[User]
Hey, I'm looking to design a key organizer similar to the "BladeKey" design, but I'd like to make it fully parametric and easier to customize. I'm envisioning a design where the key organizer has two main sides, connected by a central base, and a rounded end. It uses zip ties to hold the keys in place. I need this to be scalable based on the number of keys and their specific lengths and widths.

Here are the key parameters I need:

*   **`WIDTH`**:  The total width of the key bundle. This needs to be adjustable as keys vary in size
*   **`LENGTH`**: The length of the longest key, this will determine the overall length of the organizer.
*   **`THICK`**: The thickness of the base and sides. This shouldn't go lower than 3, but needs to be adjustable.
*  **`body_height`**: The height of the sides.
*  **`body_keyhead_length`**: The length of the keyhead section.
*  **`body_keyblade_length`**: The length of the blade section (calculated as `LENGTH - body_keyhead_length`).
*  **`body_rounding_radius`**:  The radius of the rounded ends.
*  **`logo_dxf_width`, `logo_dxf_height`, `logo_dxf_thick`**: Dimensions related to a logo that should be able to be included. It should support using a DXF file.
*  **`ziptie_head_x`, `ziptie_head_y`, `ziptie_head_z`**: Dimensions of the zip tie head cutout.
*  **`ziptie_tail_x`, `ziptie_tail_y`, `ziptie_tail_z`**: Dimensions of the zip tie tail cutout.
*  **`ziptie_hole_x`, `ziptie_hole_z`**: Dimensions of the zip tie holes.

The design should include:

1.  **Rounded Front:** The front of the organizer should be rounded, using a similar method that was implemented in `BladeKey_Minimal_v7.scad`

2.  **Base:** A central base connecting the two sides, with circular cutouts.

3.  **Sides:** Two sides, one of which should optionally support a logo (DXF) that can be scaled. The sides also need to have a "tall rounded" portion, that will allow the zip tie to attach, and should have a cutout for the keys.

4. **Zip Tie Cutouts and Holes:** Cutouts and holes for zip ties to secure keys, with the parameters mentioned above.

I'd like it if the design used the `roundCornersCube.scad` code that was included as a library. So you need to create that `roundCornersCube.scad` file, as well as a main file for the key organizer. I'd like the key organizer to use the `kw1.scad` file, which you will also need to write for the 'tall rounded' portion. I'd also like to be able to specify a color for the logo, if included.

Can you generate the OpenSCAD code for this? Thanks!

[Assistant]
BladeKey_Minimal_v7.scad:
```
/*
	BladeKey Key Organizer
	James David Busch
	james.busch@gmail.com

	Version 7

	All Rights Reserved
*/

include <roundCornersCube.scad>
include <__Keys/kw1.scad>

// Measured Width of Your Bundle of Keys
WIDTH = 20;	// THE WIDTH OF THE KEYS
// Measured Length of your Longest Key
LENGTH = 68;	// THE LENGTH OF THE KEYS

THICK = 3;		// NOTE: DO NOT GO LOWER THAN 3
body_height = 13;
body_keyhead_length = 27;
body_keyblade_length = LENGTH - body_keyhead_length;
body_rounding_radius = body_height / 3;

logo_dxf_width = 20;
logo_dxf_height = 5;
logo_dxf_thick = 0.75;

ziptie_head_x = 4.7;
ziptie_head_y = 3.9;
ziptie_head_z = 4.7;

ziptie_tail_x = 2;
ziptie_tail_y = 2;
ziptie_tail_z = 4.5;

ziptie_hole_x = 1.5;
ziptie_hole_z = 4;

// BEGIN CALCULATIONS
union() {
	difference() {
		union() {
			// Rounded Front
			union() {
				translate(v = [0, WIDTH/2+THICK, (body_height/2)/2]) {
					difference() {
						cylinder(r = WIDTH/2+THICK, h = (body_height/2), center=true);
						cylinder(r = WIDTH/2, h = (body_height/2), center=true);
						translate(v = [0, -WIDTH/2-THICK,-(body_height/2)/2]) {
							cube(size = [WIDTH/2+THICK,WIDTH+2*THICK,(body_height/2)]);
						}
					}
				}
			}

			// Base
			union() {
				difference() {
					translate(v = [0,THICK,0]) {
						cube(size = [body_keyblade_length*4/5, WIDTH, THICK]);
					}
					// Circular Cut-Out in the Front of the Base
					translate(v = [0, WIDTH/2+THICK, (body_height/2)/2]) {
						scale([.25,1,1])cylinder(r = WIDTH/2, h = (body_height/2), center=true);
					}
					// Circular Cut-Out in the Back of the Base
					translate(v = [body_keyblade_length*4/5, WIDTH/2+THICK, (body_height/2)/2]) {
						scale([.25,1,1])cylinder(r = WIDTH/2, h = (body_height/2), center=true);
					}
				}
			}

			// Sides
			union() {
				// SIDE with LOGO
				cube(size = [body_keyblade_length + body_keyhead_length - body_rounding_radius, THICK, body_height/2]);
				translate(v = [(body_keyblade_length-logo_dxf_width)/2, -logo_dxf_thick/2, (body_height/4)-(logo_dxf_height/2)]) {
					rotate(a  = [90, 0, 0]) {
						scale(v = [1,1,1]) {
							color([0.0, 0.0, 1.0, 1.0]) {
								linear_extrude(file = "BladeKey_Logo.dxf",  height = logo_dxf_thick, center = true);

							}
						}
					}
				}
				// SIDE
				translate(v = [0,THICK+WIDTH,0]) {
					cube(size = [body_keyblade_length + body_keyhead_length  - body_rounding_radius, THICK, body_height/2]);
				}

				// TALL ROUNDED SIDES
				rotate(a=[90,0,180]) { kw1([1,3,3,2,3]); }
				difference() {
					// CREATE A ROUNDED CORNER CUBE FOR THE TALL SIDE
					translate(v = [body_keyhead_length/2+body_keyblade_length, THICK+WIDTH/2 -  ziptie_head_y/2, (body_height/2)]) {
						rotate(a = [90, 0, 0]) {
							roundCornersCube(body_keyhead_length, body_height, 2*THICK+WIDTH +  ziptie_head_y, body_rounding_radius);
						}
					}
					// CUT THE AREA FOR THE KEYS OUT OF THE TALL SIDE
					translate(v = [body_keyblade_length, THICK, -1]) {
						cube(size = [body_keyhead_length, WIDTH, body_height+2]);
					}
					// CUT AN ANGLE OUT OF THE TALL SIDE
					translate(v = [body_keyblade_length, 0, -1]) {
						mirror([0,1,0]){
							rotate(a = [0, 0, atan2(ziptie_head_y, body_keyhead_length-9)]) {
								cube(size = [body_keyhead_length, ziptie_head_y*2, body_height+2]);
							}
						}
					}
				}
			}
		}

		union() {
			// Create the Zip Tie Holes
			translate(v = [LENGTH - 9, -1, (body_height/2) - ziptie_hole_z/2]) {
				cube(size = [ziptie_hole_x, WIDTH+2*THICK+2, ziptie_hole_z]);
			}
			translate(v = [LENGTH - 5, -1, (body_height/2) - ziptie_hole_z/2]) {
				cube(size = [ziptie_hole_x, WIDTH+2*THICK+2, ziptie_hole_z]);
			}

			// Zip Tie Carveout
			union() {
				// TAIL
				translate(v = [LENGTH - 9, -ziptie_tail_y, body_height/2 - ziptie_tail_z/2]) {
					cube(size = [ziptie_tail_x, ziptie_tail_y, ziptie_tail_z]);
				}
				// HEAD
				translate(v = [LENGTH - 9 + ziptie_tail_x, -ziptie_head_y, body_height/2 - ziptie_head_z/2]) {
					cube(size = [ziptie_head_x, ziptie_head_y, ziptie_head_z]);
				}
			}
		}
	}
}

/*
http://codeviewer.org/view/code:1b36
Copyright (C) 2011 Sergio Vilches
This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see <http://www.gnu.org/licenses/>.
Contact: s.vilches.e@gmail.com

    -----------------------------------------------------------
                 Round Corners Cube (Extruded)
      roundCornersCube(x,y,z,r) Where:
         - x = Xdir width
         - y = Ydir width
         - z = Height of the cube
         - r = Rounding radious

      Example: roundCornerCube(10,10,2,1);
     *Some times it's needed to use F6 to see good results!
 	 -----------------------------------------------------------
*/
// Test it!
// roundCornersCube(10,5,2,1);

module createMeniscus(h,radius) // This module creates the shape that needs to be substracted from a cube to make its corners rounded.
difference(){        //This shape is basicly the difference between a quarter of cylinder and a cube
   translate([radius/2+0.1,radius/2+0.1,0]){
      cube([radius+0.2,radius+0.1,h+0.2],center=true);         // All that 0.x numbers are to avoid "ghost boundaries" when substracting
   }

   cylinder(h=h+0.2,r=radius,$fn = 25,center=true);
}

module roundCornersCube(x,y,z,r)  // Now we just substract the shape we have created in the four corners
difference(){
   cube([x,y,z], center=true);

translate([x/2-r,y/2-r]){  // We move to the first corner (x,y)
      rotate(0){
         createMeniscus(z,r); // And substract the meniscus
      }
   }
   translate([-x/2+r,y/2-r]){ // To the second corner (-x,y)
      rotate(90){
         createMeniscus(z,r); // But this time we have to rotate the meniscus 90 deg
      }
   }
      translate([-x/2+r,-y/2+r]){ // ...
      rotate(180){
         createMeniscus(z,r);
      }
   }
      translate([x/2-r,-y/2+r]){
      rotate(270){
         createMeniscus(z,r);
      }
   }
}

```


[User]
Okay, I'm looking to generate some 3D models of the 16-cell, which is a 4D polytope. I want to be able to manipulate how it appears in 3D by changing my viewpoint in 4D space. I also want to control the thickness of the edges, with the edges closest to the viewer being thicker and tapering to thinner edges further away.

Here's what I'm thinking:

I need a parametric OpenSCAD design that takes the following parameters:

*   **`a1`**: An angle in the xy-plane (0-360 degrees).
*   **`a2`**: An angle from the xy-plane (-89 to 89 degrees).
*   **`a3`**: An angle from xyz-space (-89 to 89 degrees).
*   **`view_radius`**: The distance of the viewpoint from the center of the 16-cell (5 to 400 units).
*   **`min_thickness`**: The minimum thickness of the edges (1 to 5 units).
*   **`max_thickness`**: The maximum thickness of the edges (1 to 10 units).
*    **`Radius`**: The radius of the circumhypersphere of the 16-cell (5 to 100 units).
*   **`plot_points`**: The number of segments used to represent curved surfaces in the model (30 to 100). This is a `$fn` parameter.

The model should project the 4D 16-cell onto 3D space based on the `a1`, `a2`, `a3`, and `view_radius` parameters. The code should calculate the 4D viewpoint and create an orthonormal basis (XB, YB, ZB) for the 3D projection space. I think the most difficult part will be getting that right, and the projection itself. The projection will be of the 16-cell's vertices into 3D space.

The edges of the projected 16-cell should be represented as cylinders or bones. These cylinders should taper from the thickness specified by `max_thickness` to the thickness specified by `min_thickness` based on the distance of their endpoints to the 4D viewpoint, where closer vertices have thicker "bones."

I'd like to have the following modules to make this work:

*   **`bone2(rad1, rad2, height, fn)`:** A module that creates a tapered cylinder (a "bone") with the provided start radius (`rad1`), end radius (`rad2`), height, and `$fn` value. It should be a cylinder with hemispherical caps.
*   **`edge2(p1, p2, rad1, rad2, fn)`:** A module that creates a bone between two 3D points `p1` and `p2` with provided start radius (`rad1`), end radius (`rad2`), and `$fn` value. This should position and rotate the `bone2` module appropriately.
*   **`polytope2(verts, edges, dists, minrad, maxrad, plot_points)`:** A module that takes the projected vertices of the polytope `verts`, the connectivity information `edges`, distances of those verticies to the viewpoint `dists`, a min radius `minrad`, a max radius `maxrad` and the plot point parameter `plot_points`. It then draws the edges of the 16-cell using the `edge2` module.

There will also be helper functions for projection and 4D math:

*   **`triplecross(v1, v2, v3)`:**  A function to calculate the cross product of three 4D vectors.
*   **`project(p, V, xb, yb, zb)`:**  A function to project a 4D point `p` onto 3D space given the viewpoint `V` and the orthonormal basis `xb`, `yb`, `zb`.
*   **`shadow(p, V)`:** A function to calculate the shadow of a 4D point `p` as seen from `V`.

I am not using any libraries. All the code should be included in a single .scad file.

