[User]
Okay, I need to design a thrust bearing, also sometimes called a vertical bearing, and I'd like to use OpenSCAD. I've got a basic version working, but I need it to be fully parametric and a bit more robust.

Here's the design concept: it's a ring with ball bearings that roll between two races. The basic idea is that there's an outer ring, and inner ring, and then ball bearings are trapped between them in a circular pattern. The bearings themselves roll to allow rotational movement, but support a vertical force.

Here are the key parameters I need:

*   **`R` (Rolling Radius):** This is the radius of the circle on which the center of each ball bearing sits. So, you can think of it as the radius of the path the ball bearings would take if they were rolling.
*   **`N` (Number of Balls):** The number of ball bearings in the bearing.
*   **`W` (Wall Width):** This parameter represents the width of the material surrounding the ball bearings – both between the bearing and the outer race, and between the bearing and the inner race.
*   **`ball_clearance`:** A small amount of clearance between the balls and races. It should be an adjustable parameter separate from the wall width
*   **`height`:** The height of the bearing (measured along the z-axis). This is currently determined by the ball radius but should be parameterizable.

Here's what I'd like the OpenSCAD code to do:

1.  **Calculate Ball Radius (`r`):** The radius of the individual ball bearings is determined by the `R` and `N` parameters. You can use the formula `r = R*sin(180/N)` for this.
2.  **Outer Race:** Create a cylinder representing the outer race. This cylinder's radius should be `R+r+W+ball_clearance` and its height should be `height`.
3.  **Inner Race:** Create a cylinder representing the inner race. This cylinder's radius should be `R-r-W-ball_clearance` and its height should be `height`.
4.  **Ball Cutouts:** Use difference() operation to create cutouts for the balls. Position them based on `R` and rotate them evenly around the circumference.
5.  **Ball Bearings (optional):** Optionally (as a toggle in the parameters), create spheres representing the ball bearings. Their radius should be `r`. Place them in the same positions as the cutouts. This will be helpful for visualization but may not be necessary for the final part.

I'd like to ensure the code is clean and easy to understand, with appropriate comments explaining the logic.

Could you generate a parametric OpenSCAD file that achieves this? Please provide the full, working .scad code as your response. I do *not* expect to have any additional libraries besides OpenSCAD itself.

[Assistant]
VERTICAL-BEARING.scad:
```
// radius of the circle of balls (average between external and internal radiuses)
R = 25;
// number of balls
N = 10;
//walls width (mm)
W = 0.5;

r = R*sin(180/N);

//difference()
//{
//	cylinder(h=8, r=20, center=true);
//	cylinder(h=8, r=10, center=true);
//}
difference()
{
	cylinder(h=R*sin(180/N)+2*W, r=R+r+W, center=true,$fn=50);
	for(i=[1:N])
  {
		rotate( i * 360 / N, [0, 0, 1])
		translate([0, R, 0])
    sphere(r = r,$fn=50);
	}
	cylinder(h=R*sin(180/N)+2*W, r=R-r-W, center=true,$fn=50);
}

	for(i=[1:N])
  {
		rotate( i * 360 / N, [0, 0, 1])
		translate([0, R, 0])
    sphere(r = r-W,$fn=50);
	}
```


[User]
Okay, I'm looking to design something similar to the "Stick Bowl" but with more explicit control over the shapes and a few more advanced options. I'd like an OpenSCAD file that allows me to create a structure composed of multiple rings of sticks, with the ability to customize the shape of the sticks, their arrangement, and how the rings connect to each other.

Here's a breakdown of what I want:

**Overall Structure:**

*   **Multiple Rings:** The design should be built from a series of concentric rings of sticks, where each ring can be independently configured. There needs to be a way to define how many rings I want.
*   **Base/Bottom:** I want the option to add a solid base (like a bottom to a bowl), and I'd like to control the size of this bottom piece, its height, and its starting height. This base should be a simple cylinder.
*   **Bounding Box:** The design must also respect a maximum height and a maximum width, so the design can be cropped on the X/Y/Z axis.
*   **Stick Shape Options:** I want to be able to choose the cross-sectional shape of each stick from at least the following:
    *   Rectangle (beam)
    *   Circle (cylinder)
    *   Hexagon
    *   Triangle
*  **Stick Scaling:** I need to be able to scale the sticks in their 'width' or 'thickness' direction (the second of three possible dimensions when using the given shapes).

**Ring Customization:**

For each ring, I need to control the following:

*   **Radius:** The radius of the circle where the sticks of that ring are positioned.
*   **Height:** The vertical height at which the ring is located.
*  **Skew (Rotation):** The degree to which the ring is rotated around the Z-axis, so that subsequent rings are offset from one another.
*   **Extension:** How far the sticks should extend past the defined radius (basically a "length" that is added to each stick as it comes off of each radius point).
*   **Stick Count:** The number of sticks within a ring.  This could either be a global control, or per-ring. If global, I need an additional parameter for degrees between each stick so that I could optionally make some rings denser than others.
* **Ring Connection:** The sticks in each ring must connect to both the previous ring, and optionally the next ring. I need to be able to specify the radii, heights, skews, and extensions for the ring before and the ring after each stick.

**Parametric Design:**

*   The entire design needs to be parametric, with all of the above values controllable via variables at the top of the SCAD file.
*   I need to be able to add or remove rings and modify their properties in a simple way. I'd prefer not to have to change the code too much if I want to add a ring or two.

**Libraries:**

I'm already familiar with the `MCAD/regular_shapes.scad` library, so please use that to help generate the shapes I need. Also, I want to use the `utils/build_plate.scad` library to visualize this object in the context of a build plate, as well as allow me to configure the build plate size.

In summary, I want a highly customizable stick structure, with rings of varying heights, radii, rotations, and stick shapes, and with an ability to place a bottom, and a limit of maximum height and width. This should be parametric and easy to modify by editing variables at the top of the file. Please make sure the sticks can connect previous and next rings to form a complete structure.

[Assistant]
stickbowl_v05.scad:
```
// Licence: Creative Commons, Attribution
// Created: 16-02-2013 by bmcage http://www.thingiverse.com/bmcage

// An attempt at customizable math art: Stick Bowl

//Make it a bowl or not
add_bottom = "yes";  //[yes, no]
//If a bowl, size of the bottom
bottom_height = 2; //[1:20]

//Form of the sticks to use
base_form = "beam";  // [beam, cylinder, hexagon, triangle]
//Size of the sticks
size = 4; //[1:20]
//Scaling in second direction of sticks
scale_second_dir = 1; // [0.1, 0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1,2,3,4,5]

//start radius
r0 = 30; //[2:200]

// number of sticks per ring
nrsticks = 10; //[4:50]
grad_per_stick = 360 / nrsticks;

// radius of the first ring
first_radius = 50; // [0:200]
// height if the first ring
first_height = 40;  // [0:300]
// extend beyond radius of first sticks
first_extend = 1;  //[0:100]
//how skewed (rotated) first ring is in degrees
first_skew = 9;    //[-170:170]

// radius of the second ring (0 for no ring)
second_radius = 30; // [0:200]
// height if the second ring
second_height = 1;  // [0:300]
// extend beyond radius of second sticks
second_extend = 1;  //[0:100]
//how skewed (rotated) second ring is in degrees
second_skew = 9;    //[-170:170]

// radius of the third ring (0 for no ring)
third_radius = 50; // [0:200]
// height if the third ring
third_height = 40;  // [0:300]
// extend beyond radius of third sticks
third_extend = 1;  //[0:100]
//how skewed (rotated) third ring is in degrees
third_skew = 9;    //[-170:170]

// radius of the fourth ring (0 for no ring)
fourth_radius = 30; // [0:200]
// height if the fourth ring
fourth_height = 1;  // [0:300]
// extend beyond radius of fourth sticks
fourth_extend = 1;  //[0:100]
//how skewed (rotated) first ring is in degrees
fourth_skew = 9;    //[-170:170]

// radius of the fifth ring (0 for no ring)
fifth_radius = 0; // [0:200]
// height if the fifth ring
fifth_height = 20;  // [0:300]
// extend beyond radius of fifth sticks
fifth_extend = 2;  //[0:100]
//how skewed (rotated) fifth ring is in degrees
fifth_skew = -27;    //[-170:170]

// radius of the sixth ring (0 for no ring)
sixth_radius = 0; // [0:200]
// height if the sixth ring
sixth_height = 40;  // [0:300]
// extend beyond radius of sixth sticks
sixth_extend = 5;  //[0:100]
//how skewed (rotated) sixth ring is in degrees
sixth_skew = 90;    //[-170:170]

//maximum height of the object (object cut there)
max_height = 150; // [100:400]
//maximum width of the object (object cut there)
max_width = 145;  // [100:400]

use <MCAD/regular_shapes.scad>;
use <utils/build_plate.scad>;

//for display only, doesn't contribute to final object
build_plate_selector = 0; //[0:Replicator 2,1: Replicator,2:Thingomatic,3:Manual]

//when Build Plate Selector is set to "manual" this controls the build plate x dimension
build_plate_manual_x = 100; //[100:400]

//when Build Plate Selector is set to "manual" this controls the build plate y dimension
build_plate_manual_y = 100; //[100:400]

build_plate(build_plate_selector,build_plate_manual_x,build_plate_manual_y);

bottomstart = -bottom_height; //-first_extend*first_radius/sqrt(pow(first_height,2)+pow(first_radius,2));

module baseform(length){
  scale([1,scale_second_dir,1]){
  if (base_form == "beam") {
    translate([-size/2, -size/2, 0]) cube(size=[size, size, length]);
  }
  if (base_form == "cylinder") {
    cylinder(r=size, h=length, $fn=20);
  }
  if (base_form == "hexagon") {
    linear_extrude(height=length) hexagon(size);
  }
  if (base_form == "triangle") {
    linear_extrude(height=length) triangle(size);
  }
  }
}

module ringbaseform(r1, h1, skew1, r2, h2, skew2, extend){
  // a form with correct length if first ring is at r1, h1, and
  // second at r2, h2, and extend is extend
  //
  // P = (r1, 0, h1), Q = (r2 cos(skew2), r2 sin(skew2), h2)
  // dir_new = (P-Q) / norm(P-Q) = (a,b,c)
  // rotate to new direction, euler angles
  // th_x = atan2(b,c); th_y = atan(-a, sqrt(b*b+c*c)) ; th_z = 0
  rotate([0,0,skew1])
  translate([r1, 0, h1])
  help_ringbaseform(r2*cos(-skew2)-r1, r2*sin(-skew2), h2-h1, extend);
}

module help_ringbaseform(a, b, c, extend)
{
  rotate([atan2(b/sqrt(pow(a, 2) + pow(b, 2) + pow(c, 2)),
                c/sqrt(pow(a, 2) + pow(b, 2) + pow(c, 2))), 0, 0])
  rotate([0, atan2(a/sqrt(pow(a, 2) + pow(b, 2) + pow(c, 2)),
     sqrt(b*b/(pow(a, 2) + pow(b, 2) + pow(c, 2))
          +c*c/(pow(a, 2) + pow(b, 2) + pow(c, 2)))), 0])
  translate([0,0,-extend])
  baseform(sqrt(pow(a, 2) + pow(b, 2)
                    + pow(c, 2)) + 2*extend);
}

module ring(ringnr){
  union() {
    for (i = [0:nrsticks]) {
      rotate([0,0,i*grad_per_stick]) {
        if (ringnr == 1) {
          ringbaseform(r0, 0, 0, first_radius, first_height,
                       first_skew,  first_extend);}
        if (ringnr == 2){
          ringbaseform(first_radius, first_height, first_skew,
                       second_radius, second_height, second_skew,
							  second_extend);}
        if (ringnr == 3)
          ringbaseform(second_radius, second_height,
                       first_skew + second_skew,
                       third_radius, third_height, third_skew,
							  third_extend);
        if (ringnr == 4)
          ringbaseform(third_radius, third_height,
							  first_skew + second_skew + third_skew,
                       fourth_radius, fourth_height, fourth_skew,
							  fourth_extend);
        if (ringnr == 5)
          ringbaseform(fourth_radius, fourth_height,
  first_skew + second_skew + third_skew + fourth_skew,
                       fifth_radius, fifth_height, fifth_skew,
							  fifth_extend);
        if (ringnr == 6)
          ringbaseform(fifth_radius, fifth_height,
  first_skew + second_skew + third_skew + fourth_skew + fifth_skew,
                       sixth_radius, sixth_height, sixth_skew,
							  sixth_extend);
      }
    }
  }
}

module bottom(){
  if (add_bottom == "yes") {
    translate([0,0,bottomstart])
      cylinder(r = r0+size, h=bottom_height);
  }
}

module bowl(){
union() {
  bottom();
  ring(1);
  if (second_radius > 0) {
  ring(2);}
  if (third_radius > 0) {
  ring(3);}
  if (fourth_radius > 0) {
  ring(4);}
  if (fifth_radius > 0) {
  ring(5);}
  if (sixth_radius > 0) {
  ring(6);}
}
}

intersection(){
  translate([0,0,-bottomstart]) bowl();
  translate([-max_width/2,-max_width/2,0])
    cube(size=[max_width,max_width,max_height]);
}
//echo(r0, 0, 0, first_radius, first_height,first_skew,  first_extend);
//ringbaseform(r0, 0, 0, first_radius, first_height, first_skew,  first_extend);
//echo(first_radius, first_height, first_skew, second_radius, second_height, second_skew, second_extend);
//ringbaseform(first_radius, first_height, first_skew, second_radius, second_height, second_skew, second_extend);

```


[User]
Okay, so I've been playing around with some line-based designs in OpenSCAD and I've got a pretty good start, but I think an AI could help me make it more flexible and interesting. I'm aiming for designs that look like those old parabolic line drawings, but with more control over how they're generated and laid out.

