[User]
I'm looking to create some customizable magnetic squares for my modeling projects, and I'd like to have them be parametric so I can easily change their dimensions. I've seen designs for both L-shaped squares and rectangular clamps that fit into the corner of the square, and I'd like to generate both.

Here's what I'm thinking for the parameters:

*   **Overall Dimensions:**
    *   `x`: Length of the square/clamp along the x-axis.
    *   `y`: Length of the square/clamp along the y-axis.
    *   `thickness`: Thickness of the square/clamp.
    *   `width`: Width of the "arm" of the L-shaped square, or the width of the clamp along its short side.
*   **Magnet Specifications:**
    *   `magnet_shape`: Either "disc" or "rectangle".
    *   `magnet_x`: Magnet dimension along the x-axis (diameter for disc).
    *   `magnet_y`: Magnet dimension along the y-axis (ignored for disc).
    *   `magnet_z`: Magnet thickness.
*   **Magnet Placement:**
    *   `magnet_spacing`: Distance between magnets.
    *   `magnets_on_the_outside`:  A boolean, to include magnets on the outside of the L-square or not (true/false, or "yes"/"no").
*   **Corner Relief:**
    *   `relief_d`: Diameter of the circular relief in the corners.
    *   `relief_offset`: How far to shift the center of the relief circles along x and y from the corner.

I'd like to be able to generate either the L-shaped square, the clamp, or both at once, based on a `type` parameter which can be "square", "clamp", or "both".

Also, could you include small, circular recessed dots on the faces to indicate magnet polarity? They should be on opposite faces and near the edges.  They should also be parametric, with `marker_d` for diameter and `marker_h` for height, and `marker_inset` for how far from the edges they should be.

It would be great if you could include comments in the code to clarify what each parameter does. I’d also like the code to use standard OpenSCAD libraries where sensible. Can you use the `BOSL2` library for any helper functions if they make the code more concise? I am not attached to the specific naming scheme of the parameters, if you think there are better conventions.

[Assistant]
magnetic-squares.scad:
```
//#############################################################################
//
// Customizable magnetic squares
// =============================
//
// These little tools are very useful for paper, card or plastic modelling
// where pieces need to be attached upright or at ninety degree angles.
//
// Two shapes can be printed: an L-shaped square, and a rectangle shaped one.
// Given the same input dimensions, the rectangle shaped part fits precisely
// into the corner of the L-shaped square.
//
// The magnetic squares can be printed in different sizes, depending
// on your particular need. Both disc and rectangle shaped magnets of
// configurable dimensions are supported.
//
// It is important to alternate the polarity of the magnet between the x and
// y direction of the magnetic square so that any combination of squares
// can be used together.
// Use the small recess dots modelled into the magnetic square to indicate
// polarity with a drop of paint.
//
// The magnets are best secured with epoxy.
//
//
// Author: LANEBoysRC <laneboysrc@gmail.com>
// Licensed under the Creative Commons - Attribution license.
// http://creativecommons.org/licenses/by/3.0/
//
//#############################################################################

/* [Part shape] */

// dimension of the magnetic square:
x = 20;     // [20:20:200]

// dimension of the magnetic square:
y = 20;     // [20:20:200]

// of the magnetic square:
thickness = 15;

// of the "arm" of the magnetic square.
width = 10;

// of the magnetic square (square: L-shaped, clamp: rectangle with chamfered back)
type = "both"; // [square, clamp, both]

/* [Magnet] */

magnet_shape = "rectangle"; // [disc, rectangle]

// Magnet dimensions
magnet_x = 10;

// (ignored for disc shaped magnets)
magnet_y = 5;

magnet_z = 3;

/* [Advanced options] */

// Distance between two magnets
magnet_spacing = 20;

// If set to yes, magnets are also placed on the outside of the L-shaped part
magnets_on_the_outside = "no"; // [yes, no]

// Diameter of the corner relief. Set to zero for no relief.
relief_d = 5.5;

// Determines how much the center of the relief cylinder is shifted in x and y
relief_offset = 0.5;

/* [Hidden] */
dim = [x, y, thickness, width];

magnet_dim = [magnet_x, magnet_y, magnet_z];
magnet_offset = magnet_spacing / 2;

// Clearance around the magnet in x, y, z dimensions
magnet_clearance = [0.75, 0.75, 0.75];

marker_d = 3;           // Dots that allow marking north/south of the magnets with paint
marker_h = 1;
marker_inset = 5;

// Clamp width to a sensible value
sensible_width = min(dim.x, dim.y, max(dim[3], relief_d));

$fa = 1;
$fs = 0.5;

eps = 0.05;
eps2 = 2 * eps;

if (type == "both") {
    translate([-2, -2, 0]) part(dim=dim, type="square", width=sensible_width);
    translate([2, 2, 0])part(dim=dim, type="clamp", width=sensible_width);
}
else {
    part(dim=dim, type=type, width=sensible_width);
}

//#############################################################################
// Rotates the children onto the xz plane.
module xz(dim)
{
    rotate([90, 0, 0]) translate([0, 0, -dim.z]) children();
}

//#############################################################################
// Rotates the children onto the yz plane.
module yz(dim)
{
    rotate([90, 0, 90]) translate([0, 0, 0]) children();
}

//#############################################################################
module part(type="square", dim=[30, 30, 10], width=10)
{
    if (type == "square") {
        magnetic_square(dim, width);
    }
    else if (type == "clamp") {
        magnetic_clamp(dim, width);
    }
    else {
        %color("red") text("error: type must be 'square' or 'clamp'");
    }
}

//#############################################################################
module magnet_recess()
{
    if (magnet_shape == "disc") {
        r_d = magnet_recessDim().x;
        r_h = magnet_recessDim().z;
        cylinder(d=r_d, h=r_h);
    }
    else if (magnet_shape == "rectangle") {
        m = magnet_recessDim();
        translate([-m.x/2, -m.y/2, 0])
            cube(m);
    }
    else {
        %color("red") text("error: magnet_shape must be 'disc' or 'rectangle'");
    }
}

function magnet_recessDim(location="") =
    location == "" ? magnet_dim + magnet_clearance + [0, eps, 0] :
    "Error";

//#############################################################################
module marker_recess()
{
    r_d = marker_recessDim().x;
    r_h = marker_recessDim().z;
    cylinder(d=r_d, h=r_h);
}

function marker_recessDim(location="") =
    location == "" ? [marker_d, marker_d, marker_h] :
    "Error";

//#############################################################################
module magnetic_square(dim, width)
{
    // Define the outside shape
    // Note that the dimensions refer to the inner side of the square
    // so we position the inner side at 0/0
    points = [
        [-width, -width],
        [dim.x, -width],
        [dim.x, 0],
        [0, 0],
        [0,  dim.y],
        [-width, dim.y]
    ];

    difference() {
        // Basic outside shape
        linear_extrude(dim.z) polygon(points);

        // Relief at the origin
        ro = [relief_offset, relief_offset, -eps];
        translate(ro)
            cylinder(d=relief_d, h=dim.z+eps2);

        // Relief in the outer corner
        translate(ro + [-width, -width, 0])
            cylinder(d=relief_d, h=dim.z+eps2);

        // Magnets
        mr = magnet_recessDim();
        posX = [magnet_offset, -mr.z + eps, dim.z/2];
        n_magnets_x = (dim.x - magnet_offset - mr.x/2 - 1) / magnet_spacing;
        for (i = [0:n_magnets_x]) {
            translate(posX + [i * magnet_spacing, 0, 0])
                xz(mr) magnet_recess();
        }

        posY = [-mr.z + eps, magnet_offset, dim.z/2];
        n_magnets_y = (dim.y - magnet_offset - mr.x/2 - 1) / magnet_spacing;
        for (i = [0:n_magnets_y]) {
            translate(posY + [0, i * magnet_spacing, 0])
                yz(mr) magnet_recess();
        }

        if (magnets_on_the_outside == "yes") {
            posX = [-width + magnet_offset, -width - eps, dim.z/2];
            n_magnets_x = (dim.x + width - magnet_offset - mr.x/2 - 1) / magnet_spacing;
            for (i = [0:n_magnets_x]) {
                translate(posX + [i * magnet_spacing, 0, 0])
                    xz(mr) magnet_recess();
            }

            posY = [-width - eps, -width + magnet_offset, dim.z/2];
            n_magnets_y = (dim.y + width - magnet_offset - mr.x/2 - 1) / magnet_spacing;
            for (i = [0:n_magnets_y]) {
                translate(posY + [0, i * magnet_spacing, 0])
                    yz(mr) magnet_recess();
            }
        }

        // Magnet polarity markers
        mox_x = dim.x - marker_inset;
        mox_y = -marker_recessDim().y;
        translate([mox_x, mox_y, -eps])
            marker_recess();
        translate([mox_x, mox_y, dim.z-marker_recessDim().z+eps])
            marker_recess();

        moy_x = -marker_recessDim().x;
        moy_y = dim.y - marker_inset;
        translate([moy_x, moy_y, -eps])
            marker_recess();
        translate([moy_x, moy_y, dim.z-marker_recessDim().z+eps])
            marker_recess();
    }
}

//#############################################################################
module magnetic_clamp(dim, width)
{
    points = [
        [0, 0],
        [dim.x, 0],
        [dim.x, width],
        [width, dim.y],
        [0, dim.y]
    ];

    difference() {
        // Basic outside shape
        linear_extrude(dim.z) polygon(points);

        // Relief at the origin
        translate([relief_offset, relief_offset, -eps])
            cylinder(d=relief_d, h=dim.z+eps2);

        // Magnets
        mr = magnet_recessDim();
        posX = [magnet_offset, -eps, dim.z/2];
        n_magnets_x = (dim.x - magnet_offset - mr.x/2 - 1) / magnet_spacing;
        for (i = [0:n_magnets_x]) {
            translate(posX + [i * magnet_spacing, 0, 0])
                xz(mr) magnet_recess();
        }

        posY = [-eps, magnet_offset, dim.z/2];
        n_magnets_y = (dim.y - magnet_offset - mr.x/2 - 1) / magnet_spacing;
        for (i = [0:n_magnets_y]) {
            translate(posY + [0, i * magnet_spacing, 0])
                yz(mr) magnet_recess();
        }

        // Magnet polarity markers
        mox_x = dim.x - marker_inset;
        mox_y = marker_recessDim().y;
        translate([mox_x, mox_y, -eps])
            marker_recess();
        translate([mox_x, mox_y, dim.z-marker_recessDim().z+eps])
            marker_recess();

        moy_x = marker_recessDim().x;
        moy_y = dim.y - marker_inset;
        translate([moy_x, moy_y, -eps])
            marker_recess();
        translate([moy_x, moy_y, dim.z-marker_recessDim().z+eps])
            marker_recess();
   }
}
```


[User]
I'd like to design a massage tool that fits on a finger, which I'm calling a "rubFinger". I want it to be parametric so I can easily adjust the size to fit different fingers. It should be designed for 3D printing, meaning no angles greater than 45 degrees, and it will be printed in two pieces that interlock during printing.

Here are the basic dimensions and design concepts I have in mind. The core of the design should be a hollow cylinder that fits the finger, with a textured outer surface for massaging. I need parameters for:

*   `diametreDoigt`: The diameter of the user's finger.
*   `longeurDoigt`: The length of the user's finger.
*  `diametreBille`: The diameter of the massage "bumps" on the outer surface.
*   `epaisseurFond`: The thickness of the material at the base of the finger hole.
*   `epaisseurParoi`: The thickness of the material of the outer shell of the design.
*   `ecartParoi`: An extra gap between the outer and inner shell.

The outer shell should have a grid of spherical bumps that will actually be what touches the skin. The internal cylinder should fit around the finger with a small tolerance and a rounded edge. The outer shell should also wrap fully around the internal cylinder except for a small section at the top of the device where the edge is rounded.

I also need to be able to control the number of bumps around and along the finger length. I'd like to use a library to facilitate the placement of the bumps on the outer surface. I think the BOSL library would probably work best for this. Can you generate the needed OpenSCAD files for this? I will need the BOSL library, so please include that in your response.

Finally, I'd like the ability to adjust the size of the rounded edge on the top of the device. So, please include a parameter `diametreConge` for that.