[Assistant]
16cellSCAD2.scad:
```
//A 16-cell from any angle.

//Angle in xy-plane
a1 = 1;//[0:360]

//Angle from xy-plane
a2 = 1;//[-89:89]

//angle from xyz-space
a3 = 1;//[-89:89]

//distance of view point from the center
view_radius = 60;//[5:400]

//of an edge
min_thickness = 1;//[1:0.2:5]

//of an edge
max_thickness = 5;//[1:0.2:10]

// of circumhypersphere
Radius = 50;//[5:100]

plot_points = 30;//[30:100]

//The bone module generates a vertical cylinder that is capped by spheres
module bone2(rad1,rad2,height,fn){
hull(){
translate([0,0,height])
       sphere(r=rad2,center=true,$fn=fn);
sphere(r=rad1,center=true,$fn=fn);
  }  }

 // The edge module defines a bone from point p1 to point p2
 module edge2(p1,p2,rad1,rad2,fn){
     translate(p1)
     rotate(acos(([0,0,1]*(p2-p1))/norm(p2-p1)),
         (pow((p2-p1)[0],2)+pow((p2-p1)[1],2)==0 &&(p2-p1)[2]<0)?
            [1,0,0]: cross([0,0,1],p2-p1))
     bone2(rad1,rad2,norm(p2-p1),fn);
 }

// Polytope draws all the edges.
module polytope2(verts,edges,dists,minrad,maxrad,plot_points){
 for(i=[0:len(edges)-1]){
     edge2(verts[edges[i][0]],verts[edges[i][1]],
            minrad+(maxrad-minrad)*pow(1.05,-1*dists[edges[i][0]]),
            minrad+(maxrad-minrad)*pow(1.05,-1*dists[edges[i][1]]),
     plot_points);}
 }

v=[view_radius*cos(a1)*cos(a2)*cos(a3),
   view_radius*sin(a1)*cos(a2)*cos(a3),
   view_radius*sin(a2)*cos(a3),
   view_radius*sin(a3)];

//XB YB ZB are an orthonormal basis for the space that we project onto.
XB = triplecross([0,0,1,0],[0,0,0,1],v)/norm(triplecross([0,0,1,0],[0,0,0,1],v));

YB = triplecross([0,0,0,1],v,XB)/norm(triplecross([0,0,0,1],v,XB));

ZB = triplecross(v,XB,YB)/norm(triplecross(v,XB,YB));

 Hcube_verts = [project(Radius*[1,0,0,0],v,XB,YB,ZB),
                project(Radius*[-1,0,0,0],v,XB,YB,ZB),
                project(Radius*[0,1,0,0],v,XB,YB,ZB),
                project(Radius*[0,-1,0,0],v,XB,YB,ZB),
                project(Radius*[0,0,1,0],v,XB,YB,ZB),
                project(Radius*[0,0,-1,0],v,XB,YB,ZB),
                project(Radius*[0,0,0,1],v,XB,YB,ZB),
                project(Radius*[0,0,0,-1],v,XB,YB,ZB)];

 Hcube_dists = [norm(v-Radius*[1,0,0,0]),
                norm(v-Radius*[-1,0,0,0]),
                norm(v-Radius*[0,1,0,0]),
                norm(v-Radius*[0,-1,0,0]),
                norm(v-Radius*[0,0,1,0]),
                norm(v-Radius*[0,0,-1,0]),
                norm(v-Radius*[0,0,0,1]),
                norm(v-Radius*[0,0,0,-1])];

 Hcube_edges = [[0,2],[0,3],[0,4],[0,5],[0,6],[0,7],
                [1,2],[1,3],[1,4],[1,5],[1,6],[1,7],
                [2,4],[2,5],[2,6],[2,7],
                [3,4],[3,5],[3,6],[3,7],
                [4,6],[4,7],[5,6],[5,7]];

// The cross product in 4D
function triplecross(v1,v2,v3) =
         [v1[1]*(v2[2]*v3[3]-v2[3]*v3[2])
         -v1[2]*(v2[3]*v3[1]-v2[1]*v3[3])
         +v1[3]*(v2[1]*v3[2]-v2[2]*v3[1]),
             -v1[0]*(v2[2]*v3[3]-v2[3]*v3[2])
             +v1[2]*(v2[3]*v3[0]-v2[0]*v3[3])
             -v1[3]*(v2[0]*v3[2]-v2[2]*v3[0]),
                   v1[0]*(v2[1]*v3[3]-v2[3]*v3[1])
                  -v1[1]*(v2[3]*v3[0]-v2[0]*v3[3])
                  +v1[3]*(v2[0]*v3[1]-v2[1]*v3[0]),
                       -v1[0]*(v2[1]*v3[2]-v2[2]*v3[1])
                       +v1[1]*(v2[2]*v3[0]-v2[0]*v3[2])
                       -v1[2]*(v2[0]*v3[1]-v2[1]*v3[0])];

//Convert the 4D shadow to 3D coordinates
function project(p,V,xb,yb,zb,) =
    [xb*shadow(p,V),yb*shadow(p,V),zb*shadow(p,V)];

// In 4D this calculates the point on the shadow or point p viewed from V
function shadow(p,V)=
    V-((V*V)/((p-V)*V)*(p-V));

 polytope2(Hcube_verts,Hcube_edges,Hcube_dists,
                min_thickness,max_thickness,plot_points);

 //programmed by Will Webber 2015
```


[User]
I'd like to create a parametric OpenSCAD model of a 24-cell, which is a 4D regular polytope. I want to be able to view it from any angle and control the edge thickness, among other things.

Here's what I envision the design should include:

1.  **Viewing Angles:** I need three angles that control the viewpoint.
    *   `a1`: Rotation in the XY-plane (0-360 degrees).
    *   `a2`: Rotation from the XY-plane ( -89 to 89 degrees).
    *   `a3`:  Rotation in another dimension from the XYZ-space (-89 to 89 degrees).
2.  **View Distance:** A parameter called `view_radius` to control the distance of the viewpoint from the center of the 24-cell, which should be between 5 and 400.
3.  **Edge Thickness:** The edges should taper, being thicker when closer to the viewpoint and thinner when farther away. I need:
    *   `min_thickness`: The minimum edge thickness, ranging from 1 to 5.
    *   `max_thickness`: The maximum edge thickness, ranging from 1 to 10.
4.  **Circumhypersphere Radius:** A parameter called `Radius` for the radius of the hypersphere that circumscribes the 24-cell. It should be adjustable between 5 and 100.
5.  **Plot Points:** This will control the resolution of the spheres on the ends of the edges. This value should be adjustable, between 20 and 100. I'll call this parameter `plot_points`.

The model should generate the vertices and edges of the 24-cell, project them into 3D space based on the viewing parameters, and then draw the edges as cylindrical bones with spheres at the ends to simulate thicker or thinner edges, depending on proximity.

I will need functions for:

*   `triplecross()` to do a cross product in 4D space.
*  `project()` to project the 4D points into 3D.
*  `shadow()` to calculate the shadow of each point.
*   `bone2()` to generate the cylindrical bones and end spheres of varying thickness.
*   `edge2()` to draw a single edge between two points.
*   `polytope2()` to draw all of the edges.

Could you generate this parametric OpenSCAD model for me? Please make sure the different parts are clearly separated and that the code is easy to understand. I'd prefer that you don't use any external libraries like BOSL.

[Assistant]
24cellSCAD2.scad:
```
//A 24-cell from any angle.

//Angle in xy-plane
a1 = 0;//[0:360]

//Angle from xy-plane
a2 = 0;//[-89:89]

//angle from xyz-space
a3 = 0;//[-89:89]

//distance of view point from the center
view_radius = 55;//[5:400]

//of an edge
min_thickness = 1;//[1:0.2:5]

//of an edge
max_thickness = 10;//[1:0.2:10]

// of circumhypersphere
Radius = 50;//[5:100]

plot_points = 20;//[20:100]

//The bone module generates a vertical cylinder that is capped by spheres
module bone2(rad1,rad2,height,fn){
hull(){
translate([0,0,height])
       sphere(r=rad2,center=true,$fn=fn);
sphere(r=rad1,center=true,$fn=fn);
  }  }

 // The edge module defines a bone from point p1 to point p2
 module edge2(p1,p2,rad1,rad2,fn){
     translate(p1)
     rotate(acos(([0,0,1]*(p2-p1))/norm(p2-p1)),
         (pow((p2-p1)[0],2)+pow((p2-p1)[1],2)==0 &&(p2-p1)[2]<0)?
            [1,0,0]: cross([0,0,1],p2-p1))
     bone2(rad1,rad2,norm(p2-p1),fn);
 }

// Polytope draws all the edges.
module polytope2(verts,edges,dists,minrad,maxrad,plot_points){
 for(i=[0:len(edges)-1]){
     edge2(verts[edges[i][0]],verts[edges[i][1]],
            minrad+(maxrad-minrad)*pow(1.05,-1*dists[edges[i][0]]),
            minrad+(maxrad-minrad)*pow(1.05,-1*dists[edges[i][1]]),
     plot_points);}
 }

v=[view_radius*cos(a1)*cos(a2)*cos(a3),
   view_radius*sin(a1)*cos(a2)*cos(a3),
   view_radius*sin(a2)*cos(a3),
   view_radius*sin(a3)];

//XB YB ZB are an orthonormal basis for the space that we project onto.
XB = triplecross([0,0,1,0],[0,0,0,1],v)/norm(triplecross([0,0,1,0],[0,0,0,1],v));

YB = triplecross([0,0,0,1],v,XB)/norm(triplecross([0,0,0,1],v,XB));

ZB = triplecross(v,XB,YB)/norm(triplecross(v,XB,YB));

 Hcube_verts = [project(Radius/sqrt(2)*[1,1,0,0],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[1,-1,0,0],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[1,0,1,0],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[1,0,-1,0],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[1,0,0,1],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[1,0,0,-1],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[-1,1,0,0],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[-1,-1,0,0],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[-1,0,1,0],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[-1,0,-1,0],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[-1,0,0,1],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[-1,0,0,-1],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[0,1,1,0],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[0,1,-1,0],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[0,1,0,1],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[0,1,0,-1],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[0,-1,1,0],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[0,-1,-1,0],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[0,-1,0,1],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[0,-1,0,-1],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[0,0,1,1],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[0,0,1,-1],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[0,0,-1,1],v,XB,YB,ZB),
                project(Radius/sqrt(2)*[0,0,-1,-1],v,XB,YB,ZB)];

 Hcube_dists = [norm(v-Radius/sqrt(2)*[1,1,0,0]),
                norm(v-Radius/sqrt(2)*[1,-1,0,0]),
                norm(v-Radius/sqrt(2)*[1,0,1,0]),
                norm(v-Radius/sqrt(2)*[1,0,-1,0]),
                norm(v-Radius/sqrt(2)*[1,0,0,1]),
                norm(v-Radius/sqrt(2)*[1,0,0,-1]),
                norm(v-Radius/sqrt(2)*[-1,1,0,0]),
                norm(v-Radius/sqrt(2)*[-1,-1,0,0]),
                norm(v-Radius/sqrt(2)*[-1,0,1,0]),
                norm(v-Radius/sqrt(2)*[-1,0,-1,0]),
                norm(v-Radius/sqrt(2)*[-1,0,0,1]),
                norm(v-Radius/sqrt(2)*[-1,0,0,-1]),
                norm(v-Radius/sqrt(2)*[0,1,1,0]),
                norm(v-Radius/sqrt(2)*[0,1,-1,0]),
                norm(v-Radius/sqrt(2)*[0,1,0,1]),
                norm(v-Radius/sqrt(2)*[0,1,0,-1]),
                norm(v-Radius/sqrt(2)*[0,-1,1,0]),
                norm(v-Radius/sqrt(2)*[0,-1,-1,0]),
                norm(v-Radius/sqrt(2)*[0,-1,0,1]),
                norm(v-Radius/sqrt(2)*[0,-1,0,-1]),
                norm(v-Radius/sqrt(2)*[0,0,1,1]),
                norm(v-Radius/sqrt(2)*[0,0,1,-1]),
                norm(v-Radius/sqrt(2)*[0,0,-1,1]),
                norm(v-Radius/sqrt(2)*[0,0,-1,-1])];

 Hcube_edges = [[0,2],[0,3],[0,4],[0,5],//1
                [1,2],[1,3],[1,4],[1,5],
                [2,4],[2,5],[3,4],[3,5],
                [6,8],[6,9],[6,10],[6,11],//2
                [7,8],[7,9],[7,10],[7,11],
                [8,10],[8,11],[9,10],[9,11],
                [0,12],[0,13],[0,14],[0,15],//3
                [6,12],[6,13],[6,14],[6,15],
                [12,14],[12,15],[13,14],[13,15],
                [1,16],[1,17],[1,18],[1,19],//4
                [7,16],[7,17],[7,18],[7,19],
                [16,18],[16,19],[17,18],[17,19],
                [2,12],[2,16],[2,20],[2,21],//5
                [8,12],[8,16],[8,20],[8,21],
                [12,20],[12,21],[16,20],[16,21],
                [3,13],[3,17],[3,22],[3,23],//6
                [9,13],[9,17],[9,22],[9,23],
                [13,22],[13,23],[17,22],[17,23],
                [4,14],[4,18],[4,20],[4,22],//7
                [10,14],[10,18],[10,20],[10,22],
                [14,20],[14,22],[18,20],[18,22],
                [5,15],[5,19],[5,21],[5,23],//9
                [11,15],[11,19],[11,21],[11,23],
                [15,21],[15,23],[19,21],[19,23]
                ];

// The cross product in 4D
function triplecross(v1,v2,v3) =
         [v1[1]*(v2[2]*v3[3]-v2[3]*v3[2])
         -v1[2]*(v2[3]*v3[1]-v2[1]*v3[3])
         +v1[3]*(v2[1]*v3[2]-v2[2]*v3[1]),
             -v1[0]*(v2[2]*v3[3]-v2[3]*v3[2])
             +v1[2]*(v2[3]*v3[0]-v2[0]*v3[3])
             -v1[3]*(v2[0]*v3[2]-v2[2]*v3[0]),
                   v1[0]*(v2[1]*v3[3]-v2[3]*v3[1])
                  -v1[1]*(v2[3]*v3[0]-v2[0]*v3[3])
                  +v1[3]*(v2[0]*v3[1]-v2[1]*v3[0]),
                       -v1[0]*(v2[1]*v3[2]-v2[2]*v3[1])
                       +v1[1]*(v2[2]*v3[0]-v2[0]*v3[2])
                       -v1[2]*(v2[0]*v3[1]-v2[1]*v3[0])];

//Convert the 4D shadow to 3D coordinates
function project(p,V,xb,yb,zb,) =
    [xb*shadow(p,V),yb*shadow(p,V),zb*shadow(p,V)];

// In 4D this calculates the point on the shadow or point p viewed from V
function shadow(p,V)=
    V-((V*V)/((p-V)*V)*(p-V));

 polytope2(Hcube_verts,Hcube_edges,Hcube_dists,
                min_thickness,max_thickness,plot_points);

 //programmed by Will Webber 2015
```