Here's what I'm envisioning:

**Core Concept:**

*   The design is based on drawing lines between points, creating a sort of curved effect as the lines progress. I'm currently using cylinders to represent the lines, but I'm open to other visual styles if that makes sense.
*   The lines should be generated in a way that creates a visual flow or pattern, with some control over their angles.

**Parameters I Need:**

*   **`end`:** This will define the size of the overall "space" where the lines are drawn. Imagine it as the length of each side of a square area the design is contained in, e.g., if `end` is 20 then it creates a box with the bounds -20 to 20 on both the x and y axes.
*   **`step`:** The increment or spacing between each line, smaller values leading to more lines.
*   **`decimalRadius`:** This is the radius of the cylinder lines, but I need it to be a decimal for fine tuning.
*   **Quadrant Control:**
    *   I want to be able to draw these lines in the four quadrants of a coordinate system independently.
    *   I'd like to be able to draw lines in combinations of quadrants as well, e.g., just quadrants I & II, or quadrants II, III, & IV.
*   **Line Start Points:** I need to have four different starting positions for the lines:
    *   Bottom Left (starting in the bottom left corner of quadrant I)
    *   Bottom Right (starting in the bottom right corner of quadrant I)
    *   Top Right (starting in the top right corner of quadrant I)
    *   Top Left (starting in the top left corner of quadrant I)
*   **Randomization:** It would be super cool if I could randomly select which line sets are generated each time and also pick the quadrants that those lines get drawn into.
    *   There should be a control to enable/disable this random behavior.
    *   When randomized, the design should still be within the bounds determined by `end`.

**Optional Features:**

*   **Bounding Box:** A toggle to draw a box around the whole design.
*   **Wearable Ring:**
    *   A toggle to place a ring at different positions around the design to make it wearable, like for a pendant or ring.
    *   Control over the size of the ring.
    *   Control over the location of the ring (Top Left, Top Mid, Top Right, Mid Right, Bottom Right, Bottom Mid, Bottom Left, Mid Left).

**Libraries Used:**

*   I'm using a custom `utils/build_plate.scad` library for a build plate display, so you don't need to recreate that functionality. I'm also using some standard OpenSCAD modules for drawing, I don't think you would need to include any libraries other than `utils/build_plate.scad`.

**What I Need You To Do:**

*   Create a parametric OpenSCAD file based on the specifications above.
*   Use descriptive variable names for the parameters I listed.
*   Make it easy to combine the optional features (box and wearable ring) with different line drawings.
*   The code should be clear and well-commented, so it's easy to understand and modify.

I think this would be a really great tool for generating interesting and unique geometric designs, and I'm excited to see what you come up with. Let me know if you have any questions.

[Assistant]
FunWithLines_vAwesome.scad:
```
use <utils/build_plate.scad>

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

//Size of space
end = 20; //[10,20,30,40,50,60]

//What incrament to put lines at (Smaller for greater detail)
step = 1; //[1,2,5]

//Radius of lines
decimalRadius = 1; //[1:5]

//Choose random display with above selections ("Random Pick" works when all Draw's below are set to "Don't Draw") (If set to "I'll Pick" ignore Error and choose which lines to draw below)
isRand = 1; //[1:Random Pick,0:I'll Pick]

//Draw the lines at the bottom left of quadrant I
draw_bld = 0;	//[1:Draw Bottom Left Lines,0:Don't Draw]
//Which quadrants to draw the lines at
BLD = 26;	//[3:Quadrant I, 5:Quadrant II, 7:Quadrant III, 11:QuadrantIV, 8:Quadrants I & II, 10:Quadrants I & III, 12:Quadrants II & III, 14:Quadrants I & IV, 16:Quadrants II & IV, 18:Quadrants III & IV, 15:Quadrants I & II & III, 19:Quadrants I & II & IV, 21:Quadrants I & III & IV, 23:Quadrants II & III & IV, 26:All Quadrants]]

//Draw the lines at the bottom right of quadrant I
draw_brd = 0;	//[1:Draw Bottom Right Lines,0:Don't Draw]
//Which quadrants to draw the lines at
BRD = 26;	//[3:Quadrant I, 5:Quadrant II, 7:Quadrant III, 11:QuadrantIV, 8:Quadrants I & II, 10:Quadrants I & III, 12:Quadrants II & III, 14:Quadrants I & IV, 16:Quadrants II & IV, 18:Quadrants III & IV, 15:Quadrants I & II & III, 19:Quadrants I & II & IV, 21:Quadrants I & III & IV, 23:Quadrants II & III & IV, 26:All Quadrants]]

//Draw the lines at the top right of quadrant I
draw_trd = 0;	//[1:Draw Top Right Lines,0:Don't Draw]
//Which quadrants to draw the lines at
TRD = 26;	//[3:Quadrant I, 5:Quadrant II, 7:Quadrant III, 11:QuadrantIV, 8:Quadrants I & II, 10:Quadrants I & III, 12:Quadrants II & III, 14:Quadrants I & IV, 16:Quadrants II & IV, 18:Quadrants III & IV, 15:Quadrants I & II & III, 19:Quadrants I & II & IV, 21:Quadrants I & III & IV, 23:Quadrants II & III & IV, 26:All Quadrants]]

//Draw the lines at the top left of quadrant I
draw_tld = 0;	//[1:Draw Top Left Lines,0:Don't Draw]
//Which quadrants to draw the lines at
TLD = 26;	//[3:Quadrant I, 5:Quadrant II, 7:Quadrant III, 11:QuadrantIV, 8:Quadrants I & II, 10:Quadrants I & III, 12:Quadrants II & III, 14:Quadrants I & IV, 16:Quadrants II & IV, 18:Quadrants III & IV, 15:Quadrants I & II & III, 19:Quadrants I & II & IV, 21:Quadrants I & III & IV, 23:Quadrants II & III & IV, 26:All Quadrants]]

//Draw a box around lines (Recommended if placing a ring)
isBox = 0;	//[1:Draw Box,0:Don't Draw]

//Place a ring on lines so it can be worn
isRing = 0; //[1:Draw Ring,0:Don't Draw]
//Size of ring
ringSize = 2; //[1:5]
//Position of ring
ringPos = 2;	//[1:Top Left,2:Top Mid,3:Top Right,4:Mid Right,5:Bottom Right,6:Bottom Mid,7:Bottom Left,8:Mid Left]

//Display only, does not contribute to final object
buildPlateType = 0; //[0:Replicator 2,1: Replicator,2:Thingomatic]

if(isRing == 1)
	isWearable(ringPos);

if(isBox == 1)
	drawBox();

if(draw_bld == 1)
	allQuadrants(BLD){smallBoxBottomLeftDraw();}

if(draw_brd == 1)
	allQuadrants(BRD){smallBoxBottomRightDraw();}

if(draw_trd == 1)
	allQuadrants(TRD){smallBoxTopRightDrawing();}

if(draw_tld == 1)
	allQuadrants(TLD){smallBoxTopLeftDraw();}

if(isRand ==1)
	randomCrazyness();

start = step;
radius = decimalRadius/10;  //getting a decimal radius

function findC(a,b) = sqrt((pow(a,2) + pow(b,2)));  //a^2 + b^2 = c^2... findC
function findDeg(a,o) = atan(a/o);  //find the arc tangent (for degrees) of an angle

module randomCrazyness(){
	//Method to my madness -> Quadrant I = 3, Quadrant II = 5, Quadrant III = 7, Quadrant IV = 11
	//The rest are just variations of the sum of the above.  ie. Quadrants I+II = 3+5 = 8

	arrayOfQuadrants = [0, 3, 5, 7, 8, 10, 11, 12, 14, 15, 16, 18, 19, 21, 23, 26];
	randomVector = rands(0, 16, 5);  //first random number is junk (possibly off of hours)

	for(x=[1:4]){  //cycle through last 4 numbers
		if(x == 1){
			allQuadrants(arrayOfQuadrants[randomVector[x]]){smallBoxBottomLeftDraw();}
		}else if(x == 2){
			allQuadrants(arrayOfQuadrants[randomVector[x]]){smallBoxBottomRightDraw();}
		}else if(x == 3){
			allQuadrants(arrayOfQuadrants[randomVector[x]]){smallBoxTopRightDrawing();}
		}else if(x == 4){
			allQuadrants(arrayOfQuadrants[randomVector[x]]){smallBoxTopLeftDraw();}
		}
	}

	if(floor(randomVector[1]) <= 8){  //don't think it matters but just to make it nicer floor the double
		isWearable(floor(randomVector[1]));
		drawBox();
	}
}

module isWearable(whereToo){
	cornerMove = ringSize - .5;
	move = ringSize;

	if(whereToo == 1){
		translate([-end - cornerMove,end + cornerMove,0]) wearableRing();
	}else if(whereToo == 2){
		translate([0,end + move,0]) wearableRing();
	}else if(whereToo == 3){
		translate([end + cornerMove,end + cornerMove,0]) wearableRing();
	}else if(whereToo == 4){
		translate([end + move,0,0]) wearableRing();
	}else if(whereToo == 5){
		translate([end + cornerMove,-end - cornerMove,0]) wearableRing();
	}else if(whereToo == 6){
		translate([0,-end - move,0]) wearableRing();
	}else if(whereToo == 7){
		translate([-end - cornerMove,-end - cornerMove,0]) wearableRing();
	}else if(whereToo == 8){
		translate([-end - move,0,0]) wearableRing();
	}
}

module wearableRing(){
	rotate_extrude(convexity = 10) translate([ringSize, 0, 0])
			circle(r = 1);
}

module drawCorner(corner){
	//module to draw lines that cover each corner

	if(corner == 1){
		translate([end/2,end,0]) rotate(a=[0,90,0])
			cylinder(h = end,r = radius,center = true);
		translate([0,end/2,0]) rotate(a=[90,0,0])
			cylinder(h = end,r = radius,center = true);
	}else if(corner == 2){
		translate([end/2,end,0]) rotate(a=[0,90,0])
			cylinder(h = end,r = radius,center = true);
		translate([end,end/2,0]) rotate(a=[90,0,0])
			cylinder(h = end,r = radius,center = true);
	}else if(corner == 3){
		translate([end/2,0,0]) rotate(a=[0,90,0])
			cylinder(h = end,r = radius,center = true);
		translate([end,end/2,0]) rotate(a=[90,0,0])
			cylinder(h = end,r = radius,center = true);
	}else if(corner == 4){
		translate([end/2,0,0]) rotate(a=[0,90,0])
			cylinder(h = end,r = radius,center = true);
		translate([0,end/2,0]) rotate(a=[90,0,0])
			cylinder(h = end,r = radius,center = true);
	}
}

module drawBox(){
	//outside box

	difference(){
		cube([end*2,end*2,1], center = true);
		cube([end*2-1,end*2-1,5], center = true);
	}
}

module smallBoxTopLeftDraw(){
	//Line fun!  Work backwards, draw a cylinder of h = to our triangles "C",
	//then rotate it tangent degrees, then drop it down on the xy plane,
	//finnaly move each iteration across the coordinate system.

	for(x = [end:step:start]){
		translate([x, end, 0]) rotate([0,90,0]) rotate([findDeg(x,(end+step)-x)+90,0,0])
			cylinder(h = findC(x, (end+step)-x), r = radius, center = false);
	}
	drawCorner(1);
}

module smallBoxBottomLeftDraw(){
	for(x = [end:step:start]){
		translate([0, x, 0]) rotate([0,90,0]) rotate([findDeg(x,(end+step)-x),0,0])
			cylinder(h = findC(x, (end+step)-x), r = radius, center = false);
	}
	drawCorner(4);
}

module smallBoxBottomRightDraw(){
	for(x = [end:step:start]){
		translate([end, x, 0]) rotate([0,-90,0]) rotate([findDeg(x,(end+step)-x),0,0])
			cylinder(h = findC(x, (end+step)-x), r = radius, center = false);
	}
	drawCorner(3);
}

module smallBoxTopRightDrawing(){
	for(x = [start:step:end]){
		translate([end, x, 0]) rotate([0,90,0]) rotate([findDeg(end-x,x)+180,0,0])
			cylinder(h = findC((end - x), x), r = radius, center = false);
	}
	drawCorner(2);
}

module rotateFourFive(){
	//not in use, 45degree rotate module
	for (y = [0 : $children-1])
		rotate([0,0,45]) child(y);
}

module allQuadrants(whichQuadrant){
	//easy 360 rotations to any of the four quadrants depending on where the user wants them
	for (y = [0 : $children-1]){
		if(whichQuadrant == 26){
			child(y);
			rotate([0,0,90]) child(y);
			rotate([0,0,180]) child(y);
			rotate([0,0,270]) child(y);
		}else if(whichQuadrant >= 15 && whichQuadrant%2 != 0){
			if(whichQuadrant == 15){
				child(y);
				rotate([0,0,90]) child(y);
				rotate([0,0,180]) child(y);
			}else if(whichQuadrant == 19){
				child(y);
				rotate([0,0,90]) child(y);
				rotate([0,0,270]) child(y);
			}else if(whichQuadrant == 21){
				child(y);
				rotate([0,0,180]) child(y);
				rotate([0,0,270]) child(y);
			}else if(whichQuadrant == 23){
				rotate([0,0,90]) child(y);
				rotate([0,0,180]) child(y);
				rotate([0,0,270]) child(y);
			}
		}else if(whichQuadrant >= 8 && whichQuadrant != 11){
			if(whichQuadrant == 8){
				child(y);
				rotate([0,0,90]) child(y);
			}else if(whichQuadrant == 10){
				child(y);
				rotate([0,0,180]) child(y);
			}else if(whichQuadrant == 12){
				rotate([0,0,90]) child(y);
				rotate([0,0,180]) child(y);
			}else if(whichQuadrant == 14){
				child(y);
				rotate([0,0,270]) child(y);
			}else if(whichQuadrant == 16){
				rotate([0,0,90]) child(y);
				rotate([0,0,270]) child(y);
			}else if(whichQuadrant == 18){
				rotate([0,0,180]) child(y);
				rotate([0,0,270]) child(y);
			}
		}else	if(whichQuadrant == 3)
			child(y);
		else if(whichQuadrant == 5)
			rotate([0,0,90]) child(y);
		else if(whichQuadrant == 7)
			rotate([0,0,180]) child(y);
		else if(whichQuadrant == 11)
			rotate([0,0,270]) child(y);
	}
}

build_plate(buildPlateType, buildPlateX, buildPlateY);
```