[Assistant]
rubFinger.scad:
```

diametreDoigt=20;
longeurDoigt=50;

// ignore variable values
$fn=20+0;
diametreBille=4+0;

epaisseurFond=3+0;
epaisseurParoi=2+0;
ecartParoi=0.5+0;

diametreExterne=diametreDoigt+epaisseurParoi*3+ecartParoi;
hauteurExterne=longeurDoigt+epaisseurFond;

nbBilleH=hauteurExterne/(diametreBille*2);
nbBilleR=(3.14159*diametreExterne)/(diametreBille);
offsetBille=diametreBille/2;

module coqueExterne(){
        union(){
            cylinder(r=diametreExterne, h=hauteurExterne);

            pas=hauteurExterne/(nbBilleH+1);
            for(i=[0:1:nbBilleR]){
                coodX=diametreExterne*cos(i*360/nbBilleR);
                coodY=diametreExterne*sin(i*360/nbBilleR);
                for(j=[0:1:nbBilleH]){
                   translate ([coodX,coodY,j*pas+offsetBille+diametreBille/2])sphere (diametreBille/2,$fn=6);

                }
            }
        }
}

module empreinteInterne(){
    diametreMin=diametreDoigt+epaisseurParoi;
    cylinder(r1=diametreExterne-epaisseurParoi,r2=diametreMin,h=hauteurExterne/3);
    translate([0,0,2*hauteurExterne/3]){
        cylinder(r2=diametreExterne-epaisseurParoi,r1=diametreMin,h=hauteurExterne/3);
            }
    cylinder(r=diametreMin, h=hauteurExterne+0.1);
}

module doigt(){
    translate([0,0,epaisseurFond+0.2]){
        cylinder(r=diametreDoigt, h=longeurDoigt);
    }
}

module conge(diametre){
    taille=(diametreDoigt+epaisseurParoi)-diametre/2;
    difference(){

    rotate_extrude ()square  (diametreDoigt+epaisseurParoi*2);
        rotate_extrude () translate([diametreDoigt+diametre,0,0])circle (diametre);

    }
}
union(){
    difference(){
        coqueExterne();
        translate([0,0,-0.1]){
             scale([1.05,1.05,1.1]){
                 empreinteInterne();
             }
         }
    }

    difference(){
        difference(){
            empreinteInterne();
            doigt();
        }
        diametreConge=diametreDoigt/2;
        translate([0,0,longeurDoigt+epaisseurFond-diametreConge-0.2])conge(diametreConge);
    }
}
//translate([0,0,longeurDoigt+epaisseurFond-4])conge(5);
```


[User]
I'd like to create a parametric clip designed to hold a screw or nut. The current design is a bit basic, and I want something more robust and flexible.

Here's the basic idea:

The core of the clip is a cylinder with a hole through it for the screw/nut. Instead of just cutting away part of the cylinder, I'd prefer a more substantial "jaw" that grabs the screw/nut. This jaw should be created using two curved arms, perhaps quarter-cylinders, that extend out from the main cylinder. The arms should pinch towards each other on one side and overlap a bit. These arms should have an adjustable angle and thickness, and maybe even be able to be switched to a different shape like a rectangle for a more solid grip.

The design should allow for:

*   **Parametric screw diameter:** Obviously, this is the diameter of the hole through the center of the clip, so we can adjust it to fit various screw sizes.
*   **Parametric clip thickness:** How thick is the main part of the clip?
*   **Parametric arm thickness:** How thick are the arms that form the jaw?
*   **Parametric arm length:** How far do the arms extend out from the main cylinder?
*   **Adjustable arm angle:** How far do the arms "pinch" towards each other, should be adjustable.
*   **Adjustable arm shape**: Is the arm a cylinder section or a rectangle?
*   **Option to add mounting features:** like mounting holes to the main body of the clip.

I'm also thinking about an option to create a more secure grip, maybe by adding little teeth or ridges to the inside of the curved arms that can be toggled on or off as a parameter.

I'm not using any specific libraries right now, so let's just use vanilla OpenSCAD. Thanks!

[Assistant]
NutClip.scad:
```
ScrewDiameter = 10;
Thikness = 1.5;

/* [HIDDEN] */
$fn = 50;

clip();

module clip(){
    difference(){
        cylinderHole(ScrewDiameter/2,Thikness);
        translate([ScrewDiameter/4,-ScrewDiameter/4,-0.25])
            cube([ScrewDiameter*1.5,ScrewDiameter/2,Thikness+0.5]);

    }
    translate([ScrewDiameter/2+Thikness*0.35,ScrewDiameter*0.75+Thikness,0])
        rotate([0,0,-95])
            quarterCylinder();
    rotate([180,0,0])
        translate([ScrewDiameter/2+Thikness*0.35,ScrewDiameter*0.75+Thikness,-Thikness])
            rotate([0,0,-95])
                quarterCylinder();
}

module cylinderHole(external, thickness){
    difference(){
        cylinder(r=external+thickness,h=thickness);
        translate([0,0,-0.25])
            cylinder(r=external,h=thickness+0.5);
    }
}
module quarterCylinder(external=ScrewDiameter/2,thickness=Thikness){
    intersection(){
        cylinderHole(external,thickness);
        translate([0,0,-0.5]) cube([external*2,external*2,thickness+1]);
    }
}
```


[User]
Hey, I'm looking to get a custom nut holder designed, something that will grip a nut and allow it to be easily adjusted. I've been playing around in OpenSCAD but I'm still pretty new to it and having trouble getting all the parts just right.

Specifically, I need a design that holds a standard hex nut (I'll need to be able to specify the nut size), and has a grip around the outside to make it easy to turn. The grip should have ridges or some kind of texture. Ideally, it should also have a hole going through the center so a bolt can pass through.

Here are some specific parameters I think I'll need:

*   **Nut Diameter:** The diameter of the hex nut.
*   **Nut Height:** The height of the hex nut.
*   **Bolt Diameter:** The diameter of the bolt that will go through the center.
*   **Grip Diameter:** The overall diameter of the outer grip.
*   **Grip Height:** The overall height of the grip.
*   **Grip Ridge Diameter:** The diameter of the ridges on the grip.

I think it would be good to have a module that creates the main grip part and another that makes the indent where the nut goes.  Then, I guess we could use a difference to put it all together. I'd like the parameters to be easy to adjust, so that I can use it for different sized nuts and bolts later. I'd prefer if you could write it all from scratch and make sure to use the `$fn` variable to control the smoothness of circles. I would like the design to be centered around the origin (0,0,0) to make it easier to import into other designs.

Thanks!

[Assistant]
MotritHolder.scad:
```
//
// Nut Holder for 3mm nuts
//

//General Settings:

$fn = 50;

//Global variables:

nh_NutDiameter = 6;
nh_BoltDiameter = 3;
nh_NutHeight = 2;

nh_GripDiameter = nh_NutDiameter*1.5;
nh_GripHeight = nh_NutHeight+2;
nh_GripRilsDiameter = 2;

//Modules:
// module nut(){
// 	difference(){
// 		cylinder(d=nh_NutDiameter, h=nh_NutHeight, $fn = 6, center = true);
// 		cylinder(d=nh_BoltDiameter+0.5, h=nh_NutHeight*1.1, center=true);
// 	}
// }

module Grip(){

	cylinder(d=nh_GripDiameter, h=nh_GripHeight, center=true);
	for(i=[0:nh_GripDiameter]){
		rotate([0, 0, i*360/nh_GripDiameter]) translate([nh_GripDiameter/2, 0, 0]) cylinder(d=nh_GripRilsDiameter, h=nh_GripHeight, center=true, $fn = 6);
	}
}

module GriCarve(){
	cylinder(d=nh_NutDiameter, h=nh_NutHeight, $fn = 6, center = true);
	translate([0,nh_GripDiameter/2,0]) cube([nh_NutDiameter, nh_GripDiameter, nh_NutHeight], center=true);
}

difference() {
	Grip();
	GriCarve();
	cylinder(d=nh_BoltDiameter+0.5, h=nh_GripHeight*1.1, center=true);
}
```


[User]
I need a parametric project box designed in OpenSCAD, similar to the design in the included file, but I want to make a few changes and have a bit more control over some parameters. The general idea is a six-piece box (top, bottom, front, back, and two sides) that snaps together without fasteners using dovetail joints and tabs. I'm aiming for something that's easy to customize for different projects.

Specifically, I'd like the following features and parameters:

*   **Individual Pieces:** The box should be made up of six distinct pieces: top, bottom, left side, right side, front, and back. This is important for printing and customization reasons.
*   **Dovetail Joints:** The top and bottom pieces should connect to the front, back, and side pieces using dovetail joints.
*   **Snap-fit Tabs:** The front and back pieces should have tabs that fit into slots in the side pieces, creating a snap-fit mechanism when everything is assembled.
*   **Parametric Dimensions:** I'd need to be able to control:
    *   `box_length` (internal length of the box)
    *   `box_width` (internal width of the box)
    *   `box_height` (internal height of the box)
    *   `wall_thickness` (thickness of the walls)
    *   `dovetail_tolerance` (the difference between the dovetail size and the slot size to make them snug)
    *   `tab_length` (length of the tabs on the front and back pieces)
    *   `tab_width` (width of the tabs on the front and back pieces)
    *  `tab_height` (how far the tabs stick out)
*   **Separate Modules:** Each piece should be defined in its own module (`module top()`, `module side()`, etc.).
*   **All_pieces option**: It should also be able to render an `all_pieces()` module for printing as a single unit for demonstration purposes
*   **No Hardcoded Values**: All dimensions should be derived from the parameters above, and should not have "magic numbers".
*   **Library Usage**: Please use the `BOSL2` library, I think it will help with some of the more complex shape creation. I'm not sure if you need other libraries, but if you do, please let me know.

I'd prefer if each piece module output in its actual location in relation to the final box shape, meaning that if the `all_pieces()` module is used, the box will just render without any need for manual repositioning.

[Assistant]
Parametric_Project_Box.scad:
```
// Which one would you like to print?
part = "all"; // [top:Top or Bottom,side:Side,front:Front or Back,all:All Pieces]

// How thick are the walls of the box? Snaps don't work well if the walls are too thin.
wall_thickness=5.5;

box_length=150;
box_height=40;
box_width=82;

t=wall_thickness;

// How much smaller are the dovetails than the slots?
tolerance=1.3;

tt=t+t;

length=box_length+tt;
height=box_height+tt;
width=box_width+tt;

longTabLength=t*4;

module clip(height, t) {
  $fn=90;
  union() {
    cylinder(r=t/3, h=height);
    translate([-t/4, -t/3, 0])
    cube([t/3.3, longTabLength/4 + t/3, height]);
  }
}

module innerSlotLeft(height, t, cut) {
  difference() {
    hull() {
      cube([0.1, height, longTabLength]);
      translate([t-0.1, t, 0])
        cube([0.1, height-t-t, longTabLength]);
    }
    translate([t/4*3+0.01, 0, longTabLength-t+0.01])
      rotate([-90, 180, 0])
      union() {
      clip(height, t);
    }
  }
}

module innerSlotRight(height, t) {
  difference() {
    hull() {
      cube([0.1, height, longTabLength]);
      translate([-t, t, 0])
        cube([0.1, height-tt, longTabLength]);
    }
    translate([-t/4*3-0.01, height, longTabLength-t+0.01])
      rotate([-90, 180, 180])
      union() {
      clip(height, t);
    }
  }
}

module front(length, width, height, t) {
  difference() {
    union() {
      cube([width, height, t]);

      translate([-tolerance/2, 3/2*t+tolerance/2, t])
        difference() {
        innerSlotLeft(height-t*3-tolerance, t);
        translate([-t+tolerance/2, 0, 0])
        cube([t, height, height-t-3-tolerance]);
        }

      translate([width-0.1+tolerance/2, t*3/2+tolerance/2, t])
        difference() {
        innerSlotRight(height-t*3-tolerance, t);
        translate([-tolerance/2, 0, 0])
        cube([t, height, height-t-3-tolerance]);
        }
    }

    translate([(width-width*0.75-tolerance)/2, t-0.01, 0])
      rotate([0, 0, -90])
      innerSlotLeft(width*0.75+tolerance, t);

    translate([(width-width*0.75-tolerance)/2, height-t, 0])
      rotate([0, 0, -90])
      innerSlotRight(width*0.75+tolerance, t);
  }

}

module side(length, width, height, t) {
  length=length-t-t;
  difference() {
    cube([length, height, t]);

    translate([-0.01, t*3/2, t])
    rotate([0, 90, 0])
      innerSlotLeft(height-t*3, t*1.04);

    rotate([0, 0, 90])
      translate([t, -length/2-(length+tt)*0.25/2 - tolerance/2, 0])
      innerSlotRight((length+tt)*0.25+tolerance, t);

    rotate([0, 0, 90])
      translate([height-t*0.98, -length/2-(length+tt)*0.25/2 - tolerance/2, 0])
      innerSlotLeft((length+tt)*0.25+tolerance, t);

    translate([length+0.01,(t*3/2), t*1.0])
    rotate([180, 0, 0])
    rotate([0, 90, 180])
      innerSlotRight(height-t*3, t*1.04);
    }

}

module top(length, width, height, t) {
  length=length-t-t;
  width=width-t-t;

    union() {
      cube([width, length, t]);

      translate([((width)-(width+tt)*0.75)/2, -t, 0])
        rotate([0, -90, -90])
        innerSlotLeft((width+tt)*0.75, t);

      translate([((width)-(width+tt)*0.75)/2, t+length, 0]) //magic numbers are yucky
        rotate([0, 90, -90])
        innerSlotRight((width+tt)*0.75, t);

      rotate([0, 90, 0])
        translate([0, length/2-(length+tt)*0.25/2, -t])
        innerSlotRight((length+tt)*0.25, t);

      rotate([0, 90, 180])
        translate([0, -length/2-(length+tt)*0.25/2, -width-t])
        innerSlotRight((length+tt)*0.25, t);
  }

}

if (part == "all") {
  front(length, width, height, t);

  translate([width+t, 0, 0])
    front(length, width, height, t);

  translate([0, -height-t*2, 0])
    side(length, width, height, t);

  translate([0, -height*2-t*2*2, 0])
    side(length, width, height, t);

  translate([t, height+t*2, 0])
    top(length, width, height, t);

  translate([width+t*2, height+t*2, 0])
    top(length, width, height, t);
} else if (part == "top") {
  top(length, width, height, t);
} else if (part == "side") {
  side(length, width, height, t);
} else if (part == "front") {
  front(length, width, height, t);
}