[User]
Hey, I'm looking to generate some bases for tabletop miniatures, and I'd like the OpenSCAD design to be parametric so I can easily customize them. I want to be able to specify the base diameter, lid width, height, and depth of a sunken area in the base. The base should have a lip at the top, and I want to be able to add up to three circular or rectangular holes at specified positions and depths. These could be used for magnets, weights, or mounting purposes.

Specifically, I need to be able to define:

*   A choice between a few pre-defined sizes (30mm, 40mm, and 50mm) and a custom size.
*   If I select custom, then I need to be able to set a `BaseDiameter`, `LidWidth`, `Height`, and `SunkenPodest` (the depth of the sunken area)
*   For each of the up to three holes I want to be able to chose the type (none, circle, or rectangle).
*   If it's a circle I'd need to specify `pos_r` (radial position from center), `pos_angle` (angle relative to the x-axis), `z_offset` (depth), and the diameter.
*   If it's a rectangle, I'd specify `pos_r`, `pos_angle`, `z_offset`, `x`, and `y` dimensions.

I was thinking the OpenSCAD design would use `rotate_extrude` and `cylinder` functions to create the base itself. I'm open to suggestions on the best way to achieve this, and I don't have a strong preference on what OpenSCAD libraries it uses if any, so whatever you think is best. The code would ideally use modules as a way to organize the design.

[Assistant]
bases_w_lid.scad:
```
/////   BASES with lid  \\\\\
//// for tabletop gaming \\\\

//// v1.1 - now with customizer

/* [Size] */

// Choose a size
size = 30; //[00:Custom,30:Small,40:Medium,50:Large]

/* [Custom Settings] */
BaseDiameter = 40;
LidWidth = 4.2;
Height = 3.9;
SunkenPodest = 0.8;

/* [Holes] */

// Info: z_offset is measured from the bottom to the top of the subtracted shape. If z_offset > (Height - Sunken_Podest), the hole will be going through the whole base. If z_offset > (Height - 1), then the hole will start to have a bottom. This can be used to mount magnets from the top.

// Shape 1
Shape1 = "none"; // [none,circle,rectangle]
// [pos_r, pos_angle, z_offset, diameter] or [pos_r, pos_angle z_offset, x, y]
Shape1_Parameters = [8,90,3,2.5,0];

// Shape 2
Shape2 = "none"; // [none,circle,rectangle]
// [pos_r, pos_angle, z_offset, diameter] or [pos_r, pos_angle z_offset, x, y]
Shape2_Parameters = [0,0,4.5,28,3];

// Shape 3
Shape3 = "none"; // [none,circle,rectangle]
// [pos_r, pos_angle, z_offset, diameter] or [pos_r, pos_angle z_offset, x, y]
Shape3_Parameters = [8,-45,3,2.5,0];

if (size == 30) {
    translate([0,0,0]) base(15,3,3.8,0.8); // 30mm - Small Base
    }
if (size == 40) {
    translate([0,0,0]) base(20,4.2,3.9,0.8); // 40mm - Medium Base
    }
if (size == 50) {
    translate([0,0,0]) base(25,4.5,4.6,0.8); // 50mm - Large Base
    }
if (size == 00) {
    translate([0,0,0]) base(BaseDiameter/2,LidWidth,Height,SunkenPodest); // ?? Custom Variables
    }

module base(outer_rad,height,lid_rad,sunken_podest) {

	difference()
        {
		union()
            {
			translate([0,0,height-lid_rad])
			rotate_extrude(convexity = 10, $fn = 100)
				translate([outer_rad-lid_rad, 0, 0])
				circle(r = lid_rad, $fn = 100);
			cylinder(r=outer_rad-lid_rad-0.1,h=lid_rad+1,$fn=100);
			cylinder(r=outer_rad,h=height-lid_rad,$fn=100);

            }

		translate([0,0,height-sunken_podest])
			cylinder(r=outer_rad-lid_rad,h=lid_rad+5,$fn=100);
		translate([0,0,-lid_rad*2])
			cylinder(r=outer_rad+lid_rad,h=lid_rad*2,$fn=100);

        if (Shape1 == "circle") {
            rotate([0,0,Shape1_Parameters[1]]) translate([Shape1_Parameters[0],0,Shape1_Parameters[2]-height-1])
            cylinder($fn=128,r=Shape1_Parameters[3]/2, h=height+1);
            }
        if (Shape2 == "circle") {
            rotate([0,0,Shape2_Parameters[1]]) translate([Shape2_Parameters[0],0,Shape2_Parameters[2]-height-1])
            cylinder($fn=128,r=Shape2_Parameters[3]/2, h=height+1);
            }
        if (Shape3 == "circle") {
            rotate([0,0,Shape3_Parameters[1]]) translate([Shape3_Parameters[0],0,Shape3_Parameters[2]-height-1])
            cylinder($fn=128,r=Shape3_Parameters[3]/2, h=height+1);
            }

         if (Shape1 == "rectangle") {
            rotate([0,0,Shape1_Parameters[1]]) translate([Shape1_Parameters[0],0,Shape1_Parameters[2]-(height+1)/2])
            cube([Shape1_Parameters[3],Shape1_Parameters[4],height+1],center = true);
            }
         if (Shape2 == "rectangle") {
            rotate([0,0,Shape2_Parameters[1]]) translate([Shape2_Parameters[0],0,Shape2_Parameters[2]-(height+1)/2])
            cube([Shape2_Parameters[3],Shape2_Parameters[4],height+1],center = true);
            }
         if (Shape3 == "rectangle") {
            rotate([0,0,Shape3_Parameters[1]]) translate([Shape3_Parameters[0],0,Shape3_Parameters[2]-(height+1)/2])
            cube([Shape3_Parameters[3],Shape3_Parameters[4],height+1],center = true);
            }

		}

	}

module 30mm_base() {
	outer_rad	= 15;
	lid_rad		= 3;
	height		= 3.8;

	difference() {
		union() {
			translate([0,0,height-lid_rad])
			rotate_extrude(convexity = 10, $fn = 100)
				translate([outer_rad-lid_rad, 0, 0])
				circle(r = lid_rad, $fn = 100);
			cylinder(r=outer_rad-lid_rad-0.2,h=lid_rad+2,$fn=100);
			cylinder(r=outer_rad,h=height-lid_rad,$fn=100);
			}

		translate([0,0,height-0.8])
			cylinder(r=outer_rad-lid_rad,h=lid_rad+5,$fn=100);
		translate([0,0,-lid_rad])
			cylinder(r=outer_rad+lid_rad,h=lid_rad,$fn=100);

		}

	}

module 40mm_base() {
	outer_rad	= 20;
	height		= 4.2;
	lid_rad		= 3.9;

	difference() {
		union() {
			translate([0,0,height-lid_rad])
			rotate_extrude(convexity = 10, $fn = 100)
				translate([outer_rad-lid_rad, 0, 0])
				circle(r = lid_rad, $fn = 100);
			cylinder(r=outer_rad-lid_rad-0.1,h=lid_rad+1,$fn=100);
			cylinder(r=outer_rad,h=height-lid_rad,$fn=100);
			}

		translate([0,0,height-0.8])
			cylinder(r=outer_rad-lid_rad,h=lid_rad+5,$fn=100);
		translate([0,0,-lid_rad])
			cylinder(r=outer_rad+lid_rad,h=lid_rad,$fn=100);

		}

	}

 module 50mm_base() {
	outer_rad	= 25;
	lid_rad		= 4.5;
	height		= 4.6;

	difference() {
		union() {
			translate([0,0,height-lid_rad])
			rotate_extrude(convexity = 10, $fn = 100)
				translate([outer_rad-lid_rad, 0, 0])
				circle(r = lid_rad, $fn = 100);
			cylinder(r=outer_rad-lid_rad-0.1,h=lid_rad+1,$fn=100);
			cylinder(r=outer_rad,h=height-lid_rad,$fn=100);
			}

		translate([0,0,height-0.8])
			cylinder(r=outer_rad-lid_rad,h=lid_rad+5,$fn=100);
		translate([0,0,-lid_rad])
			cylinder(r=outer_rad+lid_rad,h=lid_rad,$fn=100);

		}

	}
```


[User]
Hey, I'm looking to design a connector for Ikea Melltorp tables, specifically to join them together end-to-end to make a longer, more stable desk setup. I've got some basic dimensions in mind, but I'd like to make it parametric so I can tweak it easily.

The connector should essentially be a rectangular box that sits between two table legs, with cutouts for the legs themselves to fit into and a central gutter for cables to run through.

Here's what I'm thinking for the parameters and initial values:

*   `gutter`: The width of the cable gutter between the tables (e.g., 20mm).
*   `height`: The height of the connector box (e.g., 40mm).
*   `thickness`: The wall thickness of the connector box (e.g., 4mm).
*   `leg_width`: The width of a Melltorp table leg (e.g., 20mm).
*  `leg_depth`: The depth of a Melltorp table leg (e.g., 60mm).

The overall depth of the connector should be twice the `leg_depth` plus the `gutter`.  The width of the connector should be `leg_width` plus twice the `thickness`.

The leg cutouts should be a simple rectangular prism that aligns with the center of the legs and the connector's center. I was also thinking of making the openings for the legs a cylinder.  The leg cutouts on each side will be centered and separated by the `gutter`. I'd like the cylinders to extend a little bit past the main box and extend into the leg cutout on both sides. This should help guide the legs.

I'd like you to generate an OpenSCAD file that uses these parameters. I don't have any particular preference for libraries, but let me know if you think one would be helpful.

