(CABINET_WIDTH / 2) - 12,-9,(DRAWER_HEIGHT / 3) -1]) cube([20, 2, 4]);

```
Drawer_5.scad:
```
$fn = 45;

DRAWER_HEIGHT = 25;
CABINET_WIDTH = 100; // adjustable from ~30-200
CABINET_DEPTH = 80;  // adjustable from ~50-200

// drawer 5, 4 sectons
difference() {
    translate([0,0,0]) cube([CABINET_WIDTH - 6, CABINET_DEPTH - 3, DRAWER_HEIGHT]);
    translate([2,2,2]) cube([CABINET_WIDTH - 10, CABINET_DEPTH - 7, DRAWER_HEIGHT]);
    translate([(CABINET_WIDTH / 2) - 2, 3, -1]) sphere(2);
}

// dividers
    difference() {
        translate([(CABINET_WIDTH / 2) - 4, 2,0]) cube([2, CABINET_DEPTH - 7, DRAWER_HEIGHT]);
        translate([(CABINET_WIDTH / 2) - 2, 3, -1]) sphere(2);
    }
    translate([0,CABINET_DEPTH / 2 - 4,0]) cube([CABINET_WIDTH - 7, 2,DRAWER_HEIGHT -2]);

// pull handle
translate([(CABINET_WIDTH / 2) - 12,-9,(DRAWER_HEIGHT / 3)]) cube([20, 10, 2]);
translate([(CABINET_WIDTH / 2) - 12,-9,(DRAWER_HEIGHT / 3) -1]) cube([20, 2, 4]);

```


[User]
Hey, I'm looking for an OpenSCAD design for a customizable bit holder, ideally with a cap. I've seen a few designs online but want something that I can easily adjust for different bit quantities and sizes. I'm envisioning a circular base with hexagonal bit slots and a snap-on cap to keep everything secure.

Specifically, I'd like to be able to change the following parameters:

*   **`dia`**: The inner diameter of the holder. Changing this would effectively change the number of bit slots available.
*   **`rb`**: The radial distance between the bit slots - effectively spacing between hexes.
*   **`ft`**: The floor thickness, basically the thickness of the base and the cap's 'ceiling' (where it mates with the base).
*   **`cwt`**: The cover wall thickness - the thickness of the sidewall of the cap.
*   **`db`**: The diameter of a bit slot (which should have some clearance for easy insertion/removal), though I don't need to set that directly - a good default (8.1mm) plus a little extra should be sufficient.
*   **`hb`**: The height of the bit slots (again, I don't need to set directly - a good default height that can fit standard bits like 25mm long or so would work).

I would also like the design to include:

*   A base with a circular lip (small chamfer around the base and walls).
*   Hexagonal bit slots arranged in a circular pattern based on the `dia` parameter.
*   A cap with a matching lip to snap onto the base (a bayonet style twist lock would be preferred, if possible).
*   Some clearance built into the cap's bit slots so that there's no interference from the hexes.
*  The ability to set `$fn` for resolution.

I don't need any debug modes or any special flags.  Could you generate the necessary OpenSCAD file(s) for this? I'm not sure if you'll need any libraries, but if you do, please be sure to mention them, along with their specific function.

[Assistant]
Bit-Halterung.scad:
```
// -----------------------------------------------------
// Bit-Halterung
//
//  Detlev Ahlgrimm, 29.11.2018
// -----------------------------------------------------

// what to render
part=1;     // [0:debug, 1:base, 2:cap, 3:cut-debug]

// inner diameter
dia=95;    // [25:180]

// distance between bits
rb=5;       // [1:0.1:10]

// floor thickness (base+cap)
ft=1;       // [0.5:0.1:5]

// cover wall thickness
cwt=1.5;    // [1:0.05:4]

// debug rotate
dr=0;       // [0:120]
// debug height cap
dh=0;       // [0:20]

/* [Hidden] */
$fn=100;
db=8.1;   // Durchmesser eines Bits (inkl. Spiel)
hb=26;    // Hoehe eines Bits (inkl. Spiel)

// -----------------------------------------------------
//  Liefert true, wenn der Kreis mit dem Radius ri an
//  den Koordinaten [x,y] in dem Kreis mit dem Radius
//  ra liegt.
// -----------------------------------------------------
function KreisInKreis(x, y, ri, ra) = sqrt(x*x + y*y)+ri < ra;

// -----------------------------------------------------
//    v : Abmessungs-Vektor
//    r : Radius der Aussparungen
//    w : Wandstaerke zwischen den Aussparungen
//    i : invertieren (true:Sechseck-Umrandungen, false:Sechsecke)
//    a : anschraegen 45 Grad (bei true)
//   cd : Aussparung muss vollstaendig innerhalb Kreis-Durchmesser cd liegen
// -----------------------------------------------------
module HexPatternV2centered(v, r=10, w=1, i=true, a=false, cd=0) {
  dx=r*1.5;
  dy=r*0.866025;      // 0.866025=sqrt(3)/2
  sy=(i) ? -0.1 : 0;
  az=(i) ? 0.2 : 0;
  r1=(a) ? r-w/2-(v.z+0.2) : r-w/2;

  intersection() {
    difference() {
      if(i) translate([-v.x/2, -v.y/2, 0]) cube(v);
      for(yi=[-floor((v.y/dy+1)/2) : 1 : (v.y/dy+1)/2]) {
        for(xi=[-floor((v.x/(2*dx)+1)/2) : 1 : (v.x/(2*dx)+1)/2]) {
          if(cd==0 || KreisInKreis(xi*2*dx+(yi%2)*dx, yi*dy, r, cd/2)) {
            translate([xi*2*dx+(yi%2)*dx, yi*dy, sy]) cylinder(r1=r1, r2=r-w/2, h=v.z+az, $fn=6);
          }
        }
      }
    }
    if(!i) translate([-v.x/2, -v.y/2, 0]) cube(v);
  }
}

// -----------------------------------------------------
//  r : Radius
//  h : Hoehe (>=2)
// -----------------------------------------------------
module AngefasterCylinder(r, h) {
  hull() rotate_extrude() translate([r, 0, 0]) polygon([ [-1,0], [0,1], [0,h-1], [-1,h] ]);
}

// -----------------------------------------------------
//
// -----------------------------------------------------
module Base() {
  difference() {
    union() {
      AngefasterCylinder(r=(dia+6)/2+cwt+2, h=3);
      AngefasterCylinder(r=(dia+6)/2, h=ft+10);
    }
    translate([0, 0, ft]) HexPatternV2centered([dia, dia, 10.2], cd=dia, r=(db+rb)/2, w=rb, i=false);
    translate([0, 0, 3]) BajonettSchneider();
  }
}

