[User]
Okay, I'm looking for an OpenSCAD file that generates a set of educational blocks for learning about logarithms, multiplication, factors, and prime numbers. I've got an existing design I like, called "Logprimus," but it needs some improvements and to be more parametric. I want something that is easily customizable.

Here's what I envision:

**Core Functionality:**

*   **Logarithmic Block Heights:** Each block should represent an integer, and its height should be proportional to the logarithm of that integer (using base e, or the natural log). This will visually show the log relationship when blocks are placed end-to-end.
*   **Block Labeling:**  Each block needs to display the integer it represents on all four sides. I like using the `write/Write.scad` library that I've seen in the current Logprimus design.
*   **Stackable Design:** The blocks should stack reliably on top of each other. The existing design implements a peg and socket system, which I like.
*   **Ruler:** I'd like an optional ruler with tick marks scaled logarithmically to match the blocks.

**Parametric Controls:**

I need to be able to control the following:

*   `number_of_blocks`:  How many different numbered blocks are generated (e.g., 16 blocks representing the integers 2 through 17 if `block_start = 2`).
*   `block_start`: The starting integer for the sequence of blocks (e.g., 2 would make blocks for 2, 3, 4, and so on).
*   `number_of_each_block`:  How many copies of each numbered block should be produced. This allows generating multiple copies to explore multiplication and factorizations
*   `is_stackable`: A boolean to toggle stacking pegs/holes on or off.
*   `selected_font`: The font to use for labeling the blocks. Ideally this would let me pick from those available in `write/Write.scad`.
*   `make_ruler`: A boolean to toggle the ruler on or off.
*  `high_mark`:  The highest integer represented on the ruler. This would be a log-scaled ruler.
*   `length_scalar`: This variable from the original SCAD file controls the overall scaling of the blocks. I'd like to keep that functionality.
*   `block_spacing`: This also affects the layout and should be parametric.

**Specific Design Details (from the existing Logprimus):**

*   I like the layout of the blocks using a square(ish) grid and multiple copies of each block offset in the X dimension.
*   I'd like to use the same type of peg and socket system for stacking, but the current system has issues with tolerance and precision. The peg and socket should be properly sized to allow for a good fit. The current design uses cylinders for both the peg and socket, but perhaps this can be made more robust with a different system.
*   The blocks in the current design have rounded edges/corners. I would like to keep that.

**Libraries:**

*   I am using the `write/Write.scad` library for fonts. Please ensure this library is loaded properly. I do not have the source code to this library; it will need to be included.

**Output:**

The output should be a single .scad file that generates all the specified blocks and the ruler.  The blocks should be arranged in a way that is easy to print.

Could you please provide the OpenSCAD code for this? I'm really excited to see how this turns out!

[Assistant]
logprimus_v2.scad:
```
// "Logprimus" learning blocks for logarithms,
//   multiplication, factors, and primes
//
// by seedwire
// 11/14/2013
//

use <write/Write.scad>

// How many prime blocks?
number_of_blocks = 16; // [1:49]

// Start with this block number
block_start = 2; // [2:16]
block_start0 = block_start - 2;

// How many of each block?
number_of_each_block = 1; // [1:4]

// Stackable?
is_stackable = "yes"; // [yes,no]
stackable = (is_stackable == "yes");

// Which font?
selected_font = "orbitron"; // [orbitron,Letters,BlackRose,knewave,braille]
the_font = str("write/", selected_font, ".dxf");

// Ruler
make_ruler = "yes"; // [yes,no]

// High mark on ruler?
high_mark = 32; // [2:32]

/*[Hidden]*/
// Block scale (1=tiny, ...)
length_scalar = 40.0;

block_spacing = length_scalar / 6;
x = 1;
y = 1;
blocked_plate_side = sqrt(number_of_blocks);

for(iter = [0 : number_of_each_block-1])
for(n = [2 : number_of_blocks+1]) {
	assign(x = (n-2) % ceil(blocked_plate_side), y = floor((n-2) / blocked_plate_side)) {

	  	translate([iter*((1+ceil(blocked_plate_side)*(0.4 * 					  length_scalar + block_spacing)))
						+
					  x *(0.4 * length_scalar + block_spacing),
				     y * (0.4 * length_scalar + block_spacing),
				     0])
		 color([x / blocked_plate_side, 0.7 * y / blocked_plate_side, x%y / blocked_plate_side / blocked_plate_side]) block(n+block_start0, [0.4 * length_scalar ,0.4 * length_scalar]);
	}
}

// Build the ruler
if(make_ruler == "yes") {
	difference() {
		translate([-2, (-0.4*1.25*length_scalar) - block_spacing, 0]) cube([length_scalar * log(high_mark)+2,1.25*0.4*length_scalar,2]);
		union() {
			translate([0, (-0.4*1.25*length_scalar) - block_spacing+2, 1]) cube([length_scalar * log(high_mark)+1,1.25*0.4*length_scalar-4,2]);
		for(n = [2 : high_mark]) {
			if(n % 10 == 0) {
				translate([log(n)*length_scalar, (-0.4*1.25*length_scalar) - block_spacing+0.5, 0.75]) cube([0.35,1.25*0.4*length_scalar-1,2]);			} else {
				translate([log(n)*length_scalar, (-0.4*1.25*length_scalar) - block_spacing+1, 0.75]) cube([0.35,1.25*0.4*length_scalar-2,2]);
				}
			}
		}
	}

}

module block(integer, section, center)
{
	the_str = str(integer);
	difference () {
		difference() {
			union() {
				if(stackable) {
					difference() {
						block0(integer, section, center);
						translate([section[0]/2,section[0]/2, (log(integer)*length_scalar) + section[0]/15]) cylinder(h=10, r=3.3, center=true); // a peg hole
					}
				} else {
					block0(integer, section, center);
				}
			}
			if(stackable) { translate([0,0, -(log(integer)*length_scalar) + section[0]/15]) block0(integer, section, center);
									}
		}
		union() { writecube(t=3, h=section[0]/2.5, face="front", text=the_str, where=[section[0]/2, section[1]/2, ((log(integer)*length_scalar) - section[1]/8)/2], size=[section[0], section[1], (log(integer)*length_scalar) - section[1]/8], font=the_font);
		writecube(t=3, h=section[0]/2.5, face="back", text=the_str, where=[section[0]/2, section[1]/2, ((log(integer)*length_scalar) - section[1]/8)/2], size=[section[0], section[1], (log(integer)*length_scalar) - section[1]/8], font=the_font);
		writecube(t=3, h=section[0]/2.5, face="left", text=the_str, where=[section[0]/2, section[1]/2, ((log(integer)*length_scalar) - section[1]/8)/2], size=[section[0], section[1], (log(integer)*length_scalar) - section[1]/8], font=the_font);
		writecube(t=3, h=section[0]/2.5, face="right", text=the_str, where=[section[0]/2, section[1]/2, ((log(integer)*length_scalar) - section[1]/8)/2], size=[section[0], section[1], (log(integer)*length_scalar) - section[1]/8], font=the_font);
		}
	}
	translate([section[0]/2,section[0]/2, 0]) cylinder(h=10, r=3); // a peg

}

module block0(integer, section, center)
{
	if(stackable) {
		hull() {
			cube([section[0], section[1], (log(integer)*length_scalar) - section[1]/8], center=center);
			union() {translate([section[0]/5, section[0]/5, (log(integer)*length_scalar) - section[0]/8]) sphere(r=section[0]/8+1);
		}
			translate([section[0]-section[0]/5, section[0]/5, (log(integer)*length_scalar) - section[0]/8]) sphere(r=section[0]/8+1);

			translate([section[0]-section[0]/5, section[0]-section[0]/5, (log(integer)*length_scalar) - section[0]/8]) sphere(r=section[0]/8+1);

			translate([section[0]/5, section[0]-section[0]/5, (log(integer)*length_scalar) - section[0]/8]) sphere(r=section[0]/8+1);
		  }
	} else {
		// The very simplest...
		cube([section[0], section[1], (log(integer)*length_scalar) - section[1]/8], center=center);
	}
}

```


[User]
Okay, I'm trying to design a system for teaching statistics using 3D printed manipulatives, and I have a couple of existing OpenSCAD files that I'd like to combine and make more flexible.

Right now, I have two main files. One, `Stats_holder.scad`, creates a tray with vertical tubes (like small cylinders) where pegs can be placed, and includes a space to label the tubes with numbers.  The other, `Stats_Pegs.scad`, generates the pegs themselves, each with a number printed on the top face. I'm using the `write/Write.scad` library for the text on both the tray and the pegs.

Here's what I'd like to achieve in a single, more comprehensive, parametric OpenSCAD file:

**Combined Functionality:**
1.  **Tray Generation:** This will use the logic from `Stats_holder.scad` to make the tube holder tray. I need to be able to control:
    *   The number of tubes in the tray (like the current `tubes` parameter).
    *   The starting number for the tube labels (like the `numstart` parameter).
    *   Whether the tubes are labeled with numbers at all (like the `numbers` parameter).
2.  **Peg Generation:** This should use the peg generation logic from `Stats_Pegs.scad` so that I can generate sets of pegs with a given distribution. I will need to be able to set:
    *   The average value of the set (like the `ave` parameter).
    *   The standard deviation of the set (like the `std` parameter).
    *   The size of the peg matrix (both rows and columns, like the `size` parameter).
3.  **Peg-Tray Compatibility:** The peg dimensions should match the tubes on the tray, so the pegs can slide smoothly into the tubes when printed. This is something the current files already handle well, but I want to make sure it's preserved when combined.
4.  **Customization:** I want the ability to control the tube dimensions (diameter and height) independently. The same goes for peg dimensions.
5.  **Layout:** I need the peg matrix to not be placed on top of the tray, so the generated pegs are separate objects.
6.  **File Output:** I would like an output that has 2 separate objects so that they can be printed using multi-part printing if needed.

**Desired Parameters:**
*   `tube_count` (integer): The number of tubes in the tray.
*   `tube_start_number` (integer): The starting number for the labels on the tubes.
*   `label_tubes` (boolean): Whether to label the tubes with numbers ("true" or "false").
*   `target_average` (float): The desired average value of the peg numbers.
*   `target_std_dev` (float): The desired standard deviation of the peg numbers.
*   `matrix_size` (integer): The size (number of rows and columns) of the peg matrix.
*   `tube_diameter` (float): The diameter of the tubes.
*   `tube_height` (float): The height of the tubes.
*    `peg_diameter` (float): The diameter of the pegs.
*   `peg_height` (float): The height of the pegs.

**Additional Considerations:**
*   I'd like the peg matrix to be generated using the same random number algorithm as the existing `Stats_Pegs.scad` file to maintain consistency with current output.
*   I need to use the `write/Write.scad` library for text.
*   I don't need to be able to change the font size or thickness but it's fine if they are exposed as parameters.
*   I'd like to make sure the tray and the pegs can be printed separately and don't intersect.
*    The design should be clean and efficient for printing

Can you generate an OpenSCAD file with these combined functionalities and parameters?

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

//How many tubes?
tubes=8; // [1:30]
//Starting tube number?
numstart=1;
//Label the tubes with numbers?
numbers="Yes";  // [Yes,No]

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

width=tubes*16; //increments of 16

difference()
	{
		cube ([width+1,115,13]);

	for (x=[0:width/16+1])
		{
		translate([x*16-7.5,5,8]) rotate([-90,0,0]) cylinder (r=7.1,h=120);
		translate([x*16-7.5,15,-1])cylinder (r=2.5,h=4);
		translate([x*16-7.5,65,-1])cylinder (r=2.5,h=4);
		translate([x*16-7.5,55,-1])cylinder (r=2.5,h=4);
		translate([x*16-7.5,105,-1])cylinder (r=2.5,h=4);
		translate([x*16-10,15,-1])cube([5,40,4]);
		translate([x*16-10,65,-1])cube([5,40,4]);
		}
	for (y=[0:9])
		{
		translate([-1,y*10+14,12]) cube([width+5,1,2]);
		}
	}
difference() {
	cube ([width+1,5,25]);
	if (numbers=="Yes")
		{
		for (c=[1:tubes])
			{
			translate([c*16-10,4,23]) rotate([90,180,180]) write(str(numstart+c-1),h=8, t=4);
			}
		}
	}
```
Stats_Pegs.scad:
```
use <write/Write.scad>;

//The target average of the set
ave=4.5;
//The target standard deviation of the set
std=1.5;
//Size of the matrix (columns and rows)
size=10;

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

for (x = [0:size-1])
{
	for (y = [0:size-1])
	{
	difference ()
		{
			translate([x*15,y*15,0]) cylinder (r=6.8,h=10,center=true);
			translate([x*15,y*15,5])rotate([0,0,n*35]) write(str(round(std*sqrt(-2*ln(rands(0,1,1)[0]))*cos(360*rands(0,1,1)[0])+ave)),h=8,t=3, center=true);