[Assistant]
many_melltorp_no2.scad:
```
// many melltorp connector no.2
// in mm

// The space between the tables (for cables)
gutter = 20;

height = 40;

// wall thickness
thickness = 4;

/* [Hidden] */
leg_width = 20;
leg_depth = 60;

depth = 2 * leg_depth + gutter;
width = leg_width + 2 * thickness;

difference() {
    cube( [ width, depth, height], center=true );

    translate( [0, (leg_depth+gutter) / 2, 0] )
      cube( [ leg_width, leg_depth, height ], center=true );
    translate([0,(depth/2)+height*0.35,0])
        rotate([90,0,90])
            cylinder(r=height/2,40, center = true);

    translate( [0, -(leg_depth+gutter) / 2, 0] )
      cube( [ leg_width, leg_depth, height ], center=true );
    translate([0,-(depth/2)-height*0.35,0])
        rotate([90,0,90])
            cylinder(r=height/2,40, center = true);

}

```


[User]
I'm looking to get a custom spool generator that I can use to print spools for various materials. I like the basic design from `smallSpool-20150909.scad` which has a couple of nice features: a text label on one of the sides, a customizable width, and a hex pattern on the flat faces, but I want something more parametric. I'd like the following parameters that I can set:

*   **Spool Diameter:** The outer diameter of the spool (the `discRadius` in the original file).
*   **Inner Diameter:** The diameter of the center hole (the `innerSpoolRadius`).
*  **Spool Width:** The width of the spool (the `spoolWidth`)
*   **Label Text:** The text label that appears on one side of the spool (`spoolText`).
*   **Label Height**: The height of the text label (`labelHeight`).
*   **Label Offset:** The distance to translate the label from the center of the spool (`labelOffset`).
* **Rim Width:**  The width of the rim around the edge of the spool disc (`thickness` in the original file), both the circular rim and the rim at the center hole. I want to be able to set this parameter for both inner and outer rims individually.
*   **Hex Pattern Edge Width:**  The width of the edge around the hex holes (`hexEdge`).
*   **Hex Pattern Radius:** The radius of the hexagons in the pattern (`hexRadius`).
*  **Number of Rows and Columns:** The number of rows and columns of hex holes on the disc (`rows`, `columns`).
*   **Fit Adjustment:** A parameter to slightly adjust the fit of the two halves, which was set to 2.2 in the original code but I want to be able to set to any value, for example `fitAdjustment`.

I'd like the code to produce two halves of a spool that can be printed and then joined. One of the halves should include the text label. I'd also like to have the ability to select only print the top, bottom, or both parts. Can you make all of that parametric?

I don't have a specific library that I want the code to use, but if you have a preference then let me know what you choose.

[Assistant]
smallSpool-20150909.scad:
```
// Small Spool

// preview[view:south, tilt:bottom]

// Which one would you like to see?
part = "bottom"; // [bottom:Bottom half of spool (with label), top:Top half of spool, both: Both halves]
//part = "top";
//part = "both";

// Label Text (up to 10 characters)
spoolText = "1.75mm PLA";

// Spool Width
spoolWidth = 15; //[15:Small, 30:Medium, 50:Large]

/* [Hidden] */

innerSpoolRadius = 20;
outerSpoolRadius = 50;
discRadius = 80;
thickness = 1;

hexRadius = 10;
hexEdge = 2;

 // Simple list comprehension for creating N-gon vertices
function ngon(num, r) =
  [for (i=[0:num-1], a=i*360/num) [ r*cos(a), r*sin(a) ]];

module hexagon(){
    hexagon = 6;
    hexagonRadius = hexRadius; //outside distance from centre to point
    hexagonEdge = hexEdge;    // increasing edge makes hole smaller. but does not change outside size

    difference(){
        polygon(ngon(hexagon, hexagonRadius));
        offset(-hexagonEdge)
            polygon(ngon(hexagon, hexagonRadius));
    }

}

 module hexHoles(){
     //Apothem given the radius (distance from the center to a vertex):
     // r * cos(180/sides)
     apothem = hexRadius * cos(180/6); // = 15.32
     yOffset = apothem*2-hexEdge; //Actual = 15.32, est = 15.5;
     // the x & y offset for next column is defined by right hand triangle with angle of 30 deg
     // xOff = 2*hexRadius * cos(30);
     // yOff = 2 * hexRadius * sin(30);

     xOffset = yOffset-hexEdge; //13.32;
     columns = 13;
     rows = 13;

     for(x = [0:rows-1]){
         for(y = [0:columns-1]){
              translate([x*xOffset,y*yOffset+(x%2)*yOffset/2,0])hexagon();
         }
     }
  //   hexagon();
//     translate([0,15.5,0])hexagon();
//     translate([13.5,15.5/2,0])hexagon();

 }

 module bottomDisc(){
    //cylinder(r=discRadius, h = thickness);

     //hex pattern
     linear_extrude(height = thickness ){
        intersection(){
            difference(){
                circle(r=discRadius);
                circle(r=innerSpoolRadius);
            }
            translate([-discRadius, -discRadius,0]) hexHoles();
        }

      }

    // middle ring
    linear_extrude(height = thickness ){
        difference(){
            circle(r=discRadius, $fn = 100);
            circle(r=discRadius-5, $fn = 100);
        }
    }

    // outer ring
    linear_extrude(height = thickness ){
        difference(){
            circle(r=outerSpoolRadius+5, $fn = 100);
            circle(r=outerSpoolRadius-5, $fn = 100);
        }
    }

    //round outer rim
    rotate_extrude(convexity = 10, $fn = 100)
        translate([discRadius, thickness, 0])
            circle(r = thickness, $fn = 100);
    //round inner rim
    *rotate_extrude(convexity = 10)
        translate([innerSpoolRadius, thickness, 0])
            circle(r = thickness, $fn = 100);

    // rim at center
    linear_extrude(height = 5 ){
        difference(){
            circle(r=innerSpoolRadius+5, $fn = 100);
            circle(r=innerSpoolRadius-1, $fn = 100);
        }
    }

 }

 module outerSpool(changeSize = 0){
     rim = 2*thickness;
     linear_extrude(height = spoolWidth) {
         difference(){
             offset(rim) circle(r=outerSpoolRadius-changeSize,$fn = 100);
             circle(r=outerSpoolRadius-changeSize, $fn = 100);
         }
     }
 }

module t(t, s = 18, style = "") {
    scale([0.5,0.5,1])
        linear_extrude(height = thickness)
            text(t, size = s, halign = "center", valign = "center", font = str("Liberation Sans", style), $fn = 16);
}

 module spoolBottom(){
     cubeWidth = 80;
     cubeHeight = 10;

     //bottom
     difference(){
         union(){
            bottomDisc();
            outerSpool();
            translate([0,-60,thickness/2]) cube([cubeWidth,cubeHeight,thickness], center = true);
        }
        translate([0,-60,thickness*3/4]) rotate ([180,0,0]) translate([0,0,0]) t(spoolText);
     }

 }

 module spoolTop(){

     //top
    translate([0,0,1]) {
        translate([0,0,spoolWidth]) mirror([0,0,1]) bottomDisc();
        outerSpool(2.2);  // change this number to adjust fit
    }

 }

module spool(){
   spoolBottom();
   spoolTop();

}

module print_part() {
	if (part == "bottom") {
		spoolBottom();
	} else if (part == "top") {
		spoolTop();
	} else if (part == "both") {
		spool();
	} else {
		spool();
	}
}

print_part();
// spool();
```


[User]
Hey, I need an OpenSCAD design for parametric PCB standoffs. I'd like them to have a hexagonal outer shape and a cylindrical hole for a screw.

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

*   `hole_r`: The radius of the screw hole.
*   `hex_r`: The radius of the outer hexagon.
*   `hex_Height`: The height of the standoff.
*   `Rows`: The number of rows in the array of standoffs.
*   `Cols`: The number of columns in the array of standoffs.
*   `spacing`: The distance between the standoffs in the array, specifically the distance between the centers of adjacent standoffs. I'd like to be able to control this independently of the size of the hex.

I'd like the design to be a single module called `pcbstand()`, that creates a single standoff, and then a main module to generate an array of standoffs with a set number of rows and columns, as described by the parameters. I need it to be a hex shape, as shown in the existing code.

Can you generate the appropriate OpenSCAD files for this? I don't have the code for any custom libraries.

[Assistant]
pcb_stand_off_hex.scad:
```
hole_r = 1.5;
hex_r = 4;
hex_Height = 8;
Rows = 3;
Cols= 3;

module pcbstand() {
difference() {
    cylinder(r=hex_r,h=hex_Height,$fn=6);
    translate([0,0,-1])cylinder(r=hole_r,h=hex_Height+2,$fn=50);

}
}
for (y=[1:Cols])
    for (x=[1:Rows])
        translate([x*((hex_r*2)+2),y*((hex_r*2)+2),0])pcbstand();
```


[User]
Hey, I'm trying to design a shim for my 3D printer's Z-axis limit switch. Basically, I want to trick the printer into thinking it's closer to the bed than it actually is, so I can use a glass print bed without messing with the printer's settings. I've got a starting point but it's very basic.

The shim needs to be a rectangular block with rounded corners. It's got to have a flat top and bottom. The size of the block and the rounding of the corners should be adjustable. Also, the thickness should be a parameter that I can change.

I'm thinking the main parameters I need to control are:

*   `length`: the length of the rectangular block
*   `width`: the width of the rectangular block
*   `corner_radius`: the radius of the rounded corners
*   `thickness`: the thickness of the shim.

Could you generate an OpenSCAD file for this? I'm not using any external libraries right now. Thanks!

[Assistant]
glass_plate_shim_2.scad:
```
//Thickness of the shim, in millimeters. Theoretically should be the thickness of your glass plate, though I have to subtract about 0.4mm for my printer for some reason. My glass plate is 2.2mm thick.
shim_thickness = 1.8;

$fn = 24 * 1;

module rounded_square(dims, r=2, thickness=1) {
hull() {
translate([0, 0, thickness * 0.5]) {
	translate([dims[0] * -0.5, dims[1] * -0.5, 0]) cylinder(r=r, h=thickness, center=true);
	translate([dims[0] * +0.5, dims[1] * -0.5, 0]) cylinder(r=r, h=thickness, center=true);
	translate([dims[0] * -0.5, dims[1] * +0.5, 0]) cylinder(r=r, h=thickness, center=true);
	translate([dims[0] * +0.5, dims[1] * +0.5, 0]) cylinder(r=r, h=thickness, center=true);
}
}
}

rounded_square([10, 10], thickness=plate_thickness);

```


[User]
I'd like to design a parametric stand for various power adapters, similar to what's described in the included SCAD file (AC_adapter_stand.scad). Basically, it's a stand that holds the adapter vertically, with some space around it for air flow.

I need to be able to adjust for different adapter sizes. Key dimensions are the adapter's width, length, and the height it covers when stood vertically. There should also be a radius for the corners of the adapter, and radii for the base of the stand and the inset where the adapter sits. I'd like to be able to change how thick the base is, too, and how high the stand goes (which currently includes a "floor_height").

The stand should essentially be a hollow box with rounded corners, made up of a base and four vertical supports, and the adapter should sit securely inside without touching the walls of the stand. It seems like the provided SCAD makes use of `hull` and `sphere` quite a bit, which I think is useful here, but I'd like to see if we can generate a new version parametrically. It also uses `difference` and `intersection`, which are common in OpenSCAD, and I definitely want those.

I'd like the design to be reasonably clean, with a focus on ease of customization. I'd also like to use the `BOSL2` library.

Could you provide the SCAD code?

[Assistant]
AC_adapter_stand.scad:
```
//Width of the AC adapter. Apple MacBook adapters are 28.3mm wide (thick).
adapter_width = 28.3;
//Length of the AC adapter. Apple's 85W MagSafe 2 adapter is 80.1mm; the 45W MagSafe 1 adapter is 65.2mm.
adapter_length = 80.1;
//Vertical coverage of AC adapter. Does not include the centimeter or so of airflow beneath the adapter.
adapter_covered_height = 25;

//The corner radius of the adapter.
inset_radius = 7 * 1;
inset_width = adapter_width - inset_radius * 2;
inset_length = adapter_length - inset_radius * 2;

outset_radius = 10 * 1;
base_width = adapter_width + outset_radius * 2 - inset_radius * 2;
base_length = adapter_length + outset_radius * 2 - inset_radius * 2;

foot_radius = outset_radius * 1;

floor_height = foot_radius * 2;
stand_height = adapter_covered_height + floor_height;
base_thickness = 5 * 1;

$fa=1 * 1;
$fs=0.5 * 1;

rotate([0, 0, 90])
difference() {

//translate([0,0,foot_radius])
intersection() {
translate([-100, -100, 0])
cube([200, 200, stand_height]);

hull()
 {
//Top edge
translate([inset_width * -0.5 + inset_radius, inset_length * -0.5 + inset_radius, stand_height])
sphere(r=inset_radius);
translate([inset_width * -0.5 + inset_radius, inset_length * +0.5 - inset_radius, stand_height])
sphere(r=inset_radius);
translate([inset_width * +0.5 - inset_radius, inset_length * -0.5 + inset_radius, stand_height])
sphere(r=inset_radius);
translate([inset_width * +0.5 - inset_radius, inset_length * +0.5 - inset_radius, stand_height])
sphere(r=inset_radius);
//Base
translate([base_width * -0.5, base_length * -0.5, 0])
sphere(r=foot_radius);
translate([base_width * -0.5, base_length * +0.5, 0])
sphere(r=foot_radius);
translate([base_width * +0.5, base_length * -0.5, 0])
sphere(r=foot_radius);
translate([base_width * +0.5, base_length * +0.5, 0])
sphere(r=foot_radius);
} //hull
}

//AC adapter
color("blue") {
hull() {
translate([adapter_width * -0.5 + inset_radius, adapter_length * -0.5 + inset_radius, floor_height])
sphere(r=inset_radius);
translate([adapter_width * -0.5 + inset_radius, adapter_length * +0.5 - inset_radius, floor_height])
sphere(r=inset_radius);
translate([adapter_width * +0.5 - inset_radius, adapter_length * -0.5 + inset_radius, floor_height])
sphere(r=inset_radius);
translate([adapter_width * +0.5 - inset_radius, adapter_length * +0.5 - inset_radius, floor_height])
sphere(r=inset_radius);

translate([adapter_width * -0.5 + inset_radius, adapter_length * -0.5 + inset_radius, floor_height + adapter_length])
sphere(r=inset_radius);
translate([adapter_width * -0.5 + inset_radius, adapter_length * +0.5 - inset_radius, floor_height + adapter_length])
sphere(r=inset_radius);
translate([adapter_width * +0.5 - inset_radius, adapter_length * -0.5 + inset_radius, floor_height + adapter_length])
sphere(r=inset_radius);
translate([adapter_width * +0.5 - inset_radius, adapter_length * +0.5 - inset_radius, floor_height + adapter_length])
sphere(r=inset_radius);
} //hull

translate([adapter_width * -0.5 + inset_radius, adapter_length * -1, base_thickness])
cube([adapter_width - inset_radius * 2, adapter_length * 2, adapter_length]);
translate([adapter_width * -2, adapter_length * -0.5 + inset_radius, base_thickness])
cube([adapter_width * 4, adapter_length - inset_radius * 2, adapter_length]);
} //blue

} //difference

```


[User]
I'm looking to create a parametric OpenSCAD design for a support system for filament rolls, specifically those used with iPrusa 3 P3Steel printers from www.kitprinter3d.com. The design should consist of two main parts: a central ring that holds the filament roll and two hexagonal support structures.