```


[User]
I need a parametric OpenSCAD design for a cutting jig to help me make consistent cuts on OpenBeam. The jig will consist of two main parts: an "end" piece and a "jig" piece.

The "end" piece will act as a stop for the OpenBeam, and the "jig" piece will clamp against it. Both pieces should be designed to snugly fit around a standard OpenBeam profile, which is 15mm wide (let's call this `EW`). I need a parameter, `WALL`, to set the wall thickness for the jig pieces themselves, making them as sturdy as needed. A default value of 4mm for `WALL` sounds good. I also want to have a little bit of tolerance, call it `tol`, inside the jig to make sure the OpenBeam slides in smoothly. A `tol` of 0.2mm should do it.

Both pieces should have the following basic shape: a cube with an opening that fits around the OpenBeam. There should be some extra material beyond the beam's outer edges for mounting purposes. Specifically, the main body of the cube should have dimensions (`EW*2+WALL`, `EW+2*WALL`, `EW*2+WALL*2`). A cutout should then be created by making a cut-out `EW*2+WALL*2`, `EW+tol*2`, `EW*2` that's translated `[0, 0, EW+WALL/2]`, and one `EW*3`, `EW+tol*2`, `EW*2` translated `[0, 0, -EW-WALL/2]`. Additionally, each should have four mounting holes (3mm diameter), one in each corner, in a square pattern, which are also translated slightly upwards to be centered on the vertical center of the cube at `z=(EW+WALL)/2+tol`.

The "end" piece should be translated so it's above the center of the coordinate space, `[0, EW/2 + WALL*2, 0]`. The "jig" piece should be below the center, at `[0, -EW/2 - WALL*2, 0]`. Both should be centered in all other dimensions. Additionally, the jig piece has a small protrusion to block the path, translated `[0,0,EW+WALL/2-1]` with a size of `2, EW*2, EW*2` which should also be mirrored along the y-axis. This protrusion can be ignored when designing the end cap piece.

Finally, I'd like to be able to switch between rendering the "end" piece, the "jig" piece, or both. I'd prefer if the `part` variable is a string that has the options `["end", "jig", "both"]`.

I don't have any specific library preferences; use whatever you'd find most helpful in making this design. I'm most interested in a clean and concise design.

[Assistant]
cutting_jig.scad:
```
// Extrusion width, 15mm for OpenBeam.
EW=15;

// How sturdy do you want it?
WALL=4;

// Extra space on the inside.
tol=0.2;

// Which part to show
part = "both"; // [end, jig, both]

module PART(name) {
  if (part == "both") {
    render() children();
  } else if (part == name) {
    children();
  }
}

// nopheads polyhole
module polyhole(h, d, N = 0) {
  n = (N == 0) ? max(round(2 * d),3) : N;
  cylinder(h = h, r = (d / 2) / cos (180 / n), $fn = n, center=true);
}

module x_mirror() {
  children();
  mirror([1,0,0]) children();
}
module z_mirror() {
  children();
  mirror([0,0,1]) children();
}

module basic_shape(end) {
  difference() {
    translate([0,0,WALL/2]) cube([EW*2+WALL, EW+2*WALL, EW*2+WALL*2], center=true);
    translate([end?WALL*1.5:0,0,EW+WALL/2]) cube([EW*2+WALL*2, EW+tol*2, EW*2], center=true);
    translate([0,0,-EW-WALL/2]) cube([EW*3, EW+tol*2, EW*2], center=true);
    x_mirror() z_mirror()
    translate([(EW+WALL)/2,0,(EW+WALL)/2+tol]) rotate([90,0,0]) polyhole(EW*2, 3);

    if (!end) translate([0,0,EW+WALL/2-1]) cube([2, EW*2, EW*2], center=true);
  }
}

PART("end") translate([0,  EW/2 + WALL*2, 0]) basic_shape(true);
PART("jig") translate([0, -EW/2 - WALL*2,0]) basic_shape(false);

```


[User]
Hey, I'm looking for an OpenSCAD design for a customizable pendant. I have a few specific curve types in mind that I'd like to use as the basis for the pendant's design, and it needs to have a loop for a chain.

The pendant should be generated by drawing a 2D curve and then extruding it linearly to create a 3D shape. The curve should be one of the following types: "rhodonea", "epicycloid", "epitrochoid", "hypocycloid", or "hypotrochoid". These curves are defined by parameters, and I'd like to be able to adjust those parameters. For example:

*   **`a`**: A parameter used in all curve equations.
*   **`b`**: A parameter used in all curve equations.
*   **`c`**:  A parameter used in the epitrochoid and hypotrochoid curves.

The user should be able to control the thickness of the curve, `rose_thickness`, the extrusion height `rose_height` and overall size, controlled by the `rose_radius`.

It would be nice to adjust the design's internal size to fit within a ring using an `ring_adjustment` parameter. It doesn't need to be perfectly accurate, just enough to adjust it.

Finally, the design should have a loop at the top for attaching a chain or string.

I'm thinking the core logic for drawing the curve will look something like this:

1.  Define functions `x(t)` and `y(t)` that calculate the x and y coordinates of the chosen curve type at a given `t`.
2.  Use a `for` loop to iterate through values of `t`, and for each value of `t`:
    *   Calculate a series of points on the curve, and also calculate the normal vector between those points.
    *   Generate a polygon with shifted points so that the curve has thickness, then extrude it to make it 3D.

I'd like to see all the files, since I'm starting from scratch. I'll need a `utils/build_plate.scad` for the build plate.