		}
	}
}
```


[User]
Okay, I'm trying to create a customizable pattern generator for 3D printing, and I've got a starting point, but I'd like to make it more robust and user-friendly.

My current design uses a hexagonal honeycomb pattern as a base, and it lets me adjust things like the length and width of the overall pattern, the thickness of the individual pattern elements, and the radius of the polygons. It also includes controls for the number of sides on the polygons (allowing triangles, squares, pentagons, etc. up to circles), the thickness of the polygon edges, and how much they overlap. There's even a rotation setting for the entire pattern and an experimental stretch function.

Here’s what I want to improve and what I need the AI assistant to do:

1.  **More Pattern Options:** I'd love to expand beyond the honeycomb. Could you create a system that allows me to select between different patterns? I’m thinking:
    *   **Honeycomb (Hexagonal):** Like my current design.
    *   **Square Grid:** Simple squares in a grid pattern.
    *   **Triangular Grid:** Triangles in a grid.
    *  **Circular Grid:** Circles arranged in a grid.
    * **Staggered Grid:** A square grid where each row is shifted over by half a spacing for a different look.
	 * **Voronoi**: A voronoi pattern with customizable cell density.
	 * **Brick**: A brick pattern, with adjustable row offset and spacing.

2.  **Pattern Element Options:**  Instead of always using a basic polygon, allow me to choose the shape of the elements themselves. This could include:
    *   **Polygon (n-sided):** As in my current design.
    *   **Circle:** Simple circular elements.
    *   **Rounded Rectangle:** Rectangles with rounded corners (controlled by a radius parameter).
    * **Plus Shape**: A plus shape defined by width, height, and thickness.
	* **Star Shape**: A star shape defined by inner and outer radius, and number of points.

3.  **Refine the Stretch:** The current stretch is a bit clunky. It just stretches along one axis. Could you provide options for stretching along X, Y, or even both axes independently? Also maybe add the option to stretch an object not by a static % but by a function, ex.  sin() or cos() to add a wave to the shape.

4.  **Offset Options:** The ability to offset the pattern in X and Y, so I can place it accurately on a design.

5.  **Variable Spacing:** I want to control the spacing between pattern elements using both a static spacing value, and a factor to increase the spacing in a smooth way across the Y axis.

6.  **Clearer Parameter Naming:**  Some of my parameter names are unclear (e.g. `overlap_factor`). Could you use more descriptive names (e.g., `polygon_overlap_percent`)

7.  **Cleaned Code**: My current implementation is a bit messy. Can you make sure to create well-commented and easy-to-read code?

8.  **Library Usage:** If necessary for more complicated math or functionality, please include libraries. I'm familiar with the core OpenSCAD language, but am open to leveraging libraries if they are well documented, but prefer to not use if the same can be achieved with core openscad code.

9.  **Optional Pattern Cutout:** This one is important; I want the option to cut out the entire pattern in the shape of a specified shape (e.g., circle, rectangle, polygon), so that the pattern only exists within that shape.

For the new pattern types, I’d like parameters to control spacing between elements, and element size. For the element shapes, I'd need parameters to adjust radii, sizes, roundness, or any relevant features of that shape.

To start, please don't assume I want to keep any of my current code; a brand-new approach is fine.  Please provide a complete, parametric OpenSCAD file in a single file.

[Assistant]
patterns.scad:
```

length=60; //[20:100]
width =50;  //[20:100]
pattern_thickness=3;//[3:10]

sides=4;//[3:Triangle (3-sided),4:Square (4-sided),5:Pentagon (5-sided),6:Hexagon (6-sided),7:Heptagon (7-sided),8:Octogon (8-sided),9:Nonagon (9-sided),10:Decagon (10-sided),11:Hendecagon (11-sided),12:Dodecagon (12-sided),30:Circle (3w0-sided)]
radius=6;//[2:25]
polygon_edge_thickness=2;//[1.0:10.0]
overlap_factor=10; //[0:100]
polygon_rotation=40;//[0:120]
stretch_off_on=0;//[0:OFF, 1:ON]
//% X stretch.
polygon_stretch=100;//[-20:100]

HONEYCOMB(width,length,9,radius,overlap_factor,polygon_edge_thickness,sides,polygon_stretch);

module HONEYCOMB(w,l,h,r,overlapFactor,polyEdge,sides,stretch,){
columns =l/(r*3)+1;
rows = w/(r*sqrt(3)/2*2)+3;

//translate([-w/1.3,l/1.8,pattern_thickness])
translate([-w,-l/2,pattern_thickness])

//rotate([0,0,-90])
	for(y = [1:rows-1]){
		translate([0,r*sqrt(3)/2*y*2,0])
		scale([pow(1+y/(21),0),1,1])
		for(x = [1:columns-1]){
			translate([r*x*3,0,0])
			for(i = [0:1]){
				translate([r*1.5*i,r*sqrt(3)/2*i,0])
				rotate([0,0,polygon_rotation])
				difference(){
					if(sides < 5){
						scale([1,pow((stretch+100)/100,stretch_off_on),1])
						cylinder(h=2*pattern_thickness, r = r+polyEdge+(r*overlapFactor/50), center = true, $fn = sides);
					} else {
						scale([1,pow((stretch+100)/100,stretch_off_on),1])
						cylinder(h=2*pattern_thickness, r = r+(r*overlapFactor/50), center = true, $fn = sides);
					}
					scale([1,pow((stretch+100)/100,stretch_off_on),1])
					cylinder(h=2.05*pattern_thickness, r = r-polyEdge+(r*overlapFactor/50), center = true, $fn = sides);
				}
			}
		}
	}
}
//derived from Customizable Necktie by Keenan, published	 Mar 2, 2013
//http://www.thingiverse.com/thing:56209

```


[User]
Okay, I need help creating a parametric OpenSCAD model for a knob, similar to one I've already made but with more flexibility. I'm looking to make something that's both easy to customize and robust.

Here's a breakdown of what I'm after, building on my existing design. I'll also describe the existing design first. The existing design has the following characteristics:
*   **Core Bolt Hole:** There's a central hole for a bolt, with a square recess to prevent rotation. This consists of a center cylinder, plus a cube intersecting a cylinder. This square recess is a cube intersecting the cylinder, and its size should be parameterized.
*   **Main Body:** The main body of the knob is cylindrical with a defined thickness. There is an optional wall thickness, so that you can have a solid cylinder, or a hollow cylinder.
*   **Grip Points:** The design incorporates three cylindrical grip points evenly spaced around the outer edge of the main body. These grip points are also cylinders, and should be configurable. There is also an optional wall thickness between the inner and outer cylinder for the main body, and for the knobs.
*   **Parameters:** The existing code uses variables like `thickness`, `outer_r` (outer radius), `knob_r` (grip point radius), `bolt_r` (bolt radius), `wall_thickness`, and `square_ratio`. These parameters are crucial and should be retained.

Here's what I'd like in the new, improved parametric model:

1.  **Number of Grips:** I want to be able to easily change the number of grip points. The current design has three, but I need to be able to make knobs with two, four, or even more, all while they remain evenly spaced around the main cylinder.
2.  **Grip Shape:** Instead of always being cylinders, I'd like to choose a different shape for the grip points. I was thinking we could have an option for them to be spheres, cubes, or toruses, in addition to the current cylinder option. The choice of shape should be parametric, and each shape should have parameters to modify that shape as well (i.e. cube width/depth/height, sphere radius, torus major and minor radius).
3.  **Bolt Hole Shape:** Similar to the grip points, I'd like to optionally control the bolt hole shape. Right now it's a cylinder with a square indent, but it would be good to have options to make it a regular polygon hole, or just a simple circle. We should be able to specify the number of sides for a polygon, and it should be an option whether we have the polygon at all.
4.  **Hole Depth:** the bolt hole should be a parameter for how far it goes into the overall knob. This should still not protrude from the outside of the knob, but should not have to go all the way through, or use a hard-coded length for the bolt hole.
5.  **Chamfering:** I'd like the option to add a chamfer to the top and bottom edges of the main cylinder, and possibly to the outer edges of the grip points. The chamfer angle and length should be parameterized.
6.  **Generalization:** I want to make it easier to scale and manipulate these shapes, and possibly be able to create entire new shapes using the overall parametric design.

I'd like the design to be in OpenSCAD, and use comments to make it easy to follow. We should be able to easily turn on or off each optional shape so that we can compare the output. I think I want to avoid using any particular libraries at this point, but if using a library like BOSL2 or NopSCADlib would really make things easier, I'm open to it. Let me know your thoughts and what a starting design could look like. I'm looking for code I can plug into OpenSCAD and immediately adjust the parameters.

[Assistant]
knob.scad:
```
thickness=10;
outer_r=20;
knob_r=15;
bolt_r=3.5;
wall_thickness=3;
square_ratio=1.5;

union(){
	difference(){
		cylinder(r=bolt_r+wall_thickness,h=thickness);
		intersection(){
			translate([0,0,wall_thickness])cylinder(r=bolt_r,h=thickness);
			translate([-square_ratio*.5*bolt_r,-bolt_r*2,wall_thickness])cube([square_ratio*bolt_r,bolt_r*4,thickness]);
		}
	}
	intersection(){
		difference(){
			union(){
				difference(){
					cylinder(r=outer_r,h=thickness);
					translate([0,0,wall_thickness])cylinder(r=outer_r-wall_thickness,h=thickness);
					}
				translate([(outer_r+bolt_r+wall_thickness)*sin(120),(outer_r+bolt_r+wall_thickness)*cos(120),0])cylinder(r=knob_r+wall_thickness,h=thickness);
				translate([(outer_r+bolt_r+wall_thickness)*sin(240),(outer_r+bolt_r+wall_thickness)*cos(240),0])cylinder(r=knob_r+wall_thickness,h=thickness);
				translate([(outer_r+bolt_r+wall_thickness)*sin(360),(outer_r+bolt_r+wall_thickness)*cos(360),0])cylinder(r=knob_r+wall_thickness,h=thickness);
			}

			translate([(outer_r+bolt_r+wall_thickness)*sin(120),(outer_r+bolt_r+wall_thickness)*cos(120),-wall_thickness])cylinder(r=knob_r,h=thickness+wall_thickness*2);
			translate([(outer_r+bolt_r+wall_thickness)*sin(240),(outer_r+bolt_r+wall_thickness)*cos(240),-wall_thickness])cylinder(r=knob_r,h=thickness+wall_thickness*2);
			translate([(outer_r+bolt_r+wall_thickness)*sin(360),(outer_r+bolt_r+wall_thickness)*cos(360),-wall_thickness])cylinder(r=knob_r,h=thickness+wall_thickness*2);
		}
	cylinder(r=outer_r,h=thickness);
	}
}
```


[User]
Okay, I need an OpenSCAD design for a customizable star, kind of like a Christmas tree topper. I want to be able to control the number of points on the star, the overall size, and how long the star points are compared to the main body of the star. I also want the option to include a ring at the base of the star, kind of like a base or a mount.

Specifically, I'm thinking of the following parameters:

*   **Number of Points:**  This will be a whole number, like 5 for a classic star, but I should be able to make it with, say, 4 or 8 or more if I want.
*   **Size:** This is the overall diameter of the star, measured in millimeters.
*   **Point-to-Body Ratio:** This controls how far the points extend out from the center of the star, relative to the 'body' or the radius of a circle that would encompass the base of the points. For example, a ratio of 2.0 means the star points extend twice as far as the radius of the 'body'.
*   **Ring Radius:** The radius of the ring to be used as a base, if this option is enabled.
*   **Ring Height:** The height of the ring, should be fairly small.

The star itself should be a 3D shape, not just a flat 2D star. I'd like it to have a slight thickness to it, basically an extrusion of the star shape.

For the logic of the design, I’d like:
* If the size of the star is less than 30mm then it should only generate a star without a ring.
* If the size is 30mm or more, it should generate a star with a ring at its base. The ring should have a thickness of 1mm and a radius of 5mm, located 1mm away from the base of the points.
* The star shape itself should use `polyhedron` to define the points and faces. This will allow for the points to be sharp and properly scaled to the body radius based on the `point_to_body_ratio`.

Can you create an OpenSCAD file that does all of this? I don't need any additional libraries for this design.

[Assistant]
parametricstar.scad:
```
number_of_points = 5; // [4:50]
// Diameter of the star in mm:
size = 100; // [10:500]
// How much longer than the body should the points of the star be?
point_to_body_ratio = 2.0; // [1.0:5.0]

module ring(radius, rHeight)
{
	linear_extrude(height = rHeight, center = true)
	{
		difference()
		{
			circle(radius, $fn=50);
			circle(radius-rHeight, $fn=50);
		}// preview[view:south, tilt:top]
	}
}

module star(bodyRadius, numberOfPoints, pointRadius, height)
{
	for (i = [0:numberOfPoints])
	{
		rotate(i*(360/numberOfPoints))
		{
			polyhedron ( points = [[0, 0, height/2], [0, 0, -height/2], [cos(360/numberOfPoints)*bodyRadius, sin(360/numberOfPoints)*bodyRadius, 0], [cos(360-360/numberOfPoints)*bodyRadius, sin(360-360/numberOfPoints)*bodyRadius, 0], [pointRadius, 0, 0]], triangles = [[3,0,4], [0,2,4], [2,1,4], [1,3,4], [0,3,1], [2,0,1],]);
		}
	}
}

module starWithRing(bodyRadius, numberOfPoints, pointRadius, height, ringRadius)
{
	union()
	{
		star(bodyRadius, numberOfPoints, pointRadius, height);
		translate([pointRadius + ringRadius - 1,0,0])
		{
			ring(ringRadius,1);
		}
	}
}