// -----------------------------------------------------
//
// -----------------------------------------------------
module BajonettSchneider() {
  difference() {
    rotate_extrude() translate([(dia+6)/2, 0, 2]) polygon([ [0.01,0], [-2,0], [-2,3], [0.01,5] ]);
    for(a=[0:120:359]) rotate([0, 0, a]) {
      translate([0, 0, -0.1]) cube([(dia+6)/2+0.1, 8, 7.2]);
      difference() {
        translate([(dia+6)/4, 2, -0.1]) cylinder(r=(dia+6)/4, h=5.2);
        translate([0, -(dia+6)/4, -0.2]) cube([(dia+6)/2, (dia+6)/4, 5.4]);
      }
    }
  }
  for(a=[0:120:359]) rotate([0, 0, a])
    translate([0, 0, 3]) intersection() {
      difference() {
        cylinder(d=dia+6.1, h=ft+6);
        translate([0, 0, -0.1]) cylinder(d=dia+6-4, h=ft+6.2);
      }
      translate([0, -9, -0.1]) cube([(dia+6.1)/2+0.2, 9, ft+6.2]);
    }
}
//!BajonettSchneider();

// -----------------------------------------------------
//
// -----------------------------------------------------
module Deckel() {
  difference() {
    union() {
      cylinder(d=dia+6+0.6+2*cwt, h=ft+hb-3);
      translate([0, 0, ft+hb-3]) cylinder(d1=dia+6+0.6+2*cwt, d2=dia+6+0.6+2*cwt-2*ft, h=ft);
    }
    translate([0, 0, -0.1]) cylinder(d=dia+6+0.6, h=ft+hb-3);
  }
  intersection() {
    translate([0, 0, 0]) rotate_extrude() translate([(dia+6+0.6)/2, 0, 0]) polygon([ [0.1,0], [-2,0], [-2,3], [0.1,5] ]);
    for(a=[0:120:359]) rotate([0, 0, a])
      translate([0, -8, -0.1]) cube([(dia+6+0.6+0.2)/2, 7, 7.2]);
  }
  translate([0, 0, ft+hb-3]) rotate_extrude() translate([(dia+6+0.6)/2, 0, 0]) polygon([ [0.1,0], [0.1,-ft], [-ft,0] ]);
}

if(part==0) {
  render() Base();
  translate([0, 0, 3.1+dh]) rotate([0, 0, -dr]) Deckel();
} else if(part==1) {
  render() Base();
} else if(part==2) {
  translate([0, 0, hb+2*ft]) rotate([180, 0, 0]) Deckel();
} else if(part==3) {
  render() difference() {
    union() {
      rotate([0, 0, dr]) Base();
      translate([0, 0, 3.1+dh]) Deckel();
      %translate([0, 0, ft+0.1]) cylinder(d=db, h=hb-0.2);
    }
    translate([-dia, -dia-4, -1]) cube([2*dia, dia, 40]);
  }
}

```


[User]
I'd like to create a parametric model rocket nose cone generator using OpenSCAD. I need the ability to create a variety of nose cone shapes, and also have some control over the dimensions for each type, as well as the body tube size.

Specifically, I need to support the following nose cone types:

*   Basic Cone
*   Blunt Cone
*   Parabolic Cone
*   Sears-Haack Cone
*   Power Series Cone
*   Elliptical Cone
*   Secant Ogive Cone
*   Tangent Ogive Cone
*   Blunt Tangent Ogive Cone
*   Biconic Cone

I need to be able to specify the following parameters:

*   `Tube_Outside_Diameter` (in mm) - the outside diameter of the body tube the nose cone will fit onto.
*   `Tube_Inside_Diameter` (in mm) - the inside diameter of the body tube, used to create a sleeve to fit inside the body tube.
*   `Cone_Type` (integer) - to select the nose cone type from the list above (using the order listed as integers from 1 to 10).
*   `Cone_Height` (in mm) - the overall height of the nose cone.
*   `Parameter_A` - A modifier that varies by cone type (see details below).  The units for Parameter_A will depend on the specific cone type.
*  `Parameter_B` - A modifier used only by the Biconic Cone type.

Here are the type-specific details for `Parameter_A`:
*   **Blunt Cone:** Defines the nose radius (R_nose). It should be used as a scalar multiplier, e.g. `R_nose = Parameter_A*.08`.
*   **Parabolic Cone:** Defines the parabola factor (K). It should be used as a scalar multiplier, e.g. `K = Parameter_A*.01`.
*   **Sears-Haack Cone:** Defines the constant C. It should be used as a scalar multiplier, e.g. `C = Parameter_A*.1`.
*   **Power Series Cone:** Defines the power series exponent (n). It should be used as a scalar multiplier, e.g. `n = Parameter_A*.01`.
*   **Secant Ogive Cone:** Used to calculate radius for ogive: `rho = Cone_Height*.6+Parameter_A*Tube_Outside_Diameter/2`
*   **Blunt Tangent Ogive Cone:** Defines the nose radius (R_nose). It should be used as an addition modifier like so: `R_nose = 1+Parameter_A*.08`.
*   **Biconic Cone:** Controls the position of the biconic split point on the cone and it's used as a percentage where, e.g. `L1 = Cone_Height*(Parameter_A/100)`, and `L2 = Cone_Height*(1-(Parameter_A/100))`. `Parameter_B` should be used like so: `R_nose = Tube_Outside_Diameter+(Tube_Outside_Diameter*Parameter_B/100)-Tube_Outside_Diameter/2`

For the sleeve that connects to the body tube, make sure it has a small lip and some radial cuts to help with printing and to ensure a good fit. Also, please be sure to use `$fn = 100` for smooth curves.

I'd like the final output to be a single solid object. I think that means the nose cone and the sleeve need to be combined using a `union()`.

[Assistant]
nosecone_factory.scad:
```
// nosecone_factory.scad
// library for parametric model rocket nosecone
// Author: Tony Z. Tonchev, Michigan (USA)
// last update: November 2018

// Body tube OUTSIDE diameter (in mm)
Tube_Outside_Diameter = 19; //

// Body tube INSIDE diameter (in mm)
Tube_Inside_Diameter = 18; //

// Nosecone Type (See List Below)
Cone_Type = 8; // [1:Basic Cone,2:Blunt Cone,3:Parabolic Cone,4:SEARS-HAACK Cone,5:Power Series Cone,6:Eliptical Cone,7:Secant Ogive Cone,8:Tangent Ogive Cone,9:Blunt Tangent Ogive Cone,10:Biconic Cone]