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

**Roller and Hexas:**

*   `holedia`: Diameter of the hole in the center ring and the hex supports (in mm).
*   `tolerance`: Tolerance for the hole diameter (in mm). This will be subtracted from the hole diameter when creating the actual hole in the part.
*   `rollerdiameter`: Diameter of the roller that the filament roll rests on (in mm).

**Roller (Center Ring):**

*   `rollerdepth`: Depth of the roller (in mm).
*   `seamheightinside`: Height of the inside seam/lip of the roller that retains the roll (in mm).
*   `brimoutsidethickness`: Thickness of the outside brim of the roller (in mm).
*   `brimoutsideheight`: Height of the outside brim of the roller (in mm).

**Hexas (Support Structures):**

*   `supportdist`: Distance between the two hexagonal supports (center-to-center) in mm.
*   `supportthickness`: Thickness of the hexagonal support structures (in mm).

**Output Control:**

*  `part`: A variable that determines which part(s) are rendered to stl. Options should be "hexas", "centerring", or "both".

I need the design to create a center ring with an inner lip to help keep the filament roll on the roller, plus an outer brim on each side of the center ring. The hex supports should each have a hole with a diameter equal to the `holedia` with the `tolerance` removed, and should be able to rotate around the z-axis. The center ring and supports need to be separate modules, so that I can print just the center, or just the supports if I want.

I'd like to avoid using any special libraries; everything should be basic OpenSCAD primitives. Could you please generate the necessary .scad file(s) for this? I'd like to be able to vary all the parameters I've listed above.

[Assistant]
assupport2.scad:
```
/////////////////////////////////////////////////////////////////////
////////////////////Support for filamentrolls ///////////////////
///////////////////iprusa 3 P3Steel www.printer3d.com////////////////////////
/*date:04-09-2015
programmed by: ruudoleo
license:
program: Openscad

*/

/////////////////////////////////////////////////////////////////////
////////////////////////////Parameters//////////////////////////

/*[roller and hexas]*/
    holedia=12;
    tolerance=0.2;
    rollerdiameter=38.5;
/*[roller]*/
    rollerdepth=11;
    seamheightinside=1;
    brimoutsidethickness=2;
    brimoutsideheight=4;

/*[Hexas]*/
   supportdist=127;
   supportthickness=3.5;

/*[Print what]*/
part="both";//[hexas:hexas,centerring:centerring,both:both]

/*[Hidden]*/
   hexwidth=(holedia-tolerance)*sqrt(3)/2;
   hexlenght=supportdist/2+10;
   rollerdia=rollerdiameter-tolerance;
//////////////rendering//
if (part=="hexas"){
    translate([0,0,hexwidth/2])
 hex_As();
}// endif
else{
    if (part=="centerring"){
     center_Ring();
    }//end if
    else{
        translate([50,0,hexwidth/2])
      hex_As();
      center_Ring();
    }//end else
} // end if

//////////////////modules///////
   //*****filamentrollersupport***
module hex_As(){
    rotate(a=270,v=[1,0,0])
     hexas(supportthickness,supportdist,hexlenght,holedia,hexwidth,tolerance);

}// end module
module center_Ring(){
        support(rollerdia,rollerdepth,seamheightinside,brimoutsidethickness,brimoutsideheight);
}//end module

module support(rollerdia,rollerdepth,seamhightinside,brimoutsidethickness,brimoutsideheight){
      difference(){
      union(){
        //brim outside
          translate([0,0,brimoutsidethickness/2])
            cylinder(d=rollerdia+brimoutsideheight*2,h=brimoutsidethickness,center=true,$fn=100);
        //main cylinder
         translate([0,0,rollerdepth/2])
                 cylinder(d=rollerdia,h=rollerdepth,center=true,$fn=100);
         //brim inside
         translate([0,0,rollerdepth-1])
            cylinder(r1=rollerdia/2,r2=rollerdia/2+seamheightinside/2,h=1,center=true,$fn=100);
         translate([0,0,rollerdepth])
             cylinder(r1=rollerdia/2+seamheightinside/2,r2=rollerdia/2,h=1,center=true,$fn=100);

}

// make hole
translate([0,0,rollerdepth/2])
                cylinder(d=holedia,h=rollerdepth+10,center=true,$fn=100);
}
}

     //*************hex as**********
     module hexas(supportthickness,supportdist,hexlenght,holedia,hexwidth,tolerance){
     halfhexas(supportthickness,supportdist,hexlenght,holedia,hexwidth,tolerance);
     mirror([0,0,1])
     halfhexas(supportthickness,supportdist,hexlenght,holedia,hexwidth,tolerance);
   }
     //*************halfhex as**********
     module halfhexas(supportthickness,supportdist,hexlenght,holedia,hexwidth,tolerance){
     difference(){
            //hexagonale as
            translate([0,0,-hexlenght/2])
                cylinder(d=holedia-tolerance,h=hexlenght,center=true,$fn=6);

         //delete grooves
           translate([supportthickness/2,-hexwidth,-supportdist/2-supportthickness])
            cube(size=[hexwidth,hexwidth*2,supportthickness],center=false);
           translate([-hexwidth-supportthickness/2,-hexwidth,-supportdist/2-supportthickness])
             cube(size=[hexwidth,hexwidth*2,supportthickness],center=false);
      }
               //////antiwarpsupport 3D print///
             translate([holedia*0.5,hexwidth/2-0.5,-hexlenght/2-supportdist/4+2])
                cube(size=[holedia/2,1,hexlenght-supportdist/2],center=true);

        translate([-holedia*0.5,hexwidth/2-0.5,-hexlenght/2-supportdist/4+2])
                cube(size=[holedia/2,1,hexlenght-supportdist/2],center=true);
  }

```


[User]
I'd like to design a bead spinner for crafting, the kind that helps you quickly thread seed beads onto a needle. I've seen a few designs, and I really like the shape of the one in this youtube video: [https://www.youtube.com/watch?v=6uMQkYWsBJI](https://www.youtube.com/watch?v=6uMQkYWsBJI). It's basically a bowl shape with a relatively flat base.

I'd like to be able to control the overall width/diameter of the spinner, and the wall thickness should be about 1mm. I want it to be smooth, so rather than use a low number of facets I'd like to control the number of facets, say via a variable. Also, I think it would be helpful to have an option to disassemble it for printing on smaller printers. So there should be a way to separate the bowl portion from the base so they can be printed flat. It would also be nice to have an option to show the cross-section to visualize the design. I'd prefer to specify dimensions in millimeters.

I have a shape profile I made in Inkscape as a series of X/Y coordinates. Here they are, along with the coordinates for the base profile:

```
spinner_points = [[-27.217585,-50.615660],[-26.668782,-50.434829],[-26.100305,-50.064898],[-25.440246,-49.380719],[-24.766955,-48.286362],[-24.158784,-46.685899],[-23.694084,-44.483401],[-23.451205,-41.582941],[-23.597079,-34.107066],[-23.692058,-27.736848],[-23.656730,-20.168156],[-23.382343,-11.818274],[-22.760145,-3.104490],[-21.681386,5.555913],[-20.936812,9.735695],[-20.037315,13.745649],[-19.678322,17.354608],[-19.771159,20.629165],[-20.419801,26.676646],[-20.529348,29.700355],[-20.198205,32.891236],[-19.797647,34.588550],[-19.203244,36.374679],[-18.387103,38.265298],[-17.321335,40.276079],[-16.259421,41.449300],[-14.780340,42.698989],[-12.903631,43.795746],[-11.822273,44.215087],[-10.648835,44.510169],[-8.598610,44.773719],[-6.086997,44.928640],[-0.342413,44.979253],[5.259297,44.795325],[9.392515,44.510169],[12.592352,44.136365],[14.193641,43.836312],[15.773059,43.401648],[17.313516,42.787993],[18.797922,41.950965],[20.209188,40.846181],[21.530225,39.429260],[22.670983,37.776647],[23.561259,36.018819],[24.213734,34.192443],[24.641090,32.334185],[24.856009,30.480709],[24.871172,28.668682],[24.699260,26.934771],[24.352955,25.315640],[23.150059,21.854120],[21.699850,18.876867],[20.235399,16.649115],[18.989775,15.436100],[18.146393,14.854357],[17.619105,14.309727],[17.345144,13.814675],[17.261744,13.381673],[17.415559,12.751691],[17.578415,12.519530],[17.870706,12.280967],[18.699587,12.034306],[19.292753,12.127794],[19.993072,12.483084],[20.791545,13.188118],[21.679175,14.330839],[22.907532,16.272695],[24.367832,18.906919],[25.757940,21.989434],[26.775725,25.276160],[27.217585,28.550138],[27.111422,31.573455],[26.559334,34.328427],[25.663418,36.797375],[24.525770,38.962615],[23.248488,40.806467],[21.933667,42.311249],[20.683405,43.459280],[19.169663,44.521104],[17.618075,45.334908],[16.102515,45.933499],[14.696855,46.349686],[12.510733,46.766078],[11.650695,46.846550],[-12.357365,46.846550],[-15.137266,45.717361],[-17.299812,44.623542],[-18.191470,44.036980],[-18.810905,43.459280],[-20.481583,41.132005],[-21.833535,38.946916],[-23.068825,36.692180],[-23.068825,13.460190],[-27.217585,4.066249]];
base_points = [[-27.217585,7.382710],[-26.549637,7.465681],[-26.030800,7.622153],[-25.669695,7.902180],[-24.661427,10.727528],[-23.865155,13.199350],[-23.865155,39.468640],[-22.896600,41.154241],[-21.710032,42.861152],[-20.076715,44.788500],[-19.039493,45.701965],[-17.840755,46.493691],[-15.328363,47.711858],[-13.278802,48.442861],[-12.431335,48.686560],[11.576725,48.686560],[18.082045,50.615660],[-27.217585,50.615660]];
```

Could you generate the OpenSCAD files for this?  I'm not really sure how to handle the imported profiles. I assume you'll need to import a math library and perhaps one for manipulating polygons. I'd like to be able to vary the width of the spinner and also the number of facets. I'd also like the variables to be exposed in the Customizer.