if (size < 30)
{
	star(size/(1.0 + point_to_body_ratio)/2, number_of_points, size/2, size/8);
}
else
{
	starWithRing(size/(1.0 + point_to_body_ratio)/2, number_of_points, size/2, size/8, 5);
}
```


[User]
Okay, I'm looking to design a customizable vase and I've got some ideas based on an existing design I saw. The original vase code uses a `rotate_extrude` to create the basic shape and allows for adjustments to the lower body radius, overall size, and neck thickness.

Here's what I want in my new version, building on the concepts from the example code:

1.  **Base Shape:** I want the vase to be based on a `rotate_extrude` just like the provided example, starting with a 2D profile that's then rotated around the Z axis.

2.  **Profile Control:** Instead of just using squares and circles, I'd like to define the vase's 2D profile using a series of control points, essentially creating a spline or polyline that's then used for the `rotate_extrude`. This allows for more varied, organic vase shapes.

3.  **Control Point Parameters:** I want to control the X and Y coordinates of each of those control points with parameters. For example, I might have parameters `control_point1_x`, `control_point1_y`, `control_point2_x`, `control_point2_y`, and so on, to control the vase profile. The Z will always be 0 and each new point's X and Y values should be relative to the previous point.

4.  **Base Radius:**  I'd still like to have a parameter like `base_radius` or `start_radius` that sets the starting diameter/radius where the vase begins at the bottom to more easily manipulate the bottom of the vase.

5.  **Top Radius/Opening:** Similarly, I want a parameter to set the top opening or radius, let's call it `top_radius`.

6.  **Vase Height:** I need a parameter called `vase_height` to control the overall height of the vase.

7.  **Wall Thickness:** I'd like to have a parameter `wall_thickness` that controls how thick the vase's walls are. The inside of the vase should be created by an offset of the main curve.

8.  **Number of Segments:** Allow a `segments` parameter for controlling the smoothness of the curved surfaces (more segments means more subdivisions in the 3D model).

9.  **Optional Taper:** Ideally, I would have a parameter `taper` which lets me set a general taper for the vase's vertical axis. `taper` of 0 would maintain a straight vertical axis while a `taper` of 0.2 would angle the shape's X values as it rises to the top. The taper should be relative to the base_radius.

So, to recap, the parameters I'm looking for are:

*   `control_point1_x`, `control_point1_y`, `control_point2_x`, `control_point2_y`, etc. (number of these will need to be customizable, so let's start with 3 for now)
*   `base_radius`
*   `top_radius`
*   `vase_height`
*   `wall_thickness`
*   `segments`
*   `taper`

I would like the code to be written in OpenSCAD, and I don't need to use any external libraries, just the built-in functions. Could you generate that code for me, please?

[Assistant]
pro5customizable.scad:
```
// preview[view:south, tilt:side]

/*
*
*	Creator: Meiying Cheung
*	MCP-lab: http://hci.rwth-aachen.de/mcp
*	It draws a Vase
*
*/

/* [Parameters] */
//it changes the radio of the lower part:
radio_body = 0;//[0:5]
//resize the hole figure but it may deform it:
resize = 10;//[5.1:18.1]
//it changes the thick of the Vase:
neck = 0;//[0:1]

/* [Hidden] */
union(){

	//handlers
	translate([0,0,15])rotate([90,0,0])rotate_extrude(convexity = 10)
	translate([resize, 0, 0])
	circle(r = 1);
	//

	//main body
	rotate_extrude(convexity = 10)
	union(){
		union()
		{
			difference()
			{
				difference()
				{
					square([resize,resize+resize*2]);
					translate([resize,resize*2,0])circle(r=resize*0.7-neck);
				}

				translate([5,5,0])
				circle(r=resize+radio_body);
			}
			intersection(){
			translate([5,5,0])
			circle(r=resize+radio_body);
			translate([0,-5,0])square([2*resize+radio_body,2*resize+radio_body]);
			}
		}

	}

}
```


[User]
Okay, I'm looking to create a customizable Christmas tree in OpenSCAD, similar to the one I found on Thingiverse but I want to make some specific modifications and make sure it's well-parameterized.

The basic design is a series of "twigs" or arms that are extruded and twisted upwards to form a conical tree shape. I want to be able to control the following:

*   **Number of Twigs:** This is simply the number of arms around the tree.
*   **Base Diameter:** The diameter of the tree at its base.
*   **Tree Height:** The overall height of the tree.
*   **Wall Thickness:** The thickness of each twig (it looks like this can also affect how pointy the twigs are).
*   **Twist Angle:** The overall angle of the twist of the twigs as they go up.
*   **Turning Direction:**  Whether the twist is clockwise or counter-clockwise.
*   **Hanger:** An option to add either no hanger, a simple hole at the top, or a ring at the top.
*  **Baseplate:** An option to add a base plate either as an extension of the bottom "twigs" or a full circle.

The original code uses a somewhat complex polygon shape for the twigs, and I want to retain that shape so the AI needs to maintain those polygon coordinates within the code.

I'd like the code to be clear and well-commented. I'm also hoping to use good practices with variables, perhaps using the `assign()` function to help make the code readable. I do not want the AI to use any external libraries like MCAD, BOSL, etc. I want only the built in functions within OpenSCAD to be used.

Essentially, I want a user-friendly customizer for a parametric Christmas tree, with all the options of the original code, and that does not require installation of external libraries. Can you generate this OpenSCAD code for me?

[Assistant]
Christmas_tree_customizer_2013-11-17.scad:
```
//Number of "twigs"
number=8; //[2:20]

//Tree diameter at base [mm]
base_diameter=40; //[20:200]

//Tree height [mm]
height=50;	//[10:200]

//Wall thickness
wall=0.5; //[0.25:thin (0.25 mm),0.5:standard (0.5 mm),1:thick (1 mm)]

//Twist angle [°] (>180 will be hard to print)
twist=90; //[0:360]

//Turning direction
direction=-1; //[-1:counterclockwise,1:clockwise]

//Add hanger
hanger=2; //[0:none,1:make hole in top,2:add ring on top]

baseplate=1; //[1:small,2:full circle]

difference () {
	tree(number=number,radius=base_diameter/2,height=height,wall=wall,twist=twist,dir=direction);

	if (hanger==1) {
		for (i=[0,90]) {
			translate ([0,0,height*0.94])
			rotate ([90,0,i])
			scale ([1,2,1])
			cylinder (r=radius*0.025,h=10,$fn=25,center=true);
		}
	}
}

if (hanger==2) {
	translate([0,0,height+2])
	rotate([90,0,0])
	scale([1,1,1])
	rotate_extrude(convexity = 10, $fn = 100)
	translate([3, 0, 0])
	circle(r = 1, $fn = 100);
}

module tree (number=6,radius=30,height=100,wall=0.5,twist=-90,direction=direction) {

points=[[wall*0.5,0],[wall*0.5,radius-1],[wall*0.4,radius-0.6],[wall*0.2,radius],[0,radius],[wall*-0.2,radius],[wall*-0.4,radius-0.6],[wall*-0.5,radius-1],[wall*-0.5,0]];

intersection () {

for (i=[1:number]) {
	rotate ([0,0,i*360/number])
	linear_extrude($fn=100,height = height,  convexity = 10, twist = twist*direction)
	polygon( points);
}
	cylinder (r1=radius,r2=2,h=height);
}

//Baseplate
	if (baseplate==1) {
		for (i=[1:number]) {
			rotate ([0,0,i*360/number])
			linear_extrude($fn=100,height = 0.5,  convexity = 10)
			scale ([5,1,1])
			polygon(points);
		}
	}

	if (baseplate==2) {
		cylinder (r=radius,height=0.5,$fn=100);
	}

}

```


[User]
Okay, I'd like to design a simple set of 3D printable kitchenware: a cup, a plate, and a spoon. I'm looking for an OpenSCAD design that allows me to easily modify the dimensions of each item.

Here's what I have in mind:

**Cup:**

*   The cup should be a basic cylindrical shape, hollow inside.
*   I need to be able to control the overall height of the cup, as well as the diameter.
*   The cup should have a handle that's attached to the side, also parametric for overall size.
*   The handle should smoothly curve away from the side of the cup. I should be able to control where the handle starts on the cup, it's shape and how far out it extends. I would like the cup and handle to have a smooth continuous curvature from cup to handle, rather than the current overlapping geometric approach.

**Plate:**

*   The plate should be a shallow cylinder, or disc, with a small lip.
*   I need to control the overall height (or thickness), diameter of the plate at the bottom of the lip, and diameter of the plate at the top of the lip. So, think of it like a truncated cone, but with a short height.

**Spoon:**

*   The spoon should have an oval-shaped bowl and a straight handle.
*   I need to control the length of the handle. I would also like to be able to set the depth of the bowl of the spoon.

**General Requirements:**

*   I'd prefer for the code to be well-commented so I can easily understand and modify the different parts.
*   I want to be able to easily change the overall size of each object using variables (like `$cup_height`, `$plate_diameter`, etc.)
*   I would like to use `BOSL2` if it is helpful to use any of the library's features, especially `hull` or other solid-construction methods that improve on the provided solution and can allow me to create organic curving shapes more easily. I do not want to use BOSL for trivial things but do use it if it makes construction easier and produces a better result.
*   I need all three objects to be in a single file. If possible, please do not have each object overlap the others.
*   I want all units to be in millimeters.

Can you provide me with an OpenSCAD file that accomplishes this?

[Assistant]
cup_plate_spoon.scad:
```
$fn = 200;
cup_height = 20; //[20:30]
plate_bottom = 15;//[5:15]
plate_top = 20;//[5:20]
spoon_handler_length = 15; //[10:50]
//=========================================//
//cup
//cup main part
module main()
{
	difference()
	{
	cylinder(cup_height,10,10);
	translate([0,0,3]) cylinder(cup_height-3,9,9);
	linear_extrude(height=0.5)
	translate([0,0,19])circle(9);
	}
}

//cup handler
module handler()
{
	difference()
	{
		translate([0,30,10]) rotate(a=[0,90,0])circle(8.5);
		translate([0,28,10]) rotate(a=[0,90,0])circle(8);
		translate([0,28.5,15.5]) rotate(a=[0,90,0])circle(4);
		translate([0,28.5,4.5]) rotate(a=[0,90,0])circle(4);

	}
}
module cup()
{
	union()
	{
	main();
	translate([0,-22.5,0]) handler();
	}
}
cup();
//=========================================//

//spoon
module half_spoon()
{
	difference()
	{
	translate([-30,0,10])sphere(10);
	translate([-30,0,20.5])sphere(20);
	}
	}
	scale([0.7,1.1]) half_spoon();
	rotate(a=[-4,0,0])translate([-22,2.8,0.55]) cube([2,spoon_handler_length,0.3]);

//=========================================//
//plate
difference()
{
	translate([30,0,0])cylinder(2,plate_bottom,plate_top);
	translate([30,0,0.8])cylinder(2,plate_bottom,plate_top);
}
```


[User]
Okay, I'm looking for an OpenSCAD design for a customizable box with a lid, and I need it to be parametric so I can easily adjust the dimensions and number of holes.

Here's what I have in mind:

**Basic Box Structure:**

*   The box should have rounded corners.
*   It needs to have a lid that fits snugly, also with rounded corners.
*   The interior dimensions (width, height, and depth) of the box should be adjustable using parameters.
*   The thickness of the top and bottom walls of the box should also be parameterized (they don't necessarily have to be the same).
*   The radius of the rounded corners should be a user-defined parameter as well.

**Hole Pattern:**

*   One face of the box (the front, I guess) will have a grid of circular holes for panel-mount jacks (like those used for audio or power).
*   The number of holes in the X (width) direction and Z (height) direction should be configurable parameters.
*   The holes should be evenly spaced and centered on that face based on the box dimensions and the number of holes.
*   There needs to be two parameters for each hole, one for the radius of the jack (the actual hole to be cut) and one for the diameter of the jack outer face (to figure out spacing). The outer diameter will be bigger than the cut, such that the jack will not fall through.
*   The holes should cut through the face of the box, and must take into account the corner rounding.

**Lid:**

*   The lid should sit on top of the box.
*   The lid should be slightly bigger than the outer box and have rounded corners with the same radius as the main box.
*   The top of the lid needs to be flush with the top of the box (not overhanging).
*   There needs to be some sort of alignment mechanism (a notch and a tab) to keep the lid aligned correctly to the box.

**Parameters:**

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

*   `p_width`: Interior width of the box.
*   `p_height`: Interior height of the box.
*   `p_depth`: Interior depth of the box.
*   `p_round`: Radius of the rounded corners.
*   `p_wall_top`: Thickness of the top and bottom walls of the box.
*   `p_hole_r_small`: Radius of the holes for the jacks.
*   `p_hole_r_large`: Outside radius of the jacks (used for spacing)
*    `p_num_holes_x`: Number of holes across the width.
*   `p_num_holes_z`: Number of holes across the height.

**Requirements**

*   The design must use the `minkowski()` function for the rounded box.

I think that's everything. Can you generate an OpenSCAD file based on these requirements?

[Assistant]
Resistor_Boxv2.scad:
```
//resistor box
//purpose: make a box with rounded corners and variable number of holes on one face
//and add a lid.
//all holes are identical