// Nosecone height (in mm)
Cone_Height = 60; //

// Modifies some types (Blunt, Parabolic, SEARS-HAACK, Power Series, Secant Ogive, Blunt Tangent Ogive and Biconic)
Parameter_A = 50; // [1:100]

// Modifies some types (Biconic)
Parameter_B = 50; // [1:100]

/* [Hidden] */

TZT_TOR=Tube_Outside_Diameter/2;
TZT_TIR=Tube_Inside_Diameter/2;
TZT_HGT=Cone_Height;
TZT_PA=Parameter_A;
TZT_PB=Parameter_B;
$fn=100;
TZT_fn=$fn;

union () {
    TZT_Sleave ();
    if (Cone_Type==1) {
        cone_cone(R = TZT_TOR, L = TZT_HGT, s = TZT_fn);
    } else if (Cone_Type==2) {
        cone_blunted(R = TZT_TOR, R_nose = TZT_PA*.08, L = TZT_HGT, s = TZT_fn);
    } else if (Cone_Type==3) {
        cone_parabolic(R = TZT_TOR, L = TZT_HGT, K = TZT_PA*.01, s = TZT_fn);
    } else if (Cone_Type==4) {
        cone_haack(C = TZT_PA*.1, R = TZT_TOR, L = TZT_HGT, s = TZT_fn);
    } else if (Cone_Type==5) {
        cone_power_series(n = TZT_PA*.01, R = TZT_TOR, L = TZT_HGT, s = TZT_fn);
    } else if (Cone_Type==6) {
        cone_elliptical(R = TZT_TOR, L = TZT_HGT, s = TZT_fn);
    } else if (Cone_Type==7) {
        cone_ogive_sec(rho = TZT_HGT*.6+TZT_PA*TZT_TOR, R = TZT_TOR, L = TZT_HGT, s = TZT_fn);
    } else if (Cone_Type==8) {
        cone_ogive_tan(R = TZT_TOR, L = TZT_HGT, s = TZT_fn);
    } else if (Cone_Type==9) {
        cone_ogive_tan_blunted(R_nose = 1+TZT_PA*.08, R = TZT_TOR, L = TZT_HGT, s = TZT_fn);
    } else if (Cone_Type==10) {
        cone_biconic(R = TZT_TOR, R_nose = TZT_TOR+(TZT_TOR*TZT_PB/100)-TZT_TOR/2, L1 = TZT_HGT*(TZT_PA/100), L2 = TZT_HGT*(1-(TZT_PA/100)), s = TZT_fn);
    }
}

module TZT_Sleave () {
    translate ([0,0,-TZT_TOR+TZT_TIR]) cylinder (TZT_TOR-TZT_TIR,TZT_TIR,TZT_TOR);
    translate ([0,0,-TZT_TIR*2]) {
        difference () {
            cylinder (TZT_TIR*2,TZT_TIR,TZT_TIR);
            translate ([0,0,-TZT_TIR*.1]) cylinder (TZT_TIR*2.1,TZT_TIR*.9,0);
        }
        translate ([0,0,TZT_TIR*.2]) {
            for (TZT_i=[0:90:90]) {
                rotate ([0,90,TZT_i]) cylinder (TZT_TIR*1.9,TZT_TIR*.1,TZT_TIR*.1,true);
                rotate ([0,90,TZT_i]) translate ([TZT_TIR*.1,0,0]) cube ([TZT_TIR*.2,TZT_TIR*.2,TZT_TIR*1.9],true);
            }
        }
    }
}

// ----------------------------------------------------------------------------------
// Everything below is mostly pickup (albeit cleaned up) of work done by Garrett Goss
// ----------------------------------------------------------------------------------

//  NOSE CONE LIBRARY, version 1.0
//  by Garrett Goss, 2015, published 9/16

// 1
module cone_cone (R = 5, L = 10, s = 500){
    cylinder(h = L, r1 = R, r2 = 0, center = false, $fn = s);
}

// 2
module cone_blunted (R = 5, R_nose = 2, L = 15, s = 500) {
    x_t = (pow(L,2) / R) * sqrt(pow(R_nose,2) / (pow(R,2) + pow(L,2)));
    y_t = x_t * (R/L);
    x_o = x_t + sqrt(pow(R_nose,2) - pow(y_t,2));
    x_a = x_o - R_nose;
    TORAD = PI/180;
    TODEG = 180/PI;
    inc = 1/s;
    s_x_t = round((s * x_t) / L);
    rotate_extrude(convexity = 10, $fn = s) {
        union () {
            for (i = [s_x_t : s]) {
                x_last = L * (i - 1) * inc;
                x = L * i * inc;
                y_last = x_last * (R/L);
                y = x * (R / L);
                rotate([0, 0, -90]) polygon(points = [[x_last - L, 0], [x - L, 0], [x - L, y], [x_last - L, y_last]], convexity = 10);
            }
            translate ([0, L-x_o, 0]) difference () {
                circle(R_nose, $fn = s);
                translate([-R_nose, 0, 0]) square((2 * R_nose), center = true);
            }
        }
    }
}

// 3
module cone_parabolic (R = 5, L = 10, K = 0.5, s = 500) {
    if (K >= 0 && K <= 1) {
        inc = 1/s;
        rotate_extrude(convexity = 10, $fn = s) {
            for (i = [1 : s]){
                x_last = L * (i - 1) * inc;
                x = L * i * inc;
                y_last = R * ((2 * ((x_last)/L)) - (K * pow(((x_last)/L), 2))) / (2 - K);
                y = R * ((2 * (x/L)) - (K * pow((x/L), 2))) / (2 - K);
                polygon (points = [[y_last, 0], [y, 0], [y, L - x], [y_last, L - x_last]], convexity = 10);
            }
        }
    }
}

// 4
module cone_haack (C = 0, R = 5, L = 10, s = 500) {
    TORAD = PI/180;
    TODEG = 180/PI;
    inc = 1/s;
    rotate_extrude(convexity = 10, $fn = s) {
        for (i = [1 : s]){
            x_last = L * (i - 1) * inc;
            x = L * i * inc;
            theta_last = TORAD * acos((1 - (2 * x_last/L)));
            y_last = (R/sqrt(PI)) * sqrt(theta_last - (sin(TODEG * (2*theta_last))/2) + C * pow(sin(TODEG * theta_last), 3));
            theta = TORAD * acos(1 - (2 * x/L));
            y = (R/sqrt(PI)) * sqrt(theta - (sin(TODEG * (2 * theta)) / 2) + C * pow(sin(TODEG * theta), 3));
            rotate([0, 0, -90]) polygon(points = [[x_last - L, 0], [x - L, 0], [x - L, y], [x_last - L, y_last]], convexity = 10);
        }
    }
}