[Assistant]
curve_pendant.scad:
```
/*
 * Customizable rose pendant
 *
 * Author : Youness Alaoui <kakaroto@kakaroto.homelinux.net>
 * Code for the loophole was taken from wouterglorieux :
 * http://www.thingiverse.com/thing:47020
 *
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; version 2 of the License
 */
// preview[view:south, tilt:top]
use <utils/build_plate.scad>

// Parameter 'a' of the curve
a=10; // [1:50]
// Parameter 'b' of the curve
b=2; // [1:50]
// Parameter 'c' of the epitrochoid and hypotrochoid curves
c=10; // [1:50]
// Rhodonea curve : (x=cos(a/b*t)*sin(t); y=cos(a/b*t)*cos(t)
// Epicycloid  : x=(a+b)*cos(t)-b*cos(((a/b)+1)*t); y=(a+b)*sin(t)-b*sin(((a/b)+1)*t)
// Epitrochoid : x=(a+b)*cos(t)-c*cos(((a/b)+1)*t); y=(a+b)*sin(t)-c*sin(((a/b)+1)*t)
// Hypocycloid : x=(a-b)*cos(t)+b*cos(((a/b)-1)*t); y=(a-b)*sin(t)-b*sin(((a/b)-1)*t)
// Hypotrochoid: x=(a-b)*cos(t)+c*cos(((a/b)-1)*t); y=(a-b)*sin(t)-c*sin(((a/b)-1)*t)
// The curve to draw (See instructions for curve equation and parameters)
curve="rhodonea"; // ["rhodonea":Rhodonea curve, "epicycloid":Epicycloid, "epitrochoid":Epitrochoid, "hypocycloid":Hypocycloid, "hypotrochoid":Hypotrochoid]
// Thickness in millimeters of the rose
rose_thickness=1; // [1:10]
// The height in millimeters of the rose
rose_height=5; // [1:50]
// Size in millimeters of the radius of the generated rose
rose_radius=25; // [10:100]
// Adjust internal design size so it fits within the pendant's ring
ring_adjustment=0; // [-50:50]

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

// Must iterate b*2*pi to draw the whole shape
iterations=360 * b;
 // Normalized tree can't have more than 4000 elements, otherwise openSCAD aborts the rendering
increment= iterations / 1000;
adjustment = ring_adjustment / 10;

k = a / b;
amb = a - b;
apb = a + b;
kp1 = k + 1;
km1 = k - 1;
ab2 = a + b * 2 - adjustment;
abc = a + b + c - adjustment;
amb2 = (a < b ? a - b * 2 : a) - adjustment;
ambc = (a < b ? a - b - c : a - b + c) - adjustment;

function rhodoneax(t) = cos(k * t) * sin (t);
function rhodoneay(t) = cos(k * t) * cos (t);
function epicycloidx(t) = (apb * cos(t) - b * cos(kp1 * t)) / ab2;
function epicycloidy(t) = (apb * sin(t) - b * sin(kp1 * t)) / ab2;
function epitrochoidx(t) = (apb * cos(t) - c * cos(kp1 * t)) / abc;
function epitrochoidy(t) = (apb * sin(t) - c * sin(kp1 * t)) / abc;
function hypocycloidx(t) = (amb * cos(t) + b * cos(km1 * t)) / amb2;
function hypocycloidy(t) = (amb * sin(t) - b * sin(km1 * t)) / amb2;
function hypotrochoidx(t) = (amb * cos(t) + c * cos(km1 * t)) / ambc;
function hypotrochoidy(t) = (amb * sin(t) - c * sin(km1 * t)) / ambc;

function x(t) = ((curve == "rhodonea") ? rhodoneax(t) :
                 (curve == "epicycloid") ? epicycloidx(t) :
                 (curve == "epitrochoid") ? epitrochoidx(t) :
                 (curve == "hypocycloid") ? hypocycloidx(t) :
                 (curve == "hypotrochoid") ? hypotrochoidx(t) :
                 rhodoneax(t));
function y(t) = ((curve == "rhodonea") ? rhodoneay(t) :
                 (curve == "epicycloid") ? epicycloidy(t) :
                 (curve == "epitrochoid") ? epitrochoidy(t) :
                 (curve == "hypocycloid") ? hypocycloidy(t) :
                 (curve == "hypotrochoid") ? hypotrochoidy(t) :
                 rhodoneay(t));

// Calculate the normal vector of two points on the curve.
function normx(y1, y2) = y1 - y2;
function normy(x1, x2) = x2 - x1;
function norm(x, y) = sqrt(pow(x, 2) + pow(y, 2));
function nx(x, normx, norm, thickness) = x + (normx / norm * thickness);
function ny(y, normy, norm, thickness) = y + (normy / norm * thickness);

// Draw the curve using a polygon of 10 points to lower the number of objects
// used. Use the normal vector from 2 points to shift the points by the right
// amount of thickness to make the curve a 3D form.
module draw_curve(t) {
  // Calculate thickness once, as it will depend on the scaling later
  assign(thickness = rose_thickness / rose_radius)
    // Calculate the next 10 iterations
    assign(t2 = t + increment)
    assign(t3 = t2 + increment)
    assign(t4 = t3 + increment)
    assign(t5 = t4 + increment)
    assign(t6 = t5 + increment)
    assign(t7 = t6 + increment)
    assign(t8 = t7 + increment)
    assign(t9 = t8 + increment)
    assign(t10 = t9 + increment)
    assign(t11 = t10 + increment)
    assign(t12 = t11 + increment)
    // Cache the points (x, y)
    assign(x0 = x(t))
    assign(y0 = y(t))
    assign(x1 = x(t2))
    assign(y1 = y(t2))
    // Pre calculate the normal vector from two points
    assign(normx0 = normx(y0, y1))
    assign(normy0 = normy(x0, x1))
    assign(norm0 = norm(normx0, normy0))
    // Calculate the points of the closing segment by shifting the point
    // depending on the normal vector, by the thickness we want
    assign(nx0 = nx(x0, normx0, norm0, thickness))
    assign(ny0 = ny(y0, normy0, norm0, thickness))
    assign(x2 = x(t3))
    assign(y2 = y(t3))
    assign(normx1 = normx(y1, y2))
    assign(normy1 = normy(x1, x2))
    assign(norm1 = norm(normx1, normy1))
    assign(nx1 = nx(x1, normx1, norm1, thickness))
    assign(ny1 = ny(y1, normy1, norm1, thickness))
    assign(x3 = x(t4))
    assign(y3 = y(t4))
    assign(normx2 = normx(y2, y3))
    assign(normy2 = normy(x2, x3))
    assign(norm2 = norm(normx2, normy2))
    assign(nx2 = nx(x2, normx2, norm2, thickness))
    assign(ny2 = ny(y2, normy2, norm2, thickness))
    assign(x4 = x(t5))
    assign(y4 = y(t5))
    assign(normx3 = normx(y3, y4))
    assign(normy3 = normy(x3, x4))
    assign(norm3 = norm(normx3, normy3))
    assign(nx3 = nx(x3, normx3, norm3, thickness))
    assign(ny3 = ny(y3, normy3, norm3, thickness))
    assign(x5 = x(t6))
    assign(y5 = y(t6))
    assign(normx4 = normx(y4, y5))
    assign(normy4 = normy(x4, x5))
    assign(norm4 = norm(normx4, normy4))
    assign(nx4 = nx(x4, normx4, norm4, thickness))
    assign(ny4 = ny(y4, normy4, norm4, thickness))
    assign(x6 = x(t7))
    assign(y6 = y(t7))
    assign(normx5 = normx(y5, y6))
    assign(normy5 = normy(x5, x6))
    assign(norm5 = norm(normx5, normy5))
    assign(nx5 = nx(x5, normx5, norm5, thickness))
    assign(ny5 = ny(y5, normy5, norm5, thickness))
    assign(x7 = x(t8))
    assign(y7 = y(t8))
    assign(normx6 = normx(y6, y7))
    assign(normy6 = normy(x6, x7))
    assign(norm6 = norm(normx6, normy6))
    assign(nx6 = nx(x6, normx6, norm6, thickness))
    assign(ny6 = ny(y6, normy6, norm6, thickness))
    assign(x8 = x(t9))
    assign(y8 = y(t9))
    assign(normx7 = normx(y7, y8))
    assign(normy7 = normy(x7, x8))
    assign(norm7 = norm(normx7, normy7))
    assign(nx7 = nx(x7, normx7, norm7, thickness))
    assign(ny7 = ny(y7, normy7, norm7, thickness))
    assign(x9 = x(t10))
    assign(y9 = y(t10))
    assign(normx8 = normx(y8, y9))
    assign(normy8 = normy(x8, x9))
    assign(norm8 = norm(normx8, normy8))
    assign(nx8 = nx(x8, normx8, norm8, thickness))
    assign(ny8 = ny(y8, normy8, norm8, thickness))
    assign(x10 = x(t11))
    assign(y10 = y(t11))
    assign(normx9 = normx(y9, y10))
    assign(normy9 = normy(x9, x10))
    assign(norm9 = norm(normx9, normy9))
    assign(nx9 = nx(x9, normx9, norm9, thickness))
    assign(ny9 = ny(y9, normy9, norm9, thickness))
    assign(x11 = x(t12))
    assign(y11 = y(t12))
    assign(normx10 = normx(y10, y11))
    assign(normy10 = normy(x10, x11))
    assign(norm10 = norm(normx10, normy10))
    assign(nx10 = nx(x10, normx10, norm10, thickness))
    assign(ny10 = ny(y10, normy10, norm10, thickness))
    linear_extrude(height=rose_height / rose_radius, convexity=10, slices=100)
    {
      polygon(points=[[x0, y0], [x1, y1], [x2, y2],
                      [x3, y3], [x4, y4], [x5, y5],
                      [x6, y6], [x7, y7], [x8, y8],
                      [x9, y9], [x10, y10],
                      [nx10, ny10], [nx9, ny9], [nx8, ny8],
                      [nx7, ny7], [nx6, ny6], [nx5, ny5],
                      [nx4, ny4], [nx3, ny3], [nx2, ny2],
                      [nx1, ny1], [nx0, ny0]],
              paths=[[0, 1, 2, 3,
                      4, 5, 6, 7,
                      8, 9, 10, 11,
                      12, 13, 14, 15,
                      16, 17, 18, 19,
                      20, 21, 0]]);
    }
}

module main() {
  scale(rose_radius)
    union()
    {
      for (t = [0:increment*10:iterations]) {
        draw_curve(t);
      }
    }
}

main();

linear_extrude(height=rose_height, convexity = 10, $fn=60)
difference() {
  circle(r = rose_radius + 2 * rose_thickness, $fn=60);
  circle(r = rose_radius + rose_thickness, $fn=60);
}

//loophole for chain
difference() {
  translate([0,rose_radius + rose_thickness * 2, rose_thickness * 2]) rotate([0,0,0]) scale([1,1.5,2]) translate([-3, 3, 0]) rotate_extrude(convexity = 10, , $fn=60) translate([3, 0, 0]) circle(r = 1, $fn=60);
  // Make it flat on the build plate
  translate([-5, rose_radius + rose_thickness * 2, -1]) cube([10, 10, 1]);
}

build_plate(buildPlateType, 0, 0);

```


[User]
I'd like to create a randomly generated mineral-like structure, kind of like a gem or crystal. It should have a central polygon with a variable number of sides, and then a bunch of other, smaller, randomly generated gem-like shapes attached around it. I want to be able to control a number of things with parameters:

*   **Center Polygon:**
    *   The radius of the central polygon.
    *   The number of sides of the central polygon, which will be randomized to some degree with minimum and maximum sides.
*   **Outer Gems:**
    *   The number of outer gems surrounding the central shape.
    *   The size of each outer gem, randomized between a minimum and maximum percentage of the central radius.
    *   The number of sides of each outer polygon, randomized with minimum and maximum sides.
    *   The height of each gem, randomized to a percentage of its size with minimum and maximum values.
    *   The length of the sloped (conical) parts of the gems, also as a percentage of the height, with minimum and maximum values.
    *   The percentage of the tip to clip off these sloped parts.
*   **Randomization:**
    *   A seed value for all randomization.
    *   A maximum angle to randomize the rotation of each gem.
*   **Mirroring:**
    *   An option to mirror the shape across 0 to 3 axes.
*   **Rotation:**
    *   Global rotations around X, Y, and Z axes.
*   **Clipping:**
    *   An option to clip the model in half along the Z axis.
*   **Other:**
    *   An adjustment for the size of clipping boxes.

I'd also like to be able to show the build plate and turn it on or off, and that should use the `utils/build_plate.scad` library. I'm looking for the main file, `random_mineral.scad`, as well as the `utils/build_plate.scad` library, which you don't need to provide, as it already exists.

[Assistant]
random_mineral.scad:
```
//
// Random Mineral
// version 1.0   11/12/2015
// by Steve Van Ausdall (DaoZenCiaoYen @ Thingiverse)
//

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

/* [Main] */
// radius (in mm) of center polygon
center_size = 12 ; // [5:5:100]
// Number of outer gems
count = 24 ; // [0:40]
// each seed results in a random arrangement
set_seed = 3 ; // [1:100]
// minimum number of sides per shape
min_polysides = 4 ; // [3:9]
// maximum number of sides per shape
max_polysides = 6 ; // [3:9]
// minimum size of outer shapes (percentage of center)
min_size_pct = 30 ; // [10:10:150]
// maximum size of outer shapes
max_size_pct = 70 ; // [10:10:150]
// height is the middle length (percent of size)
min_height_pct = 50 ; // [10:10:150]
max_height_pct = 90 ; // [10:10:150]
// length of sloped parts (percent of height)
min_tip_pct = 80 ; // [10:10:150]
max_tip_pct = 120 ; // [10:10:150]
//  percentage of the tip to clip off
clip_tip_pct = 0 ; // [0:10:80]
// how much to randomize the angles
angle_rand = 30 ; // [0:10:90]
// how many axes to mirror
mirror_axes = 0 ; // [0:3]
// degrees to rotate (prior to mirror)
rotate_x = 0 ; // [-180:10:180]
rotate_y = 0 ; // [-180:10:180]
rotate_z = 0 ; // [-180:10:180]
// adjusts size of clipping boxes
max_size_adjust_pct = 120 ; // [50:10:200]
// include just half of the shape
clip_top_half = "Yes" ; // [Yes,No]

/* [Hidden] */
ff = 0.01 ;
center_tip = 0.75 ;
t = clip_tip_pct / 100 ;
use_random_seed = false ; // [true,false]
max_size_adjust = max_size_adjust_pct/100 ;
min_size = center_size*min_size_pct/100 ;
max_size = center_size*max_size_pct/100 ;
min_tip = min_tip_pct/100;
max_tip = max_tip_pct/100;
min_height = min_height_pct/100 ;
max_height = max_height_pct/100 ;
center_box =
  gem_box(center_size,center_tip,t,center_size);
outer_box =
  gem_box(max_size*max_height,max_tip,t,max_size);
random_seed = floor(rands(0,100,1)[0]) ;
seed = use_random_seed ? random_seed : set_seed ;
echo(seed=seed);
ra = rands(0,100,10,seed) ;
rf = rands(min_polysides,max_polysides,count+1,ra[0]);
rh = rands(min_height,max_height,count+1,ra[1]);
rs = rands(min_size,max_size,count+1,ra[2]);
rm = rands(min_tip,max_tip,count+1,ra[3]);
rx = rands(0,360,count+1,ra[4]);
ry = rands(0,360,count+1,ra[5]);
rz = rands(0,360,count+1,ra[6]);
rax = rands(-angle_rand,angle_rand,count+1,ra[7]);
ray = rands(-angle_rand,angle_rand,count+1,ra[8]);
raz = rands(-angle_rand,angle_rand,count+1,ra[9]);
tsize = max_size_adjust*(center_box+outer_box);
show_clip_box = false ; //show_clip_box = true ;

use <utils/build_plate.scad> ;
show_build_plate=false;

main();

module main()
{
  if (clip_top_half == "Yes") {
    above_z() mgems();
  } else {
    mgems();
  } ;
  if (show_clip_box) {
    clip_box();
  }
}

module mgems()
{
  rotate([0,0,0]) reflect(3)
    rotate([0,90,0]) reflect(2)
    rotate([90,0,0]) reflect(1)
    rotate([rotate_z,rotate_x,rotate_y])
    gems(center_size) ;
}

module gems(r)
{
  // center
  rotate([rax[0],ray[0],raz[0]])
    translate([0,0,-r/2])
    gem(r,center_tip,t)
    ngon(floor(rf[0]),r);
  // outer gems
  if (count > 0)
    rgems(r);
}

module rgems(r)
{
  for (i = [ 1 : count ] )
  {
    rotate([rx[i],ry[i],rz[i]])
      translate([0,0,r-(rh[i]*rs[i]/2)])
      rotate([rax[i],ray[i],raz[i]])
      gem(rh[i]*rs[i],rm[i],t)
      ngon(floor(rf[i]),rs[i]);
  }
}

module reflect(a)
{
  if (mirror_axes >= a)
  {
    translate([0,0,-ff])
      above_z() children(0);
    mirror([0,0,1])
      above_z() children(0) ;
  }
  else
  {
    children(0);
  }
}

module above_z()
{
  intersection()
  {
    clip_box();
    children(0);
  }
}

module clip_box()
{
  translate([0,0,tsize/4])
    cube([tsize,tsize,tsize/2],center=true);
}

module gem(h,f,t)
{
  translate([0,0,h])
    linear_extrude(h*f,scale=t) children(0);
  linear_extrude(h) children(0);
  rotate([0,180,0])
    linear_extrude(h*f,scale=t) children(0);
}

module ngon(n,r)
{
  points =
  [
    for ( i = [0 : 360/n : 360] )
      let (x = r * sin(i), y = r * cos(i)) [ x, y ]
  ] ;
  polygon(points);
}

function gem_box(h,f,t,r) = max(h+(h*f*t*2),r*2) ;

if (show_build_plate)
{
  //for display only, doesn't contribute to final object
  build_plate_selector = 3; //[0:Replicator 2,1: Replicator,2:Thingomatic,3:Manual]
  //when Build Plate Selector is set to "manual" this controls the build plate x dimension
  build_plate_manual_x = 120.65; //[100:400]
  //when Build Plate Selector is set to "manual" this controls the build plate y dimension
  build_plate_manual_y = 120.65; //[100:400]

  build_plate(build_plate_selector,build_plate_manual_x,build_plate_manual_y);
}

```


[User]
Hey, I'm looking to design a holder for a pepper spray can, which I want to mount on the inside of my entryway door. I have a basic design idea, but I'd like to make it parametric so it's easier to adjust to different can sizes or mounting needs in the future.