$fn = 50;
//CUSTOMIZER VARIABLES
//box width (interior)
p_width = 50; //

//box height (interior)
p_height = 34; //

//box depth (interior)
p_depth = 30; //

//corner rounding radius
p_round = 4;

//top and bottom wall thickness
p_wall_top = 4;

//panel cutout for jack (radius)
p_hole_r_small = 3.2;

//outside size of jack (radius)
p_hole_r_large = 4.25;

//number of holes across width
p_num_holes_x = 4;

//number of holes across height
p_num_holes_z = 2;
//CUSTOMIZER VARIABLES END

p_wall = .1; //inside wall (will be added to p_round for total wall)
null = 1; //unit used to ensure intersections

//find inter-hole spacing
space_x = ((p_width - (2 * p_hole_r_large * p_num_holes_x)) / (p_num_holes_x + 1)) + 2 * p_hole_r_large;
space_z = ((p_height - (2 * p_hole_r_large * p_num_holes_z)) / (p_num_holes_z + 1))+ 2 * p_hole_r_large;

//make the box
difference()
{
	difference()
	{
		minkowski() //make a rounded box
		{
		cylinder(r = p_round , h = null);
		cube([p_width  , p_depth, p_height ]);
		}

		translate([p_wall , p_wall , p_wall_top]) //hollow the rounded box
		cube([p_width - 2 * p_wall , p_depth - 2 * p_wall, p_height - 2 * p_wall]);
	}

	for (z = [1 : 1: p_num_holes_z] ) //drill holes
	{
		for (x = [1 : 1: p_num_holes_x] )
		{
		translate( [(x * space_x) - ( p_hole_r_large), - p_round - null ,( z * space_z ) - (p_hole_r_large)])
		rotate([-90 , 0 , 0])
		cylinder( r = p_hole_r_small , p_round + p_wall + 2 * null);
		}
	}
	//cut the top off
	translate([-p_width , -p_depth , p_height - p_wall_top])
	cube(p_width * 100 , p_depth * 100 , p_height * 100);

	//notch the top
	translate([ (p_width / 2) - 0.5 * p_wall_top , -p_round , p_height - 2.0 * p_wall_top])
	cube([p_wall_top , p_depth + p_round + p_round ,  p_wall_top]);
}

union()
{
	//add top placed at zero height and out of the way
	translate([0 , -p_depth -2 * p_round - 3 * null, 0])
	minkowski() //make a rounded box
		{
		cylinder(r = p_round , h = null);
		cube([p_width  , p_depth, p_wall_top ]);
		}
	//add alignment beam
	translate([ (p_width / 2) - 0.5 * p_wall_top , -p_depth -2 * p_round - 3 * null - p_round, p_wall_top])
	cube([p_wall_top , p_depth + p_round + p_round ,  p_wall_top]);
}

```


[User]
Okay, I'm looking to generate some polyhedra, specifically an icosahedron, a dodecahedron, and a cube, that I can snap together. I'd like a parametric OpenSCAD file that lets me control several aspects of the design. I was initially looking at the file called `polyhedra-generator.scad`, but I'd like to see if we can create something similar that is more flexible.

Here are the features I'm looking for:

**Core Functionality:**

*   **Polyhedron Selection:**  The script should allow me to choose which of the three polyhedra to generate: icosahedron, dodecahedron, or cube.
*   **Circumscribed Sphere Radius:** I need to be able to specify the radius of the sphere that touches all the vertices of the polyhedron. This will control the overall size.
*   **Print Type:** I need options for different printing scenarios:
    *   "fullplate":  Generate everything (hubs and rods) on a single build plate.
    *   "minimal": Generate only one hub and one set of edges
    *   "rodsonly":  Generate only the rods/edges, no hubs.
    *   "hubsonly":  Generate only the hubs, no rods.
*   **Hub Reduction:** Options to reduce the size and print time for hubs:
    *   "none": No size reduction.
    *   "cheese": Remove "cheese wedge" shaped chunks from the hubs.

**Parameters for Rods/Edges:**

*   **Rod Thickness:** Control the thickness of the rods.
*   **Rod Spacing:** Control the spacing between the rows of rods when laying out on the print bed.
*   **Chord Length:** The length of the rod based on the circumscribed sphere radius. This should be calculated internally based on the polyhedron chosen.

**Parameters for Hubs:**

*   **Receiver Thickness:** Control the thickness of the hub receiver (the part the rod plugs into).
*   **Receiver Depth:** Control the depth of the rod receiver.
*   **Receiver Leg Length:** The effective length of the receiver "leg", including where it meets the main hub body.
*  **Receiver Hole Factor:** Apply a factor to the size of receiver holes for a tighter or looser fit.
*   **Hub Spacing:** How much space between the hubs on the print bed.
* **Hub offset:** Ability to specify X offsets from 0 to position hubs on the print bed.
* **Hub row offset:** Ability to specify Y offsets from the rod field on the print bed.
    * There may be multiple rows for each polyhedron, so it would need an array of these.
*   **Pipe Support:** (Optional, but would be very useful!)
    *   **Pipe Outside Diameter:** Allow specifying the outside diameter for a "pipehub" print type where I can use standard PVC pipe as edges. This should control the size of the hub.
    *   **Pipe Interconnect Style:** Allow options for how the pipes interconnect in the hubs ("none", "cross", "vee", "ycross").
    *   **Pipe Blind Count:** Allow a certain number of pipe openings to be left blind for a partial polyhedron.

**Layout:**
*   **Breakoff Stringers** Add thin bars linking the edges to the edge of the print bed for support and easy removal.

**Optional features:**

*   **Bed Size Guide:** A way to display a rectangle representing a print bed size. It would be nice to be able to turn this off for printing.

**Key Considerations:**

*   **Parametric Design:** The design should be completely parametric, allowing me to easily tweak parameters and regenerate the model.
*   **Calculation of Chord Length:** The script needs to correctly calculate the chord (edge) length based on the chosen polyhedron and the circumscribed sphere radius. I want this to be done automatically, I do not want to enter this value.
*   **Staggered Hub Rows:**  The original SCAD file used staggered rows of hubs to maximize the space on the print bed. It would be good to retain this.

**Libraries:**
I don't need any special libraries for this.

I believe that's all. Let me know if you need any clarification or additional information.

[Assistant]
polyhedra-generator.scad:
```
// papergeek's entry for the 2013 MakerBot Academy Math Manipulative Challenge
// Tags: #MakerBotAcademyMath #Customizer
// Revision: 20-November-2013
//		Added tubular hub option (pipehub) for larger structures

// Show bed size guide. Turn this off for printing - it is meant for guidance on the maximum rod length
show_bed_size_guide = 0; //[0,6,8] Bed size in inches

// Type of polyhedron
polyhedron_type = "dodecahedron"; //[icosahedron,dodecahedron,cube]

// Radius of circumscribed sphere in millimeters (the sphere touching all vertices). Maximum for icosahedron on 6 inch bed: 120; on 8 inch: 190; for full plate dodecahedron: 97; for full plate cube: 100
circumscribed_sphere_radius = 97;

// Type of print - for smaller print beds you may want to separately print rods and hubs. pipehub is for use with PVC pipe
print_type = "fullplate"; //[minimal,fullplate,rodsonly,hubsonly]

// Speed up print time by reducing hub size (taking "cheese wedge" shaped chunks out of them)
hub_reduction = "cheese"; //[none,cheese]

//[Pipe]
// PVC pipe size in mm. US standard Schedule 40 PVC pipe sizes have a standard outside diameter. Thicker walled pipe is recommended for construction. 3/4" I.D. pipe is actually about 7/8" inside if thin-walled, closer to 3/4" for the thicker pipe rated for higher pressure (200psi). It's the outside that fits in plumbing connectors and that's all we care about.
pipe_outside_diameter = 27;

// Interconnection of pipes in the hub allows water to be run through them. Why? I dunno but it seems like a cool idea...
pipe_interconnect_style = "none"; //[none,cross,vee,ycross]

// Number of pipes to leave blind in hub. This is typically used for bottom edge hubs on (for example) a 2/3 icosahedron
pipe_blind_count = 0;

//[Advanced]
// Rod thickness in mm
rod_thickness = 2.8;
// Hub receiver thickness in mm. This indirectly determines the size of the hub hemisphere
receiver_thickness = 6.0;
// Hub receiver socket depth in mm
receiver_depth = 6;
// Hub receiver leg effective total length in mm
receiver_leg_length = 12;
// Hole factor - apply to size of receiver holes
receiver_hole_factor = 1.14;

if (polyhedron_type == "icosahedron") do_icosahedron();
else if (polyhedron_type == "cube") do_cube();
else if (polyhedron_type == "dodecahedron") do_dodecahedron();
do_bed_guide();

module do_dodecahedron()
{
  chord_ratio = 1 / 1.401258538; // Radius is edge length * (1 + sqrt(5)) * sqrt(3) / 4
  chord_length = circumscribed_sphere_radius * chord_ratio;
  edge_count = 30;
  vertex_count = 20;
  face_count = 12;
  dihedral_angle = 116.56505; // acos(-1/sqrt(5))
  echo("Dodecahedron; radius=", circumscribed_sphere_radius, " edge length=", chord_length, " edge count=", edge_count, " vertex_count=", vertex_count, " face count=", face_count );
  rod_spacing = 1.4;
  hub_ybase = (edge_count / 2 + 1) * rod_thickness * rod_spacing + (rod_spacing - 1) * rod_thickness;
  hub_width = (print_type == "rodsonly") ? 0 : 64;
  hub_spacing = 25.15;
  // Make these X offsets different for staggered rows
  hub_offset1 = 13.5;
  hub_offset2 = 26.075;
  hub_offset3 = 13.5;
  hub_offset4 = 26.075;
  // Y offset from rod field for each row
  hub_row1_offset = 7;
  hub_row2_offset = 29;
  hub_row3_offset = 50;
  hub_row4_offset = 71;
  hub_length = 6 * hub_spacing + hub_offset1;
  breakoff_length = rod_thickness * rod_spacing * (edge_count / 2 - 1) + rod_thickness;
  // Rods are normally grouped on either side of hubs
  // to allow maximum length. The greater number of dodeca
  // hubs does not allow this to fit on a single plate,
  // so we can handle a special case where length <= 70
  rod_xoffset1 = (chord_length <= 70) ? 1 : (hub_length - chord_length) / 2;
  rod_xoffset2 = (chord_length <= 70) ? (1 + chord_length + 3) : (hub_length - chord_length) / 2;
  rod_yoffset1 = 0;
  rod_yoffset2 = (chord_length <= 70) ? 0 : (hub_ybase + hub_width);
  if (print_type != "hubsonly" && print_type != "pipehub") for ( i = [0 : (edge_count / 2 - 1)] )
  {
    if (i == 0 || (print_type != "minimal"))
    {
	 make_chord( chord_length, rod_yoffset1 + i * rod_thickness * rod_spacing, rod_xoffset1, 0 );
	 make_chord( chord_length, rod_yoffset2 + i * rod_thickness * rod_spacing, rod_xoffset2, 0 );
	 }
  }
  // Generate hubs in staggered rows
  if (print_type != "rodsonly") for (i = [0 : 4])
  {
	if (i == 0 || (print_type != "minimal" && print_type != "pipehub"))
	{
	 translate([hub_offset1+i*hub_spacing,hub_ybase+hub_row1_offset,0]) draw_dodeca_hub(chord_length);
	 if (print_type!="minimal" && print_type != "pipehub")
	 {
		translate([hub_offset2+i*hub_spacing,hub_ybase+hub_row2_offset,0]) draw_dodeca_hub(chord_length);
		translate([hub_offset3+i*hub_spacing,hub_ybase+hub_row3_offset,0]) draw_dodeca_hub(chord_length);
		translate([hub_offset4+i*hub_spacing,hub_ybase+hub_row4_offset,0]) draw_dodeca_hub(chord_length);
	 }
	}
  }
  //for (i = [0 : 5]) translate([39,-55 + i*24,0]) draw_icosa_hub();
  if (print_type == "fullplate" || print_type == "rodsonly")
  {
  translate([rod_xoffset1 + receiver_depth,rod_yoffset1,0]) cube(size=[0.3,breakoff_length,0.2], center=false);
  translate([rod_xoffset1 + chord_length - 0.3 - receiver_depth,rod_yoffset1,0]) cube(size=[0.3,breakoff_length,0.2], center=false);
  translate([rod_xoffset2 + receiver_depth,rod_yoffset2,0]) cube([0.3,breakoff_length,0.2]);
  translate([rod_xoffset2 + chord_length - 0.3 - receiver_depth,rod_yoffset2,0]) cube(size=[0.3,breakoff_length,0.2], center=false);
  }