[Assistant]
bead-spinner.scad:
```
// Bead spinner to help putting seed beads on a thread.

// preview[view:north east, tilt:top diagonal]

// 1mm thick walls at 50mm wide. Ideal size is 80-100
Width = 80; //[50:5:120]
// How smooth is the outer circle
Faceted = 180;
// Spread out for printing
Disassembled = "no";   // [yes,no]
// See X-Section to see how its made.
Show_x_section = "no"; // [yes,no]

/* [Hidden] */
s_width  = Width;
s_height = 0.89 * s_width;
b_height = 0.45 * s_height;
b_width  = 0.84 * s_width;

Delta = 0.1;
profile_scale = 25.4/90; //made in inkscape in mm
spinner_points = [[-27.217585,-50.615660],[-26.668782,-50.434829],[-26.100305,-50.064898],[-25.440246,-49.380719],[-24.766955,-48.286362],[-24.158784,-46.685899],[-23.694084,-44.483401],[-23.451205,-41.582941],[-23.597079,-34.107066],[-23.692058,-27.736848],[-23.656730,-20.168156],[-23.382343,-11.818274],[-22.760145,-3.104490],[-21.681386,5.555913],[-20.936812,9.735695],[-20.037315,13.745649],[-19.678322,17.354608],[-19.771159,20.629165],[-20.419801,26.676646],[-20.529348,29.700355],[-20.198205,32.891236],[-19.797647,34.588550],[-19.203244,36.374679],[-18.387103,38.265298],[-17.321335,40.276079],[-16.259421,41.449300],[-14.780340,42.698989],[-12.903631,43.795746],[-11.822273,44.215087],[-10.648835,44.510169],[-8.598610,44.773719],[-6.086997,44.928640],[-0.342413,44.979253],[5.259297,44.795325],[9.392515,44.510169],[12.592352,44.136365],[14.193641,43.836312],[15.773059,43.401648],[17.313516,42.787993],[18.797922,41.950965],[20.209188,40.846181],[21.530225,39.429260],[22.670983,37.776647],[23.561259,36.018819],[24.213734,34.192443],[24.641090,32.334185],[24.856009,30.480709],[24.871172,28.668682],[24.699260,26.934771],[24.352955,25.315640],[23.150059,21.854120],[21.699850,18.876867],[20.235399,16.649115],[18.989775,15.436100],[18.146393,14.854357],[17.619105,14.309727],[17.345144,13.814675],[17.261744,13.381673],[17.415559,12.751691],[17.578415,12.519530],[17.870706,12.280967],[18.699587,12.034306],[19.292753,12.127794],[19.993072,12.483084],[20.791545,13.188118],[21.679175,14.330839],[22.907532,16.272695],[24.367832,18.906919],[25.757940,21.989434],[26.775725,25.276160],[27.217585,28.550138],[27.111422,31.573455],[26.559334,34.328427],[25.663418,36.797375],[24.525770,38.962615],[23.248488,40.806467],[21.933667,42.311249],[20.683405,43.459280],[19.169663,44.521104],[17.618075,45.334908],[16.102515,45.933499],[14.696855,46.349686],[12.510733,46.766078],[11.650695,46.846550],[-12.357365,46.846550],[-15.137266,45.717361],[-17.299812,44.623542],[-18.191470,44.036980],[-18.810905,43.459280],[-20.481583,41.132005],[-21.833535,38.946916],[-23.068825,36.692180],[-23.068825,13.460190],[-27.217585,4.066249]];
base_points = [[-27.217585,7.382710],[-26.549637,7.465681],[-26.030800,7.622153],[-25.669695,7.902180],[-24.661427,10.727528],[-23.865155,13.199350],[-23.865155,39.468640],[-22.896600,41.154241],[-21.710032,42.861152],[-20.076715,44.788500],[-19.039493,45.701965],[-17.840755,46.493691],[-15.328363,47.711858],[-13.278802,48.442861],[-12.431335,48.686560],[11.576725,48.686560],[18.082045,50.615660],[-27.217585,50.615660]];

//--------------
// helper functions to determine the X,Y dimensions of the profiles
function min_x(shape_points) = min([ for (x = shape_points) min(x[0])]);
function max_x(shape_points) = max([ for (x = shape_points) max(x[0])]);
function min_y(shape_points) = min([ for (x = shape_points) min(x[1])]);
function max_y(shape_points) = max([ for (x = shape_points) max(x[1])]);

module build_rotated(profile_list, new_height, new_width, res=4)  {
	minx = min_x(profile_list)* profile_scale;
	maxx = max_x(profile_list)* profile_scale;
	p_width = (maxx - minx);
	miny = min_y(profile_list) * profile_scale;
	maxy = max_y(profile_list) * profile_scale;
	p_height = maxy-miny;
	y_scale = new_height/p_height;
	x_scale = new_width /(p_width*2);
	rotate_extrude($fn=Faceted, convexity = 12) {
		scale([x_scale,y_scale])
		// add 0.1 so there is tiny hole in middle so F6 works
		translate([-minx+Delta, maxy]) // scale profile
		scale([profile_scale, -profile_scale])
			polygon(profile_list);

	}
	// fill in tiny offset hole to ensure F6 works
	fix_start = profile_list[0][1] * profile_scale;
	fix_end = profile_list[len(profile_list)-1][1] * profile_scale;
	echo(profile_list[0],fix_start, fix_end);
	translate([0,0,y_scale*(-fix_end+maxy)])
		cylinder(h=y_scale*(fix_end-fix_start), r=0.2+Delta*y_scale, $fn=Faceted); //
}

// The shapes
difference() {
	// positioning for disassembly
	x_offset = (Disassembled=="yes") ? s_width : 0;
	z_offset = (Disassembled=="yes") ? 0 : s_width*0.04;
	union() {
	// build spinner and base
		translate([x_offset,0,z_offset])
			build_rotated(spinner_points, s_height, s_width);
		build_rotated(base_points, b_height, b_width);
	}
	// cutting X-section
	if( Show_x_section=="yes") {
		translate([0,0,-Delta])
			cube(size=max(s_width, s_height+4+Delta*2));
	}
}
```


[User]
Hey, I'm looking to design a rotating storage bin system, and I'd like it to be highly configurable. I've seen some cool designs online, but they're usually limited in size or number of bins, and they often lack some of the features I'm looking for. Basically, I want to make something like this: https://www.thingiverse.com/thing:976826 (but without the base, I'll take care of that part). I'd like to be able to specify a bunch of parameters that control the size and shape of the wheel and the bins, as well as how many bins there are.

So, I need a script, preferably in OpenSCAD, that lets me configure:

1.  **Wheel Diameter:** I need to be able to set the overall diameter of the wheel that holds the bins (this will be limited by my printer bed size).
2.  **Hub Diameter:** The wheel will have a central hub where the bins attach; I want to specify the outer diameter of that hub.
3. **Support Rod Diameter:** There'll be a central support rod running through the hub; I need to be able to set its diameter (e.g. 5/16" allthread).
4.  **Bin Height:** The height of each bin and the hub itself should be configurable.
5.  **Support Post Height:** I want a central support post for the wheels that can extend above the bin height. This lets me use the wheels as spacers, or I can add nuts as spacers between the wheels if I want them to spin independently. I should be able to set the height of this post separately from the bin height. If it's the same height as the bins, then I don't want it to be there at all.
6.  **Number of Sectors/Bins:** I need to be able to define how many bins there are around the wheel. Ideally, this can be anything from 2 to whatever, though I realize if there are too many, the bins may get very small.
7.  **Petal Protrusion:** I want the bins to be able to extend beyond the main wheel diameter, like petals on a flower. There should be a parameter that lets me control how much they extend.
8.  **Petal Diameter:** To get the desired "petal" shape, I need to be able to set a percentage that controls how much the bin walls bulge outwards, from a simple cylinder to a full out "petal." Think of it as a chord length of a circle, where 0% is no petal and 100% would be the chord at the furthest part of the wheel.
9.  **Notch Diameter:** The front of the bins will have a notch cut out for easier access, and I should be able to control the diameter of the cylinder used to make this notch.
10. **Notch Depth:** Finally, I need to be able to control how deeply that cylinder penetrates the front of the bin, which affects the size and shape of the notch.
11. **Nozzle Diameter:** To compensate for 3D printer nozzle size and how it affects fit, I'll need to be able to adjust a "nozzleDiameter" setting so that parts fit together nicely, and this setting will have to be factored into the bin and wheel parts.

I'd like to have separate modules for the wheel and for the bin, and also a module that combines them, for previewing purposes.  I need to make sure that the script can handle both odd and even numbers of sectors. The bins will need supports, and I'm okay with that, as it allows for a bigger functional volume.

I've found some good resources that use formulas for circle intersection and circular segments, so that's the general approach to use, particularly for the petal shape. Specifically, I'd like to make use of these two math concepts:

*   [http://mathworld.wolfram.com/Circle-CircleIntersection.html](http://mathworld.wolfram.com/Circle-CircleIntersection.html)
*   [http://mathworld.wolfram.com/CircularSegment.html](http://mathworld.wolfram.com/CircularSegment.html)

I think this is all the info you'll need! Let me know if you have any questions. I'm excited to see what you come up with!