// 5
module cone_power_series (n = 0.5, R = 5, L = 10, s = 500) {
    inc = 1/s;
    rotate_extrude (convexity = 10, $fn = s) {
        for (i = [1 : s]){

            x_last = L * (i - 1) * inc;
            x = L * i * inc;

            y_last = R * pow((x_last/L), n);
            y = R * pow((x/L), n);

            rotate([0, 0, 90]) polygon(points = [[0,y_last],[0,y],[L-x,y],[L-x_last,y_last]], convexity = 10);
        }
    }
}

// 6
module cone_elliptical(n = 0.5, R = 5, L = 10, s = 500){
    inc = 1/s;
    rotate_extrude(convexity = 10, $fn = s) {
        for (i = [1 : s]) {
            x_last = L * (i - 1) * inc;
            x = L * i * inc;
            y_last = R * sqrt(1 - pow((x_last/L), 2));
            y = R * sqrt(1 - pow((x/L), 2));
            rotate([0,0,90]) polygon(points = [[0, y_last], [0, y], [x, y], [x_last, y_last]], convexity = 10);
        }
    }
}

// 7
module cone_ogive_sec (rho = 8, R = 5, L = 10, s = 500) {
    TORAD = PI/180;
    TODEG = 180/PI;
    inc = 1/s;
    alpha = TORAD * atan(R/L) - TORAD * acos(sqrt(pow(L,2) + pow(R,2)) / (2*rho));
    rotate_extrude(convexity = 10, $fn = s) {
        for (i = [1 : s]){
            x_last = L * (i - 1) * inc;
            x = L * i * inc;
            y_last = sqrt(pow(rho,2) - pow((rho * cos(TODEG*alpha) - x_last), 2)) + (rho * sin(TODEG*alpha));
            y = sqrt(pow(rho,2) - pow((rho * cos(TODEG*alpha) - x), 2)) + (rho * sin(TODEG*alpha));
            rotate([0, 0, -90]) polygon(points = [[x_last - L, 0], [x - L, 0], [x - L, y], [x_last - L, y_last]], convexity = 10);
        }
    }
}

// 8
module cone_ogive_tan (R = 5, L = 10, s = 500) {
    rho = (pow(R,2) + pow(L,2)) / (2 * R);
    inc = 1/s;
    rotate_extrude(convexity = 10, $fn = s) {
        for (i = [1 : s]){
            x_last = L * (i - 1) * inc;
            x = L * i * inc;
            y_last = sqrt(pow(rho,2) - pow((L - x_last), 2)) + R - rho;
            y = sqrt(pow(rho,2) - pow((L - x), 2)) + R - rho;
            rotate([0, 0, -90]) polygon(points = [[x_last - L, 0], [x - L, 0], [x - L, y], [x_last - L, y_last]], convexity = 10);
        }
    }
}

// 9
module cone_ogive_tan_blunted (R_nose = 2, R = 5, L = 10, s = 500) {
    rho = (pow(R,2) + pow(L,2)) / (2*R);
    x_o = L - sqrt(pow((rho - R_nose), 2) - pow((rho - R), 2));
    x_a = x_o - R_nose;
    y_t = (R_nose * (rho - R)) / (rho - R_nose);
    x_t = x_o - sqrt(pow(R_nose, 2)- pow(y_t, 2));
    TORAD = PI/180;
    TODEG = 180/PI;
    inc = 1/s;
    s_x_t = round((s * x_t) / L);
    alpha = TORAD * atan(R/L) - TORAD * acos(sqrt(pow(L,2) + pow(R,2)) / (2*rho));
    rotate_extrude(convexity = 10, $fn = s) union() {
        for (i=[s_x_t:s]){
            x_last = L * (i - 1) * inc;
            x = L * i * inc;
            y_last = sqrt(pow(rho,2) - pow((rho * cos(TODEG * alpha) - x_last),2)) + (rho * sin(TODEG * alpha));
            y = sqrt(pow(rho,2) - pow((rho * cos(TODEG * alpha) - x),2)) + (rho * sin(TODEG * alpha));
            rotate([0,0,-90])polygon(points = [[x_last-L,0],[x-L,0],[x-L,y],[x_last-L,y_last]], convexity = 10);
        }
        translate([0, L - x_o, 0]) difference(){
            circle(R_nose, $fn = s);
            translate([-R_nose, 0, 0]) square((2 * R_nose), center = true);
        }
    }
}

// 10
module cone_biconic (R = 5, R_nose = 3, L1 = 6, L2 = 4, s = 500) {
    L = L1 + L2;
    s_intermediate = s * (L2/L);
    inc = 1/s;
    rotate_extrude(convexity = 10, $fn = s) translate([0, L, 0]) rotate([0, 0, -90]) union() {
        for (i = [1 : s_intermediate]){
            x_last = L * (i - 1) * inc;
            x = L * i * inc;
            y_last = x_last * (R_nose/L2);
            y = x * (R_nose/L2);
            polygon(points = [[x_last, 0], [x_last, y_last], [x, y], [x, 0]], convexity = 10);
        }
        for (i=[s_intermediate:s]){
            x_last = L * (i - 1) * inc;
            x = L * i * inc;
            y_last = R_nose + ((x_last - L2) * (R - R_nose)) / L1;
            y = R_nose + ((x - L2) * (R - R_nose)) / L1;
            polygon(points = [[x_last, 0], [x_last, y_last], [x, y], [x, 0]], convexity = 10);
        }
    }
}
```


[User]
I'm looking to create a customizable container with a bayonet-style lid, and I want the whole design to be parametric in OpenSCAD. I saw a design that's close to what I want, but it's a bit clunky and the compartments are hardcoded. I'd like to have a bit more flexibility.

Here are the key features I need:

*   **Container Base:**
    *   I need to be able to set the inner diameter of the base.
    *   I need to set the inner height of the base.
    *   I need to control the floor thickness.
    *   I need to control the wall thickness.
    *   I'd like a way to add internal features, like compartments, and the way to do that shouldn't be inside the main base module. I'd like a separate module called `BaseInwards` that is easily configurable and the base module should simply "include" it.

*   **Bayonet Lid:**
    *   The lid should have a bayonet-style connection to securely attach to the base.
    *   I need to be able to set the inner height of the lid.
    *   I need to control the floor and wall thickness of the lid, and those should be able to be different than the base.

*   **General:**
    *   All the dimensions should be adjustable via variables.
    *   I'd like separate modules for the base, the lid, and the bayonet feature generation. That makes it more readable and maintainable.
     *   The code should be well-commented and easy to understand, so that I can modify it in the future. I'm fairly new to OpenSCAD.
    *   The design should be optimized for 3D printing (no unnecessary overhangs, etc.).

I think that's about it. Can you generate the OpenSCAD code for this? I'd really appreciate it.

[Assistant]
Dose_mit_Bajonett-Verschluss.scad:
```
// -----------------------------------------------------
// Dose mit Bajonett-Verschluss
//    .... als Spin-Off meiner Bit-Halterung
//
//  Detlev Ahlgrimm, 30.11.2018
// -----------------------------------------------------