}

module do_icosahedron()
{
  chord_ratio = 1 / 0.9510565163; // Radius is edge length * sin(2*pi/5)
  chord_length = circumscribed_sphere_radius * chord_ratio;
  edge_count = 30;
  vertex_count = 12;
  face_count = 20;
  dihedral_angle = 138.189685;
  echo("Icosahedron; radius=", circumscribed_sphere_radius, " edge length=", chord_length, " edge count=", edge_count, " vertex_count=", vertex_count, " face count=", face_count );
  rod_spacing = 1.22;
  hub_ybase = (edge_count / 2 + 1) * rod_thickness * rod_spacing + (rod_spacing - 1) * rod_thickness;
  hub_width = (print_type == "rodsonly") ? 0 : 46;
  hub_spacing = 25.15;
  // Make these X offsets different for staggered rows
  hub_offset1 = 13.5;
  hub_offset2 = 13.5;
  // Y offset from rod field for each row
  hub_row1_offset = 8;
  hub_row2_offset = 32;
  hub_length = 6 * hub_spacing + hub_offset1;
  breakoff_length = rod_thickness * rod_spacing * (edge_count / 2 - 1) + rod_thickness;
  rod_offset = max(1, (hub_length - chord_length) / 2);
  if (print_type != "hubsonly" && print_type != "pipehub") for ( i = [0 : (edge_count / 2 - 1)] )
  {
    if (i == 0 || print_type != "minimal")
    {
	 make_chord( chord_length, i * rod_thickness * rod_spacing, rod_offset, 0 );
	 make_chord( chord_length, hub_ybase + hub_width + i * rod_thickness * rod_spacing, rod_offset, 0 );
	 }
  }
  // Generate hubs in staggered rows
  if (print_type != "rodsonly") for (i = [0 : 5])
  {
	if (i == 0 || print_type != "minimal")
	{
	 translate([hub_offset1+i*hub_spacing,hub_ybase+hub_row1_offset,0]) draw_icosa_hub(chord_length);
	 if (print_type!="minimal") translate([hub_offset2+i*hub_spacing,hub_ybase+hub_row2_offset,0]) draw_icosa_hub(chord_length);
	}
  }
  //for (i = [0 : 5]) translate([39,-55 + i*24,0]) draw_icosa_hub();
  if (print_type == "fullplate" || print_type == "rodsonly")
  {
  translate([rod_offset + receiver_depth,0,0]) cube(size=[0.3,breakoff_length,0.2], center=false);
  translate([rod_offset + chord_length - 0.3 - receiver_depth,0,0]) cube(size=[0.3,breakoff_length,0.2], center=false);
  translate([rod_offset + receiver_depth,hub_ybase+hub_width,0]) cube([0.3,breakoff_length,0.2]);
  translate([rod_offset + chord_length - 0.3 - receiver_depth,hub_ybase+hub_width,0]) cube(size=[0.3,breakoff_length,0.2], center=false);
  }
}

module do_cube()
{
  chord_ratio = 1 / 0.86602540378443864676372317075294; // Radius of circumscribed sphere is (sqrt(3)/2 * edge length)
  chord_length = circumscribed_sphere_radius * chord_ratio;
  edge_count = 12;
  vertex_count = 8;
  face_count = 6;
  dihedral_angle = 90.0;
  hub_spacing = 25;
  hub_row1_offset = 6;
  hub_row2_offset = 30;
  echo("Cube; radius=", circumscribed_sphere_radius, " edge length=", chord_length, " edge count=", edge_count, " vertex_count=", vertex_count, " face count=", face_count );
  hub_ybase = (edge_count / 2 + 1) * rod_thickness * 3 / 2 + rod_thickness / 2;
  hub_width = (print_type == "rodsonly") ? 0 : 44;
  breakoff_length = rod_thickness * 3/2 * 5 + rod_thickness;
  if (print_type != "hubsonly" && print_type != "pipehub") for ( i = [0 : (edge_count / 2 - 1)] )
  {
    if (i == 0 || print_type != "minimal")
    {
		make_chord( chord_length, i * rod_thickness * 3 / 2, 1, 0 );
		make_chord( chord_length, hub_ybase + hub_width + i * rod_thickness * 3 / 2, 1, 0 );
	 }
  }
  if (print_type != "rodsonly") for ( i = [0 : 3] )
  {
	if (i == 0 || print_type != "minimal")
	{
		translate([14+i*hub_spacing,hub_ybase+hub_row1_offset,0]) draw_cube_hub(chord_length);
		if (print_type != "minimal") translate([17+i*hub_spacing,hub_ybase+hub_row2_offset,0]) draw_cube_hub(chord_length);
	}
  }
  // Add breakoff stringers at hub penetration depth
  if (print_type == "fullplate" || print_type == "rodsonly")
  {
  translate([1 + receiver_depth,0,0]) cube(size=[0.3,breakoff_length,0.2], center=false);
  translate([1 + chord_length - 0.3 - receiver_depth,0,0]) cube(size=[0.3,breakoff_length,0.2], center=false);
  translate([1 + receiver_depth,hub_ybase+hub_width,0]) cube([0.3,breakoff_length,0.2]);
  translate([1 + chord_length - 0.3 - receiver_depth,hub_ybase+hub_width,0]) cube(size=[0.3,breakoff_length,0.2], center=false);
  }
  // Debugging
  //translate([-40,0,0]) draw_hub_receiver_leg( 0 );
}

// Construct a chord of specified length and end-coding
module make_chord( length, yoffset, xoffset, endcoding )
{
  if (endcoding == 0) draw_0_chord( length, yoffset, xoffset );
  else if (endcoding == 1) draw_1_chord( length, yoffset, xoffset );
}

// Construct chord with 0 coding
module draw_0_chord( length, yoffset, xoffset )
{
  translate([xoffset,yoffset,0]) cube(size = [length, rod_thickness, rod_thickness], center = false );
}

// Construct chord with 1 encoding
module draw_1_chord( length, yoffset, xoffset )
{
}

// Draw cube hub
module draw_cube_hub(chord_length)
{
	// We are basically taking a corner and rotating each leg
	// outward by the angle between each leg and the ray which is equidistant
	// from all legs.
	// 1. The hub is the apex of a pyramid whose top edges
	//    (the ones that join at the vertex) are equal
	//		to our chord length (an edge of the polyhedron)
	//	2. If we look at a top view (2d projection) of
	//		the pyramid, the angle between top edges is
	//		360 / (number of legs joining at this vertex).
	projected_angle = 360 / 3;
	//	3. We'll call the inner angle of a face alpha.
	//		This gets harder when they're not all the same.
	gamma = 90.0;
	// 4.	Using the SAS rule, we have enough to calculate
	//		a base edge of our pyramid (we'll calculate half
	//		by dividing into two right triangles)
	base_edge = 2 * chord_length * sin(gamma/2);
	// 5. Projecting the apex and top edges onto the base plane, we'll
	//		calculate the length of one of the top edge projections using ASA
	//		for the base equilateral triangle
	base_incenter = 180 - /* 2 * 60 / 2 */ 60;
	top_edge_projection_length = (base_edge / 2) / sin(base_incenter/2);
	// 6.	Finally, get the angle from the perpendicular to the base incenter to one of the top edges
	top_edge_angle = asin(top_edge_projection_length / chord_length);
	sphere_radius = (print_type == "pipehub") ? pipe_outside_diameter * 2 : receiver_thickness * 2.0;
	//echo("Base edge=", base_edge, " top edge angle=", top_edge_angle);
  translate([0,0,receiver_thickness * 0.4]) rotate([180,0,0]) union()
  {
	// The hemisphere base needs to provide a flat solid
	// base for printing the hub, and also provides support for the angled legs. In solids with higher vertex counts,
	// the legs will begin to approach 90 degrees from perpendicular to the bed.
   translate([0,0,receiver_thickness * 0.4]) difference()
   {
	  union()
	  {
			difference()
			{
				// Coefficient should be enough to eliminate overhang
				sphere( r = sphere_radius, center = true );
				// Make sure sphere does not fill inside of receiver legs
			   rotate( a = [top_edge_angle,0,0 * projected_angle] ) draw_hub_receiver_leg( -1 );
   			rotate( a = [top_edge_angle,0,1 * projected_angle] ) draw_hub_receiver_leg( -1 );
   			rotate( a = [top_edge_angle,0,2 * projected_angle] ) draw_hub_receiver_leg( -1 );
			}
		   rotate( a = [top_edge_angle,0,0 * projected_angle] ) draw_hub_receiver_leg( 0 );
   		rotate( a = [top_edge_angle,0,1 * projected_angle] ) draw_hub_receiver_leg( 0 );
   		rotate( a = [top_edge_angle,0,2 * projected_angle] ) draw_hub_receiver_leg( 0 );
	  }
	  // Cutoff needs to eliminate maximum coefficient
	  translate( [0,0,receiver_thickness*3] ) cube( size = receiver_thickness * 6, center = true );
		// Carve some cheese wedges out of the wheel
		// to reduce print time.
	  if (hub_reduction == "cheese") translate( [0,0,-2 * sphere_radius] ) union() {
		rotate( a = [0,0,0.5 * projected_angle] ) translate([0,sphere_radius*0.4,0]) cheese_wedge( 2 * sphere_radius, projected_angle * 0.65, sphere_radius * 0.4 );
		rotate( a = [0,0,1.5 * projected_angle] ) translate([0,sphere_radius*0.4,0]) cheese_wedge( 2 * sphere_radius, projected_angle * 0.65, sphere_radius * 0.4 );
		rotate( a = [0,0,2.5 * projected_angle] ) translate([0,sphere_radius*0.4,0]) cheese_wedge( 2 * sphere_radius, projected_angle * 0.65, sphere_radius * 0.4 );
	  }
   }
  }
}

// Draw icosahedron hub
module draw_icosa_hub(chord_length)
{
  // Central angle is 2 * asin(chord * 0.5 / R)
  //					 	 2 * asin(R * chord_factor * 0.5 / R)
  //						 2 * asin(chord_factor * 0.5)
  //						 56.787500870592539769243472357818 degrees
  c_angle = 56.787500870592539769243472357818;
  ca_complement = 90.0 - c_angle;
	// We are basically taking a corner and rotating each leg
	// outward by the angle between each leg and the ray which is equidistant
	// from all legs.
	// 1. The hub is the apex of a pentakis pyramid whose top edges
	//    (the ones that join at the vertex) and bottom edges
	//		are equal to our chord length (an edge of the polyhedron)
	//	2. If we look at a top view (2d projection) of
	//		the pyramid, the angle between top edges is
	//		360 / (number of legs joining at this vertex).
	projected_angle = 360 / 5;
	//	3. We'll call the inner angle of a face gamma.
	//		This gets harder when they're not all the same.
	gamma = 60.0;
	// 4.	Since the icosahedron has triangular faces, we
	//		already know the length of a base edge of our
	//		five-sided pyramid
	base_edge = chord_length;
	// 5. Projecting the apex and top edges onto the base plane, we'll
	//		calculate the length of one of the top edge projections
	//		(forming the side of a single triangle) using ASA
	base_incenter = 360 / 5;
	top_edge_projection_length = (base_edge / 2) / sin(base_incenter/2);
	// 6.	Finally, get the angle from the perpendicular to the base incenter to one of the top edges
	top_edge_angle = asin(top_edge_projection_length / chord_length);
	sphere_radius = (print_type == "pipehub") ? pipe_outside_diameter * 2 : receiver_thickness * 2.0;
	//echo("Top edge projection=", top_edge_projection_length, " top edge angle=", top_edge_angle);
  rotate([180,0,0]) difference()
  {
	  union()
	  {
		difference()
		{
			// Sphere should be large enough to eliminate overhang
			// below bottom edge of receiver legs
			sphere( r = sphere_radius, center = true );
			// Make sure sphere does not intrude into receiver slots
			for (i = [0 : 4])
			{
			   rotate( a = [top_edge_angle,0,i * projected_angle] ) draw_hub_receiver_leg( -1 );
			}
		} // difference - sphere minus receivers
		for (i = [0 : 4])
		{
		   rotate( a = [top_edge_angle,0,i * projected_angle] ) draw_hub_receiver_leg( 0 );
		}
	  } // union - sphere plus receiver legs
	  translate( [0,0,receiver_thickness*3] ) cube( size = receiver_thickness * 6, center = true );
		// Carve some cheese wedges out of the wheel
		// to reduce print time.
	  if (hub_reduction == "cheese") translate( [0,0,-2 * sphere_radius] ) union() {
		rotate( a = [0,0,0.5 * projected_angle] ) translate([0,sphere_radius*0.4,0]) cheese_wedge( 2 * sphere_radius, projected_angle * 0.65, sphere_radius * 0.4 );
		rotate( a = [0,0,1.5 * projected_angle] ) translate([0,sphere_radius*0.4,0]) cheese_wedge( 2 * sphere_radius, projected_angle * 0.65, sphere_radius * 0.4 );
		rotate( a = [0,0,2.5 * projected_angle] ) translate([0,sphere_radius*0.4,0]) cheese_wedge( 2 * sphere_radius, projected_angle * 0.65, sphere_radius * 0.4 );
		rotate( a = [0,0,3.5 * projected_angle] ) translate([0,sphere_radius*0.4,0]) cheese_wedge( 2 * sphere_radius, projected_angle * 0.65, sphere_radius * 0.4 );
		rotate( a = [0,0,4.5 * projected_angle] ) translate([0,sphere_radius*0.4,0]) cheese_wedge( 2 * sphere_radius, projected_angle * 0.65, sphere_radius * 0.4 );
	  }
   } // difference - hub unit with bottom chopped off
}