[Assistant]
rotatingBin-2a-2.scad:
```
// Released under the Creative Commons: Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0) license.
// http://creativecommons.org/licenses/by-sa/3.0/
// Attribution may be made by linking to:  http://www.thingiverse.com/thing:1003595

//Choose which part to render, or both at once (provides a combined file, plus the bin and wheel separately).
part="both"; // [wheel:Wheel Only,bin:Bin Only,both:Wheel and Bin]

//All measurements in mm unless otherwise indicated.  This is the diameter of the wheel that will hold the bins.  Limit it to a size that fits your bed.
maxDiameter=140;

//There is a central hub to which the bins lock.  This is the outer diameter of that hub.
hubDiameter=35;

//5/16" allthread is 7.937 mm.  Set this to the diameter of your support rod.
rodDiameter=7.937;

//Wall height for each bin.  Also the central hub height.  Note, the bins will total 3 mm more than this due to the bottom catch which slots into the space between wheel spokes, but the top of the bin will line up even with the top of the hub.
binHeight=25;

//The central cylinder for the support rod can be higher than the bin level.  This will let the wheels provide their own spacing and support.  You can also use nuts to separate the wheels.  With nuts the wheels spin perfectly independently. To omit the post, set this to the binHeight.
rodPostHeight=50;

//Number of bins per wheel, each bin the same size.  If you set this to 1, it will fail.  If you want a lot of sectors, you will probably need a wider hub diameter to make the locking tab work correctly.  Also, when "both" parts are selected with a higher number of sectors, the openSCAD preview might fail, but it will still compile fine.
sectors=6;

//A portion of the bin may extend beyond the max diameter of the bin wheel giving the entire assembly the shape of a flower and providing extra space in the bins.  This will also give the bin a shape somewhat like a flower petal, hence the variable name.
petalProtrusion=10;

//PERCENTAGE measurement. The bin protrusion petal is defined by a cylinder with a radius equal to the distance between two points on the bin wall, both of which are equidistant from the center (this chord can range from "0%" (no petal), to 100% where it will be as long as the chord at the most distant position on the wheel circle.  At larger values, the bin front wall might not reach the height of the sidewalls, so check those corners.
petalDiameter=40; //[0:100]

//The front wall of the bin can be notched for easy grip, or almost completely eliminated if you want a tray to just toss things in without much of a front wall.  That notch is cut with a cylinder laid on its side.  The larger the radius, the more the front can be cut away, but note that this is also controlled by the notch depth variable -- i.e, a very wide cylinder that only shaves off 1mm is not going to make a wide cut.
notchDiameter=40;

//When cutting the notch, this variable will define how deeply the cylinder defined above is plunged into the front of the bin.  The depth is measured from the top of the bin wall.  You could even make a hole by making the notch depth larger than the notch diameter.
notchDepth=10;

//This attempts to account for side ooze based on the nozzle diameter, but it can also be used more generally.  Setting this number lower will result in a tighter fit; setting it higher in a looser fit.
nozzleDiameter=0.5;

/* [Hidden] */
// preview[view:south, tilt:top]

$fn=100;

//account for top cap with a +6mm overall height and -2mm for a global Z height shift
rodPostHeightValue=rodPostHeight-4;

railLength=maxDiameter/2;
wheelRadius=railLength;
hubRadius=hubDiameter/2;
rodRadius=rodDiameter/2;
nozzleRadius=nozzleDiameter/2;
binInnerRadius=hubRadius+nozzleRadius+0.5;

sectorDegrees=360/sectors;

// the outer wall of a bin has a lenght of radius minus centeral hub.  At any position on that
// length there is a cord that would be the diameter of a circle that mostly fits inside the bin.

heightOfChordPoint=27+(wheelRadius*petalDiameter/100);

// Now that we know which chord we want, we'll calculate it's length.
// chord formula:  chord=2*(radius)*sin(1/2*sectorDegrees)

smallCircleDiameter=2*heightOfChordPoint*sin(1/2*sectorDegrees);

// we'll use the diameter of the small circle as the radius for the petal so we can get a wider lens
// I know this variable assignment not necessary, but I have it here for my reference

petalRadius=smallCircleDiameter/2;

// To get the just a lens, we have to adjust the center with relationship to the outer diameter desired
// after adding the bin protrusion.

petalTranslateX=(wheelRadius+petalProtrusion)-petalRadius;

// http://mathworld.wolfram.com/CircularSegment.html
// s=binOuterArcLenght; R=maxDiameter/2; angle=sectorsDegrees, we want "a"
// a=2*R*sin(1/2*angle)

// this is the cord at the widest point of the bin on the line formed by the outside edge of the wheel.
wheelChord=2*wheelRadius*sin(1/2*sectorDegrees);

// we want to know the petalChord at position r, r=R-petalProtrusion where R is the radius of the petal circle.
// if the petalChord <= wheelChord, all is well, otherwise the side walls get extended and we don't know where to cut offset
// the sidewall chamfer. We can't just use the outside circular wheel trim because the the petal center is shifted relative to the wheel
// radius and the chamfer gets chopped at the wheel radius, which is too short because of the extended sidewalls of the bin which
// go beyond the wheel radius.
// We can use the regaular wheel trip if the petal chord is <= wheel chord at the outside edge, but must use a different one based on the
// petal circle if the petal chord is > wheel chord.
// petalChord=2*petalRadius*sin(1/2*sectorDegrees);
// http://mathworld.wolfram.com/Circle-CircleIntersection.html
// d= X-position of petal center

petalCenterX=( pow(petalRadius,2)-pow(petalRadius,2)+pow(wheelRadius,2))/(2*petalTranslateX );

// this is the chord where the petal circle and the wheel circle intersect.
sharedChord=(1/petalTranslateX)*sqrt( (-petalTranslateX+petalRadius-wheelRadius)*(-petalTranslateX-petalRadius+wheelRadius)*(-petalTranslateX+petalRadius+wheelRadius)*(petalTranslateX+petalRadius+wheelRadius) );

finalAssembly();

module finalAssembly()
{
	if (part=="wheel")
	{
		if (sectors%2>0)
		{
			wheelAssemblyA();
		} else {
			wheelAssemblyB();
		}

	} else if (part=="bin")
	{
		rotate([0,0,90]) binAssembly();

	} else if (part=="both")
	{
		if (sectors%2>0)
		{
			wheelAssemblyA();
		} else {
			wheelAssemblyB();
		}
		rotate([0,0,90]) binAssembly();
	} else
	{
		cylinder(r=10, h=10);
		echo ("==================================================================");
		echo ("Error -- you must choose to print one or the other parts, or both.");
		echo ("==================================================================");
	}
}

// --------------------------
// wheel part

module wheelAssemblyA() //for odd number of sectors, go all the way to 360
{
	difference()
	{
		union()
		{
			for (i=[-sectorDegrees/2:sectorDegrees:360+(sectorDegrees/2)])
			{
				rotate([0,0,i]) rail();
			}

			outerRing();
			innerRing();
		}
		basicWheelCuts();
	}
}

module wheelAssemblyB() //for even number of sectors stop at (360-sectorDegrees) else you double up on one rail
{
	difference()
	{
		union()
		{
			for (i=[-sectorDegrees/2:sectorDegrees:360])
			{
				rotate([0,0,i]) rail();
			}

			outerRing();
			innerRing();
		}

		basicWheelCuts();
	}
}

module rail()
{
	color("red")
	translate([-1,0,0]) union()
	{
		translate([-4,0,0]) cube(size=[10,railLength,2]);
		translate([0,0,0])  cube(size=[2,railLength-6.5,7]);

		difference()  //rail support
		{
			union()
			{
				//inside hub wall support
				translate([0,rodRadius,0]) cube(size=[2,(hubRadius-rodRadius),binHeight-4]);

				//block for curved support outside hub wall
				translate([0,hubRadius-1,0]) cube(size=[2,(wheelRadius-hubRadius-10),binHeight-4]);
			}

			translate([-1,hubRadius+binHeight-4,binHeight+7])
			union()
			{
				translate([0,0,0]) rotate([0,90,0]) cylinder(r=binHeight, h=4);
				color("blue") translate([0,-binHeight,0]) cube(size=[4,wheelRadius,wheelRadius]);
				color("pink") translate([0,0,-binHeight]) cube(size=[4,wheelRadius,wheelRadius]);
			}
		}

		difference()  //rounded rail end
		{
			translate([0,railLength-8,0]) rotate([0,90,0]) cylinder(r=8, h=2);
			translate([0,railLength-8,-10]) cylinder(r=10, h=10);
		}
	}
}

module outerRing()
{
	color("blue")
	difference()
	{
		translate([0,0,0])  cylinder(r=wheelRadius, h=2);
		translate([0,0,-1]) cylinder(r=wheelRadius-5, h=4);
	}
}

module outerRingTrim()
{
	difference()
	{
		translate([0,0,-1]) cylinder(r=wheelRadius+petalProtrusion+10, h=10);
		translate([0,0,-2]) cylinder(r=wheelRadius, h=12);
	}
}

module innerRing()
{

	union()
	{
		//Post cap flare out
		difference()
		{
			translate([0,0,rodPostHeightValue]) cylinder(r=rodRadius+4.5, h=5);
			translate([0,0,rodPostHeightValue]) rotate_extrude(convexity=10) translate([(rodDiameter+3.5),0,0]) circle(r=5);
		}

		//friction reducing ring at top of post cap
		difference()
		{
			translate([0,0,rodPostHeightValue+5]) cylinder(r=rodRadius+4.5, h=1);
			translate([0,0,rodPostHeightValue+5]) cylinder(r=rodRadius+2.5, h=2);
		}

		cylinder(r=rodRadius+2.5, h=rodPostHeightValue); //central post wall

		//hub
		difference()
		{
			cylinder(r=hubRadius, h=binHeight+2);
			translate([0,0,-1]) cylinder(r=hubRadius-2, h=binHeight+4);
		}
	}
}

module hubNotches()
{
	rotate([0,0,sectorDegrees/2]) union()
	{
		translate([-(2.75+nozzleRadius),hubRadius-4.5,-0.1]) cube(size=[5.5+nozzleDiameter,(wheelRadius-hubRadius-5),8+nozzleRadius]);
		translate([0,hubRadius-4.5,-0.1]) cylinder(r=(5.5+nozzleDiameter)/2, h=2.2);
	}

}

module basicWheelCuts()
{
	union()
	{
		outerRingTrim();  // trim rail edges that stick out of outer ring
		translate([0,0,-1]) cylinder(r=rodRadius+nozzleRadius+0.1, h=rodPostHeightValue+20);  //central hole
		for (i=[0-(sectorDegrees/2):sectorDegrees:360+(sectorDegrees/2)])
		{
			rotate([0,0,i]) hubNotches();
		}
	}
}

// --------------------------
// bin part

module binAssembly()
{
	union()
	{
		chamferBin();
		difference()
		{
			binBasicShape();
			translate([0,0,2]) binBasicShapeCut();
		}

		translate([0,0,-1]) baseCatch();

		// locking tab to fit in ring notches
		color("pink") translate([hubRadius-4,-(4-nozzleRadius)/2,-1]) cube(size=[6,4-nozzleRadius,6]);
	}
}

module binBasicShape()
{
	difference()
	{
		union()
		{
			translate([0,0,2]) cylinder(r=wheelRadius, h=binHeight);
			translate([petalTranslateX,0,2]) cylinder(r=(petalRadius), h=binHeight);
		}

		union()
		{
			binCenterHole(0);
			binAngularTrim(0);
		}
	}
}

module binBasicShapeCut()
{
	union()
	{
		difference()
		{
			union()
			{
				translate([0,0,2]) cylinder(r=wheelRadius-1.5, h=binHeight);
				translate([petalTranslateX,0,2]) cylinder(r=petalRadius-1.5, h=binHeight);
			}

			union()
			{
				binCenterHole(1.5);
				binAngularTrim(1.5);
			}
		}

		binThumbNotch();
	}
}

module binCenterHole(adjustR)
{
	translate([0,0,-1]) cylinder(r=binInnerRadius+adjustR, h=binHeight+4);
}

module binAngularTrim(offset)
{
	// with center true, it is much easier to do the rotations, but the translate requirs undoing half of every dimension
	rotate([0,0,sectorDegrees/2])  translate([0,(wheelRadius)-1.5-offset,(binHeight/2)+2])	cube(size=[maxDiameter*2,maxDiameter,binHeight+2], center=true);
	rotate([0,0,-sectorDegrees/2]) translate([0,(-wheelRadius)+1.5+offset,(binHeight/2)+2])	cube(size=[maxDiameter*2,maxDiameter,binHeight+2], center=true);

}

module chamferBin()
{
	//rotate ([0,0,0]) //compensate for the difference in rotation between bin chamfers
	difference()
	{
		union()
		{
			//inside circular chamfer
			translate([0,0,3.5]) rotate_extrude(convexity=10) translate([binInnerRadius+1.5,0,0]) polygon([[0,0],[0,4],[4,0]]);

			//outside circular chamfer

			difference()
			{
				translate([0,0,3.5]) rotate_extrude(convexity=10) translate([wheelRadius-1.5,0,2]) polygon([[0,0],[-4,0],[0,4]]);
				translate([petalTranslateX,0,0]) cylinder(r=petalRadius-1.5, h=binHeight);
			}

			difference()
			{
				translate([petalTranslateX,0,3.5]) rotate_extrude(convexity=10) translate([petalRadius-1.5,0,2]) polygon([[0,0],[-4,0],[0,4]]);
				translate([0,0,2]) cylinder(r=wheelRadius-1.5, h=binHeight);
			}

			intersection()
			{
				translate([0,0,3.5]) rotate_extrude(convexity=10) translate([wheelRadius-1.5,0,2]) polygon([[0,0],[-4,0],[0,4]]);
				translate([petalTranslateX,0,3.5]) rotate_extrude(convexity=10) translate([petalRadius-1.5,0,2]) polygon([[0,0],[-4,0],[0,4]]);
			}

			difference()
			{
				union()
				{
					//negative X strait chamfer with bin centered longitudinally on positive X axis
					color ("pink") rotate([0, 0, -sectorDegrees/2]) translate([binInnerRadius+1,-2,7.5]) rotate([0,90,0]) translate([0,5,0])  linear_extrude(height=wheelRadius-hubRadius+petalProtrusion) polygon([[0,0],[4,4],[4,0]]);

					//positive X strait chamfer with bin centered longitudinally on positive X axis
					color ("gray") rotate([0, 0, sectorDegrees/2])  translate([binInnerRadius+1,-2,7.5]) rotate([0,90,0]) translate([0,-5,0]) linear_extrude(height=wheelRadius-hubRadius+petalProtrusion) polygon([[4,0],[4,4],[0,4]]);
				}

				if (sharedChord<=wheelChord)
				{
					outerRingTrim();
				} else {
					petalOuterRingTrim();
				}
			}
		}

		union()
		{
			binAngularTrim(0);
			binCenterHole(0);
		}
	}
}

module petalOuterRingTrim()
{
	color("orange") rotate([0,0,90])  translate([0,-petalTranslateX,1.9])
	difference()
	{
		cylinder(r=(maxDiameter), h=8);
		union()
		{
			translate([0,0,-1]) cylinder(r=petalRadius, h=10);
			translate([-maxDiameter,0,-1]) cube([maxDiameter*2,maxDiameter,10]);
		}
	}
}

module binThumbNotch()
{
	difference()
	{
		color("pink") translate([hubRadius+10,0,binHeight+2+notchDiameter/2-notchDepth]) rotate([0,90,0]) cylinder(r=notchDiameter/2, h=maxDiameter);
		union()
		{
			cylinder(r=hubRadius+10, h=maxDiameter);
			binAngularTrim(1.5);
		}
	}
}

module baseCatch()
{
	color("purple")
	difference()
	{
		difference()
		{
			translate([0,0,0]) cylinder(r=wheelRadius-5.5-nozzleRadius, h=3);
			translate([0,0,-1]) cylinder(r=binInnerRadius, h=binHeight+5);
		}

		translate([0,0,-binHeight/2]) binAngularTrim(nozzleRadius+4.5);
	}
}

```


[User]
I want to create a design with multiple cubes, each the same size, but with different colors, and arranged in a row. I'd like to be able to control the dimensions of the cubes, the spacing between them, and of course, the number of cubes. Here's how I envision it:

*   **Cube Dimensions:** Each cube should have a customizable width, thickness, and height.
*   **Cube Spacing:** I need to be able to define the distance between each cube in the row.
*   **Number of Cubes:** I want to specify how many cubes to place in the row.
*   **Colors:** Each cube should have its own color. I'd like to provide a list of colors, and the code should automatically cycle through them for each cube. If there aren't enough colors for all the cubes, it should loop back to the beginning of the color list.

I don't need the code to do anything fancy, like rotate or scale the cubes independently - I just need a simple row of colored cubes, all the same size. Can you help me with that? Please make sure I can set all of these things as parameters at the top of the file. I don't need any libraries like BOSL or anything.

[Assistant]
mytest.scad:
```
//Cube height
height = 4;
//Cube thickness
thickness = 3; //[1,2,3,4,5]
//Cube width
width = 2; //[2:5]

color([1,0,0]) cube([width,thickness,height]);
translate([3,0,0])
color([0,1,0]) cube([width,thickness,height]);
translate([6,0,0])
color([0,0,1]) cube([width,thickness,height]);
```


[User]
I'm looking for an OpenSCAD design for a small clip, meant to hold a filament or cable. It should be parametric, so I can adjust it for different filament or cable diameters and to change the tightness of the clip.