[User]
Okay, I'm looking to get a parametric OpenSCAD file for the Hackaday logo. I saw someone made one years ago for the Makerbot Customizer, but that tool doesn't really exist anymore, and I'd like something a bit more flexible for my own projects.

The original design was based on tracing the logo in Inkscape and exporting it to OpenSCAD. It seems like it was scaled and extruded. I'd like to keep it mostly faithful to that look, but make it easy to customize.

Here's what I need to be able to control:

*   **Overall Size:** I'd like to be able to scale the logo along the X and Y axes independently. Let's call these `LogoScaleX` and `LogoScaleY`. This way, I can make it taller or wider as needed.

*   **Extrusion Height:**  The height of the logo should be controllable via a variable called `ExtrudeHeight`. I expect to want this to be everything from a thin layer up to maybe 20mm or so.

*   **Color:** It would be great to have a variable called `LogoColor` where I can specify the color of the logo when previewing. I'm familiar with web color names.

*   **Fudge Factor:** There was a variable in the original code called `fudge`. It was used to ensure that subtracted solids are a bit taller, making sure the resulting STL is manifold. It looks like a default of 0.1 should work. We can keep that, and the associated operation if it's needed, but it should still be a parameter called `fudge`.

The original OpenSCAD code I'm using as a starting point defined a module `poly_HackADayLogo`. It had all the polygon points for the logo and the cutouts within it. I'd like to keep the core logic of the logo's shape in a similar module, if possible, to keep the code reasonably organized. I don't need to worry about the inkscape paths.

I'm not using any special libraries, so this should be fairly straightforward.

[Assistant]
Hack-A-Day.scad:
```
//
// Brian Benchoff at HackADay, noted there was no Hack A Day logo to play with the new makerbot Customizer tool in a post at:
//   http://www.hackaday.com/2013/02/16/custom-3d-printed-designs-with-makerbots-customizer
//
// I built this to play around. Currently DXF import is unsupported by http://customizer.makerbot.com
//
// Here is the highlevel of how I did it and the tools used:
//
// Downloaded Hack a Day logo from http://hackaday.com
// Imported into Inkscape, traced, cleaned up, set stroke and fill to black, set path name, set Doc Defaults to mm, scaled to ~50mm.
// Exported to OpenScad Format with Inkscape to OpenSCAD converter v2 from:
//   http://www.thingiverse.com/thing:25036
// Hand edited the OpenScad output to add Variables and make nice for Customizer!
//
// -- BoorT

// Module names are of the form poly_<inkscape-path-id>().  As a result,
// you can associate a polygon in this OpenSCAD program with the corresponding
// SVG element in the Inkscape document by looking for the XML element with
// the attribute id="inkscape-path-id".

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

// How Wide to make the Logo?   Default is 1 which is about 50mm square. Choose 2 for twice as wide.
LogoScaleX=1; //

// How High to make the Logo?   Default is 1 which is about 50mm square. Choose 2 for twice as high.
LogoScaleY=1; //

// How tall to make the Logo?   Default is 5mm
ExtrudeHeight = 5; // [.5:50]

// What color would you like: Default is Green. See http://en.wikipedia.org/wiki/Web_colors for valid options.
LogoColor = "green";

// The fudge value is used to ensure that subtracted solids are a tad taller in the z dimension than the polygon being  subtracted from.  This helps keep the resulting .stl file manifold. Defualt of 0.1mm should work for most uses.
fudge = 0.1; // [0.1:1]

module poly_HackADayLogo(h)
{
  scale([25.4/90, -25.4/90, 1]) union()
  {
    linear_extrude(height=h)
      polygon([[-34.245637,-29.433885],[-26.261107,-37.418335],[-35.596937,-46.002585],[-40.128276,-50.474831],[-43.199657,-54.332354],[-45.103423,-58.018425],[-46.131917,-61.976315],[-47.021502,-65.557463],[-48.459276,-68.908636],[-50.389209,-71.974442],[-52.755268,-74.699486],[-55.501423,-77.028375],[-58.571640,-78.905716],[-61.909889,-80.276114],[-65.460137,-81.084175],[-72.912299,-82.125795],[-65.730667,-75.243785],[-58.549047,-68.361755],[-65.524687,-60.468455],[-74.007293,-50.896895],[-75.057492,-50.624528],[-76.793965,-51.150160],[-78.993311,-52.374462],[-81.432125,-54.198105],[-86.046363,-57.714861],[-88.830039,-59.177585],[-89.712158,-58.740916],[-89.997226,-57.544865],[-89.751947,-55.760365],[-89.043023,-53.558351],[-86.501051,-48.585515],[-84.801409,-46.156559],[-82.904932,-43.993825],[-79.831674,-41.280832],[-76.863311,-39.565664],[-73.556015,-38.663194],[-69.465957,-38.388295],[-65.086361,-38.049234],[-61.305237,-36.807219],[-57.278391,-34.251652],[-52.161627,-29.971935],[-42.479837,-21.521895],[-34.245637,-29.433885]]);
    linear_extrude(height=h)
      polygon([[50.325821,-28.828675],[55.957113,-33.450676],[60.299203,-36.279533],[64.076488,-37.693810],[68.013361,-38.072075],[71.378186,-38.342122],[74.631190,-39.145109],[77.712163,-40.437796],[80.560892,-42.176943],[83.117167,-44.319306],[85.320776,-46.821647],[87.111507,-49.640724],[88.429151,-52.733295],[89.765511,-57.687719],[89.997226,-59.369685],[89.874721,-60.195035],[89.026068,-60.037145],[87.280642,-59.041989],[82.117611,-55.195985],[75.125141,-49.432265],[66.806471,-58.549335],[58.487771,-67.666425],[65.415061,-74.986215],[72.342351,-82.306025],[64.890181,-81.174295],[61.334333,-80.325112],[57.992543,-78.921395],[54.920558,-77.018562],[52.174127,-74.672031],[49.808996,-71.937220],[47.880913,-68.869547],[46.445626,-65.524429],[45.558881,-61.957285],[44.506993,-57.928705],[42.517242,-54.172484],[39.223453,-50.149486],[34.259451,-45.320575],[24.162271,-36.092395],[31.274481,-28.005385],[39.007281,-19.740695],[42.588068,-22.337006],[50.325821,-28.828675]]);
    difference()
    {
       linear_extrude(height=h)
         polygon([[-9.717087,47.988025],[-9.568745,46.875196],[-9.180220,46.013970],[-8.636261,45.433837],[-8.021618,45.164287],[-7.421043,45.234811],[-6.919284,45.674898],[-6.601092,46.514040],[-6.551217,47.781725],[-6.549053,50.195964],[-5.804445,53.108137],[-4.939182,54.463703],[-3.630858,55.599055],[-1.793655,56.399295],[0.658243,56.749525],[3.082099,56.585008],[4.847189,55.985106],[6.057338,55.050958],[6.816372,53.883700],[7.396395,51.254406],[7.417863,48.906325],[7.577543,47.327482],[7.968219,46.278839],[8.512131,45.723586],[9.131519,45.624912],[9.748625,45.946010],[10.285689,46.650067],[10.664950,47.700276],[10.808651,49.059825],[11.361433,51.938053],[12.037702,53.206860],[12.967483,54.318975],[14.140970,55.242034],[15.548357,55.943672],[17.179839,56.391524],[19.025611,56.553225],[20.742303,56.361605],[22.033485,55.808250],[22.959758,54.949045],[23.581723,53.839875],[24.155138,51.095175],[24.238541,48.021225],[24.596453,45.244995],[25.609800,42.234962],[27.188000,39.202336],[29.240471,36.358325],[31.779553,33.120117],[33.910820,29.886715],[35.655621,26.596251],[37.035308,23.186857],[38.071232,19.596668],[38.784743,15.763816],[39.197192,11.626434],[39.329931,7.122655],[38.977710,1.138705],[37.953338,-4.523229],[36.305249,-9.831098],[34.081878,-14.752852],[31.331661,-19.256440],[28.103032,-23.309814],[24.444427,-26.880922],[20.404281,-29.937716],[16.031027,-32.448146],[11.373103,-34.380161],[6.478941,-35.701711],[1.396979,-36.380748],[-3.824351,-36.385220],[-9.136611,-35.683079],[-14.491369,-34.242274],[-19.840187,-32.030755],[-24.521238,-29.338392],[-28.700709,-26.125628],[-32.369959,-22.454467],[-35.520345,-18.386913],[-38.143227,-13.984971],[-40.229963,-9.310644],[-41.771910,-4.425937],[-42.760428,0.607146],[-43.186876,5.726601],[-43.042610,10.870422],[-42.318991,15.976607],[-41.007376,20.983150],[-39.099123,25.828048],[-36.585592,30.449296],[-33.458141,34.784890],[-29.708127,38.772825],[-27.805685,40.864942],[-26.247753,43.180587],[-25.195098,45.438127],[-24.808487,47.355925],[-24.396732,51.880802],[-23.908060,53.481506],[-23.182963,54.699362],[-22.185522,55.578102],[-20.879814,56.161455],[-17.199917,56.616925],[-15.226510,56.420608],[-13.715190,55.815042],[-12.583206,54.878809],[-11.747808,53.690487],[-10.635774,50.871902],[-9.717087,47.987925]]);
       translate([0, 0, -fudge])
         linear_extrude(height=h+2*fudge)
           polygon([[21.031031,19.393105],[20.012468,18.196454],[18.354321,16.819486],[14.037211,14.205495],[11.240257,12.703217],[9.032853,11.174221],[7.413837,9.615983],[6.382051,8.025982],[5.936335,6.401696],[6.075530,4.740603],[6.798476,3.040180],[8.104013,1.297905],[10.235055,-0.551777],[12.680187,-1.822225],[15.330971,-2.519401],[18.078975,-2.649269],[20.815762,-2.217791],[23.432897,-1.230930],[25.821945,0.305349],[27.874471,2.385085],[30.551567,6.499975],[31.274293,8.372375],[31.590402,10.183461],[31.502843,11.979771],[31.014564,13.807841],[28.847641,17.745415],[26.510311,20.541054],[25.464749,21.337188],[24.486692,21.735269],[23.565215,21.737598],[22.689395,21.346480],[21.031031,19.393105]]);
       translate([0, 0, -fudge])
         linear_extrude(height=h+2*fudge)
           polygon([[-31.304007,17.745415],[-33.470932,13.807841],[-33.959212,11.979771],[-34.046772,10.183461],[-33.730664,8.372375],[-33.007938,6.499975],[-30.330837,2.385085],[-28.278317,0.305349],[-25.889273,-1.230930],[-23.272139,-2.217791],[-20.535352,-2.649269],[-17.787347,-2.519401],[-15.136559,-1.822225],[-12.691424,-0.551777],[-10.560377,1.297905],[-9.254841,3.040180],[-8.531896,4.740603],[-8.392703,6.401696],[-8.838420,8.025982],[-9.870206,9.615983],[-11.489222,11.174221],[-13.696626,12.703217],[-16.493577,14.205495],[-20.810687,16.819486],[-22.468835,18.196454],[-23.487397,19.393105],[-25.145761,21.346480],[-26.021581,21.737598],[-26.943058,21.735269],[-27.921116,21.337188],[-28.966677,20.541054],[-31.304007,17.745415]]);
       translate([0, 0, -fudge])
         linear_extrude(height=h+2*fudge)
           polygon([[-5.944247,34.322425],[-5.314545,30.174909],[-3.761738,26.136832],[-1.790276,23.205737],[-0.805189,22.467040],[0.095393,22.379165],[1.090800,23.096398],[2.060227,24.462153],[3.691414,28.380556],[4.529500,32.617029],[4.507551,34.380371],[4.115033,35.654225],[3.543999,36.157431],[2.815473,36.179775],[2.013477,35.743944],[1.222033,34.872625],[0.308298,33.743859],[-0.397633,33.338225],[-0.981489,33.649441],[-1.528997,34.671225],[-2.771148,36.446003],[-3.501289,36.856548],[-4.227527,36.955250],[-4.892402,36.746649],[-5.438454,36.235284],[-5.808222,35.425696],[-5.944247,34.322425]]);
    }
    linear_extrude(height=h)
      polygon([[65.055381,76.172225],[58.083021,70.041325],[65.831051,61.080925],[71.922358,54.752650],[74.257270,52.827559],[75.687151,52.120525],[76.921587,52.519003],[78.724361,53.603975],[83.066391,57.170625],[87.027424,60.346466],[88.392209,60.919262],[89.324085,60.828550],[89.806235,60.084260],[89.821846,58.696322],[89.354099,56.674667],[88.386181,54.029225],[86.759258,50.763643],[84.741099,47.823558],[82.379442,45.242847],[79.722025,43.055387],[76.816583,41.295058],[73.710855,39.995736],[70.452579,39.191299],[67.089491,38.915625],[62.860811,38.631619],[59.373298,37.568775],[55.948264,35.410856],[51.907021,31.841625],[48.826105,29.110067],[46.325870,27.331666],[44.562890,26.598662],[44.006801,26.653009],[43.693741,27.003295],[41.527923,30.768887],[37.477611,36.682825],[32.085311,44.126625],[38.537251,50.380025],[41.042421,53.054408],[43.093940,55.713387],[44.480101,58.049361],[44.989201,59.754725],[45.454185,64.091820],[46.775724,68.225312],[48.843694,72.039943],[51.547976,75.420450],[54.778446,78.251573],[58.424983,80.418050],[62.377465,81.804621],[66.525771,82.296025],[72.027731,82.306025],[65.055381,76.175125]]);
    linear_extrude(height=h)
      polygon([[-56.815957,79.441525],[-54.591631,78.033304],[-52.499413,76.214536],[-50.589995,74.067078],[-48.914070,71.672787],[-47.522330,69.113520],[-46.465468,66.471133],[-45.794176,63.827482],[-45.559147,61.264425],[-45.091945,59.132845],[-43.819857,56.469562],[-41.937165,53.614411],[-39.638147,50.907225],[-33.717137,44.798425],[-38.223337,39.280125],[-42.039476,34.338837],[-44.886637,30.207925],[-46.231599,28.370215],[-46.889618,27.999901],[-47.649343,28.026116],[-49.807962,29.360647],[-53.375547,32.558825],[-56.832517,35.395111],[-60.332556,37.379762],[-64.232673,38.670795],[-68.889877,39.426225],[-72.655448,40.039614],[-76.058572,41.052089],[-79.098563,42.463097],[-81.774733,44.272087],[-84.086395,46.478507],[-86.032861,49.081805],[-87.613443,52.081428],[-88.827454,55.476825],[-89.682935,59.659502],[-89.566044,60.786352],[-89.077811,61.272237],[-88.212044,61.118678],[-86.962553,60.327192],[-83.287631,56.836525],[-79.471072,53.505850],[-77.775000,52.492647],[-76.516633,52.120525],[-74.985704,52.827333],[-72.547486,54.751812],[-66.291267,61.078125],[-58.406397,70.035725],[-65.502047,76.169425],[-72.597681,82.303025],[-67.473647,82.303025],[-65.047435,82.077231],[-62.229278,81.462450],[-59.368884,80.552581],[-56.815957,79.441525]]);
  }
}

scale([LogoScaleX, LogoScaleY , 1])
color(LogoColor)
poly_HackADayLogo(ExtrudeHeight);