// Draw dodecahedron hub
module draw_dodeca_hub(chord_length)
{
	// We are basically taking a corner and rotating each leg
	// outward by the angle between each leg and the ray which is equidistant
	// from all legs.
	// 1. The hub is the apex of a pyramid whose top edges
	//    (the ones that join at the vertex) are equal
	//		to our chord length (an edge of the polyhedron)
	//	2. If we look at a top view (2d projection) of
	//		the pyramid, the angle between top edges is
	//		360 / (number of legs joining at this vertex).
	projected_angle = 360 / 3;
	//	3. We'll call the inner angle of a face gamma.
	//		This gets harder when they're not all the same.
	gamma = 72.0;
	// 4.	Using the SAS rule, we have enough to calculate
	//		a base edge of our pyramid (we'll calculate half
	//		by dividing into two right triangles)
	base_edge = 2 * chord_length * sin(gamma/2);
	// 5. Projecting the apex and top edges onto the base plane, we'll
	//		calculate the length of one of the top edge projections using ASA
	//		for the base triangle
	base_incenter = 120;
	top_edge_projection_length = (base_edge / 2) / sin(base_incenter/2);
	// 6.	Finally, get the angle from the perpendicular to the base incenter to one of the top edges
	top_edge_angle = asin(top_edge_projection_length / chord_length);
	sphere_radius = (print_type == "pipehub") ? pipe_outside_diameter * 2 : receiver_thickness * 2.0;
	leg_factor = (print_type == "pipehub") ? pipe_outside_diameter * 0.4 : receiver_thickness * 0.4;
	cutoff_translation = (print_type == "pipehub") ? pipe_outside_diameter * 3 : receiver_thickness * 3;
	cutoff_size = cutoff_translation * 2;
	//echo("Base edge=", base_edge, " top edge angle=", top_edge_angle);
  translate([0,0,leg_factor]) rotate([180,0,0]) union()
  {
	// The hemisphere base needs to provide a flat solid
	// base for printing the hub, and also provides support for the angled legs. In solids with higher vertex counts,
	// the legs will begin to approach 90 degrees from perpendicular to the bed.
   translate([0,0,leg_factor]) difference()
   {
	  union()
	  {
			difference()
			{
				// Coefficient should be enough to eliminate overhang
				sphere( r = sphere_radius, center = true );
				// Make sure sphere does not fill inside of receiver legs
			   rotate( a = [top_edge_angle,0,0 * projected_angle] ) draw_hub_receiver_leg( -1 );
   			rotate( a = [top_edge_angle,0,1 * projected_angle] ) draw_hub_receiver_leg( -1 );
   			rotate( a = [top_edge_angle,0,2 * projected_angle] ) draw_hub_receiver_leg( -1 );
			}
		   rotate( a = [top_edge_angle,0,0 * projected_angle] ) draw_hub_receiver_leg( 0 );
   		rotate( a = [top_edge_angle,0,1 * projected_angle] ) draw_hub_receiver_leg( 0 );
   		rotate( a = [top_edge_angle,0,2 * projected_angle] ) draw_hub_receiver_leg( 0 );
	  }
	  // Cutoff needs to eliminate maximum coefficient
	  translate( [0,0,cutoff_translation] ) cube( size = cutoff_size, center = true );
		// Carve some cheese wedges out of the wheel
		// to reduce print time.
	  if (hub_reduction == "cheese") translate( [0,0,-2 * sphere_radius] ) union() {
		rotate( a = [0,0,0.5 * projected_angle] ) translate([0,sphere_radius*0.4,0]) cheese_wedge( 2 * sphere_radius, projected_angle * 0.75, sphere_radius * 0.4 );
		rotate( a = [0,0,1.5 * projected_angle] ) translate([0,sphere_radius*0.4,0]) cheese_wedge( 2 * sphere_radius, projected_angle * 0.75, sphere_radius * 0.4 );
		rotate( a = [0,0,2.5 * projected_angle] ) translate([0,sphere_radius*0.4,0]) cheese_wedge( 2 * sphere_radius, projected_angle * 0.75, sphere_radius * 0.4 );
	  }
   } // difference which gets rotated and translated
		// Debug
		//	cheese_wedge( 4 * sphere_radius, projected_angle, sphere_radius * 1.1 );
  }
}

// Draw a single hub receiver leg
module draw_hub_receiver_leg( encoding )
{
  // Make top centered at 0,0,0 pointing down
  translate([0,0,-receiver_leg_length/2]) difference()
  {
    cube( size = [receiver_thickness, receiver_thickness, receiver_leg_length], center = true );
	 if (encoding == 0)
	 {
		translate([0,0,receiver_depth - receiver_leg_length]) cube( size = [rod_thickness * receiver_hole_factor, rod_thickness * receiver_hole_factor, receiver_leg_length], center = true );
	 } // Square hole
	 // else may be no hole (-1)
  }
}

module do_bed_guide()
{
  if (show_bed_size_guide != 0) draw_bed_guide( show_bed_size_guide * 25.4 );
}

module draw_bed_guide( width )
{
  translate([-0.025*width,-0.025*width,0]) difference()
  {
	cube( size = [width*1.05, width*1.05, 1], center = false );
   translate([width*0.025,width*0.025,0]) cube( size = [width, width, 1], center = false );
  }
  // Leave a 0.05mm gap so we can verify clearance
  translate([0,0,-1.05]) cube( size = [width, width, 1], center  = false );
}

// Make a "cheese wedge" with point and base at 0,0,0
// to carve out nonessential chunks from a hub
module cheese_wedge( wedge_height, angle, inner_radius )
{
  leg = wedge_height * 1.3;
  p1x = 2 * leg * sin(angle/2);
  p1y = leg * cos(angle/2);
  p2x = -p1x;
  p2y = p1y;
  //echo("Wedge x1=", p1x, " y1=", p1y, " x2=", p2x, " y2=", p2y, " height=", wedge_height);
  // polygon assumes right-handed winding order
  // i.e. make a fist using your right hand with thumb pointing up. Your thumb
  // is the Z axis and the winding needs to go in the
  // direction your fingers curl around (counterclockwise).
  // paths vector is not required
	difference()
	{
		linear_extrude( height = wedge_height, center = false ) polygon( points = [ [0,0], [p1x,p1y], [p2x,p2y] ], convexity = 2 );
		cylinder( r = inner_radius, h = wedge_height, center = false );
	}
}

```


[User]
Okay, I'm looking to design a customizable bottle opener using OpenSCAD. I've got some basic parameters in mind that I'd like to be able to adjust.

Essentially, the bottle opener has a rectangular body with a circular cut-out on either end, with a neck that extends upwards from the middle of the top edge, and then a grip at the very end of the neck that sticks out perpendicular to the body.

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

**Overall Dimensions:**

*   **`width`**: The total width of the rectangular body of the opener (horizontal dimension). I expect this will affect the position of the circular cutouts and the neck. I'd like to be able to set this to between 30 and 50 units.
*   **`openingHeight`**: The height of the opening area (the vertical dimension of the rectangle between the two circular cutouts). I expect this will affect the position of the neck. I'd like to set this between 5 and 30 units.
*   **`frameWidth`**: The width of the "frame" or material thickness around the perimeter and cut-outs of the opener. I expect this will affect the size of the cut-outs and thickness of the frame between the cut-outs. I'd like to be able to set this between 3 and 10 units.
*   **`thickness`**: The overall thickness of the main body of the opener. This will be the z-axis extrusion. I'd like to set this between 2 and 10 units.

**Neck Dimensions:**

*   **`neckHeight`**: The height of the neck that extends upwards from the body. I'd like to set this between 15 and 30 units.
*   **`neckWidth`**: The width of the neck where it joins the main body. I'd like to set this between 5 and 15 units.

**Pin Cavities:**

There are three small semi-circular cavities that cut into the neck where it meets the body. Two are positioned on the sides and a third in the middle.
*   **`smallPinCircle`**: The radius of the two small pin cavities on the sides. I expect this will affect the size of the semicircle cutout. This one shouldn't have any minimum or maximum bounds, but around 2.5 might be a good starting point.
*   **`smallPinLoc`**: This value controls the 'squish' of the two side pin cavities along the vertical. I expect this will alter the vertical position, and depth of the semi-circle. The lower this number, the deeper the cut.  I expect this will require adjustments as the other dimensions are changed, but a starting value of 3 is okay.
*   **`bigPinCircle`**: The radius of the larger central pin cavity.  Again, this shouldn't have any minimum or maximum bounds, but around 5 might be a good starting point.
*   **`bigPinLoc`**: Similar to `smallPinLoc`, this value controls the vertical depth of the central pin cavity. A starting value of 1.5 is probably fine.

**Grip:**

*   **`gripWidth`**: The radius of the cylindrical grip at the top of the neck. I'd like to set this between 5 and 15 units.
*   **`gripLength`**: The length of the grip (the height of the cylinder). I'd like to set this between 40 and 150 units.

**Specific Shapes:**
I'd like the base of the opener to have a rectangular shape with the two rounded-off edges on the side that would be the top and bottom, and to have circular cutouts at either side of the opening.
I'd like the neck to be an upward facing trapezoid. I expect that the 3 circular cavities should be included in the top of this trapezoid where it joins with the main body.
Finally, I expect the grip should be a cylindrical shape.

I think that covers all of the core features I want.  I'd like the code to be clear, easy to read and well-commented, making it easy for me to modify later. I don't need any special libraries for this design. Could you provide me with a parametric OpenSCAD file to achieve this?

[Assistant]
Customizable_bottle_opener.scad:
```
// Set the total width of the bottle opener
width = 40; //[30:50]
// Set the height of the opening
openingHeight = 15; //[5:30]
// Set the width of the openers frame
frameWidth = 5; //[3:10]
// Set the thickness of the frame of the opener
thickness = 2; //[2:10]
// Set the height of the neck of the opener
neckHeight = 20; //[15:30]
// Set the width of the neck of the opener
neckWidth = 10; //[5:15]
// Set the radius of the small cavity
smallPinCircle = 2.5; //
// Set the height of the small cavity
smallPinLoc = 3; //
// Set the radius of the big cavity
bigPinCircle = 5; //
// Set the height of the big cavity
bigPinLoc = 1.5; //
// Set the radius of the grip
gripWidth = 7.5; // [5:15]
// Set the length of the grip
gripLength = 70; // [40:150]

/* [hidden] */

$fn = 50;

union()
{
	linear_extrude(height = thickness)
	union()
	{
		intersection()
		{
			difference()
			{
				translate([frameWidth*2,frameWidth*2,0])circle(frameWidth*2);
				translate([frameWidth*2,frameWidth*2,0])circle(frameWidth);
			}
			polygon(points = [ [0,0], [0, frameWidth*2], [frameWidth*2,frameWidth*2], [frameWidth*2,frameWidth], [frameWidth*2,0] ], paths = [[0,1,2,3,4]] );
		}
		polygon(points = [ [0,frameWidth*2], [frameWidth,frameWidth*2], [frameWidth*2,openingHeight+(frameWidth)], [frameWidth,openingHeight+(frameWidth)] ], paths = [[0,1,2,3]] );
		polygon(points = [ [frameWidth*2,0], [width-(frameWidth*2),0], [width-(frameWidth*2),frameWidth], [frameWidth*2,frameWidth] ], paths = [[0,1,2,3]] );
		intersection()
		{
			difference()
			{
				translate([width-frameWidth*2,frameWidth*2,0])circle(frameWidth*2);
				translate([width-frameWidth*2,frameWidth*2,0])circle(frameWidth);
			}
			polygon(points = [ [width,0], [width, frameWidth*2], [width-frameWidth*2,frameWidth*2], [width-frameWidth*2,frameWidth], [width-frameWidth*2,0] ], paths = [[0,1,2,3,4]] );
		}
		polygon(points = [ [width,frameWidth*2], [width-frameWidth,frameWidth*2], [width-frameWidth*2,openingHeight+(frameWidth)], [width-frameWidth,openingHeight+(frameWidth)] ], paths = [[0,1,2,3]] );
		difference()
		{
			polygon(points = [ [frameWidth,openingHeight+frameWidth], [width-frameWidth,openingHeight+frameWidth], [width/2+neckWidth/2,openingHeight+frameWidth+neckHeight], [width/2-neckWidth/2,openingHeight+frameWidth+neckHeight] ], paths = [[0,1,2,3]] );
			intersection()
			{
				translate([frameWidth*2+smallPinCircle,openingHeight+frameWidth-smallPinCircle/3,0])circle(smallPinCircle);
				polygon(points = [ [frameWidth,openingHeight+frameWidth], [width-frameWidth,openingHeight+frameWidth], [width/2+neckWidth/2,openingHeight+frameWidth+neckHeight], [width/2-neckWidth/2,openingHeight+frameWidth+neckHeight] ], paths = [[0,1,2,3]] );
			}
			intersection()
			{
				translate([width-frameWidth*2-smallPinCircle,openingHeight+frameWidth-smallPinCircle/smallPinLoc,0])circle(smallPinCircle);
				polygon(points = [ [frameWidth,openingHeight+frameWidth], [width-frameWidth,openingHeight+frameWidth], [width/2+neckWidth/2,openingHeight+frameWidth+neckHeight], [width/2-neckWidth/2,openingHeight+frameWidth+neckHeight] ], paths = [[0,1,2,3]] );
			}
			intersection()
			{
				translate([width/2,openingHeight+frameWidth-bigPinCircle/bigPinLoc,0])circle(bigPinCircle);
				polygon(points = [ [frameWidth,openingHeight+frameWidth], [width-frameWidth,openingHeight+frameWidth], [width/2+neckWidth/2,openingHeight+frameWidth+neckHeight], [width/2-neckWidth/2,openingHeight+frameWidth+neckHeight] ], paths = [[0,1,2,3]] );
			}
		}
	}
	translate([width/2,openingHeight+frameWidth+neckHeight,thickness/2])rotate(a=-90, v=[1,0,0])cylinder(h = gripLength, r = gripWidth);
}
```


[User]
Okay, I'd like to create a tool for generating blocks for math manipulatives, similar to what I saw in the provided SCAD file, but with some added flexibility.

Essentially, I want to be able to generate a grid of cubes, where each cube can be individually sized, and the spacing between the cubes can be adjusted, and the grid's overall dimensions can be modified. I also want to optionally be able to create an inset, hollowed cube within the grid. The original SCAD file used customizer, and that should be included here as well.

Here are the specific features I'm looking for:

*   **Individual Cube Size:** I need a variable to control the side length of each individual cube. Let's call this `cube_size` and make it a customizable parameter.
*   **Grid Dimensions:** I need three separate variables to control the number of cubes along the X, Y, and Z axes. Let's call these `x_count`, `y_count`, and `z_count`. These should also be customizable.
*   **Spacing:** I need a variable to control the spacing between the cubes. This should be a value added to each cube's dimension and applied in x, y, and z. Let's call this `spacing`.
*   **Inset Option:** I would like a boolean toggle to turn the inner inset cube on and off. Let's call it `inset_enabled` and it defaults to `false`. If enabled, I need a variable that controls the inset amount from each side. Let's call this `inset_amount` which should be separate from the spacing, since they are not linked here. I would like to use this to create an "inner cube" that has the same number of cubes, less two from each side, with a hollowed center.
*   **Customizer Integration:** All of these parameters should be exposed through OpenSCAD's customizer so that I can tweak them without editing the code directly.
*   **No Libraries:** Please create this using only OpenSCAD built-in functions; I don't want to rely on external libraries for this basic functionality.

So, to summarize, I am requesting an OpenSCAD file that defines a parametric grid of cubes with adjustable size, count, and spacing along each axis, and an optional inset cube with an adjustable inset amount, all controllable via the Customizer.

[Assistant]
inset_var.scad:
```
//Cube Generator with Inset
//created 2013-11-18
//collaboration between Jonathan Schmid (@schmidjon and Michael Frey (@ChickenCutlass)