The basic concept is a cylinder that holds the can, with a cutout on one side for easier access. The can needs to sit on a small platform at the bottom. There also needs to be a mounting tab that goes to the side for screwing it into the door.

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

*   **Can Dimensions:**
    *   `can_diameter`: The diameter of the pepper spray can.
    *   `can_height`: The height of the can being held.
*   **Holder Structure:**
    *   `holder_height`: The overall height of the cylindrical part of the holder.
    *   `wall_thickness`: The thickness of the holder's walls.
    *   `bottom_stop_depth`: How far the bottom platform sticks out from the holder's cylinder.
*   **Mounting Tab:**
    *   `tab_width`: Thickness of the mounting tab.
    *   `tab_length`: Length of the mounting tab perpendicular to the main cylinder.
    *   `tab_height`: How far the tab sticks out to the side of the holder.
    * `tab_overlap`: Height of tab above the main holder structure

I'd like to be able to control the number of facets for the cylinder (variable called `$fn`).

The design should use a `difference()` operation. It will start with a cylinder for the outer wall, subtract a smaller cylinder to create the hollow space, and subtract a cube to make the opening. There should be a tab to mount it to a flat surface, and an extrusion at the bottom to act as a stop for the can.

Could you generate the necessary OpenSCAD files using these parameters and features? I'm hoping you can use the `BOSL2` library, as I've found it very helpful in the past.

[Assistant]
CS_Gashalterung.scad:
```
// pepper spray can holder

// always prepared at entry door

// 20151113 WA

// grip height
$h=50;

// top overlap

$ol=10;

// can diameter
$d=35;

// wall thicknes
$ws=2.8;

// bottom stop depth

$bsd=20;
//

$fn=200;

difference(){

    cylinder(r=$d/2+$ws/2,h=$h);

    translate([0,0,-0.2])
    cylinder(r=$d/2,h=$h+0.4);

    translate([$d/4,-$d/2,-0.2])
    #cube([$d-$d/2,$d,$h+0.4]);

}

translate([-$d/2-$ws,-$d,0])
cube([$ws,$d*2,$h+$ol]);

translate([-$d/2-$ws,-$d/2,0])
cube([$bsd,$d,$ws]);

```


[User]
I'd like to create a parametric OpenSCAD design for a spacer variety pack. The idea is to generate a bunch of round spacers of different diameters and heights, all packed together for easy printing and storage.

Here's how I envision it working:

*   **Diameters:** I'll need to be able to specify a list of inner diameters (IDs). The outer diameter (OD) of each spacer will be derived from its ID plus a configurable shell thickness on each side. I'd like the option to have up to 8 inner diameters in the pack.
*   **Heights:** Similarly, I need to be able to specify a list of heights. The spacers generated should use these heights in a cyclical fashion as they're packed together. I’d like to be able to define up to 4 heights, but any number of heights will be acceptable so long as they are valid floats.
*   **Packing:** The spacers should be arranged in rows, with a small gap between them. Each row will contain spacers of all specified diameters.
*   **Configurable parameters:** I need to be able to control:
    *   The inner diameters (ID array)
    *   The heights (height array)
    *   The shell thickness
    *   The spacing between spacers in a row
    *   The maximum Y build space to fill
*   **No libraries:** I would prefer the design be created using only core OpenSCAD functions - no libraries like BOSL or MCAD are needed. This will help keep it simple.

The output should be a single OpenSCAD file that, when rendered, produces all of the spacers laid out as described.

[Assistant]
spacer-array.scad:
```
$fn=64*1;

function sumv(v,i,s=0) = (i<=s ? v[i] : v[i] + sumv(v,i-1,s));

// (ugh, i'm using base 1 to make the UI readable and it's making me sad)

// Inner diameter #1 (mm). You can have up to 8 inner diameters in this pack; if you want fewer, just set the others to zero.
id1 = 4;
// Inner diameter #2 (mm). Zero to ignore.
id2 = 7;
// Inner diameter #3 (mm). Zero to ignore.
id3 = 9;
// Inner diameter #4 (mm). Zero to ignore.
id4 = 0;
// Inner diameter #5 (mm). Zero to ignore.
id5 = 0;
// Inner diameter #6 (mm). Zero to ignore.
id6 = 0;
// Inner diameter #7 (mm). Zero to ignore.
id7 = 0;
// Inner diameter #8 (mm). Zero to ignore.
id8 = 0;

inner_dias = [ for (id = [id1, id2, id3, id4, id5, id6, id7, id8]) if (id>0) id ];

// Height #1 (mm). Set to zero to ignore; heights will be evenly distributed among spacers created. If you just want one height, set all others to zero.
height1 = 2;
// Height #2 (mm). Zero to ignore.
height2 = 5;
// Height #3 (mm). Zero to ignore.
height3 = 10;
// Height #4 (mm). Zero to ignore.
height4 = 0;

heights = [ for (h = [height1, height2, height3, height4]) if (h>0) h ];
echo (heights);

// Approximately how much of the Y build space to fill with spacers (mm). This indirectly picks how many of each diameter are made.
max_y = 100;

// Thickness of the tube for each spacer (mm).
shell_thickness = 2;

// Distance between each spacer (mm).
spacing = 1;

outer_dias =  [ for ( id = inner_dias ) id+shell_thickness*2 ];
x_positions = [ for ( i=[0:len(outer_dias)-1] ) (i>0?sumv(outer_dias,i-1):0)+outer_dias[i]/2+spacing*i ];

for (i = [0:len(inner_dias)-1]) {
    id = inner_dias[i];
    od = outer_dias[i];
    px = x_positions[i];
    for (py = [0:od+spacing:max_y-1]) {
        y_frac = py/max_y;
        height = heights[floor(y_frac*len(heights))];
        translate([px,py,0]) linear_extrude(height) difference() {
            circle(d=od); circle(d=id);
        }
    }
}
```


[User]
Hey, I'm trying to design something kind of silly, and I need some help with OpenSCAD. I want to make a "psychobilly" shaped egg cup – basically, I want a 3D printable egg cup that looks like a pompadour hairstyle, like you'd see on a psychobilly musician.

I have a couple of DXF files that I was playing around with (`test.dxf` and `experotationv5.dxf`) but they aren't quite what I'm after, and I'm not sure how to make this parametric. I've included my current attempts, but the idea is to have an egg-cup sized space in the center, and it should have a base large enough to stand securely.  The pompadour part should come up from the base in a smooth, rounded shape, maybe like a half-oval or a kind of teardrop-ish form.

Could you help me design a parametric OpenSCAD file that lets me control things like the overall height of the pompadour, the height of the egg cup portion, the overall diameter of the base, and maybe the thickness of the walls of the whole thing? I am not expecting to be able to do a rotate_extrude like I had tried in the commented section of my code.

I'm thinking the design should work by starting with a 2D shape for the base, then extruding it. It should include a "cavity" into which the egg sits, but it should be able to stand firmly. I'm mostly trying to make it look fun. I'd also like to try and make the pompadour look like it has a bit of a "swoop", but I don't know if that would make it too hard to print?

I'd like it if it used the `BOSL` library for the shape primitives if you think that is appropriate for this sort of design.

[Assistant]
psychobilly_form.scad:
```

 color("deeppink") translate([0, 0, 0])
 linear_extrude(center = true, height = 7, convexity = 10) import (file = "test.dxf");

/*
 color("deeppink") translate([0, 0, 0.1])
rotate_extrude(center = true, convexity = 10) import (file = "experotationv5.dxf");
 */

```


[User]
Hey, I need a custom toilet shim designed, and I'm hoping you can help me generate the OpenSCAD code for it.

Basically, it's a stepped shim, like a little staircase. I need to be able to control several things: the total length of the shim, the depth of each "step" (how far it sticks out), the height of each step, and the total width of the shim.

So, for example, imagine looking at it from the side. It would start at the bottom with a full length piece, then the next layer up would be a little shorter on each end, then the next a little shorter still and so on until you reach the top. Each layer should be the same height. All steps should have the same depth (how much each layer moves in). All layers should have the same width.

I'd like these parameters to be configurable in the OpenSCAD code:

*   `shimLength`: The total length of the shim.
*   `stepDepth`: How much each step sticks out from the layer below. This also controls the length of the step.
*   `stepHeight`: The height of each step.
*  `stepWidth`: The width of each layer, and thus the overall width of the shim.

Could you create the OpenSCAD code for me? I don't need any special libraries - just the standard OpenSCAD primitives, I think.

[Assistant]
toilet_shim.scad:
```
//
//  Toilet_shim
//
//  EvilTeach 11/2015
//
//  A quick and dirty toilet shim, cause i need one now.
//

stepDepth   =  6;   // The depth of one step of the shim
stepHeight  =  2;   // The height of one step of the shim
stepWidth   = 30;   // The width of one step, and hence the width of the shim

shimLength  = 60;   // Total Length of the shim

module draw_one_layer(length)
{
    translate([0, 0, (shimLength - length) / stepDepth * stepHeight])
        cube([length, stepWidth, stepHeight]);
}

module main()
{
    for (length=[shimLength: -stepDepth : stepDepth])
    {
        draw_one_layer(length);
    }
}

main();
```


[User]
Hey there, I'm looking to get a custom pillbox designed and printed, and I think I'd like to use OpenSCAD for it. I have a basic idea, but I'd need the design to be parametric so I can easily tweak it for different pills or uses.

I'd like the pillbox to consist of two parts: a bottom and a top, which slide together. The main body should be a simple square prism with rounded corners, and the bottom should have a slightly smaller lip that slides inside the top. I want to be able to specify the internal dimensions for the pill cavity, as well as the thickness of the walls, the amount of clearance between the top and bottom, and the overall height of the pill box.

Specifically, I'd like to define these parameters:

*   `internal_width`: The internal width and depth of the pill cavity (it should be square).
*   `internal_height`: The internal height of the pill cavity.
*   `wall_thickness`: The thickness of the walls.
*   `clearance`: The gap between the top and bottom pieces when they're together.
*   `overall_height`:  The total height of the assembled pillbox when closed.
*  `corner_radius`: the radius of rounded corners on the outer box, and inner lip, with a default of 2.
*   `label_text1`: Optional text for the first line of labeling on the bottom of the pillbox.
*   `label_text2`: Optional text for the second line of labeling on the bottom of the pillbox.
*   `label_text3`: Optional text for the third line of labeling on the bottom of the pillbox.
*  `label_size` : The size of the label text.
*  `label_height` : The height of the extrusion of the label text.