// what to render
part=1;     // [1:base, 2:cap, 3:cut-debug]

// inner diameter (base)
dia=95;     // [25:180]

// inner height (base)
ihb=20;     // [10:100]

// inner height (cap)
ihc=0;      // [0:100]

// floor thickness (base, cap)
ft=1;       // [0.5:0.05:5]

// wall thickness (base, cap)
wt=1.5;    // [1:0.05:4]

// debug rotate
dr=0;       // [0:120]
// debug height cap
dh=0;       // [0:20]

/* [Hidden] */
$fn=100;

// -----------------------------------------------------
//  Hier koennen die Innerein der Base() eingestellt
//  werden!
// -----------------------------------------------------
module BaseInwards() {
  //translate([-wt/2, -dia/2, 0]) cube([wt, dia, ihb]);
  //translate([-dia/2, -wt/2, 0]) cube([dia, wt, ihb]);
}

// -----------------------------------------------------
//  ri  : Innenradius ( max(Aussenradius)==ri+wt+2 )
//  h   : Hoehe ( >=9 )
// -----------------------------------------------------
module BasisWand(ri, h) {
  rotate_extrude() translate([ri, 0, 0]) polygon([ [0,0], [wt,wt], [wt,h-8-2], [wt+2,h-8], [wt+2, h-1], [wt+1, h], [0,h] ]);
}

// -----------------------------------------------------
//
// -----------------------------------------------------
module Base() {
  difference() {
    union() {
      BasisWand(dia/2, ft+ihb);   // Wand
      cylinder(d=dia, h=ft);      // Boden
      translate([0, 0, ft]) rotate_extrude() translate([dia/2, 0, 0]) polygon([ [0.1,0], [-1,0], [0.1,1] ]);
    }
    translate([0, 0, ft+ihb-7]) BajonettSchneider(dia/2+wt+2);
  }
  translate([0, 0, ft]) intersection() {
    union() {
      translate([0, 0, -0.1]) cube([1, 1, 0.1]);  // Dummy
      BaseInwards();
    }
    cylinder(d=dia, h=ihb);
  }
}

// -----------------------------------------------------
//  r : Aussenradius (Innenradius==r-2)
//  h : Hoehe
// -----------------------------------------------------
module BajonettSchneider(r, h=10) {
  difference() {
    rotate_extrude() translate([r, 0, 2]) polygon([ [0.1,0], [-2,0], [-2,3], [0.1,5] ]);
    for(a=[0:120:359]) rotate([0, 0, a]) {
      translate([0, 0, -0.1]) cube([r+0.2, 8, 5.2]);
      difference() {
        translate([r/2, 2, -0.1]) cylinder(r=r/2, h=5.2);
        translate([0, -r/2, -0.2]) cube([r, r/2, 5.4]);
      }
    }
  }
  for(a=[0:120:359]) rotate([0, 0, a])
    translate([0, 0, 3]) intersection() {
      difference() {
        cylinder(r=r+0.1, h=h-3);
        translate([0, 0, -0.1]) cylinder(r=r-2, h=h+0.2);
      }
      translate([0, -9, 0]) rotate([0, 90, 0]) linear_extrude(r+0.2) polygon([ [0,0], [-(h-3),-2], [-(h-3),11], [0,9] ]);
    }
}
//!BajonettSchneider(dia/2, 10);

// -----------------------------------------------------
//
// -----------------------------------------------------
module Deckel() {
  difference() {
    cylinder(r=dia/2+wt+2+0.5+wt, h=7.3+ihc);
    translate([0, 0, -0.1]) cylinder(r=dia/2+wt+2+0.5, h=7.3+ihc+0.2);
  }
  intersection() {
    rotate_extrude() translate([dia/2+wt+2+0.8, 0, 0]) polygon([ [0.1,0], [-2,0], [-2,3], [0.1,5] ]);
    for(a=[0:120:359]) rotate([0, 0, a])
      translate([0, -8, -0.1]) cube([dia/2+wt+2+0.81, 7, 7.2]);
  }
  translate([0, 0, 7.3+ihc]) {
    rotate_extrude() translate([dia/2+wt+2+0.5, 0, 0]) polygon([ [0.1,0], [0.1,-1], [-1,0] ]);
    cylinder(r1=dia/2+wt+2+0.5+wt, r2=dia/2+wt+2+0.5+wt-ft, h=ft);
  }
  rotate_extrude() translate([dia/2+wt+2+0.5, 0, 0]) polygon([ [0,0], [0,-1], [0.5,-1], [wt,0] ]);
}

if(part==1) {
  render() Base();
} else if(part==2) {
  translate([0, 0, 7.3+ihc+ft]) rotate([180, 0, 0]) Deckel();
} else if(part==3) {
  render() difference() {
    union() {
      rotate([0, 0, dr]) Base();
      translate([0, 0, ft+ihb-7+0.1+dh]) Deckel();
    }
    translate([-dia, -dia-4, -1]) cube([2*dia, dia, ft+ihb+8+ihc+ft+dh]);
  }
}

```


[User]
I'd like to create a custom 3D shape using OpenSCAD, and I need a bit of a complex extrusion. I've seen some code that does what I want, but I'd really like to generate it from scratch.

Essentially, I want to define a 2D shape and then "extrude" it along a helical path. This would be similar to `rotate_extrude` but with a few added twists (literally!). The key features are:

*   **Helical Path:** The 2D shape should sweep along a helix, meaning it both rotates around a central axis *and* moves along that axis. I need control over how much it rotates and how much it shifts along the axis (the "offset").
*   **Radius Control:** I want to control the radius of the helix. Also, I'd like to be able to *scale* the radius of the rotation as the shape is extruded, so the helix can either spiral inwards or outwards.
*   **Shape Scaling:** I'd like the 2D shape itself to be scaled as it's extruded along the helix. This would let me make the shape bigger or smaller as it spirals around.
*   **Shape Twisting:** I need to twist the 2D shape as it's extruded along the path. This will add another dimension to the complexity.
*   **Shape Operations:** I need to be able to union, difference, and intersect shapes along the helical path. This is really important for creating complex non-convex shapes from basic convex 2D shapes.

To be clear:
* I don't want to use linear_extrude at all for this design, other than maybe for some helper function. I want the shape to follow the helical path, not just a straight line.
* I need this to be a single function I can call which takes parameters for the extrusion, and another to define the shape which I'm extruding.
* I would like to be able to define the number of segments used when doing this rotation, but have that default to something reasonable.

For the 2D shape that I am extruding, I need to be able to define both:
* Predefined shapes, such as a circle, square, diamond (rotated square), a cross, a semicircle combined with a square, and a tube (circle minus another circle)
* A custom polygon defined by a list of points

As a nice extra:
* A simple spring example might be nice, which uses this function. It should be possible to set the diameter, wire diameter, length, and a number of closely packed coils at the end. It would be nice to adjust the spring spacing, too.
* It would also be cool to do a Moebius strip using this function.
* Finally, an ouroboros - a tube that swallows itself, would be a fun (though likely unprintable) demonstration of the power of this design.

[Assistant]
rotate-extrude-helix.scad:
```
// Create an equivalent for rotate_extrude that does spirals
// This also allows sweeping of an angle, as that is only supported on
// versions after 2015.03, of which there are none
// Creative Commons - Attribution - Share Alike License
// http://creativecommons.org/licenses/by-sa/3.0/