//variables, whole numbers only

// Cube Size
cube_size = 2; //[0, 1, 2, 3]
// Number of Cubes in X Axis (whole numbers only)
x_var = 3;
// Number of Cubes in Y Axis (whole numbers only)
y_var= 3;
// Number of Cubes in z Axis (whole numbers only)
z = 3;
// Inset amount
inset = .1; //[.1,.2,.3,.4,.5,.6,.7]

// create inner cube with insets on all sides
translate([inset,inset,inset]){
cube([x_var+(inset*(x_var-1))-(inset*2),y_var+(inset*(y_var-1))-(inset*2),z+(inset*(z-1))-(inset*2)]);
}

//create grid of cubes

for ( z = [0:z-1]) {
	for ( x = [0:y_var-1]) {
		for ( i = [0:x_var-1]) {
			translate([i*(1+inset),x*(1+inset),z*(1+inset)]) {
				cube([cube_size]);
			}
		}
	}
}

```


[User]
Okay, I need help designing a customizable bowl and base for 3D printing, kind of like the one I found here: `MCPBowl.scad`. I'd like to be able to adjust the bowl's overall width, height, and thickness, as well as the width, height and thickness of the base. I'd prefer a parametric design in OpenSCAD so I can easily adjust those dimensions.

Specifically, I want to be able to specify:

*   **`bowlWidth`**: The overall width of the bowl.
*   **`bowlHeight`**: The overall height of the bowl.
*   **`bowlThickness`**: The thickness of the bowl's material.
*   **`footWidth`**: The width of the base. It would be helpful if this could default to `bowlWidth/2`.
*   **`footHeight`**: The height of the base. It would be helpful if this could default to `bowlHeight/2`.
*   **`footThickness`**: The thickness of the base. It would be helpful if this could default to `bowlThickness/2`.

I want the bowl to have a curved, hollowed out interior, basically like a sphere that's been cut in half and the solid parts subtracted to leave only the shell of a hemisphere. The base should be a solid cube (or rectangular prism), centered under the bowl. I'd like the base to fit snugly under the bowl when it is constructed using the default values mentioned above, but the two pieces should be separate such that I can print them separately.

I'm new to OpenSCAD so I would appreciate the simplest solution. I'm not using any libraries at the moment. Thanks!

[Assistant]
MCPBowl.scad:
```
// Bowl Width
bowlWidth = 300; // [50:500]
// Bowl Height
bowlHeight= 600; // [50:500]
// Bowl Thickness
bowlThickness = 100; // [50:500]

footWidth = bowlWidth/2;
footHeight = bowlHeight/2;
footThickness = bowlThickness/2;

//module createBowl() {
	difference() {
		resize(newsize=[bowlWidth, bowlHeight, bowlThickness]) sphere(r=10);
		translate([0,0,5]) resize(newsize=[bowlWidth, bowlHeight, bowlThickness]) sphere(r=10);
	}
//}

//module createFoot() {
	difference() {
		translate([-footWidth/2, -footHeight/2, -3/2*footThickness]) cube([footWidth, footHeight, footThickness]);
		resize(newsize=[bowlWidth, bowlHeight, bowlThickness]) sphere(r=10);
	}
//}

//createBowl();
//createFoot();
```


[User]
Okay, I'm trying to design a model rocket nose cone, and I really like the basic shape of the one I found on Thingiverse by lpaelke (thing:26370). I've modified it slightly, and it looks like this:

```
// Model rocket nose cone by Lutz Paelke (lpaelke)
//Customizing AirDuino - MiDuino
// CC BY-NC-SA 3.0

//change fill% of print to alter weight

//inside radius of rocket tube in mm (should be >= 7)
radius_in=9; //[7:10]
//ouside radius of rocket tube/nose cone(should be > radius_in)
radius_out=10; //[7:15]
//length of nose cone
length=50;	//[30:100]
taper=0.125;

union(){
	difference() {
		cylinder(h=15, r1=radius_in-taper, r2=radius_in,$fn=60); //cylindre du bas
		translate ([-6,-2,0]) cube(size = [12,4,4]); // cube d'ouverture du bas
		translate ([0,2,4]) rotate ([90,0,0]) cylinder(h=4,r=6,$fn=60); //cercle d'ouverture au dessus du cube
	}
	translate([0,2,2]) rotate([90,0,0]) cylinder(h=4,r=2,$fn=60); //cylindre à l'intérieur du cube
	translate ([0,0,15]) scale([1,1,length/radius_out]) difference() {
		sphere(r=radius_out,$fn=60);
		translate ([0,0,-radius_out/2]) cube(size=[2*radius_out,2*radius_out,radius_out],center=true);
	}
}
```

I'd like to make this more easily customizable through parameters, especially on Thingiverse's customizer.

Specifically, I need:

*   **`radius_in`:** The inner radius of the base of the nose cone, which should match the inner radius of the rocket tube. This needs to be adjustable, probably within a range of 7-10 mm, but I'd prefer to not have it locked to just these exact values.
*   **`radius_out`:** The outer radius of the base of the nose cone. This also needs to be adjustable and should always be larger than `radius_in`.  A good range would be 7-15 mm, but not locked to that.
*  **`length`:** The length of the nose cone, from the base to the tip.  A good range for this would be 30-100 mm.
*   **`taper`:**  This controls the difference in the radius at the very bottom of the nose cone and the inner part that fits into the tube. Right now it's just a constant, I would like it to remain a constant, but be adjustable.  I'd suggest a range of 0 to 2, and a default value of 0.125
*   The base of the cone needs to have a short cylinder for fitting into the rocket body. There's also this 'cube opening' and small cylinder inside that, which I'd like to keep.
* The tip of the cone is a sphere, and the design scales that sphere based on the length/radius.  I want to keep that scaling behavior.

Could you create a new OpenSCAD file for me that has these parameters and generates the nose cone shape, keeping the basic design features?  I'm not using any external libraries right now, so that should not be required.  I would also prefer to have clear comments in the generated code to make it easy to understand.  I am not familiar with OpenSCAD, so the comments would be very helpful.

[Assistant]
nose_cone_jeremie.scad:
```
// Model rocket nose cone by Lutz Paelke (lpaelke)
//Customizing AirDuino - MiDuino
// CC BY-NC-SA 3.0

//change fill% of print to alter weight

//inside radius of rocket tube in mm (should be >= 7)
radius_in=9; //[7:10]
//ouside radius of rocket tube/nose cone(should be > radius_in)
radius_out=10; //[7:15]
//length of nose cone
length=50;	//[30:100]
taper=0.125;

union(){
	difference() {
		cylinder(h=15, r1=radius_in-taper, r2=radius_in,$fn=60); //cylindre du bas
		translate ([-6,-2,0]) cube(size = [12,4,4]); // cube d'ouverture du bas
		translate ([0,2,4]) rotate ([90,0,0]) cylinder(h=4,r=6,$fn=60); //cercle d'ouverture au dessus du cube
	}
	translate([0,2,2]) rotate([90,0,0]) cylinder(h=4,r=2,$fn=60); //cylindre à l'intérieur du cube
	translate ([0,0,15]) scale([1,1,length/radius_out]) difference() {
		sphere(r=radius_out,$fn=60);
		translate ([0,0,-radius_out/2]) cube(size=[2*radius_out,2*radius_out,radius_out],center=true);
	}
}

```


[User]
Okay, I'm looking to design a lasercut box for a switchable outlet strip, and I'd like to do it parametrically in OpenSCAD. I've tried doing this myself but it's proving a bit complex, so I'd like your help!

Essentially, I want to create a box with cutouts for power plugs on the back, power switches on the front, and labels above each switch. The overall design should be based on a modular approach where the box dimensions adjust based on the number of power sockets I want to include.

Here's a breakdown of what I need:

**General Requirements:**

*   **Parametric Design:** The box dimensions (width) and the number of components (plugs, switches, labels) should be adjustable using parameters.
*   **Laser Cuttable:** The design must be suitable for laser cutting using a flat-pack construction with tenon/mortise joints for assembly.
*   **Material Thickness:** The material thickness should be a parameter, so I can easily adjust for different materials.
*   **Text Labels:**  I'd like to include text labels above each switch, and the font and text size should be customizable.
*   **3D Preview:** It would be useful to have a 3D preview mode to verify the design before exporting to DXF.
*   **DXF Export:** I need a way to generate two DXF files: one for cutting the box outline and joints, and another for engraving text labels and other markings.

**Specific Design Parameters:**

*   **`sockets`:** A string parameter that defines the type and number of sockets (e.g., "EOOO" for one power entry and three outlets, "SSPP" for two schuko and two euro plugs). Different letters correspond to different plug types:
    *   'P' for euro plug
    *   'S' for schuko plug
    *   'O' for power outlet (like Farnell 2080447)
    *   'E' for power entry (like Farnell 9521631)
*   **`id00` - `id19`:** String parameters for the text labels above the switches (e.g., "COMPUTER", "MONITOR"). Up to 20 labels should be possible, with unused labels being empty strings.
*   **`t`:** Material thickness (in cm).
*   **`d`:** Depth of the box (in cm).
*   **`baseWidth`:** The base width of a single outlet unit.
*   **`baseHeight`:** The base height of a single outlet unit.
*   **`useFont`:** The font to use for labels using a `write` library; I would like to specify the path to the font's DXF file.
*   **`fontSize`:** The size of the font (in cm).
*   **`view`:** An integer to switch between different view modes:
    *   `0`: 3D View (separated parts for laser cutting preview).
    *   `1`: 2D View (all parts on a single plane for laser cutting)
    *   `2`: DXF export for engraving.
    *   `3`: DXF export for cutting
    *   `4`: 3D view of the assembled box for 3D printing.
*   **`displayOffset`:**  Distance between separated parts in 3D view.

**Components:**

*   **Sockets:** The design should have modules for each socket type (euro, schuko, outlet, and entry), defining the correct dimensions for cutouts in the back panel.
*   **Switches:** Simple rectangular cutouts for the power switches.
*   **Text Labels:** Use the `write` library to render text above the switch cutouts.
*   **Tenon/Mortise Joints:** Use tenon/mortise style joints for the box assembly. The size and number of tenons should adapt to the overall dimensions of each side/panel and are parameterized by `f`, the ratio between thickness and tenonsize.
*   **Edge detail**: Include small circles/cuts in the corners of each part for better edge details.
*   **Borders:** Should be added as an additional cut.

**Libraries:**

*   I will be using the `write.scad` library for the text labels. Please assume this file will be in a subdirectory called `write` relative to the main file (e.g. `include <write/Write.scad>`).

**Output:**

The output should be a single `.scad` file that generates the different box parts based on the parameters described above. This file will then be used to generate the necessary DXF files for laser cutting and engraving.

I'd like the code to be well-structured and commented so I can understand how it works and potentially modify it later.

Thank you!

[Assistant]
SwitchableOutletStrip_V2.scad:
```
/*
OpenSCAD-File for lasercutting a switch-power-supply-box for energy savings (especially if it burns the house down or i electrucute myself - both may consume lots of power in the short run but will result in huuuuuge savings on the long run.... so don't build it, electricity is dangerous :-)

Uses write.scad
https://www.thingiverse.com/thing:16193

and a scrolly thing from the Soft Ornaments Three font (couldn't use that :-(
http://www.dafont.com/soft-ornaments-three.font

19 Nov 2013 jth
*/

include <write/Write.scad> //customizer
//use <write.scad> //if you have your own write.scad...