For the bottom piece, I'd like to have some text engraved on the outside bottom. The user should be able to specify the text to engrave, size of the text, and height of the extrusion.
The top piece should have a corresponding hollow section that the lip of the bottom piece slides into.

Also, I'd like the ability to set a material color for both the top and the bottom pieces, so I can visually distinguish them (like in the example you included where one was yellow and one was cyan). I'd expect parameters for both `top_color` and `bottom_color`, which default to "cyan" and "yellow".

Can you design an OpenSCAD model that uses these parameters to generate the top and bottom pillbox pieces?  I'm not worried about fancy library things, so no MCAD or BOLTS is necessary, though I'm aware of them. Just straight OpenSCAD primitives, please. It should be straightforward to modify as needed, since I'm not an OpenSCAD expert. Thank you!

[Assistant]
KarlsSinglePillbox.scad:
```
//
//  KarlsSinglePillbox.scad
//
//  EvilTeach 11/2015
//
//  This model prints a square box that can be pushed/pulled apart easily.
//  This particular one was designed to fit into a wallet change purse
//

offset         = 2.0;           // Gap between pieces

thickness      = 1.0;           // Roughly the thickness of the wall when joined together
interiorWidth  = 9.0;           // Width on the X and Y axis
interiorDepth  = interiorWidth;
interiorHeight = 5.0;           // Height on the Z axis

exteriorWidth  = interiorWidth + thickness * 2.0;   // x
exteriorDepth  = exteriorWidth;                     // y
exteriorHeight = interiorHeight + thickness;        // z

name     = "Karls";     // Name of person using the pill
message1 = "Drug";      // A small
message2 = "Stash";     // message that could be just blank

module bottom()
{
    color("yellow")

    difference()
    {
        union()
        {
            translate([offset, -exteriorWidth - offset, 0])
                cube([exteriorWidth, exteriorDepth, exteriorHeight]);

            translate([offset - thickness, -exteriorWidth - offset - thickness, 0])
                cube([exteriorWidth + thickness * 2, exteriorDepth + thickness * 2, thickness]);
        }

        translate([offset + thickness / 2.0, -exteriorWidth - offset + thickness / 2.0, thickness])
            cube([exteriorWidth  - thickness,
                  exteriorDepth  - thickness,
                  exteriorHeight - thickness]);

        rotate([0, 180, 0])
            translate([-exteriorWidth - 1, -exteriorDepth + 6, -.5])
                linear_extrude(height = 2)
                    text(name, size = 2);

        rotate([0, 180, 0])
            translate([-exteriorWidth - 1, -exteriorDepth + 3, -.5])
                linear_extrude(height = 2)
                    text(message1, size = 2);

        rotate([0, 180, 0])
            translate([-exteriorWidth - 1, -exteriorDepth + 0, -.5])
                linear_extrude(height = 2)
                    text(message2, size = 2);

    }
}

topWidth  = exteriorWidth + thickness;
topDepth  = topWidth;
topHeight = exteriorHeight;

module top()
{
    color("cyan")
    translate([0, offset, 0])
    difference()
    {
        union()
        {
            translate([offset, 0, 0])
                cube([topWidth, topDepth, topHeight]);
            translate([offset - thickness, -thickness, 0])
                cube([topWidth + thickness * 2, topDepth + thickness * 2, thickness]);
        }
        translate([offset + thickness / 2.0, thickness / 2.0, thickness])
            cube([topWidth - thickness, topDepth - thickness, topHeight]);
    }

}

module main()
{
    top();
    bottom();
}

main();
```


[User]
I need an OpenSCAD design for a parametric cable staple, something I can 3D print. I've got a design I've been messing with, but I'd like to have it rebuilt from scratch with better parametrization. I'm aiming for a plastic staple that's meant to hold down cables, ideally using small nails to secure it.

Here's what I need it to do, which will hopefully make it easier to create the OpenSCAD file:

*   **Nail Hole:** The staple should have two holes for nails. The diameter of these holes should be adjustable as a parameter. Also, it needs to include extra diameter for printer tolerance (say, around 0.6mm extra for most printers).
*   **Staple Width:** The width of the opening of the staple should be a configurable parameter. This is the space between the two nail hole sections of the staple.
*   **Staple Depth:** The depth of the staple's cut-out, basically how deep the cable sits, should also be adjustable.
*   **Staple Radius**: The staple's cutout corners should be rounded with a configurable radius. This smooths the edges to better hold the cable.
*   **Thickness**: The thickness of the plastic material around the nail hole should be controllable via a parameter.
*   **Top Thickness**: The thickness of the plastic material above the cutout should also be controllable via a parameter.

I also want to make sure it's built in a way that's easy to adjust later and all dimensions should be controlled by parameters.

Finally, I'd like this to be printable with the "feet" (nail holes) pointing upwards during printing. If this is too much of a challenge, I'm okay with it being printed on its side or something else that's more conventional.

I'm open to using any libraries that would make this process easier. I have experience with using libraries.

[Assistant]
staple.scad:
```
/* [Hidden] */
$fn=30;

/* [Parameters] */
//nail diameter plus extra for hole dialation (add 0.6 for most printers)
nail_diameter = 1.8;
//width of the staple opening
staple_spacing = 11;
//depth of the staple opening
staple_cutout_depth = 3;

/* [Advanced Parameters] */
//radius of staple cutout
staple_radius = 2;
//thickness around nail hole
thickness = 2;
//thickness above cutout
top_thickness = 2;

ct = nail_diameter+2*thickness;
translate([-staple_spacing/2-ct/2,0,staple_cutout_depth+top_thickness])
rotate([180,0,0])
difference() {
	$fn=30;
	hull() {
		cylinder(d=ct,h=staple_cutout_depth+top_thickness);
		translate([staple_spacing+ct,0 ,0 ])
		cylinder(d=ct,h=staple_cutout_depth+top_thickness);
	}
	cylinder(d=nail_diameter,h=3*(staple_cutout_depth+thickness),center=true);
	translate([staple_spacing+ct,0 ,0 ])
	cylinder(d=nail_diameter,h=3*(staple_cutout_depth+thickness),center=true);
	hull() {
		translate([ct/2+staple_radius,0,staple_cutout_depth-staple_radius])
		rotate([90,0,0])
		cylinder(r=staple_radius,h=ct+5 , center=true);
		translate([ct/2-staple_radius+staple_spacing,0,staple_cutout_depth-staple_radius])
		rotate([90,0,0])
		cylinder(r=staple_radius,h=ct+5 , center=true);
		translate([ct/2+staple_radius,0, 0])
		rotate([90,0,0])
		cylinder(r=staple_radius,h=ct+5 , center=true);
		translate([ct/2-staple_radius+staple_spacing,0,0])
		rotate([90,0,0])
		cylinder(r=staple_radius,h=ct+5 , center=true);;
	}
}

```


[User]
Hey, I'm looking for an OpenSCAD design for a customizable bracket similar to MakeBlock parts. I need to be able to specify the number of holes in the X and Y directions, the thickness of the bracket, the radius of the holes (for either tight or loose fits with M4 screws), the radius of the corners, and the distance between the hole centers (the pitch). I also need the option to create long, open slots in either the X or Y direction by specifying the row or column indices.

Specifically, I'd like these parameters to be adjustable:

*   `xholes`: The number of holes in the X direction.
*   `yholes`: The number of holes in the Y direction.
*   `thickness`: The thickness of the bracket.
*   `hole_radius`: The radius of the holes.
*   `corner_radius`: The radius of the bracket's corners.
*   `pitch`: The distance between hole centers.
*   `open_xs`: A comma-separated string of column indices to be converted into long slots (example: "0,2").
*   `open_ys`: A comma-separated string of row indices to be converted into long slots (example: "1").

The design should create a rectangular plate with the specified dimensions. The holes should be arranged in a grid pattern.  The `open_xs` and `open_ys` parameters should cause a full row or column of holes to be replaced by a slot, where the long slots are created by connecting the holes at the ends of a column or row with a hull operation.

Could you generate the OpenSCAD code for this?  Also, could the part be centered at the origin?  I'd like the final result to be a single file.  Please make sure to use the standard OpenSCAD `hull()` and `cylinder()` functions. I'm not planning to use any external libraries for this.

[Assistant]
MakeBlockBracket_v7.scad:
```
/* MakeBlock Bracket by Sam Kass 2015 */

// # holes in x direction
xholes=9;

// # holes in y direction
yholes=3;

// part thickness (MakeBlock=3)
thickness=3;

// radius of holes (MakeBlock thread=2, MakeBlock loose=2.4)
hole_radius=2.4;

// radius of part corners (MakeBlock=2)
corner_radius=2;

// distance from the center of one hole to center of next (MakeBlock=8)
pitch=8;

// Comma-separated rows to leave as long holes (eg. "0,2")
open_xs="";

// Comma-separated columns to leave as long holes (eg. "0,2")
open_ys = "";

/* [Hidden] */
$fn=50;
open=[];

open_xs_string = str("", open_xs);
open_ys_string = str("", open_ys);

d=0.01;
cr = corner_radius < 0.001 ? 0.001 : corner_radius;

module template() {
    hull() {
        translate([-(pitch/2-cr), -(pitch/2-cr), 0])
            cylinder(h=thickness, r=cr);

        translate([-(pitch/2-cr), (yholes-1)*pitch+(pitch/2-cr), 0])
            cylinder(h=thickness, r=cr);

        translate([(xholes-1)*pitch+(pitch/2-cr), -(pitch/2-cr), 0])
            cylinder(h=thickness, r=cr);

        translate([(xholes-1)*pitch+(pitch/2-cr), (yholes-1)*pitch+(pitch/2-cr), 0])
            cylinder(h=thickness, r=cr);
    }
}

module holes() {
    for (y = [0:yholes-1]) {
        for (x = [0:xholes-1]) {
            translate([x*pitch,y*pitch,-d])
                cylinder(h=thickness+2*d, r=hole_radius);
        }
    }

}

// String functions from roipoussiere's awesome "String.scad" library
//  http://www.thingiverse.com/thing:202724
function getsplit(str, index=0, char=" ") = (index==0) ? substr(str, 0, search(char, str)[0]) : getsplit(   substr(str, search(" ", str)[0]+1)   , index-1, char);
function strToInt(str, base=10, i=0, nb=0) = (str[0] == "-") ? -1*_strToInt(str, base, 1) : _strToInt(str, base);
function _strToInt(str, base, i=0, nb=0) = (i == len(str)) ? nb : nb+_strToInt(str, base, i+1, search(str[i],"0123456789ABCDEF")[0]*pow(base,len(str)-i-1));
function substr(data, i, length=0) = (length == 0) ? _substr(data, i, len(data)) : _substr(data, i, length+i);
function _substr(str, i, j, out="") = (i==j) ? out : str(str[i], _substr(str, i+1, j, out));

module open_ys() {
    if (len(open_ys_string) > 0) {
        open_ys_idxs = concat([-1],search(",", open_ys_string, num_returns_per_match=0)[0], [len(open_ys_string)]);
        echo(open_ys_idxs);
        for (i = [1:len(open_ys_idxs)-1]) {
            row = strToInt(substr(open_ys_string, open_ys_idxs[i-1]+1, open_ys_idxs[i]-open_ys_idxs[i-1]-1));
            echo(row);
            hull() {
                translate([0*pitch,row*pitch,-d])
                    cylinder(h=thickness+2*d, r=hole_radius);

                translate([(xholes-1)*pitch,row*pitch,-d])
                    cylinder(h=thickness+2*d, r=hole_radius);
            }
        }
    }
}

module open_xs() {
    if (len(open_xs_string) > 0) {
        open_xs_idxs = concat([-1],search(",", open_xs_string, num_returns_per_match=0)[0], [len(open_xs_string)]);
        echo(open_xs_idxs);
        for (i = [1:len(open_xs_idxs)-1]) {
            col = strToInt(substr(open_xs_string, open_xs_idxs[i-1]+1, open_xs_idxs[i]-open_xs_idxs[i-1]-1));
            echo(col);
            hull() {
                translate([col*pitch,0*pitch,-d])
                    cylinder(h=thickness+2*d, r=hole_radius);

                translate([col*pitch,(yholes-1)*pitch,-d])
                    cylinder(h=thickness+2*d, r=hole_radius);
            }
        }
    }
}

translate([-xholes*pitch/2+pitch/2, -yholes*pitch/2+pitch/2, 0])
difference() {
    template();

    holes();

    open_xs();
    open_ys();

}
```


[User]
Okay, I'm looking to create a parametric probe holder, similar to one I saw online but I need one that uses a bit of a different approach and uses some libraries. I need to be able to adjust the number of probes it holds, the diameter of the probe shaft and the diameter or dimensions of the probe guard. I’d also like to have options for mounting it, like a screw hole and countersink.