/* [Parameters] */
// Angle to sweep through
angle = 720;
// Amount to offset the spiral over the entire sweep
offset = 50;
// Radius of sweep rotation
spiral_radius = 50;
// Scale radius during sweep
scale_radius = 1.5;
// Width of shape
shape_width = 10;
// Scale shape during sweep
scale_shape = 2.0;
// Twist shape during sweep
twist_angle = 720;
// Shape to extrude
join_type = "union"; // [union:Join child shapes,difference:Subtract later child shapes from the first one,intersection:Find the intersection of thechild shapes]
shape = "moebius"; // [semicircle:Semicircle(demonstrates intersection),square:Square(simple shape),diamond:Diamond(demonstrates simple rotated shape),tube:Tube(demonstrates difference),moebius:Moebius strip,ouroboros:Tube that swallows itself(unprintable but fun),spring:Spring(complex example),custom:Custom shape]
/* [Spring] */
// Diameter of Spring
spring_diameter = 30;
// Length of Spring
spring_length = 100;
// Diameter of Spring wire
spring_wire_diameter = 5;
// Number of close-packed coils at each end
spring_end_coils = 1.5;
// Spacing of middle coils (Approximate)
spring_spacing = 15;
/* [Custom] */
// Custom shape
custom_polygon = [[[-4,-4],[-4,4],[4,4],[4,-4]],[[0,1,2,3]]]; // [draw_polygon:10x10]

/* [Hidden] */
outer_circularity = 36;
inner_circularity = 12;

maxValue = 10000;

if (shape == "ouroboros") {
  rotate_extrude_helix(angle = 720, radius = spiral_radius, scaleRadius = 1, scaleShape = 8, twistAngle = 0, offset = 0, center = false, joinType = "difference") {
    circle(r = shape_width / 2);
    circle(r = shape_width / 2.5);
  }
} else if (shape == "spring") {
  shape_spring(diameter = spring_diameter, wireDiameter = spring_wire_diameter, length = spring_length, endCoils = spring_end_coils, coilSpacing = spring_spacing);
} else if (shape == "semicircle") {
  rotate_extrude_helix(angle = angle, radius = spiral_radius, scaleRadius = scale_radius, scaleShape = scale_shape, twistAngle = twist_angle, offset = offset, center = false, joinType = "intersection") {
    circle(r = shape_width / 2);
    translate([shape_width / 2, 0, 0]) {
      square(size = shape_width, center = true);
    }
  }
} else if (shape == "circle") {
  rotate_extrude_helix(angle = angle, radius = spiral_radius, scaleRadius = scale_radius, scaleShape = scale_shape, twistAngle = twist_angle, offset = offset, center = false, joinType = join_type) {
    circle(r = shape_width / 2);
  }
} else if (shape == "moebius") {
  rotate_extrude_helix(angle = 360, radius = spiral_radius, twistAngle = 180, center = false, joinType = join_type) {
    square(size = [shape_width, 3 * shape_width], center = true);
  }
} else if (shape == "square") {
  rotate_extrude_helix(angle = angle, radius = spiral_radius, scaleRadius = scale_radius, scaleShape = scale_shape, twistAngle = twist_angle, offset = offset, center = false, joinType = join_type) {
    square(size = shape_width, center = true);
  }
} else if (shape == "cross") {
  rotate_extrude_helix(angle = angle, radius = spiral_radius, scaleRadius = scale_radius, scaleShape = scale_shape, twistAngle = twist_angle, offset = offset, center = false, joinType = join_type) {
    square(size = [shape_width, shape_width / 3], center = true);
    square(size = [shape_width / 3, shape_width], center = true);
  }
} else if (shape == "diamond") {
  rotate_extrude_helix(angle = angle, radius = spiral_radius, scaleRadius = scale_radius, scaleShape = scale_shape, twistAngle = twist_angle, offset = offset, center = false, joinType = join_type) {
    rotate([0, 0, 45]) {
      square(size = shape_width / sqrt(2), center = true);
    }
  }
} else if (shape == "custom") {
  rotate_extrude_helix(angle = angle, radius = spiral_radius, scaleRadius = scale_radius, scaleShape = scale_shape, twistAngle = twist_angle, offset = offset, center = false, joinType = join_type) {
    for(poly = [custom_polygon[1]]) {
      polygon(custom_polygon[0], poly);
    }
  }
} else if (shape == "tube") {
  rotate_extrude_helix(angle = angle, radius = spiral_radius, scaleRadius = scale_radius, scaleShape = scale_shape, twistAngle = twist_angle, offset = offset, center = false, joinType = "difference") {
    circle(r = shape_width / 2);
    circle(r = shape_width / 2.5);
  }
}