```


[User]
Okay, I need a customizable box design in OpenSCAD, similar to the one I've been working on, but I want to add some features and make it more robust.

Here's what I'm looking for:

**Core Functionality (Like my existing design):**

*   A rectangular box with customizable length, breadth, and height.
*   Rounded outer corners (controllable radius).
*   Screw holes in each corner of the box face. The radius of the screw holes should also be adjustable.
*   A separate lid that fits on top of the box, matching the box's dimensions and rounded corners. It should also have screw holes.

**New Features I'd like to add:**

*   **Wall Thickness:** I want to be able to control the wall thickness of the box and lid. My current implementation makes assumptions about wall thickness.
*   **Lid Offset:** The lid should have an optional offset to allow it to sit neatly within the outer wall of the box, but I want to be able to specify that offset amount.
*   **Countersunk Holes:** The screw holes should be countersunk, so the screw heads don't protrude. The counter-sink angle should be parametric and there should be enough depth. This will probably need some sort of calculation, but I am hoping for a parametric approach to all measurements.
*   **Support Structures:** I would like an option to generate small support structures, specifically tiny cylinders, that sit inside the screw holes and hold the screws in place. The diameter and height of the support cylinders will need to be parameters.
*   **Tolerance:** The lid and box should have adjustable tolerances so that they fit together correctly. I don't want it to be too loose or too tight.
*   **Optional Insets/Cutouts:** I'd like an option to add rectangular insets or cutouts on the sides of the box, defined by their starting location and size, including depth.
*   **Rounded Inner Edges:** Can the inner edges of the box (where the walls meet at corners) be rounded with a specific inner radius?

**Requested Code Attributes:**
*   I'd like everything to be parametric and well-commented.
*  I'd like to leverage the BOLTS library where applicable, especially for the countersunk hole implementation.
*   I want to be able to easily adjust every mentioned dimension using variables.
*   I would prefer all module code to be easy to read and understand.

In summary, I need a robust, parametric, customizable box and lid generator with countersunk screw holes, support cylinders, and an option to add inset details, as well as full control over wall thickness, offset, tolerance, and rounded edges. And I would like to use BOLTS for the countersinking logic. Please let me know if you have any clarifying questions.

[Assistant]
customizable_box.scad:
```
//box length
box_length = 50;

//box_breadth
box_breadth = 50;

//box height
box_height = 50;

//outer radius for rounded box
radius_outer = 5;

//radius for screw holes
radius_hole = 2;

module faceplate(l,b,r_outer,r_hole) {
	difference() {
		minkowski() {
			circle(r_outer);
			square([l,b]);
		}
		circle(r_hole);
		translate([l,0,0])circle(r_hole);
		translate([0,b,0])circle(r_hole);
		translate([l,b,0])circle(r_hole);
	}
}

module inner_shape(l,b,r_outer) {
	difference() {
		square([l,b]);
		circle(r_outer);
		translate([l,0,0])circle(r_outer);
		translate([0,b,0])circle(r_outer);
		translate([l,b,0])circle(r_outer);
	}
}

module box(l,b,h,r_outer,r_hole) {
	union() {
		linear_extrude(height = h)
		{
			difference() {
				faceplate(l,b,r_outer,r_hole);
				inner_shape(l,b,r_outer,r_hole);
			}
		}
		linear_extrude(height = 2)faceplate(l,b,r_outer,r_hole);
	}
}

box(box_length,box_breadth,box_height,radius_outer,radius_hole);
translate([box_length+2*radius_outer+5,0,0])linear_extrude(height = 2)faceplate(box_length,box_breadth,radius_outer,radius_hole);

```


[User]
Okay, I need a custom battery holder design, and I'd like to be able to tweak a bunch of different parameters to make it fit different battery types and configurations.

Here's what I'm looking for:

**Core Functionality:**

*   **Battery Grid:** The holder should have a grid of circular recesses to hold cylindrical batteries.
*   **Adjustable Size:** I want to control the number of rows and columns of batteries.
*   **Battery Size:** I need to be able to specify the diameter of the batteries, and the depth of the recess. This should effectively dictate the size of the cylindrical cutout for each battery.

**Customizable Parameters:**

*   **Battery Dimensions:**
    *   `_1a_batteryDiameter`: The diameter of the battery (e.g., 14.6mm for AA, 10.7mm for AAA).
    *   `_1b_insideHeight`: The height of the battery recess (should be equal to or slightly larger than the battery height).
*   **Grid Layout:**
    *   `_2a_columns`: The number of batteries across (in a row).
    *   `_2b_rows`: The number of batteries deep.
*   **Wall Thickness:**
    *   `_3a_walls`: The thickness of the walls of the holder.
*   **Base Thickness:**
    *   `_3b_base`: The thickness of the bottom layer of the holder.
*   **Magnet Cutouts (Optional):**
    *   `_4a_magnetType`: The shape of the magnet cutout (e.g., "cylinder" or "cube").
    *   `_4b_magnetDiameter`: The diameter of the magnet cutout.
    *   `_4c_magnetHeight`: The height of the magnet cutout.
    * The magnet cutouts should only be added if there is at least a 2x2 array of batteries, and should be placed at the corners of the grid of battery cutouts.

*   **Labeling (Optional):**
    *   `_5a_labelText`: The text to label the battery holder.
    *   `_5b_labelFont`: The font to use for the label (I'd like to use fonts from the "write" library if possible - like "write/orbitron.dxf", "write/letters.dxf", "write/knewave.dxf", "write/BlackRose.dxf", "write/braille.dxf" )
    *   `_5c_labelDepth`: The depth of the label. Negative values should emboss, positive should extrude the label.
    *   `_5d_labelHeight`: The height of the label in mm. The label should be rendered centered on the top or bottom of the tray based on whether the labelDepth is negative or positive.

**Design Details:**

*   The main body should be a rounded rectangle with filleted edges, created using a `hull` and cylinders.
*   The battery recesses should use a combination of cylinders and cubes to make the rounded edges, as shown in the example code.
*   I expect to be able to place the label on either side of the tray, based on a negative or positive label depth.
*   I'm assuming the design can make use of the `write` library.

**Output:**

I'm expecting a single `.scad` file that I can open and customize with these parameters.

Basically, I want to be able to easily make a custom battery holder for any combination of battery type and grid size. This should also include an option to add magnets to the case to be able to close and hold a lid in place. Let me know if you have any questions.