Specifically, I need these things to be adjustable parameters:

*   **Number of probe holders:** I want to specify how many clips are in the holder.
*   **Probe diameter:** The diameter of the probe shaft that the clip will hold.
*   **Probe guard:**  I need to specify the dimensions of the probe guard; it could be circular or rectangular, so I'll need both width and depth parameters.
*   **Mounting:** I'd like an optional screw hole to attach the holder and an optional countersink for that hole to sit the screw head flush.
*   **Overall height:**  The height of the probe clip itself.
*   **Mounting Plate Thickness:** The thickness of the base of the mount.
*   **Clasp arc:**  The angle of the clip (e.g. for a tight vs. loose fit on the probe)
*   **Clasp thickness:**  The wall thickness of the clip
*   **Clasp clearance:** The space between the clasps.
*   **Resolution:** The number of line segments in a full circle.
*   **Oversize:** A small adjustment for the clip and mount hole to compensate for variations in 3D printing.

I'd like the design to be fairly modular. It should be able to be built from separate modules: one for the clasp, one for the base, and one for the mounting hole. The base should be a simple extruded rectangle that is the correct size for the number of clasps, and the clasps should be positioned on that base according to the spacing parameters. I'd also like the option to add a center tab if the holder is very long, or force it on or off as a parameter.

The code should be done parametrically, and include named constants at the top to configure the design before compilation; no numbers should be embedded into the design. I would like to use the BOSL2 library to achieve some of this, and I would also like to use the MCAD library for standard hardware like countersinks. Specifically I'd like to use the `countersunk_hole()` module from the `MCAD/hardware.scad` file. The code should be well commented so it's clear what each section is doing.

I'd also like to be able to use a build vector to handle multiple probe diameters in a single clip (like in the reference), but I'm not sure how to do that just yet. If you can get the basic holder done parametrically, I might be able to figure out the rest!

[Assistant]
Parametric_Clasp_Probe_Holder_v0.8.14.scad:
```
// Parametric Clasp Probe Holder
// Modified by Bill Gertz (billgertz) on 13 November 2016
// Version 0.8.14
//
// Version  Author          Change
// -------  -------------   ----------------------------------------------------------------------------
//   0.6    billgertz       Developed core clip and cap modules
//
//   0.7    billgertz       Base code base from clip parametric probe holder integrated however neither
//                          guardDepth nor buildVector yet integrated
//
//   0.8    billgertz       Integrated guardDepth and buildVector
//
//   0.8.1  billgertz       First test code working
//
//   0.8.2  billgertz       Added oversize to compensate for extrusion hole undersizing
//
//   0.8.3  billgertz       Changed code from proportional object sizing to clearance sizing
//                          Removed fillet radius from all objects (made generation too slow)
//
//   0.8.4  billgertz       Fixed clasp attachment height calculation
//                          Clarified clasp clearance wording and calculation
//
//   0.8.5  billgertz       Fixed gap on right tab by adding a bit of extra nudge to left -
//                          thanks to furicks for spotting this
//                          Fixed height assumption based on radius in partial_linear_extrude
//                          by adding height as parameter
//
//   0.8.6  billgertz       Fixed cutting radius assumption on pie_wedge module by adding
//                          thickness as a parameter, probe diameter works for sub 1mm dimensions
//
//   0.8.7  billgertz       Tweaked clasp base reforcement so it works better with small clasp radii
//                          Fixed pie_slice module to nuge in correct direction
//
//   0.8.8  billgertz       Made mount hole optional by setting mount_hole to "no" -
//                          thanks to RobinSwa for inspiring double stick tape mount application
//
//   0.8.9  billgertz       Modified guard_width and _depth for a selection up to 20mm
//
//   0.8.10 billgertz       Added optional center tab and cleaned up customizer oversize parameter
//                          to step in 0.1 mm. Moved tab mount creation as child for more efficent
//                          object reuse (call mount_tab once rather than three times)
//
//   0.8.11 billgertz       Added center tab auto generate if length makes the holder too flexible
//                          (length/height > 8). Force center_tab by setting to yes or no
//
//   0.8.12 billgertz       Fixed right tab nudge based on number of tabs rather than fixed nudge,
//                          fixed value had caused gap between probe body and tab
//
//   0.8.13 billgertz       Removed oversize adjument divide by 10 from 0.8.10 fix
//
//   0.8.14 billgertz       Cleaned up warnings for undefined build_vector and mirror
//
// Customizer View
// preview[view:north, tilt:top diagnol]
//
// Local Variables and Calculations //////////////////////////////////////

/* [General] */
// Number of probe holders
count = 4;                  // [1:8]
// Diameter of probe clip (mm)
probe_diameter = 8.75;      // [1:20]
// Probe guard width (mm)
guard_width = 11.6;         // [0:20]
// Probe guard depth (mm)
guard_depth = 11.6;         // [0:20]
// Usually a probe guard is circualr so the same number is used for width and depth
//    but claw and SMD probes can have some odd probe guard shapes

/* [Mount Tabs] */
// Center Tab (auto/yes/no)
center_tab = "auto";        // [auto, yes, no]
// Hole (yes/no)
mount_hole = "yes";         // [yes, no]
// Mounting plate screw hole diameter (mm)
mount_hole_diameter = 3;    // [3:6]
// Fastener type (percent)
fastener_type = 200;        // [180:Hex Socket,190:Machine,200:Wood,300:Hex Head]
// Countersink mount hole (yes/no)
countersink = "yes";        // [yes, no]

/* [Advanced] */
// Height of probe clip (mm)
holder_height = 10;         // [10:30]
// Mount plate thickness (mm)
mount_thickness = 2;        // [2:Thin,3:Typical,4:Thick,5:Very Thick]
// Probe clip arc (degrees)
clasp_arc = 250;            // [190:Open,210:Loose,230:Typical,250:Tight,290:Close,360:Closed Ring]
// Clasp thickness (mm)
clasp_thickness = 2;        // [1:Thin,2:Typical,3:Thick]
// Clearance between clasps (mm)
clasp_clearance = 2;        // [1:Close,2:Typical,3:Wide]
// Line segments per full circle
resolution = 180;           // [30:Rough,60:Coarse,90:Fine,180:Smooth,360:Insane]
// Oversize for clasp and mount hole fit (mm)
oversize = 0.1;               // [0:0.1:1]

/* [Hidden] */
//
null_build_vector = [0, 0, 0];
///
// build_vector
//
// Build to create probe holder with different probe sizes
//    Uses a vector of probe vectors, probe vector defined as:
//        index [0]: number of clips to be made with dimensions in the rest of row (see next three lines)
//        index [1]: probe shaft diameter
//        index [2]: probe guard diameter (circular probe guard), or probe guard width (oblong probe guard)
//        index [3]: undefined (circular probe guard), or probe guard depth (oblong probe guard); see example below
//    Obviously overrides count, probe_diameter as well as guard_width and guard_depth variables above
//
//
// Remove comments and edit as needed to use. Example below are for my specific probes, edit for yours!
//
// build_vector = [
//                   [2, 8.6, 13.7],        // two at 8.6 mm with 13.7 mm circular probe guard (DMM Fixed Wire Factory Probe)
//                   [2, 9.2, 13.2],        // two at 9.2 mm with 13.2 mm circular probe guard (DMM Standard Probe)
//                   [2, 11.3, 15.7],       // two at 11.3 mm with 15.7 mm circular probe guard (DMM SMD Probe)
//                   [2, 14.7, 15.0, 36.6]  // two at 14.7 mm with 15.0 mm and 36.6 mm oblong probe guard (DMM Claw Probe)
//                ];
//
// Comment out the default build_vector below when using your own (defined above)
//
build_vector = [0, 0, 0];

// nudge for artifact reduction and complete manifolds (mm)
nudge = .05;
// probe clip radius (mm)
probeRadius = probe_diameter/2;
// mount plate hole radius (mm)
mountRadius = mount_hole_diameter/2;
// fastener sizing (ratio)
fastenerRatio = fastener_type/100;
// clearance buffer around clasp (mm)
claspBuffer = clasp_clearance/2;
// number used to invert ratio for depth clearance on countersink (1 is not deep enough)
fastener_ratio_offset = .8;
// length to height ratio where holder is deemed to flexible
too_flexible_ratio = 8;

// Notify if build_vector will be used instead of input variables count, clip_diameter, and buffer!
if (build_vector != null_build_vector) {
    echo(str("WARNING - Detected build_vector defined, building tailored probe holder; INPUT PROBE COUNT, DIAMETER AND GUARD SIZING IGNORED"));
}

if ((build_vector != null_build_vector) && (!ValidGuards(build_vector))) {
    echo(str("ERROR - Bad build_vector defined, check guard width and depth elements; CANNOT CONTINUE PROGRAM ABORTING"));
} else {
    probeHolder(
        count,            // number of probe clasps to make (1-8)
        probeRadius,      // radius of probe shank (mm)
        clasp_arc,        // arc of probe clasp without caps (degrees)
        clasp_thickness,  // probe clasp wall thickness (mm)
        claspBuffer,      // added width between clasp cells (mm)
        holder_height,    // height of the clip (mm)
        mount_thickness,  // mounting plate thickness (mm)
        guard_width,      // probe guard diameter (circular guard), probe guard width (oblong guard)
        guard_depth,      // not used (circualr guard), probe guard width (oblong guard)
        center_tab,       // create a center mount tab (auto/yes/no)
        build_vector      // tailored probe vector (see above)
    ) mountTab(holder_height, mount_thickness, mount_hole, mountRadius, fastenerRatio, countersink);
}

// Recursive Fuction to validate guard widths and depths
function ValidGuards(buildVector, i=0) =
    i < len(buildVector) ?
    (buildVector[i][2] >= buildVector[i][1]) && (GuardDepth(buildVector,i) >= buildVector[i][1]) && ValidGuards(buildVector, i+1) : true;

// Function to return best cell width
function CellWidth(buildVector, thickness, clearance, i) =
    max(buildVector[i][1] + thickness*2, buildVector[i][2]) + clearance*2;

// Recusive fuction to derive the offset for the right side mount cap
function Offset(buildVector, thickness, clearance, i=0) =
    i < len(buildVector) ?
    buildVector[i][0]*CellWidth(buildVector, thickness, clearance, i) + Offset(buildVector, thickness, clearance, i+1) : 0;

// Recursive function to derive offset for index one less than current index into the build vector
function OffsetRest(buildVector, thickness, clearance, i) =
    i > 0 ?
    buildVector[i-1][0]*CellWidth(buildVector, thickness, clearance, i-1) + OffsetRest(buildVector, thickness, clearance, i-1) : 0;

// Fuction to return circular depth or oblong probe guard depth
function GuardDepth(buildVector, i) =
    buildVector[i][3] == undef ?
    buildVector[i][2] : buildVector[i][3];

module pie_slice(radius, height, angle, step) {

    translate(v=[0, 0, -nudge]) for(theta = [0:step:angle-step]) {
        linear_extrude(height = height + nudge*2)
           polygon( points = [[0, 0], [radius*cos(theta+step), radius*sin(theta+step)], [ radius*cos(theta), radius*sin(theta)]]);
    }

}

module partial_rotate_extrude(angle, radius, thickness, height, convexity, resolution) {

    intersection () {
        rotate_extrude(convexity=convexity,$fn=resolution) translate([radius, 0, 0]) children(0);
        translate(v=[0, 0, 0]) pie_slice(radius + thickness*2, height, angle, angle/10);
    }

}

module probeHolder(count, claspRadius, claspArc, claspThickness, claspBuffer, height, thickness, guardWidth, guardDepth, center_tab, buildVector) {

    cellWidth = max((claspRadius + claspThickness)*2, guardWidth) + claspBuffer*2;

    // if buildVector declared calculate right mount cap placement offset as well as cell depth or use input numbers if undef
    rightOffset = (buildVector != null_build_vector) ? Offset(buildVector, claspThickness, claspBuffer) : count*cellWidth;

    union() {

        total_clasp_length = rightOffset + height*2 - nudge*(count/2 + 1);
        //create mount tabs
        # children(0);
        translate(v=[total_clasp_length, 0, 0]) mirror([1,0,0]) children(0);

        //add center tab if requested
        if ((center_tab == "yes") || ((center_tab == "auto") && (total_clasp_length/height > too_flexible_ratio))) {
            translate(v=[(total_clasp_length - height)/2, height*2 - nudge, 0]) rotate(a=[0,0,-90], v=[height*3/2, 0, 0]) children(0);
        }

        // create probe clips by build vector if defined otherwise use input
        if (buildVector != null_build_vector) {
            for (i = [0:len(buildVector)-1]) {
                width = CellWidth(buildVector, claspThickness, claspBuffer, i);
                placeCopies(buildVector[i][0], height + OffsetRest(buildVector, claspThickness, claspBuffer, i) - nudge, width)
                    probeClasp(claspArc, buildVector[i][1]/2, claspThickness, claspBuffer, GuardDepth(buildVector, i), width + nudge*2, height, thickness);
            }
        } else placeCopies(count, height, cellWidth - nudge) probeClasp(claspArc, probeRadius, claspThickness, claspBuffer, guardDepth, cellWidth + nudge*2, height, thickness);
    }

}

module placeCopies(count, initialOffset, indexedOffset) for (i= [0:count-1]) translate(v=[initialOffset + indexedOffset*i, 0, 0]) children(0);

module probeClasp(arc, probeRadius, claspThickness, claspBuffer, guardDepth, width, height, thickness) {

    claspOffset = thickness + max(probeRadius + oversize, guardDepth/2 + claspBuffer - oversize);
    widthOffset = width/2 - probeRadius;

    union() {

        // create base
        cube(size=[width, height, thickness]);

        // create clasp to base reenforcement
        difference () {
            translate(v=[widthOffset - claspThickness*3/4, 0, 0]) cube(size=[probeRadius*2 + claspThickness*3/2, height, thickness + guardDepth/2 + oversize]);
            translate(v=[width/2, height + nudge, claspOffset]) rotate(a=[90, 0, 0]) cylinder(r=probeRadius + claspThickness/2 + oversize, h=height + nudge*2);
        }

        // create clasp
        translate(v=[width/2, height, claspOffset]) rotate(a=[90, 0, 0]) rotate(a=[0, 0,-(90+arc/2)])  {
            union() {

                // create arc of clasp
                partial_rotate_extrude(arc, probeRadius + oversize, thickness, height, 4, resolution) square([claspThickness, height]);

                // don't put on clip end caps if the arc is too big to add them
                if (arc < 350) union() {
                        translate(v=[probeRadius + claspThickness/2 + oversize, 0, 0]) cylinder(h=height, r=claspThickness/2, $fn=resolution);
                        rotate(a=[0, 0, arc]) translate(v=[probeRadius + claspThickness/2 + oversize, 0, 0]) cylinder(h=height, r=claspThickness/2, $fn=resolution);
                }

            }
        }
    }

}

module mountTab(tabDepth, tabHeight, mount_hole, mountRadius, fastenerRatio, counterSink) {

    clearance = mountRadius*(fastenerRatio - fastener_ratio_offset);

    difference () {
        union() {
            // create end tab
            translate(v=[tabDepth/2, 0, 0]) cube(size=[tabDepth/2, tabDepth, tabHeight], center=false);
            // create round at end of tab
            translate(v=[tabDepth/2, tabDepth/2, tabHeight/2]) cylinder(r=tabDepth/2, h=tabHeight, center=true, $fn=resolution);
        }

        if (mount_hole == "yes") {
            // remove mounting hole
            translate(v=[tabDepth/2, tabDepth/2, tabHeight*(1+nudge)/2]) cylinder(r=mountRadius + oversize, h=tabHeight*(1+2*nudge), center=true, $fn=resolution);
            // remove countersink if countersink requested
            if (counterSink == "yes") {
                translate(v=[tabDepth/2, tabDepth/2, tabHeight + nudge]) cylinder(r1=mountRadius + oversize, r2=(mountRadius + oversize)*fastenerRatio, h=clearance, center=true, $fn=resolution);
            }
        }
    }
}
```