module segment(radius, segmentIndex, deltaAngle, deltaOffset, deltaScaleShape, deltaScaleRadius, deltaTwistAngle, subtract = false) {
  angle1 = segmentIndex * deltaAngle - (subtract ? 0.01 : 0);
  offset1 = segmentIndex * deltaOffset;
  scaledRadius1 = (1.0 + segmentIndex * deltaScaleRadius) * radius;
  scaledScale1 = 1.0 + segmentIndex * deltaScaleShape;
  scaledTwist1 = segmentIndex * deltaTwistAngle;
  angle2 = (segmentIndex + 1) * deltaAngle + (subtract ? 0.01 : 0);
  offset2 = (segmentIndex + 1) * deltaOffset;
  scaledRadius2 = (1.0 + (segmentIndex + 1) * deltaScaleRadius) * radius;
  scaledScale2 = 1.0 + (segmentIndex + 1) * deltaScaleShape;
  scaledTwist2 = (segmentIndex + 1) * deltaTwistAngle;
  hull() {
    translate([0, 0, offset1]) {
      rotate([0, 0, angle1]) {
        rotate([90, 0, 0]) {
          linear_extrude(height = .01, center = true) {
            translate([scaledRadius1, 0, 0]) {
              scale([scaledScale1, scaledScale1, 1]) {
                rotate([0, 0, scaledTwist1]) {
                  children();
                }
              }
            }
          }
        }
      }
    }
    translate([0, 0, offset2]) {
      rotate([0, 0, angle2]) {
        rotate([90, 0, 0]) {
          linear_extrude(height = .01, center = true) {
            translate([scaledRadius2, 0, 0]) {
              scale([scaledScale2, scaledScale2, 1]) {
                rotate([0, 0, scaledTwist2]) {
                  children();
                }
              }
            }
          }
        }
      }
    }
  }
}

module rotate_extrude_helix(angle = 360, radius = 0, offset = 0, scaleShape = 1.0, scaleRadius = 1.0, twistAngle = 0, center = false, $fn = outer_circularity, joinType = "union") {
  n = max(2, ceil($fn * abs(angle) / 360));

  deltaAngle = angle / n;
  deltaTwistAngle = twistAngle / n;
  deltaOffset = offset / n;
  deltaScaleRadius = (scaleRadius - 1.0) / n;
  deltaScaleShape = (scaleShape - 1.0) / n;

  translate([0, 0, center ? -offset / 2 : 0]) {
    union() {
      if ($children > 0) {
        for (i = [0 : n - 1]) {
          if (joinType == "difference") {
            difference() {
              segment(radius, segmentIndex = i, deltaAngle = deltaAngle, deltaOffset = deltaOffset, deltaScaleShape = deltaScaleShape, deltaScaleRadius = deltaScaleRadius, deltaTwistAngle = deltaTwistAngle) {
                children(0);
              }
              if ($children > 1) {
                for (childIndex = [1 : $children - 1]) {
                  segment(radius, segmentIndex = i, deltaAngle = deltaAngle, deltaOffset = deltaOffset, deltaScaleShape = deltaScaleShape, deltaScaleRadius = deltaScaleRadius, deltaTwistAngle = deltaTwistAngle, subtract = true) {
                    children(childIndex);
                  }
                }
              }
            }
          } else if (joinType == "intersection") {
            intersection_for(childIndex = [0 : $children - 1]) {
              segment(radius, segmentIndex = i, deltaAngle = deltaAngle, deltaOffset = deltaOffset, deltaScaleShape = deltaScaleShape, deltaScaleRadius = deltaScaleRadius, deltaTwistAngle = deltaTwistAngle) {
                children(childIndex);
              }
            }
          } else {
            union() {
              for (childIndex = [0 : $children - 1]) {
                segment(radius, segmentIndex = i, deltaAngle = deltaAngle, deltaOffset = deltaOffset, deltaScaleShape = deltaScaleShape, deltaScaleRadius = deltaScaleRadius, deltaTwistAngle = deltaTwistAngle) {
                  children(childIndex);
                }
              }
            }
          }
        }
      }
    }
  }
}

module shape_spring(diameter, wireDiameter, length, endCoils, coilSpacing) {
  radius = diameter / 2;
  wireRadius = wireDiameter / 2;
  endSpacing = wireDiameter + .1;
  endLength = endCoils * endSpacing;
  tryCoilLength = length - endLength * 2;
  coils = max(1, floor(tryCoilLength / coilSpacing) - 1);
  coilLength = coils * coilSpacing;
  transitionLength = (length - coilLength) / 2 - endLength;
  transitionCoils = 2;
  transitionSpacing = transitionLength / transitionCoils;

  intersection() {
    union() {
      rotate_extrude_helix(angle = endCoils * 360 + .01, radius = radius, offset = endLength, center = false) {
        circle(r = wireRadius, $fn = inner_circularity);
      }
      translate([0, 0, endLength]) {
        rotate([0, 0, endCoils * 360]) {
          rotate_extrude_helix(angle = transitionCoils * 360 + .01, radius = radius, offset = transitionLength, center = false) {
            circle(r = wireRadius, $fn = inner_circularity);
          }
        }
      }
      translate([0, 0, endLength + transitionLength]) {
        rotate([0, 0, (endCoils + transitionCoils) * 360]) {
          rotate_extrude_helix(angle = coils * 360 + .01, radius = radius, offset = coilLength, center = false) {
            circle(r = wireRadius, $fn = inner_circularity);
          }
        }
      }
      translate([0, 0, endLength + transitionLength + coilLength]) {
        rotate([0, 0, (endCoils + transitionCoils + coils) * 360]) {
          rotate_extrude_helix(angle = transitionCoils * 360 + .01, radius = radius, offset = transitionLength, center = false) {
            circle(r = wireRadius, $fn = inner_circularity);
          }
        }
      }
      translate([0, 0, endLength + 2 * transitionLength + coilLength]) {
        rotate([0, 0, (endCoils + 2 * transitionCoils + coils) * 360]) {
          rotate_extrude_helix(angle = endCoils * 360, radius = radius, offset = endLength, center = false) {
            circle(r = wireRadius, $fn = inner_circularity);
          }
        }
      }
    }
    translate([0, 0, length / 2]) {
      cube([maxValue, maxValue, length], center = true);
    }
  }
}

```


[User]
Hey, I'm looking to create a pill organizer that holds those standard, dollar-store "once-a-day" pill boxes. I've seen some designs that stack vertically, and I'd like to replicate something similar, but I need it to be parametric so I can adjust it to fit different box sizes if needed.

Essentially, I want a grid of "buckets," each designed to hold one of those daily pill boxes. The buckets should have a lip to prevent the boxes from sliding out, and there should be a base to support the box from below. Also, I need to be able to adjust how many rows and columns of pill boxes the organizer can hold, as well as the spacing between the rows and columns. I'd like for the initial version to have 3 rows and 1 column, with some room for expansion later to add more columns.

I'm thinking the design needs some support structures as well. I'm kind of picturing vertical supports between rows on the first column, and a base and top support for every row/column combination, with horizontal support and lip support on each side as well.

For sizing, you could probably start with the following and I can tweak later; the pill boxes themselves are roughly 31.5mm wide (x) by 26mm deep (y) and the lip for those boxes should be offset by 2.5mm. The opening for the lip itself should be about 2mm. The depth of the lip should be 2mm. I also need a thickness value that's consistent between all parts of the design, and I'm thinking 1.5mm is a good start. I want to also be able to add extra space between columns, with a starting value of 1mm. The height of all parts should be about 15mm.

I'm comfortable with OpenSCAD. Can you create the necessary OpenSCAD file(s) to generate this design? I think I just need the base file.

[Assistant]
Pill_Holder.scad:
```
Thickness = 1.5; // All
Height = 15.0; // Z
Extra_Col_Spacing = 1.0;
Cols = 1;
Rows = 3;