/* [Layout] */
//Plug-String: Use letters for each type of plug: P euro plug, S schuko plug (both from my leftover box :-) O power outlet like: Farnell 2080447, E power entry  like: Farnell 9521631, so e.g. EOOO for one power entry and three outlets
sockets = "EOOO";

//Identifier for the plugs
id00 = "POWER";
id01 = "MONITOR";
id02 = "COMPUTER";
id03 = "RECEIVER";
id04 = "";
id05 = "";
id06 = "";
id07 = "";
id08 = "";
id09 = "";
id10 = "";
id11 = "";
id12 = "";
id13 = "";
id14 = "";
id15 = "";
id16 = "";
id17 = "";
id18 = "";
id19 = "";

/* [Parameter] */
//Material thickness [cm]
t = 0.4;

//Depth of the box (width depents on number of plugs, height fixed) [cm]
d = 10;

// Which font to use
useFont = "write/knewave.dxf"; //[write/blackrose.dxf:BlackRose,write/braille.dxf:Braille,write/knewave.dxf:Knewave,write/letters.dxf:Letters,write/orbitron.dxf:Orbitron]

//The size of the font [cm]
fontSize = 0.95;

/* [Output/View] */
//Different views
view = 0; // [0:3D View Lasercutter, 1:2D View Lasercutter, 2: DXF-Export Engrave, 3: DXF-Export Form, 4:3D Printer]
//Distance between segments in 3D View Lasercutter [cm]
displayOffset = 0.4;

/* [Hidden] */

names = [id00, id01, id02, id03, id04, id05, id06, id07, id08, id09, id10, id11, id12, id13, id14, id15, id16, id17, id18, id19];

//baseHeight = 5.7*1;
baseHeight = 5.7*1;
baseWidth  = 5.7*1;

number = len(sockets);

borderOffset = 3*t;

w = ceil(baseWidth*number+2*t);
h = 7*1; //ceil(baseHeight+2*t);

//helper values

f = 3*1; // ratio between thickness and tenonsize
// determine number and size of tenons
numberW = ((floor(w/(t*f))%2)==1) ? floor(w/(t*f)) : floor(w/(t*f))-1;
tenonW = w/numberW;
numberH = ((floor(h/(t*f))%2)==1) ? floor(h/(t*f)) : floor(h/(t*f))-1;
tenonH = h/numberH;
numberD = ((floor(d/(t*f))%2)==1) ? floor(d/(t*f)) : floor(d/(t*f))-1;
tenonD = d/numberD;

// components

module switch () {
	cube([1.2, 1.8, 2*t], center = true);
}

module socket_schuko () {
	cylinder(r=2.1, h=2*t, center = true, $fs = 0.5);
	rotate ([0,0,45]) translate([2.9,0,0]) cylinder(r=0.33, h=2*t, center = true, $fs = 0.1);
	rotate ([0,0,225]) translate([2.9,0,0]) cylinder(r=0.33, h=2*t, center = true, $fs = 0.1);
}

module socket_euro () {
	cube([2, 2.4, 2*t], center = true);
	translate([0,1.2,0]) rotate ([0,0,45]) cube([1.414, 1.414, 2*t], center = true);
	translate([0,-1.2,0]) rotate ([0,0,45]) cube([1.414, 1.414, 2*t], center = true);
	translate([0.7,2.1,0]) cylinder(r=0.33, h=2*t, center = true, $fs = 0.1);
	translate([-0.7,-2.1,0]) cylinder(r=0.33, h=2*t, center = true, $fs = 0.1);
}

// MULTICOMP - JR-101 - EINGANG,IEC
// Farnell: 9521631
module socket_entry () {
	cube([2, 2.77, 2*t], center = true);
	translate([0,2,0]) cylinder(r=0.33, h=2*t, center = true, $fs = 0.1);
	translate([0,-2,0]) cylinder(r=0.33, h=2*t, center = true, $fs = 0.1);
}

// SCHURTER - 6600.3100 - OUTLET, IEC, F, 6600, 10A
// Farnell: 2080447
module socket_outlet () {
	cube([2.48, 3.25, 2*t], center = true);
	translate([0,2,0]) cylinder(r=0.33, h=2*t, center = true, $fs = 0.1);
	translate([0,-2,0]) cylinder(r=0.33, h=2*t, center = true, $fs = 0.1);
}

// box

module edge() {
		for(i=[0:15]) {
			rotate([0,0,90/15*i])
			translate([2*t,0,0])
			cube([0.1,0.1,t], center = true);
		}
}

module border(bWidth, bHeight) {
	translate([ (bWidth-t)/2,  (bHeight-t)/2, 0]) rotate([0,0,180]) edge();
	translate([ (bWidth-t)/2, -(bHeight-t)/2, 0]) rotate([0,0, 90]) edge();
	translate([-(bWidth-t)/2,  (bHeight-t)/2, 0]) rotate([0,0,270]) edge();
	translate([-(bWidth-t)/2, -(bHeight-t)/2, 0]) rotate([0,0,  0]) edge();

	translate([0, (bHeight-t)/2,0]) cube([bWidth-t*5, 0.1, t], center = true);
	translate([0,-(bHeight-t)/2,0]) cube([bWidth-t*5, 0.1, t], center = true);
	translate([  (bWidth-t)/2,0,0]) cube([0.1, bHeight-t*5, t], center = true);
	translate([ -(bWidth-t)/2,0,0]) cube([0.1, bHeight-t*5, t], center = true);
}

module top() {
	difference() {
		cube([w, d, t], center = true);
		group() {
			if (view !=4) {
				for (i = [0 : ((numberW-1)/2)-1]) {
					translate([(i*2-(numberW-1)/2+1)*tenonW, d/2, 0])
					cube([tenonW, t*2, t*2], center = true);
					translate([(i*2-(numberW-1)/2+1)*tenonW, -d/2, 0])
					cube([tenonW, t*2, t*2], center = true);
				}
				for (i = [0 : ((numberD-1)/2)-1]) {
					translate([w/2, (i*2-(numberD-1)/2+1)*tenonD, 0])
					cube([t*2, tenonD, t*2], center = true);
					translate([-w/2, (i*2-(numberD-1)/2+1)*tenonD, 0])
					cube([t*2, tenonD, t*2], center = true);
				}
			}
			translate([0,0,t/2]) border(w-borderOffset,d-borderOffset);
		}
	}
}

module bottom() {
	difference() {
		cube([w-t, d-t, t], center = true);
		group() {
			for (i = [0 : number-2]) {
				translate([-baseWidth*(number-1)/2+i*baseWidth+baseWidth/2,0,0])
				cylinder(r1=0.2, r2=0.2+1.1*t, h=1.1*t, center = true, $fs = 0.2);
			}
			translate([0,0,t/2]) border(w-borderOffset,d-borderOffset);
		}
	}
}

module panel() {
	difference() {
		cube([w, h, t], center = true);
		group() {
			if (view !=4) {
				for (i = [0 : ((numberW-1)/2)]) {
					translate([(i*2-(numberW-1)/2)*tenonW, h/2, 0])
					cube([tenonW, t*2, t*2], center = true);
					translate([(i*2-(numberW-1)/2)*tenonW, -h/2, 0])
					cube([tenonW, t*2, t*2], center = true);
				}
				for (i = [0 : ((numberH-1)/2)]) {
					translate([w/2, (i*2-(numberH-1)/2)*tenonH, 0])
					cube([t*2, tenonH, t*2], center = true);
					translate([-w/2, (i*2-(numberH-1)/2)*tenonH, 0])
					cube([t*2, tenonH, t*2], center = true);
				}
			} else {
				translate([0, h/2, -t/2]) cube([w-t, 2*t, t], center = true);
				translate([0, -h/2, -t/2]) cube([w-t, 2*t, t], center = true);
				//translate([w/2, 0, -t/2]) cube([2*t, h-t, t], center = true);
				//translate([-w/2, 0, -t/2]) cube([2*t, h-t, t], center = true);
			}
			translate([0,0,t/2]) border(w-borderOffset,h-borderOffset);
		}
	}
}

module front() {
	difference() {
		panel();
		group() {
			for (i = [0 : number-1]) {
				translate([-baseWidth*(number-1)/2+i*baseWidth,baseHeight/6,0])
				switch();
			}
			for (i = [0 : number-1]) {
				translate([-baseWidth*(number-1)/2+i*baseWidth,-baseHeight/6,t/2])
				write(names[i],t=t,h=fontSize,center=true, font=useFont);
			}
		}
	}

}

module back() {
	difference() {
		panel();
		group() {
			for (i = [0 : number-1]) {
				if (sockets[i] == "P") {
					translate([-baseWidth*(len(sockets)-1)/2+i*baseWidth,0,0]) socket_euro();
				} else if (sockets[i] == "S") {
					translate([-baseWidth*(len(sockets)-1)/2+i*baseWidth,0,0]) socket_schuko();
				} else if (sockets[i] == "E") {
					translate([-baseWidth*(len(sockets)-1)/2+i*baseWidth,0,0]) socket_entry();
				} else if (sockets[i] == "O") {
					translate([-baseWidth*(len(sockets)-1)/2+i*baseWidth,0,0]) socket_outlet();
				} else {
					echo("Unknown plug form");
				}
			}
		}
	}
}

module side() {
	difference() {
		cube([h, d, t], center = true);
		group() {
			if (view !=4) {
				for (i = [0 : (((numberH-1)/2)-1)]) {
					translate([(i*2-(numberH-1)/2+1)*tenonH, d/2, 0])
					cube([tenonH, t*2, t*2], center = true);
					translate([(i*2-(numberH-1)/2+1)*tenonH, -d/2, 0])
					cube([tenonH, t*2, t*2], center = true);
				}
				for (i = [0 : ((numberD-1)/2)]) {
					translate([h/2, (i*2-(numberD-1)/2)*tenonD, 0])
					cube([t*2, tenonD, t*2], center = true);
					translate([-h/2, (i*2-(numberD-1)/2)*tenonD, 0])
					cube([t*2, tenonD, t*2], center = true);
				}
			} else {
				//translate([0, d/2, -t/2]) cube([h-t, 2*t, t], center = true);
				//translate([0, -d/2, -t/2]) cube([h-t, 2*t, t], center = true);
				translate([h/2, 0, -t/2]) cube([2*t, d-t, t], center = true);
				translate([-h/2, 0, -t/2]) cube([2*t, d-t, t], center = true);
			}
			translate([0,0,t/2]) border(h-borderOffset,d-borderOffset);
		}
	}
}

//draw

module view3D(offset) {
	translate([0, 0, (h-t+displayOffset)/2]) top();
	rotate([180, 0, 0]) translate([0, 0, (h-t+displayOffset)/2]) top();
	rotate([90, 0, 0]) translate([0, 0, (d-t+displayOffset)/2])front();
	rotate([270, 0, 0]) translate([0, 0, (d-t+displayOffset)/2])back();
	rotate([0, 90, 0]) translate([0, 0, (w-t+displayOffset)/2])side();
	rotate([0, 270, 0]) translate([0, 0, (w-t+displayOffset)/2])side();
}

module make3D() {
	translate([0, 0, (h-t)/2]) top();
	for (i = [0 : number-2]) {
		difference() {
			translate([-baseWidth*(number-1)/2+i*baseWidth+baseWidth/2,0,t/2])
			cylinder(r= 1, h=baseHeight-t, center = true, $fs = 0.5);
			translate([-baseWidth*(number-1)/2+i*baseWidth+baseWidth/2,0,-t])
			cylinder(r= 0.2, h=baseHeight, center = true, $fs = 0.5);
		}
	}
	translate([0, d+t, (h-t)/2]) bottom();
	rotate([90, 0, 0]) translate([0, 0, (d-t)/2])front();
	rotate([270, 0, 0]) translate([0, 0, (d-t)/2])back();
	rotate([0, 90, 0]) translate([0, 0, (w-t)/2])side();
	rotate([0, 270, 0]) translate([0, 0, (w-t)/2])side();
}

module view2D() {
	translate([-(w+h+t)/2, 0, 0]) top();
	translate([+(w+h+t)/2, 0, 0]) top();
	translate([-(w+h+t)/2, +(d+h+t)/2, 0])front();
	translate([+(w+h+t)/2, +(d+h+t)/2, 0])back();
	side();
	translate([0, +(d*2+t)/2, 0])side();
}

if (view == 0) {
	view3D();
} else if (view == 1) {
	view2D();
} else if (view == 2) {
	projection(cut=true) {
		translate([0,0,-t/4]) view2D();
	}
} else if (view == 3) {
	projection(cut=true) {
		translate([0,0,t/4]) view2D();
	}
} else if (view == 4) {
	make3D();
}
```