The basic idea is a roughly circular opening with a slit cut into the side, creating a C-shape. The clip will hold the filament within this C.

Here's the core functionality that I need:

1.  **Filament/Cable Diameter (filamentWidth):** This will set the diameter of the object intended to be held in the clip.

2.  **Clip Height (clipHeight):** The height of the clip itself.

3.  **Clip Width (clipWidth):** This will control how thick the walls of the clip are.

4.  **Tolerance:** An important variable, as it controls the gap in the C-shape of the clip opening, and therefore how tightly it grips the filament or cable. This also needs to be able to be negative if necessary.

The clip will be created by doing a difference between two cylinders. The larger cylinder will define the outer diameter and the smaller cylinder, combined with a rotated and translated cube, will create the gap.

I'd like the design to have these requirements:
    *   The main cylinder will have a diameter of `filamentWidth + clipWidth * 2`
    *   The cylinder used to create the hole has a diameter of `filamentWidth + tolerance`, and should be slightly taller
    *   The cube that creates the gap needs to be rotated and translated to achieve a C shape
    *   The cube's dimensions need to be able to adjust to match changes in `filamentWidth`, `clipWidth`, and `tolerance`.
    *   The code should use `$fn = 200` for smooth cylinders.

I'm hoping that the design can be easily adjustable through a customizer so I can fine-tune it for my specific use case.

[Assistant]
FilamentClip.scad:
```
filamentWidth = 1.75;
clipHeight = 6;
clipWidth = 2.5;
tolerance=0.4;

module O (extra) {
    difference() {
        cylinder(d=filamentWidth+clipWidth*2, h=clipHeight, center=true);
        cylinder(d=filamentWidth+tolerance+extra, h=clipHeight+1, center=true);
    }
}
$fn=200;

O(tolerance);
difference() {
    translate([(filamentWidth+clipWidth+tolerance),0,0])
    O(0);
    translate([filamentWidth+clipWidth+tolerance,0,0])
    rotate([0,0,29])
    translate([0,(filamentWidth+clipWidth)/2,0])
    cube([filamentWidth+tolerance,filamentWidth+clipWidth,clipHeight+1],center=true);
}
```


[User]
Hi there! I'm looking for some help designing a modular linkage system in OpenSCAD. I've seen similar designs before, and I'd like to make one tailored to my needs, so I'm hoping you can help!

The system should consist of a few different types of parts, all designed to be connected using bolts and nuts. The main part will be a simple link, essentially a bar with a hole at each end. The other two parts will be mounting plates - one horizontal and one vertical.

Here are the specifics for all the parts:

**General Parameters:**

*   **Bolt Hole Diameter:** I'm using 1/4-20 bolts, so the hole diameter should be 7mm (a bit more than the 0.25in diameter for some tolerance).
*   **Link Thickness:** This will vary, but it needs to be at least 1.5x the link hole diameter. I need to be able to set it, with a default of 12.7mm.
*   **Layer Tolerance:** There should be a small percentage tolerance to adjust how tightly the parts fit together. I'd like to set this as a percentage. The default will be 5%.
*   **Tab Extra:** Some extra margin on the sides for easier rotation. This should default to 2mm.

**Link Specifics:**

*   **Link Length:** The length of the bar itself between the mounting points. Default of 40mm.

**Horizontal Plate Specifics:**

*   **Mounting Hole Diameter:** 4.4mm for #8 screws
*   **Number of Holes (X, Y):** The number of mounting holes in the X and Y directions, both defaulting to 2
*   **Plate Thickness:** Default 2mm
*   **Corner Radius:** Round the corners of the plate with a default 2mm radius
*   **Extra Width and Height:** Allow for optional additions to the plate size beyond just what's required for the mounting holes. Both default to 0.
*   Plate Dimensions: Plate width and height should be based on the number of holes, the hole diameter, and some multiplier of 3.  These dimensions can be added to or modified with the extra width and extra height.

**Vertical Plate Specifics:**

*   **Mounting Hole Diameter:** 4.4mm for #8 screws
*   **Number of Holes (Y, Z):** The number of mounting holes in the Y and Z directions, with a default of 1 and 3, respectively.
*  **Plate Thickness:** Default 3mm
*   **Extra Width and Height:** Allow for optional additions to the plate size beyond just what's required for the mounting holes. Both default to 0.
*   Plate Dimensions: Plate width and height should be based on the number of holes, the hole diameter, and some multiplier of 3.  These dimensions can be added to or modified with the extra width and extra height.

I'd like the whole system to be parametric, so I can adjust any of these values and get a new part. Also, it would be great if the code was well-structured and commented.

I'm not sure exactly how to do the internal calculations, but the included file seems to use `hull_chain` to connect the parts. So please do something similar.

I would also like to use a module for the cube that allows for alignment and rounding. In the provided file it is called `cube2`. This module should also be used for generating the link tabs, the mounting plates and the cutouts.

Can you help me with this? I think it might take a few files to make this work right.

[Assistant]
linkos-v1.scad:
```
//use <tyler.scad>;

/**
 * Linkos: by Tyler Bletsch (Tyler.Bletsch@gmail.com)
 */

// preview[view:south west, tilt:top diagonal]

$fn=16*1;

E=0.05*1;
inch = 25.4*1;

/* [Global] */

// Type of link to show: LINK mates to another link, PLATE_HORIZONTAL and PLATE_VERTICAL are used to mount to whatever object you're messing with.
part = "LINK"; // [LINK, PLATE_HORIZONTAL, PLATE_VERTICAL]

/* [General] */

// Length of the link, excluding the mounting stuff at the ends (mm)
link_len = 40;

// Diameter of the hole used in linkages (mm). I like to use 1/4-20 bolts, so I set this to 0.25" with a 10% margin, or about 7mm.
link_hole_dia = 7;
/// (0.25*inch*1.10)

// Thickness of the link (mm). For a nice look, make this bolt_length-nut_thickness. For example, you can use 3/4" bolts with 1/4"-thick nuts by setting this to 1/2" (12.7mm). This variable is forced to be at least 50% greater than link_hole_dia for strength.
thickness_ = 12.7;
thickness = max(link_hole_dia*1.5,thickness_);

// Extra margin on the side of the link to allow for clean swiveling (mm).
tab_extra = 2;

// How much to loosen the fit of the links (%).
layer_tolerance_percent = 5; // [0:25]

layer = thickness/3 * (1 - layer_tolerance_percent/100);

/* [Horizontal plate] */

// Diameter for mounting holes on the horizontal plate (mm). 4.4mm works for #8 screws.
hplate_hole_dia = 4.4;

// Number of holes in the X direction
hplate_num_holes_x = 2; // [1:4]

// Number of holes in the Y direction
hplate_num_holes_y = 2; // [1:4]

// Thickness of the horizontal plate (mm)
hplate_thickness = 2;

// Rounding radius of the plate corners (mm)
hplate_corner_radius = 2;

// Optional: you can boost the plate width irrespective of the holes here (mm)
hplate_extra_width = 0;

// Optional: you can boost the plate height irrespective of the holes here (mm)
hplate_extra_height = 0;

hplate_width = 3*hplate_hole_dia*hplate_num_holes_x + hplate_extra_width;
hplate_height= 3*hplate_hole_dia*hplate_num_holes_y + hplate_extra_height;

/* [Vertical plate] */

// Diameter for mounting holes on the vertical plate (mm). 4.4mm works for #8 screws.
vplate_hole_dia = 4.4;

// Number of holes in the Y direction
vplate_num_holes_y = 1; // [1:4]

// Number of holes in the Z direction
vplate_num_holes_z = 3; // [1:4]

// Thickness of the plate (mm)
vplate_thickness = 3;

// Optional: you can boost the plate width irrespective of the holes here (mm)
vplate_extra_width = 0;

// Optional: you can boost the plate height irrespective of the holes here (mm)
vplate_extra_height = 0;

vplate_width =(3*vplate_num_holes_y)*vplate_hole_dia+vplate_extra_width;
vplate_height=(3*vplate_num_holes_z)*vplate_hole_dia+vplate_extra_height;

// hull each child in a row, one after another -- makes a "snake" of the given forms
module hull_chain() {
    for (i = [1:$children-1]) {
        hull() children([i-1:i]);
    }
}

left_center_x  = 0*0;
left_tab_start_x = left_center_x+thickness/2+tab_extra;
right_center_x = thickness/2+tab_extra+link_len+tab_extra+thickness/2;
right_tab_start_x = right_center_x-thickness/2-tab_extra;

difference() {
    if (part=="LINK") {
        hull_chain() {
            translate([left_center_x,0,thickness/2]) rotate([90]) cylinder(d=thickness, h=thickness, center=true);
            translate([left_tab_start_x,0]) cube2([E,thickness,thickness],aligns="RCL");
            translate([right_tab_start_x,0]) cube2([E,thickness,layer],aligns="RCL");
            translate([right_center_x,0]) cylinder(d=thickness, h=layer, center=false);
        }
    } else if (part=="PLATE_HORIZONTAL") {
        hull_chain() {
            translate([left_center_x,0,thickness/2]) rotate([90]) cylinder(d=thickness, h=thickness, center=true);
            translate([left_tab_start_x,0]) cube2([E,thickness,thickness],aligns="RCL");
            translate([right_tab_start_x,0]) cube2([E,hplate_height,hplate_thickness],aligns="RCL");
            translate([right_tab_start_x,0]) cube2([hplate_width,hplate_height,hplate_thickness],xy_radius=hplate_corner_radius, aligns="LCL");
        }
    } else if (part=="PLATE_VERTICAL") {
        hull_chain() {
            translate([left_center_x,0,thickness/2]) rotate([90]) cylinder(d=thickness, h=thickness, center=true);
            translate([left_tab_start_x,0]) cube2([E,thickness,thickness],aligns="RCL");
            translate([right_tab_start_x,0]) cube2([E,vplate_width,thickness],aligns="RCL");
        }
        translate([right_tab_start_x,0]) cube2([vplate_thickness,vplate_width,thickness+vplate_height],aligns="LCL");
    }

    // left hole
    translate([0,0,thickness/2]) rotate([90]) cylinder(d=link_hole_dia,h=thickness+E,center=true);

    // left cutout (to make two tabs)
    translate([0,0,-E]) cube2([2*(thickness/2+tab_extra),thickness-2*layer,thickness+2*E],aligns="CCL");

    // right hole
    if (part=="LINK") {
        translate([right_center_x,0]) cylinder(d=link_hole_dia, h=thickness+E, center=true);
    } else if (part=="PLATE_HORIZONTAL") {
        if (hplate_hole_dia && hplate_num_holes_x && hplate_num_holes_y) {
            translate([right_tab_start_x,0,-E]) {
                for (i = [0:hplate_num_holes_x-1]) for (j = [0:hplate_num_holes_y-1]) {
                    x = hplate_hole_dia*(1.5+3*i);
                    y = hplate_hole_dia*(1.5+3*(j-hplate_num_holes_y/2));
                    translate([x,y,0]) cylinder(d=hplate_hole_dia,h=hplate_thickness+2*E);
                }
            }
        }
    } else if (part=="PLATE_VERTICAL") {
        if (vplate_hole_dia && vplate_num_holes_y && vplate_num_holes_z) {
            translate([right_tab_start_x-E,0]) {
                for (i = [0:vplate_num_holes_y-1]) for (j = [0:vplate_num_holes_z-1]) {
                    echo(i,j);
                    y = vplate_hole_dia*(1.5+3*(i-vplate_num_holes_y/2));
                    z = vplate_hole_dia*(1.5+3*j) + thickness;
                    translate([0,y,z]) rotate([0,90]) cylinder(d=vplate_hole_dia,h=vplate_width+2*E);
                }
            }
        }
    }

}

module cube2(size,aligns="LLL",radius=0,xy_radius=0) {
    real_size = len(size) ? size : [size,size,size];
    tr = [
        aligns[0]=="C" ? 0 : aligns[0]=="R" ? (-real_size[0]/2) : (+real_size[0]/2),
        aligns[1]=="C" ? 0 : aligns[1]=="R" ? (-real_size[1]/2) : (+real_size[1]/2),
        aligns[2]=="C" ? 0 : aligns[2]=="R" ? (-real_size[2]/2) : (+real_size[2]/2)
    ];
    translate(tr) {
        if (xy_radius>0) {
            inner_size = [for (v=real_size) v-min(xy_radius*2,v)];
            linear_extrude(real_size[2], center=true) offset(r=xy_radius) square([inner_size[0],inner_size[1]], center=true);
        } else if (radius>0) {
            if (radius*2 >= max(real_size)) {
                resize(real_size) sphere(1);
            } else {
                inner_size = [for (v=real_size) v-min(radius*2,v)];
                minkowski() {
                    cube(inner_size,center=true);
                    sphere(r=radius);
                }
            }
        } else {
            cube(real_size,center=true);
        }
    }
}

```