module single(isFirst)
{
	Bucket_Base = 31.5; // X
	Bucket_Side = 26; // Y
	Lip_Offset = 2.5; // Y
	Lip_Opening_Size = 2.0; // Y
	Lip_Depth = 2.0; // X

	union()
	{
		if (isFirst)
		{

			union()
			{
				// Smaller support
				translate([0 - ((Bucket_Base / 2) + (((Lip_Depth * 2) + Extra_Col_Spacing + Thickness) / 2)), Bucket_Side - ((Lip_Offset + Thickness) / 2) + (Thickness * 2), (Height / 2)])
					cube([(Lip_Depth * 2) + Extra_Col_Spacing + Thickness, Lip_Offset + Thickness, Height], true);

				// Lip support
				translate([0 - ((Bucket_Base / 2) + (((Lip_Depth * 2) + Extra_Col_Spacing + Thickness) / 2)), (Bucket_Side + ((Lip_Opening_Size / 2) + Thickness)) - (Lip_Offset + Lip_Opening_Size), (Height / 2)])
					cube([((Lip_Depth * 2) + Extra_Col_Spacing + Thickness) - (Lip_Opening_Size * 2), Lip_Opening_Size + (Thickness * 2), Height], true);

				// Main support
				translate([0 - ((Bucket_Base / 2) + (((Lip_Depth * 2) + Extra_Col_Spacing + Thickness) / 2)), ((Bucket_Side + Thickness) - (Lip_Offset + Lip_Opening_Size)) / 2, (Height / 2)])
					cube([(Lip_Depth * 2) + Extra_Col_Spacing + Thickness, (Bucket_Side + Thickness) - (Lip_Offset + Lip_Opening_Size), Height], true);
			}
		}

		// Top
		translate([0, Bucket_Side + (Thickness * 1.5), (Height / 2)])
			cube([Bucket_Base + (Thickness * 2), Thickness, Height], true);

		// Top left of bucket
		translate([0 - ((Bucket_Base / 2) + (Thickness / 2)), (Bucket_Side - (Lip_Offset / 2)) + (Thickness * 1.5), (Height / 2)], true)
			cube([Thickness, Thickness + Lip_Offset, Height], true);

		// Top right of bucket
		translate([(Bucket_Base / 2) + (Thickness / 2), (Bucket_Side - (Lip_Offset / 2)) + (Thickness * 1.5), (Height / 2)], true)
			cube([Thickness, Thickness + Lip_Offset, Height], true);

		// Top left of lip
		translate([0 - ((Bucket_Base / 2) + ((Lip_Depth + Thickness) / 2)), (Bucket_Side - Lip_Offset) + (Thickness * 1.5), (Height / 2)])
			cube([Lip_Depth + Thickness, Thickness, Height], true);

		// Top right of lip
		translate([(Bucket_Base / 2) + ((Lip_Depth + Thickness) / 2), (Bucket_Side - Lip_Offset) + (Thickness * 1.5), (Height / 2)])
			cube([Lip_Depth + Thickness, Thickness, Height], true);

		// Left lip edge
		translate([0 - ((Bucket_Base / 2) + Lip_Depth + (Thickness / 2)), (Bucket_Side + ((Lip_Opening_Size / 2) + Thickness)) - (Lip_Offset + Lip_Opening_Size), (Height / 2)])
			cube([Thickness, Lip_Opening_Size + (Thickness * 2), Height], true);

		// Right lip edge
		translate([(Bucket_Base / 2) + Lip_Depth + (Thickness / 2), (Bucket_Side + ((Lip_Opening_Size / 2) + Thickness)) - (Lip_Offset + Lip_Opening_Size), (Height / 2)])
			cube([Thickness, Lip_Opening_Size + (Thickness * 2), Height], true);

		// Bottom left of lip
		translate([0 - ((Bucket_Base / 2) + ((Lip_Depth + Thickness) / 2)), ((Bucket_Side + (Thickness / 2)) - (Lip_Opening_Size + Lip_Offset)), (Height / 2)])
			cube([Lip_Depth + Thickness, Thickness, Height], true);

		// Bottom right of lip
		translate([(Bucket_Base / 2) + ((Lip_Depth + Thickness) / 2), ((Bucket_Side + (Thickness / 2)) - (Lip_Opening_Size + Lip_Offset)), (Height / 2)])
			cube([Lip_Depth + Thickness, Thickness, Height], true);

		// Bottom left
		translate([0 - ((Bucket_Base / 2) + (Thickness / 2)), (((Bucket_Side + Thickness) - (Lip_Opening_Size + Lip_Offset)) / 2), (Height / 2)])
			rotate([0, 0, 90])
				cube([((Bucket_Side + Thickness)- (Lip_Opening_Size + Lip_Offset)), Thickness, Height], true);

		// Bottom right
		translate([(Bucket_Base / 2) + (Thickness / 2), (((Bucket_Side + Thickness) - (Lip_Opening_Size + Lip_Offset)) / 2), (Height / 2)])
			rotate([0, 0, 90])
				cube([((Bucket_Side + Thickness) - (Lip_Opening_Size + Lip_Offset)), Thickness, Height], true);

		// Bottom
		translate([0, (Thickness / 2), (Height / 2)])
			cube([Bucket_Base + (Thickness * 2), Thickness, Height], true);
	}
}

module MakeCol(numRows, isFirst)
{
	//NOTE: Might want to double thickness here if you want thicker padding between rows
	Single_Height = 26.0 + Thickness;

	union()
	{
		for(i = [0:numRows - 1])
		{
			translate([0, i * Single_Height, 0])
				single(isFirst);
		}
	}
}

module Grid(numRows, numCols)
{
	Single_Width = 35.5 + Thickness + Extra_Col_Spacing;

	union()
	{
		for(i = [0:numCols - 1])
		{
			translate([i * Single_Width, 0, 0])
				MakeCol(numRows, (i > 0));
		}
	}
}

Grid(Rows, Cols);
single(false);
```