[Assistant]
battery_carrier_v1-1.scad:
```
use <write/Write.scad>

// AA-14.6mm, AAA-10.7mm, 123A-16.9mm, CR2-15.6mm
_1a_batteryDiameter = 14.6;

// height of the battery recess (height of top and bottom piece should be equal to or slightly larger than the battery height)
_1b_insideHeight = 12;

// number of batteries across
_2a_columns = 2; // [1:50]

// number of batteries deep
_2b_rows = 2; // [1:50]

// thickness of the sides
_3a_walls = 0.8;

// thickness of the bottom layer
_3b_base = 0.8;

// magnet cutouts only appear if there are at least 2 x 2 batteries
_4a_magnetType = "cylinder"; // [cylinder, cube]

_4b_magnetDiameter = 3.1;

_4c_magnetHeight = 3.1;

// rendered on top of the lid or on the bottom of the base (you'll need to rotate the tray to see the text)
_5a_labelText = "";

// font used to render the label
_5b_labelFont = "write/orbitron.dxf"; // ["write/orbitron.dxf":Orbitron, "write/letters.dxf":Basic, "write/knewave.dxf":KneWave, "write/BlackRose.dxf":BlackRose, "write/braille.dxf":Braille]

// depth of the label (negative values to emboss, positive values to extrude)
_5c_labelDepth = -0.3;

// height of the label in mm
_5d_labelHeight = 8;

///////////////////////////////////////////////////////////////////////////

module cylinderAt(r, h, x, y, z) {
	translate([x,y,z]) {
		cylinder(r=r, h=h, center=true);
	}
}

module cubeAt(xy, h, x, y) {
	translate([x,y,0]) {
		cube(size=[xy,xy,h], center=true);
	}
}

module magnetCubeAt(xy, h, x, y, z) {
	translate([x,y,z]) {
		rotate([0,0,45]) {
			cube(size=[xy,xy,h], center=true);
		}
	}
}

module batteryGrid(diameter, height, rows, columns, mtype, mdiameter, mheight) {
	angle = 35;
	r = diameter/2;
	cut = 2*r*sin(angle);
	tan = tan(angle);
	filletCenter = r - r * tan;
	filletCenter2 = r + r * tan;
	filletOffset = r * tan;
	filletRadius = r/cos(angle) - r;
	xstart = ((columns-1) * diameter)/2;
	ystart = ((rows-1) * diameter)/2;
	eps = 0.1;

	union() {
		difference() {
			union() {
				// cylinder
				for (x=[-xstart:diameter:xstart+eps]) {
					for (y=[-ystart:diameter:ystart+eps]) {
						cylinderAt(r,height,x,y,0);
					}
				}

				if (rows > 1) {
					for (x=[-xstart:diameter:xstart+eps])
					for (y=[-ystart+r:diameter:ystart-r+eps]) {
						cubeAt(cut, height, x, y);
					}
				}

				if (columns > 1) {
					for (x=[-xstart+r:diameter:xstart-r+eps])
					for (y=[-ystart:diameter:ystart+eps]) {
						cubeAt(cut, height, x, y);
					}

				}
			}

			if (columns > 1) {
				for (x=[-xstart+r:diameter:xstart-r+eps])
				for (y=[-ystart-r:diameter:ystart+r+eps])
				for(y2=[filletOffset, -filletOffset]) {
					cylinderAt(filletRadius,height+eps,x,r+y+y2,0);
				}
			}

			if (rows > 1) {
				for (x=[-xstart:diameter:xstart+eps])
				for (y=[-ystart:diameter:ystart+eps])
				for(x2=[filletOffset, -filletOffset]) {
					cylinderAt(filletRadius, height+eps,x + x2, r+y, 0);
				}
			}
		}

		// magnets
		if (rows > 1 && columns > 1) {
			for (x=[-xstart+r:diameter:xstart-r+eps])
			for (y=[-ystart+r:diameter:ystart-r+eps]) {
				if (mtype == "cylinder") {
					cylinderAt(mdiameter/2, mheight, x, y, height/2-mheight/2);
				} else if (mtype == "cube") {
					magnetCubeAt(mdiameter, mheight, x, y, height/2-mheight/2);
				}
			}
		}
	}
}

module makeTray(diameter, height, rows, columns, wall, base, mtype, mdiameter, mheight, label, lfont, ldepth, lheight) {
	eps = 0.1;
	rounding = diameter/2 + wall;
	width = diameter * columns + wall*2;
	depth = diameter * rows + wall*2;

	union() {
		difference() {

			hull()
			for (x=[-width/2 + rounding, width/2 - rounding])
			for (y=[-depth/2 + rounding, depth/2 - rounding]) {
				translate([x,y])
				cylinder(r=rounding, h=height+base);
			}

			translate([0,0,height/2 + base]) {
				batteryGrid(diameter, height+eps, rows, columns, mtype, mdiameter, mheight+eps);
			}

			if (ldepth < 0) {
				addLabel(label, (-ldepth+eps)/2 - eps, -ldepth+eps, lheight, lfont);
			}
		}
		if (ldepth > 0) {
			addLabel(label, -(ldepth+eps)/2 + eps, ldepth+eps, lheight, lfont);
		}
	}
}

module addLabel(label, zoffset, depth, height, font) {
	if (label != "") {
		translate([0,0,zoffset])
		mirror([0,1,0])
		write(label, t=depth, h=height, font=font, space=1.2, center=true);
	}
}

makeTray(_1a_batteryDiameter, _1b_insideHeight,
			_2b_rows, _2a_columns,
			_3a_walls, _3b_base,
			_4a_magnetType, _4b_magnetDiameter, _4c_magnetHeight,
			_5a_labelText, _5b_labelFont, _5c_labelDepth, _5d_labelHeight,
			$fn=90);

```


[User]
Okay, I'd like to design a customizable overbalanced wheel, kind of like those perpetual motion toy wheels, but I want to make it parametric and printable. I've already got a basic concept in mind, and I'll describe it, but I need your help to create the OpenSCAD code.

The wheel itself should be a cylinder with holes around the circumference. I need to be able to control:
*   The overall **wheel size** (diameter).
*   The **wheel thickness**.
*   The **number of holes** around the wheel.
*   The **size of the holes**. They should be circular initially and have a cutout so the wheel can have something to rest on when not being supported by the stand.
*   The center **hole diameter** of the wheel.

I'd like to have the option to print the wheel separately, so I need the code to be able to toggle between two modes: a "preview" mode, which shows the wheel assembled, and a "print" mode, which shows the wheel, a stand, and the weights as separate parts.

The stand will be composed of:
*   A vertical support, a rectangular prism that is attached to the wheel.
*   A hanger that looks like a horizontal cylinder that connects to the vertical support to hold the wheel
*   A cylinder that acts like a "stop" to make sure that the wheel only spins one direction.
*   A horizontal base support, a rectangular prism that is attached to the bottom of the vertical support.
*   Two small rectangular prism "feet" that extend downwards from the base of the support.

The stand should be sized appropriately to the wheel, but also be separately adjustable with at least one basic sizing parameter, and also use parameters derived from the wheel.

The weights will be added to the holes around the wheel and should be composed of 3 parts: two small cylinders at the ends and a larger one between them. They also need their thickness to be dependent on the wheel thickness. They should be printed separately and placed in the holes after printing the wheel.

I'd like to be able to control the sizing of the weights independently of the wheel but dependent on the hole diameter, and be able to control the height of the cylinders to make sure they fit snugly.

I think that's it for now. Could you generate the OpenSCAD code for this? I don't need anything from any particular libraries this time.

[Assistant]
Overbalanced_Wheel.scad:
```
//Overbalanced wheel
$fn = 50;
mode = "preview"; //[preview, print]
num_of_holes = 8; //[3:9]
//Change size of wheel, other dependent parts change too.
wheel_size = 50; //[20:100]
wheel_thickness = 10; //[5:20]
fizz = 0.1;
fizzz = fizz*2;
rot = 360/num_of_holes;
dikte = wheel_size/10;

start();

module start(){
	if (mode == "print"){
		 color("green") wheel();
		translate([-wheel_size*1.8,-wheel_size*.5,dikte]) rotate(-90,[1,0,0]) color("blue") stand();
		translate([-wheel_size*1.8,wheel_size*1.3,0]) color("red") weights();
	} else {
		translate([0,-wheel_thickness/2,wheel_size + wheel_size/10]) rotate(90,[1,0,0]) color("green") wheel();
		color("blue")  stand();
	}
}

module weights(){
	for (nr=[1:num_of_holes]){
		translate([dikte*2.5*nr,0,0]) weight();
	}
}

module weight(){
	cylinder(wheel_thickness/2-fizzz,dikte,dikte);
	translate([0,0,wheel_thickness/2]) cylinder(wheel_thickness+fizzz*2, dikte/2, dikte/2);
	translate([0,0,wheel_thickness/2+wheel_thickness]) cylinder(wheel_thickness/2-fizzz,dikte,dikte);
}

module stand(){
	//vertical
	translate([-dikte,0,0]) cube([dikte*2,dikte,wheel_size + wheel_size/10]);
	//hangert
	translate([0,dikte,wheel_size + wheel_size/10]) rotate(90,[1,0,0]) cylinder(wheel_thickness*2+dikte+fizz,wheel_size/10,wheel_size/10);
	//tegenhouder
	translate([0,dikte,wheel_size + wheel_size/10]) rotate(90,[1,0,0]) cylinder(wheel_thickness/2+dikte+fizz,wheel_size/7,wheel_size/7);
	//horizontal
	trans_x = (wheel_size + wheel_size/10)/2;
	translate([-trans_x,0,0]) cube([wheel_size + wheel_size/10,dikte,dikte]);
	//pootjes
	translate([-trans_x,-(wheel_thickness*2.5)+fizz,0]) cube([dikte,wheel_thickness*2.5,dikte]);
	translate([trans_x - dikte,-(wheel_thickness*2.5)+fizz,0]) cube([dikte,wheel_thickness*2.5,dikte]);
}

module wheel(){
	difference(){
		cylinder(wheel_thickness, wheel_size, wheel_size);
		//Holes
		for (nr=[1:num_of_holes]){
			rotate(rot*nr,[0,0,1]) translate([0,wheel_size/1.75,0]) hole();
		}
		//Center
		translate([0,0,-fizz]) cylinder(wheel_thickness+fizzz,wheel_size/9.3+fizz,wheel_size/9.3+fizz);
	}
}

module hole(){
	difference(){
		translate([0,0,-fizz]) cylinder(wheel_thickness+fizzz, wheel_size/3, wheel_size/3);
		translate([0,-wheel_size/2,-fizzz]) cube([wheel_size,wheel_size,wheel_size]);
	}
}
```


[User]
Okay, I'm looking to design a kind of open, skeletal ring or bracelet, and I think I need a parametric OpenSCAD file to do it. The design is based on a series of connected tubes forming a circular structure. I want to be able to control a bunch of aspects of this design, including twisting and shifting of the tubes.

Here's a breakdown of the features and parameters I'm envisioning:

*   **Basic Structure:**
    *   It should be built from a number of segments that form a circle.
    *   Each segment should consist of tubes that form an n-sided shape around the circle. So, imagine a square or hexagon at each segment.
    *   The segments should be connected together via the tubes which should be "hull"ed together.
*   **Parameters:**
    *   `sides`: The number of sides on each segment's polygon (e.g., 3 for a triangle, 4 for a square, 6 for a hexagon, etc.).
    *   `segments`: The number of segments that make up the full circular structure.
    *   `mesh_quality`: Controls the resolution of the spheres/tubes. I think a $fn value is best for this.
    *   `tube_diameter`: The diameter of the tubes used to construct the frame.
    *   `width_of_band`: The width of each polygon shape in the band. Imagine a square, this would be the length of the side.
    *   `height_of_band`: The height of the sides of the polygons.
    *   `inside_diameter`: The inner diameter of the entire bracelet/ring.
    *   `rotate_all_sides_angle`: A base rotation angle for each polygon on a segment.
    *   `full_twists_per_rotation`: The amount of twist applied to the tubes of a segment across a full rotation of the object.
    *   `tube_offset_per_segment`: An offset between the tubes on two adjacent segments.
    *   `segment_twist_variation_angle`: The variation in twist angle that should be applied across the different segments of the structure.
    *   `segment_twist_variation_periods`: The number of periods of the twist variation applied to segments.
    *   `face_twist_variation_angle`: The variation in twist angle that should be applied across each side of the polygon on the segment.
    *   `face_twist_variation_periods`: The number of periods of the twist variation applied to the sides of the polygon.
    *    `face_rotational_variation_angle`:  The variation in the rotational angle of each polygon face.
    *    `face_rotational_variation_periods`: The number of periods of the rotational variation of each polygon face.
    *   `segment_spacing_variation_angle`: The variation in the spacing of each segment.
    *   `segment_spacing_variation_periods`: The number of periods of variation in spacing between segments.
    *    `z_shift_length`:  The max length of the Z-shift variation.
    *    `z_shift_period`: The number of periods for Z-shift variation between segments.
    *    `radial_shift_length`: The max length of radial shift variation.
    *    `radial_shift_periods`: The number of periods for the radial shift variation between segments.
    *  `scale_segment_variation_max`: The maximum scale value for the scaling of band width.
    *  `scale_segment_variation_min`: The minimum scale value for the scaling of band width.
    *   `scale_segment_variation_periods`: The number of periods of variation for the width of each face.
    *   `level_of_solid_fill`: Should have 3 options, `"hollow"`, `"partial fill"`, and `"solid fill"`.
    *    `build_plate_selector`: This is just for display, not function. Should have options for a Replicator 2, Replicator, Thingomatic, or manual plate dimensions.
    *   `build_plate_manual_x`: The x-dimension of the build plate for manual mode.
    *   `build_plate_manual_y`: The y-dimension of the build plate for manual mode.
*   **Functionality:**
    *  The `makeNSidedTube` function should create the open tube shapes for each segment with the appropriate twist.
    *  The `connectTubes` function should connect adjacent segments tubes using the hull() method in OpenSCAD.
    *   The `makeNSidedBlock` function should build a solid n-sided "block" shape when level of fill is set to partial.
    *   The `connectTubesSolid` function should connect adjacent segments using solid tubes for when solid fill is selected.
    *   The `twistAmt`, `rotateAmt`, `zShift`, `radialShift`, and `scaleBand` functions should calculate the twisting, rotation, z-shift, radial shift, and scaling amount, respectively, using a cosine function for the variations.

I think this is a lot, but it's what I'm hoping to achieve. I'd also like it if you could use the `build_plate` module from the `utils/build_plate.scad` library for a visual representation of the build plate.

Let me know if you have any questions!

[Assistant]
mesh3.scad:
```
use <utils/build_plate.scad>

sides = 4; //[3:20]
segments = 8; //[3:100]
mesh_quality = 3; //[3:20]

tube_diameter = 3;
width_of_band = 10; //[0:50]
height_of_band = 10; //[0:100]
inside_diameter = 60; //[0:200]

rotate_all_sides_angle = 0;
full_twists_per_rotation = 0;
tube_offset_per_segment = 0; //[-15:15]

segment_twist_variation_angle = 0; //[0:180]
segment_twist_variation_periods = 2; //[1:20]

face_twist_variation_angle = 0; //[0:180]
face_twist_variation_periods = 2; //[1:20]

face_rotational_variation_angle = 0;//[0:90]
face_rotational_variation_periods = 2; //[1:20]

segment_spacing_variation_angle = 0;//[0:90]
segment_spacing_variation_periods = 2; //[1:20]

z_shift_length = 0;
z_shift_period = 2; //[1:20]

radial_shift_length = 0;
radial_shift_periods = 2; //[1:20]

scale_segment_variation_max = 1;
scale_segment_variation_min = 1;
scale_segment_variation_periods = 4; //[1:20]

level_of_solid_fill = "hollow"; //[hollow,partial fill,solid fill]

//for display only, doesn't contribute to final object
build_plate_selector = 0; //[0:Replicator 2,1: Replicator,2:Thingomatic,3:Manual]

//when Build Plate Selector is set to "manual" this controls the build plate x dimension
build_plate_manual_x = 100; //[100:400]

//when Build Plate Selector is set to "manual" this controls the build plate y dimension
build_plate_manual_y = 100; //[100:400]

dist_from_center = inside_diameter/2+width_of_band/2+tube_diameter/2;

translate([0,0,-(height_of_band+tube_diameter)/2])
build_plate(build_plate_selector,build_plate_manual_x,build_plate_manual_y);

union(){
	for (i=[0:segments-1]){
		if (level_of_solid_fill == "partial fill"){
			color("FireBrick")
			makeNSidedBlock(sides,
								 	tube_diameter,
									width_of_band,
									height_of_band,
									360/segments*i,
									dist_from_center,
									i);
		}
		else {
			color("FireBrick")
			makeNSidedTube(sides,
								 	tube_diameter,
									width_of_band,
									height_of_band,
									360/segments*i,
									dist_from_center,
									i);
		}
		if (level_of_solid_fill == "solid fill"){
			color("Red")
			connectTubesSolid(sides,
								 tube_diameter,
								 width_of_band,
								 height_of_band,
								 360/segments*i,
								 360/segments*(i+1),
								 dist_from_center,
								 tube_offset_per_segment,
								 segments,
								 i);
		}
		else {
			color("Red")
			connectTubes(sides,
								 tube_diameter,
								 width_of_band,
								 height_of_band,
								 360/segments*i,
								 360/segments*(i+1),
								 dist_from_center,
								 tube_offset_per_segment,
								 segments,
								 i);
		}
	}
}

module connectTubes(sides,tubeDiameter,width,height,angleStart,angleStop,distFromCenter,twist,segments,j){
	for (i=[0:sides-1]){
		hull(){
			translate([0,0,zShift(i+twist,j+1)])
			rotate([0,0,angleStop+rotateAmt(i+twist,j+1)])
			translate([0,distFromCenter+radialShift(i+twist,j+1),0])
			translate([0,scaleBand(i+twist,j+1)*width/2*cos(twistAmt(i+twist,j+1)),scaleBand(i+twist,j+1)*height/2*sin(twistAmt(i+twist,j+1))])
			sphere(r=tubeDiameter/2,$fn = mesh_quality,center=true);
			translate([0,0,zShift(0,j)])
			rotate([0,0,angleStart+rotateAmt(i,j)])
			translate([0,distFromCenter+radialShift(i,j),0])
			translate([0,scaleBand(i,j)*width/2*cos(twistAmt(i,j)),scaleBand(i,j)*height/2*sin(twistAmt(i,j))])
			sphere(r=tubeDiameter/2,$fn = mesh_quality,center=true);
		}
	}
}

module makeNSidedTube(sides,tubeDiameter,width,height,angle,distFromCenter,j){
	translate([0,0,zShift(0,j)])
	for (i=[0:sides-1]){
		hull(){
			rotate([0,0,angle+rotateAmt(i,j)])
			translate([0,distFromCenter+radialShift(i,j),0])
			translate([0,scaleBand(i,j)*width/2*cos(twistAmt(i,j)),scaleBand(i,j)*height/2*sin(twistAmt(i,j))])
			sphere(r=tubeDiameter/2,$fn = mesh_quality,center=true);
			rotate([0,0,angle+rotateAmt(i+1,j)])
			translate([0,distFromCenter+radialShift(i+1,j),0])
			translate([0,scaleBand(i+1,j)*width/2*cos(twistAmt(i+1,j)),scaleBand(i+1,j)*height/2*sin(twistAmt(i+1,j))])
			sphere(r=tubeDiameter/2,$fn = mesh_quality,center=true);
		}
	}
}

module connectTubesSolid(sides,tubeDiameter,width,height,angleStart,angleStop,distFromCenter,twist,segments,j){
	hull(){
		for (i=[0:sides-1]){
			translate([0,0,zShift(i+twist,j+1)])
			rotate([0,0,angleStop+rotateAmt(i+twist,j+1)])
			translate([0,distFromCenter+radialShift(i+twist,j+1),0])
			translate([0,scaleBand(i+twist,j+1)*width/2*cos(twistAmt(i+twist,j+1)),scaleBand(i+twist,j+1)*height/2*sin(twistAmt(i+twist,j+1))])
			sphere(r=tubeDiameter/2,$fn = mesh_quality,center=true);
			translate([0,0,zShift(0,j)])
			rotate([0,0,angleStart+rotateAmt(i,j)])
			translate([0,distFromCenter+radialShift(i,j),0])
			translate([0,scaleBand(i,j)*width/2*cos(twistAmt(i,j)),scaleBand(i,j)*height/2*sin(twistAmt(i,j))])
			sphere(r=tubeDiameter/2,$fn = mesh_quality,center=true);
		}
	}
}

module makeNSidedBlock(sides,tubeDiameter,width,height,angle,distFromCenter,j){
	translate([0,0,zShift(0,j)])
	hull(){
		for (i=[0:sides-1]){
			rotate([0,0,angle+rotateAmt(i,j)])
			translate([0,distFromCenter+radialShift(i,j),0])
			translate([0,scaleBand(i,j)*width/2*cos(twistAmt(i,j)),scaleBand(i,j)*height/2*sin(twistAmt(i,j))])
			sphere(r=tubeDiameter/2,$fn = mesh_quality,center=true);
		}
	}
}

function twistAmt(side,segment) =
	rotate_all_sides_angle
	+ 360*side/sides
	+ full_twists_per_rotation*360*segment/segments
	+ segment_twist_variation_angle/2*cos(segment_twist_variation_periods*360*segment/segments)
	+ face_twist_variation_angle/2*cos(face_twist_variation_periods*360*side/sides);

function rotateAmt(side,segment) =
	face_rotational_variation_angle/2*cos(face_rotational_variation_periods*360*side/sides)
	+ segment_spacing_variation_angle/2*cos(segment_spacing_variation_periods*360*segment/segments);

function zShift(side,segment) = z_shift_length/2*cos(z_shift_period*360*segment/segments);

function radialShift(side,segment) = radial_shift_length/2*cos(radial_shift_periods*360*segment/segments);

function scaleBand(side,segment) = (scale_segment_variation_max+scale_segment_variation_min)/2+(scale_segment_variation_max-scale_segment_variation_min)/2*cos(scale_segment_variation_periods*360*segment/segments);

```


[User]
Okay, I need some help designing a new worm gear, but I want it to be fully parametric. I've been playing around with a design I found, but it's not flexible enough for all the different linear actuators I want to use. I'm trying to adapt a linear actuator's ballscrew output to act as a worm gear, like in this design `Ballscrew_Worm_Gear_v7_davidlvann.scad`.

Here's the basic idea: The linear actuator's ballscrew becomes the "worm" and drives a gear with matching grooves. The gear needs to have a center hole for mounting, an optional flange, and an optional set screw. I need to be able to adjust almost all of the dimensions, since the linear actuators I've got vary quite a bit.

Here's a breakdown of what I'd like to parameterize:

**General Gear Parameters:**

*   **`num_teeth`**: The reduction ratio, which is the number of rotations of the ballscrew for one rotation of the gear.
*   **`center_hole_type`**: An integer selector to have no hole (`0`), a hexagonal hole (`1`), or a round hole (`2`).
*   **`center_hole_dimension`**: The diameter of the hole, specified as "across flats" if hex.
*   **`flange`**: Boolean ( `0` or `1` ) to enable or disable a flange on one side of the gear.
*   **`flange_thickness`**: The thickness of the flange.
*   **`flange_diameter`**: The overall diameter of the flange.
*  **`set_screw`**: Boolean (`0` or `1`) to enable or disable a set screw hole.
*   **`set_screw_diameter`**: The diameter of the hole for the set screw.
*   **`gear_added_thickness`**: How much extra thickness to add to the gear beyond the ballscrew diameter
*   **`ball_screw_OD`**: The outer diameter of the ballscrew (the diameter of the gear before groove carving)
*   **`screw_root_diam`**: The root diameter of the ballscrew's threads (not including the thread height).
*   **`lead`**: The distance the ballscrew travels for one full rotation.
*   **`starts`**: Number of independent threads on the ballscrew.
*   **`ball_diam`**: The diameter of the balls within the ballscrew - this determines the size of the teeth/grooves on the gear.

**Calculated / Derived Parameters:**

*   `gear_root_diam`: The gear diameter before the teeth are cut. This should be derived from the lead, number of teeth, and starts.
*   `OD`: The outer diameter of the gear. This should be the gear_root_diam + ball_screw_OD
*   `thickness`: Total gear thickness. Should be the ball_screw_OD + gear_added_thickness.
*   `lead_angle`: The angle of the thread.

**Other Important Details:**

*   I'd like a way to trim the gear diameter a bit on the outer edge to avoid thin edges/overhangs
*   I need to be able to add some "slop" to the groove size and fit, to help compensate for 3D printing inaccuracies or shrinkage.
*   It would be great if I can shrink the size of the center hole to account for shrinkage from 3D printing.

I'm hoping for a fully parametric design where all of the parameters above can be adjusted easily, and the gear updates automatically. The OpenSCAD file I provided gives a good idea of the core geometry.

I'm not looking for anything fancy, just a good clean design that works. I'd also like to have comments in the code describing the calculations, and a section at the top listing all of the modifiable parameters.

Also, I prefer to use the `BOSL` library.

[Assistant]
Ballscrew_Worm_Gear_v7_davidlvann.scad:
```
// Ballscrew "worm gear"

// Number of teeth = reduction ratio (number of turns of screw to turn gear once)
num_teeth = 90;
// Center Hole Type - Default is 7/16" Hex
center_hole = 1; // [ 0:No Hole, 1:Hex, 2:Round ]
// Center Hole Dimension - If hex, use "across flats" standard
hole_diam = 11.1125;
// Flange?
flange = 1; // [ 1:Yes,  0:No ]
// Flange Thickness (adds to total thickness)
flange_thickness = 6.0138;
// Flange Diameter
flange_diam = 40;
// Add a screw?
set_screw = 1; // [ 1:Yes, 0:No ]
set_screw_diameter = 3;
// Gear Added Thickness (added to ball screw OD to find gear thickness)
gear_added_thickness = 2;
// Ball Screw OD = default gear thickness
ball_screw_OD = 16.5862;
// Screw Root Diameter ("excluding" height of threads)
screw_root_diam = 14.2748;
// Lead = distance traveled by one thread, one rotation apart
lead = 8.49;
// Number of starts (independent threads on screw)
starts = 2;
// Ball Diameter = size of "teeth"
ball_diam = 3.175;

// Calculated and/or renamed parameters
gear_root_diam = num_teeth * lead / starts / PI;
OD = gear_root_diam + ball_screw_OD;
thickness = ball_screw_OD + gear_added_thickness;
lead_angle = atan( lead / (PI * (screw_root_diam + ball_diam)) );

// Trim the gear diameter to eliminate thin edges and overhangs
trim = 4;
// Slop is added to several calculations to improve fit and counteract shrinkage
slop = 0.05;
// Percent Shrink - Increase hole size by this percentage
shrink = 0.08;
circ_rad = hole_diam/2 / cos(PI/20) * (1 + shrink);
hex_rad =  hole_diam / sqrt(3) * (1 + shrink);

if(flange == 1)
{	echo("Total thickness: ", thickness + flange_thickness ); }
else
{	echo("Total thickness: ", thickness ); }

echo("Outer diam: ", OD - trim*2);
echo("Lead angle: ", lead_angle);
echo("Desired round hole diam: ", hole_diam);
echo("Desired hex hole corner-to-corner: ", hole_diam*2/sqrt(3));
echo("Compensated round hole diam: ", 2*circ_rad);
echo("Compensated hex hole corner-to-corner*: ", 2*hex_rad);

module worm_gear()
{
difference()
{
	union()
	{
		rotate_extrude($fn = num_teeth)
		difference()
		{
		square( [ gear_root_diam/2 - trim, thickness] );

		translate( [ gear_root_diam/2, thickness/2 ] )
		circle( r = ball_screw_OD/2 + slop, $fn = 60 );
		}
		for( i = [0:num_teeth-1] )
		rotate( [ 0, 0, i*360/num_teeth ] )
		translate( [ gear_root_diam/2, 0, thickness/2 ])
		circular_groove(ball_diam, screw_root_diam + slop, lead_angle, trim);

		// Adds a flange to increase contact area
		if( flange == 1 )
		{
			translate( [ 0, 0, thickness ] )
			cylinder( r = flange_diam/2, h = flange_thickness );
		}
	}

	// Cut out set screw hole
	if( set_screw == 1 )
	{
		translate([0,0, thickness+flange_thickness/2] )
		rotate( [ 90, 0, 0 ] )
		cylinder( r = set_screw_diameter/2 / cos(PI/12),
				h = flange_diam/2, $fn = 12 );
	}

	// Hex shaft hole
	if( center_hole == 1)
	cylinder( r = hex_rad, h = 2*thickness + flange_thickness, $fn = 6 );

	// Round hole
	if( center_hole == 2)
	cylinder( r = circ_rad, h = 2*thickness + flange_thickness, $fn = 20);

	// Diagnostic cutouts for printing
	//translate( [ 0, -OD/2, thickness/2 ] )
	//cube( [ OD, OD, OD ] );

	//cube( [ OD, OD, OD ] );

	//cylinder( r = (OD - ball_screw_OD)/2 - 2, h = thickness + 1, $fn = floor(num_grooves));
}
}

module circular_groove(ball_diam, root_diam, lead_angle, trim)
{
	n = 60;

	rotate( [ 90 - lead_angle, 0, 0 ] )
	difference()
	{
		rotate_extrude($fn = n)
		translate( [ (root_diam + ball_diam )/2 / cos(PI/n), 0 ] )
		difference()
		{
			circle( r = ball_diam/2, $fn = 8 );

			translate( [ 0, -ball_diam/2, 0 ] )
			square( [ 2*ball_diam, 2*ball_diam ] );
		}

		translate( [ -trim, -root_diam, -ball_diam ] )
		cube( [ 2*root_diam, 2*root_diam, 2*ball_diam] );
	}
}

//circular_groove(ball_diam, ball_screw_OD, lead_angle, trim);
worm_gear();

//%cylinder( r = 6.4158, h = 30, $fn = 24);

```


[User]
Okay, I'm looking to get some help creating a parametric model in OpenSCAD. I'm designing a small part to hold the edge of a piece of custom-cut glass onto my 3D printer's heated bed, which is a Helios. The current design is a bit rough and I'd like it to be more flexible and adjustable.

Here's what the part needs to do:

*   **Base Shape:** The main structure will be a triangle with rounded edges where it will touch the bed. The corners of the triangle will form the edges of the part.
*   **Glass Holding Feature:** The edges of the triangle will have a recessed inner triangle that will hold the glass. The depth of the triangle offset should be adjustable to fit different thickness of glass.
*   **Mounting:** The part will attach to the printer bed using a single countersunk screw. There should be a cylindrical hole for the screw to pass through, and a larger recess for the screw head.
*   **Parametric Design:** I need to be able to adjust several dimensions:
    *   The width of the outer triangle edges.
    *   The height/thickness of the main part.
    *   The height/depth of the inner recessed triangle.
    *   The width of the inner recessed triangle’s edges.
    *   The radius of the rounded edges where it contacts the bed.
    *   The diameter of the screw hole and screwhead recess.
    *   The height/depth of the screwhead recess.

I'm also using OpenSCAD's built in `hull()` function, and this design will be 3D printed so I also would like to be able to control the number of segments that are generated to create the rounded edges.

I would like this to be written in OpenSCAD, and I'd like it to be parametric, meaning that all of those values above are defined as variables at the start of the file. I would also like to have comments so that it is clear what is going on, and well organized.

[Assistant]
glass_holders.scad:
```

// Width of triangle edges
triangle_width = 20;
// Height of triangle
triangle_height = 5;

// Height of inner triangle difference
tri_offset_height = 2.5;
// Edge of inner triangle difference
tri_offset_width = 17;

// Outer circle radius
circle_radius = 5;
// Screw hole width
screw_hole_width = 2;

// Screwhead diameter
screwhead_diameter = 6.2;
// Screwhead height
screwhead_height = 3;

tri_offset_x = (triangle_width - tri_offset_width);
tri_offset_y = (triangle_width - tri_offset_width);

render (convexity = 1) {
   create_part();
}

module create_part() {

difference() {
  union() {
	cylinder(h = triangle_height, r = circle_radius, center = false);

  	polyhedron(
		points = [
			[0, 0, 0], [0, 0, triangle_height],
			[0, - triangle_width, 0], [0, - triangle_width, triangle_height],
			[- triangle_width, 0, 0], [- triangle_width, 0, triangle_height],
			],
		triangles = [
			[1,0,2], [1,2,3],
			[0,1,4], [1,5,4],
			[0,4,2], [1,3,5],
			[4,5,3], [3,2,4]
		]
	);
  }
  translate(v=[0, 0, triangle_height-screwhead_height]) {
	cylinder(h = screwhead_height, r = screwhead_diameter/2, center = false);
  }

  polyhedron(
	points = [
		[ - tri_offset_x, - tri_offset_y, -.01], [- tri_offset_x, -tri_offset_y , tri_offset_height],
		[- tri_offset_x, - triangle_width + tri_offset_y - .01, -.01], [- tri_offset_x, - triangle_width - tri_offset_y + .01, tri_offset_height],
		[- triangle_width + tri_offset_x - .01, -tri_offset_y, -.01], [- triangle_width + tri_offset_x - .01, - tri_offset_y, tri_offset_height],
		],
	triangles = [
		[1,0,2], [1,2,3],
		[0,1,4], [1,5,4],
		[0,4,2], [1,3,5],
		[4,5,3], [3,2,4]
	]
  );
  translate(v = [0, 0, -0.01]) {
  	cylinder(h = triangle_height + 0.02, r = screw_hole_width, center = false);
  }
}

}
```


[User]
Okay, I'm looking for a custom corner protector that I can 3D print. I have some specific needs and I'd like to be able to easily adjust them using parameters.

Here's what I need:

1.  **Overall Shape:** It should be a corner protector designed to fit around a 90-degree corner. The basic shape will be a cube with the corner cut out, like the attached file, but I need to be able to adjust the dimensions.

2.  **Parametric Dimensions:**
    *   **Corner Size:**  I need to set the overall size of the corner protector (the length of each side of the cube that forms the main body). Let's call this `Corner_Size`.
    *   **Thickness:**  I need to be able to control how thick the protector is. Let's call this `Thickness`.
    *   **Fillet Radius:** I want rounded edges on the protector.  Instead of specifying the radius directly, I want to control it as a percentage of the thickness.  So, let's call this `Fillet_Percentage`, with a range from 0 to 100, where 0 is no rounding and 100 is the maximum rounding based on thickness.

3.  **Screw Holes:**
    *   I need to include screw holes to attach the protector.
    *   **Screw Shaft Diameter:** The diameter of the screw shaft, `Screw_Shaft_Diameter`.
    *   **Screw Head Diameter:** The diameter of the screw head, `Screw_Head_Diameter`.
    *   **Countersink:** I need the option to have the screw holes countersunk or not, `Countersink`, with "Yes" or "No" options.
    *   **Screw Head Thickness:** If countersunk, I need to define the depth of the countersink (or the thickness of the screw head, if not countersunk), `Screw_Head_Thickness`.
    *   **Distance From Edge To Screw:**  I need to be able to control how far the screw holes are from the edges of the protector, `Distance_From_Edge_To_Screw`.

4.  **Fillet Details:**
    *   I need all the edges of the corner protector to be filleted, including where the faces meet, with the radius being calculated from `Fillet_Percentage`.
    * I need to have a large rounded area near each screw hole, almost like a chamfer that also goes on the outside. This should be a rounded shape.

5.  **Resolution:** I want to be able to control the resolution for rendering, for example, using `$fs`. I don't need to specify any value, but I want to be able to tweak it.

6.  **Manifold:** It is important to make sure that the resulting STL is manifold.

I'm looking for a single OpenSCAD file that includes all these parameters and generates the corner protector. I don't have any other code or files for you except the one attached as an example. I also need the script to use the $fa and $fs variables in it. I'm not using any external libraries.

[Assistant]
corner_support_070413.scad:
```

/*Corner support/protector by ei8htohms.tinypart.net - 7-4-13*/

/*[General]*/
//Overall size of corner support
Corner_Size = 31;
//Thickness of support
Thickness = 6;
//Percentage of thickness to make fillet radius (how rounded)
Fillet_Percentage = 80;//[0:100]

/*[Screw Dimensions]*/
//Screw shaft diameter
Screw_Shaft_Diameter = 3;
//Screw head diameter
Screw_Head_Diameter = 5;
//Enter "yes" for countersunk screws, "no" for flat
Countersink = "Yes";//[Yes,No]

/*[Screw Placement]*/
//Screw head thickness or depth of head recesss for countersunk
Screw_Head_Thickness = 2;
//How far from the edge of the protected object should the screws be inset
Distance_From_Edge_To_Screw = 13;

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

/*[Hidden]*/
//Fillet radius, do not change
fRad = Thickness * (Fillet_Percentage / 100);
//leave $fn disabled, do not change
$fn = 0;
//leave $fa as is, do not change
$fa = 0.01;
//padding to insure manifold, do not change
Padding = 0.01;

difference(){
    translate([-Thickness, -Thickness, -Thickness]) cube([Corner_Size, Corner_Size, Corner_Size]);
	 cube([Corner_Size-Thickness+Padding, Corner_Size-Thickness+Padding, Corner_Size-Thickness+Padding]);

    //Add screw holes
    translate ([Distance_From_Edge_To_Screw,-(Thickness/2),Distance_From_Edge_To_Screw])
    rotate([-90,0,0])
    screw_hole(); //xz plane screw hole
    translate ([Distance_From_Edge_To_Screw,Distance_From_Edge_To_Screw,-(Thickness/2)])
    rotate([0,0,0])
    screw_hole(); //xy plane screw hole
    translate ([-(Thickness/2),Distance_From_Edge_To_Screw,Distance_From_Edge_To_Screw])
    rotate([0,90,0])
    screw_hole(); //yz plane screw hole

    //Add fillet edges
    translate([-Thickness,-Thickness,-Thickness])
    rotate([0,0,0])
    fillet(); //z axis fillet
    translate([-Thickness,-Thickness,-Thickness])
    rotate([90,0,90])
    fillet(); //x axis fillet
    translate([-Thickness,-Thickness,-Thickness])
    rotate([-90,-90,0])
    fillet(); //y axis fillet
    translate([-Thickness,-Thickness,Corner_Size-Thickness])
    rotate([0,90,0])
    fillet(); //x axis z offset fillet
    translate([Corner_Size-Thickness,-Thickness,-Thickness])
    rotate([0,0,90])
    fillet(); //z axis x offset fillet
    translate([-Thickness,-Thickness,Corner_Size-Thickness])
    rotate([-90,0,0])
    fillet(); //y axis z offset fillet
    translate([-Thickness,Corner_Size-Thickness,-Thickness])
    rotate([0,0,-90])
    fillet(); //z axis y offset fillet
    translate([-Thickness,Corner_Size-Thickness,-Thickness])
    rotate([180,-90,0])
    fillet(); //x axis y offset fillet
    translate([Corner_Size-Thickness,-Thickness,-Thickness])
    rotate([-90,180,0])
    fillet(); //y axis x offset fillet

    //Add fillet corners
    translate([-Thickness, -Thickness, -Thickness])
    rotate([0,0,0])
    fillet_corner(); //origin corner
    translate([Corner_Size-Thickness, -Thickness, -Thickness])
    rotate([0,0,90])
    fillet_corner(); //x axis corner
    translate([-Thickness, -Thickness, Corner_Size-Thickness])
    rotate([-90,0,0])
    fillet_corner(); //z axis corner
    translate([-Thickness, Corner_Size-Thickness, -Thickness])
    rotate([0,0,-90])
    fillet_corner(); //y axis corner

    //Add big round corners
    translate([Distance_From_Edge_To_Screw, Distance_From_Edge_To_Screw, -Thickness])
    rotate([0,0,0])
    big_round_corner(); //on xy plane
    translate([Distance_From_Edge_To_Screw, -Thickness, Distance_From_Edge_To_Screw])
    rotate([-90,-90,0])
    big_round_corner(); //on xz plane
    translate([-Thickness, Distance_From_Edge_To_Screw, Distance_From_Edge_To_Screw])
    rotate([90,0,90])
    big_round_corner(); //on yz plane
}

//Create a big, rounded, fillet corner around the screw holes
module big_round_corner() {
    difference() {
        translate([0,0,-Padding])
        cube([Corner_Size-Thickness-Distance_From_Edge_To_Screw+Padding,Corner_Size-Thickness-Distance_From_Edge_To_Screw+Padding,Thickness+Padding*2]);
        translate([0,0,-Padding*2])
        cylinder(r = Corner_Size-Thickness-Distance_From_Edge_To_Screw-fRad, h = Thickness+Padding*4);
        rotate_extrude ()
        translate([Corner_Size-Thickness-Distance_From_Edge_To_Screw-fRad, fRad, 0])
        circle(r = fRad+Padding); /*This be the donut itself*/
        translate([0,0,fRad])
        cylinder(r =  Corner_Size-Thickness-Distance_From_Edge_To_Screw+Padding,h = Thickness-fRad+Padding*2);
    }
};

//Create rounded corners
module fillet_corner() {
    difference () {
        translate([-Padding, -Padding, -Padding]) cube([fRad, fRad, fRad]);
    	translate([fRad, fRad, fRad]) sphere(r = fRad+Padding);
    }
};

//Create rounded edges
module fillet() {
    difference() {
        translate([-Padding,-Padding,-Padding])
        cube([fRad, fRad, Corner_Size + (Padding * 2)]);
        translate([fRad, fRad, -(Padding * 2)])
        cylinder(h = Corner_Size + (Padding * 4), r = fRad + Padding);
    }
}

//Create screw holes
module screw_hole(){
 	union() {
   	cylinder(h = Thickness+Padding, r= (Screw_Shaft_Diameter/2), center = true);
      translate([0,0,-((Thickness+Padding)/2)])
      cylinder(h = Screw_Head_Thickness, r = (Screw_Head_Diameter/2));
		if (Countersink == "Yes")
			{translate([0,0,-((Thickness+Padding)/2)+(Screw_Head_Thickness-Padding)])
			cylinder(h = (Screw_Head_Diameter/2-Screw_Shaft_Diameter/2) + Padding, r1 = Screw_Head_Diameter/2, r2 = Screw_Shaft_Diameter/2);
			}
    }
};
```


[User]
Okay, I need a custom, collapsible measuring cup designed in OpenSCAD. I've seen a design that uses rings that slide inside of each other, which is exactly what I'm looking for.

Here are the key features I want in the design, and I'd like them to be adjustable parameters:

**Overall Structure:**

*   **Collapsible Rings:** The cup should be made of multiple concentric rings that slide inside of each other, allowing the cup to collapse flat for storage and expand for use.
*   **Captive Rings:** The rings need to be designed so they cannot separate from each other, even when fully expanded or collapsed. They should "snap" into place at both the collapsed and expanded positions. I want to avoid the rings from rattling around loosely.
*  **Volume**: I want to be able to set a desired cup volume, and have that affect the ring sizes.

**Parameters:**

*   **`diameter`**: The inside diameter of the largest (outermost) ring in millimeters. I'd like to be able to set this.
*   **`ringHeight`**: The height of each individual ring when the cup is collapsed. This can be adjusted. I need this to be adjustable.
*   **`numRings`**: The number of rings making up the cup. I need to be able to adjust this as well.
*   **`wallSpacing`**: The space between the outer wall of one ring and the inner wall of the next larger ring (when expanded). This determines the cup's expanded diameter and needs to be an adjustable value.
*   **`wallThickness`**: The thickness of each ring wall.
*   **`gap`**: The clearance (or gap) between parts, which is also important for printing. This needs to be adjustable to accommodate different printer tolerances.
*   **`handleType`**: An option to choose different handle types. It would be great to have options for "none", a "vertical" handle (a simple straight bar on the side), or a "round" handle (a loop for hanging).
*   **`handleSize`**: If a handle is included, the size of the handle (width of a vertical bar, or radius of a circle).
*   **`holeSize`**: If a round handle is chosen, the radius of the hole within the handle to hang the cup from.
*  **`cupVolume`**: The target volume in cubic millimeters of the cup.
* **`font_size`**: The size of any label text printed.

**Other considerations:**

*   **Smoothness:** The code should allow for setting `$fn` for smooth circles.
*   **Preview Mode:** A "preview" mode to stretch the rings out, showing them in a stacked-but-not-collapsed view. This would help show how the rings fit together.

**Libraries:**
* The `write/Write.scad` library for creating labels.
* The `utils/build_plate.scad` library for including a build plate.
I don't need the specific files of those libraries, just that the code uses them.

I'd like to have the cup volume displayed as a label, including the unit "Cups" and rounded to two decimal places.

I'd also like the option to cut a cross-section in half for checking the design.

Please provide the complete OpenSCAD code, including all parameter definitions.

[Assistant]
cup-nest-v2.scad:
```
use <write/Write.scad>;

use <utils/build_plate.scad>

// Constants

pi=3.1415926*1; // pi
cup=236.588237*1000; // 1 cup in cubic mm
$fn=64*1; // smoothness

// Print (plated) or Preview (stretched tall)
preview=0; // [0:Print, 1:Preview]

// Diameter (inside of the largest ring)
diameter=60;

// Height of each ring. This is the height when collapsed.
h=20;

// Number of rings
numRings = 3;

// Spacing between walls
spacing=4;

// Thickness of walls
tt=2;

// Gap between parts. Make as small as your printer allows.
g=0.6;

// View
half=0; //[0:Whole thing, 1:Cross section]

// Handle shape
handle=2; //[0:None, 1:Vertical, 2:Round]
// Handle Size
handleSize = 10;
// Radius of hole in handle (for round handle, so you can hang it up)
holeSize=2.5;

//for display only, doesn't contribute to final object
build_plate_selector = 0; //[0:Replicator 2,1: Replicator,2:Thingomatic,3:Manual]

//when Build Plate Selector is set to "manual" this controls the build plate x dimension
build_plate_manual_x = 100; //[100:400]

//when Build Plate Selector is set to "manual" this controls the build plate y dimension
build_plate_manual_y = 100; //[100:400]

// end of parameters

// How many cups?
//scale = 1; //[1:Cup, 0.5:Half Cup, 0.25:Quarter Cup]
// Label Line 1
//label1 = "Laird";
// Label Line 1
//label2 = "Cup";
// Font Size
fsize=5;

s=spacing+tt;
fullHeight=numRings*(h-tt);

echo("Height = ",fullHeight," mm.");

or=diameter/2;
ir=or-(numRings-1)*s;

echo(str("Outer radius ",or," and inner radius ",ir,"."));

echo(str("ir=",ir," and or=",or,"."));
v=(1/3)*pi*fullHeight*(ir*ir+or*or+ir*or);
echo(str("vol=",v,"."));

cups=v/cup;
label3=str(floor(cups*100+.5)/100," Cups");	// Round to 0.01 cups, to avoid long numbers

echo(label3);

//%translate([0,-or-10,0]) write(label3);

module ring(radius, thickness, height, slant) {
	difference() {
		cylinder(r=radius+thickness, h=height);
		// offsets to avoid parallel faces
		translate([0,0,-.1]) cylinder(r=radius, h=height+.2);
		}
	}

// ring

module ring2(ir1, or1, ir2, or2, height) {
	difference() {
		cylinder(r1=ror1, r2=or2, h=height);
		translate([0,0,-.01]) cylinder(r1=ir1, r2=ir2, h=height+.02);
		}
	}

module writeText() {
	translate([0,fsize,0]) write(label1,center=true,h=fsize,t=tt*2/3);	// First line
	translate([0,-fsize,0]) write(label2,center=true,h=fsize,t=tt*2/3);	// Second line
	}

o=tt/2;//overlap
b=o/2;//bump

h1=0;
h2=o;
h3=h2+b;
h4=h3+b;
h8=h;
h7=h8-o;
h6=h7-b;
h5=h6-b;

r1=g;
r2=g+o;
r4=s;
r3=s-tt;
r5=s+b;
r6=r4+o;

points = [[r2,h1],[r1,h2],[r2,h4],[r3,h4],[r3,h8],[r6,h8],
				[r4,h7],[r5,h6],[r4,h5],[r4,h4],[r5,h3],[r4,h2],[r6,h1],[r2,h1]];

// Uncomment the following for testing the polygon and the extrusion
//rotate_extrude()
//polygon(points,convexity=10);
//rotate_extrude()
//translate([s,0,0]) polygon(points,convexity=10);

module cup() {
	difference() {
		union() {
			cylinder(r=ir-tt,h=tt);
			echo(str("Rings from ",ir," to ",or," step ",s,"."));
			for (rad=[ir:s:or]) {
				translate([0,0,preview*((rad-ir)/s)*(h-tt)]) rotate_extrude() translate([rad-s,0,0])
					polygon(points,convexity=10);
				}
			}
		//scale([-1,1,1]) writeText();
		}

	translate([0,0,preview*(fullHeight-h+tt)]) difference() {
		translate([or,0,0]) {
			if (handle==1) translate([0,-tt,0]) cube([handleSize,2*tt,h]); // handle
			if (handle==2) difference() {
				cylinder(r=handleSize, h=h);
				translate([tt+holeSize, 0, -.1]) cylinder(r=holeSize, h=h+.2);
				translate([-or,0,-1]) cylinder(r=or-o, h=h+2);
				}
			}
		}

	//translate([0,0,tt]) writeText();
	}

difference() {
	cup();
	if (half) translate([-200,-200,-1]) cube([400,200,100]);	// chop in half to check alignments
	}

build_plate(build_plate_selector,build_plate_manual_x,build_plate_manual_y);
```


[User]
Okay, I need a parametric anemometer design in OpenSCAD. I've got a basic model in mind, but I'd like to be able to easily tweak various aspects.

Essentially, I want a rotating anemometer with a central hub, arms radiating outwards, and cups attached to the ends of the arms. Think of a typical three-cup anemometer.

Here are the specific parameters I'd like to control:

*   **Number of Cups (N):** I'd like to be able to set the number of cups, not just be limited to three.
*   **Hub Radius (hub_r):** The radius of the central hub cylinder.
*   **Hub Height (hub_h):** The height of the central hub cylinder.
*   **Arm Length (arm_length):** The length of the arms extending from the hub to the cup holders.
*   **Arm Width (arm_width):** The width of the arms.
*   **Arm Thickness (arm_thickness):** The thickness of the arms.
*  **Arm Offset (arm_offset_z):** The vertical offset of the arms relative to the middle of the hub.
*   **Cup Holder Offset (cup_holder_offset):**  The distance from the end of the arm where the cup is attached. It is effectively an x,y,z offset for the cup.
* **Cup Radius (cup_r):** The radius of the individual cups.
* **Cup Cutout Radius (cup_cutout_r):** The radius of the cutout in the cup - this will help create the 'cup' shape.
*   **Cup Holder Radius (cup_holder_r):** The radius of the sphere used to create a base for each cup.
*   **Cup Holder height (cup_holder_h):** The height of the cube used to create a base for each cup.

I'd also like the base of the cup to be a bit more complex - a sphere with a cube cutting through it to form a kind of mount.

I'd like a central hub created by subtracting a cylinder from a larger cylinder. Also, the arms should be positioned around the z axis of the hub.

Could you provide an OpenSCAD file that incorporates all of these parameters? I'm not using any libraries, so pure OpenSCAD primitives is preferred for this version. Thank you!

[Assistant]
anemometre.scad:
```

N=3;    // nombres de pales

difference() {
cylinder(h = 3, r=15, center =true);
cylinder(h = 7, r=8.5, center =true);
}

for ( i = [0 : N-1] )

{
    rotate( i * 360 / N, [0, 0, 1])

translate(v = [30, 0, 0])
{
cube (size = [40,5,3], center =true);

}

rotate( i * 360 / N, [0, 0, 1])

translate(v = [51, 3, 13.4])
difference()  {
    sphere(r = 15, $fn=100);

    union() {
       sphere(r = 12, $fn=100);

       translate(v = [0, 10, 0])
       cube (size = [32,21,32], center =true);
}
}
}
```