[User]
I'm looking to create some custom drawer dividers with a curved, sloping shape, kind of like a sine wave that's been flattened out at the bottom. The goal is to have these dividers within a drawer, creating individual bins that allow easy access to small parts, like screws.

Here are the parameters I have in mind:

*   **Number of bins:** I want to be able to specify how many of these curved bins I need.
*   **Drawer dimensions:** I need to set the overall length and width of the drawer the dividers will fit into.
*   **Divider height:** I want to control how tall the top of the dividers should be.
*   **Divider thickness:** I need to be able to set the thickness of the dividers themselves. This should be a multiple of the printer nozzle size.
*   **"Bowlness":** I need a parameter to adjust how much the sine wave is flattened at the bottom. It should go from a full sine wave to pretty flat. I'm thinking a numeric value would be good.

Basically, the dividers will be a 2D shape that gets extruded to the drawer's width, like a wall. I'd also like the design to include the 2d graphing library by polymaker (http://www.thingiverse.com/thing:11243/#files). Can you generate the necessary OpenSCAD file for me?

[Assistant]
cosine_drawer_bins.scad:
```
// Number of curvy bins to produce
n_bins=5; // [1:20]

// How long is the drawer (mm)?
length = 135;

// How wide is the drawer (mm)?
width = 51;

// How tall should the top of the dividers be (mm)?
height = 28;

// How thick are the dividers (mm)? A multiple of your nozzle size might be good, but whatever.
thickness = 1.2;

// We print it on its side, but for previewing, it's helpful to see it in the orientation you'll actually use it. SET THIS TO FALSE BEFORE GENERATING! (Or if you leave it to true, rotate the model in your slicer before printing.)
rotate_for_preview = false;

// How slopey the walls should be. Alternately, how not-sine-wavey it should be. This is a fuzzy number.
bowlness = 3; // [0:10]
bowlness_exp = pow(2,bowlness);

// This design includes polymaker's 2d graphing library
// http://www.thingiverse.com/thing:11243/#files
// ======== START OF 2dgraphing.scad =============
// These functions are here to help get the slope of each segment, and use that to find points for a correctly oriented polygon
function diffx(x1, y1, x2, y2, th) = cos(atan((y2-y1)/(x2-x1)) + 90)*(th/2);
function diffy(x1, y1, x2, y2, th) = sin(atan((y2-y1)/(x2-x1)) + 90)*(th/2);
function point1(x1, y1, x2, y2, th) = [x1-diffx(x1, y1, x2, y2, th), y1-diffy(x1, y1, x2, y2, th)];
function point2(x1, y1, x2, y2, th) = [x2-diffx(x1, y1, x2, y2, th), y2-diffy(x1, y1, x2, y2, th)];
function point3(x1, y1, x2, y2, th) = [x2+diffx(x1, y1, x2, y2, th), y2+diffy(x1, y1, x2, y2, th)];
function point4(x1, y1, x2, y2, th) = [x1+diffx(x1, y1, x2, y2, th), y1+diffy(x1, y1, x2, y2, th)];
function polarX(theta) = cos(theta)*r(theta);
function polarY(theta) = sin(theta)*r(theta);

module nextPolygon(x1, y1, x2, y2, x3, y3, th) {
	if((x2 > x1 && x2-diffx(x2, y2, x3, y3, th) < x2-diffx(x1, y1, x2, y2, th) || (x2 <= x1 && x2-diffx(x2, y2, x3, y3, th) > x2-diffx(x1, y1, x2, y2, th)))) {
		polygon(
			points = [
				point1(x1, y1, x2, y2, th),
				point2(x1, y1, x2, y2, th),
				// This point connects this segment to the next
				point4(x2, y2, x3, y3, th),
				point3(x1, y1, x2, y2, th),
				point4(x1, y1, x2, y2, th)
			],
			paths = [[0,1,2,3,4]]
		);
	}
	else if((x2 > x1 && x2-diffx(x2, y2, x3, y3, th) > x2-diffx(x1, y1, x2, y2, th) || (x2 <= x1 && x2-diffx(x2, y2, x3, y3, th) < x2-diffx(x1, y1, x2, y2, th)))) {
		polygon(
			points = [
				point1(x1, y1, x2, y2, th),
				point2(x1, y1, x2, y2, th),
				// This point connects this segment to the next
				point1(x2, y2, x3, y3, th),
				point3(x1, y1, x2, y2, th),
				point4(x1, y1, x2, y2, th)
			],
			paths = [[0,1,2,3,4]]
		);
	}
	else {
		polygon(
			points = [
				point1(x1, y1, x2, y2, th),
				point2(x1, y1, x2, y2, th),
				point3(x1, y1, x2, y2, th),
				point4(x1, y1, x2, y2, th)
			],
			paths = [[0,1,2,3]]
		);
	}
}

module 2dgraph(bounds=[-10,10], th=2, steps=10, polar=false, parametric=false) {
	step = (bounds[1]-bounds[0])/steps;
	union() {
		for(i = [bounds[0]:step:bounds[1]-step]) {
			if(polar) {
				nextPolygon(polarX(i), polarY(i), polarX(i+step), polarY(i+step), polarX(i+2*step), polarY(i+2*step), th);
			}
			else if(parametric) {
				nextPolygon(x(i), y(i), x(i+step), y(i+step), x(i+2*step), y(i+2*step), th);
			}
			else {
				nextPolygon(i, f(i), i+step, f(i+step), i+2*step, f(i+2*step), th);
			}
		}
	}
}
// ======== END OF 2dgraphing.scad =============

function f(x) = height*pow(cos(n_bins*360/length*x)/2+0.5, bowlness_exp);

rotate([rotate_for_preview?90:0,0,0]) linear_extrude(width) 2dgraph([0, length], thickness, steps=n_bins*length*2);

```


[User]
Okay, I need an OpenSCAD design for a series of circle templates. I want to be able to specify the size in either millimeters or inches, and I want them to have angle markings every 15 degrees.

Here's the specifics:

*   **Units:** The design should be parametric to allow the user to choose between millimeters or inches for specifying the inner diameter.
*   **Inner Diameter (mm):** If using millimeters, I want to specify an inner diameter, and the outer diameter should automatically be 20mm larger.
*   **Inner Diameter (inches):** If using inches, I want to specify an inner diameter in inches and a 1/16th inch fraction of an inch. The outer diameter should be automatically 1 inch larger than the specified diameter. This means I'll need two parameters to control the diameter in inches - an integer number of inches and an integer for the number of 1/16ths of an inch.
*   **Angle Markers:** There should be a small rectangular mark at 15-degree intervals around the circumference of the template. These should extend outwards from the circumference of the *inner* circle.
*   **Thickness:** The main body of the template should have a thickness of 3mm, with the markings being 1mm thick, starting just below the top surface and extending out 1 mm.

I'd prefer for you to write a single, parametric SCAD file that does it all, if that's possible.

I'm not expecting to use any specific libraries in the design.

[Assistant]
circletemplate.scad:
```

unit="first";  // [first:mm,second:inch]

//outer diameter is 20mm more
innerDiametermm=0; //[0:180]

//outer diameter is 1 inch more
innerDiameterinch=0; //[0:7]
//1/16 inch
innerDiameter16stinch=0; //[0:15]

makePart();

module makePart(){
    if(unit=="first"){
        smm(innerDiametermm);
    }
    else{
        sinch(innerDiameterinch,innerDiameter16stinch);
    }
}

module smm(d){
    difference(){
        cylinder(1,d/2+10,d/2+10,$fn=360);
        translate([0,0,-1])
         cylinder(3,d/2,d/2,$fn=360);

        }

    for(i=[0:15:345])
    rotate(a=i,v=[0,0,1])
    translate([-0.5,d/2+1,0.99])
    cube([1,8,1]);
}

module sinch(da,db){
    difference(){
        cylinder(1,(da+db/16)*25.4/2+12.7,(da+db/16)*25.4/2+12.7,$fn=360);
        translate([0,0,-1])
         cylinder(3,(da+db/16)*25.4/2,(da+db/16)*24.4/2,$fn=360);

        }

    for(i=[0:15:345])
    rotate(a=i,v=[0,0,1])
    translate([-0.5,(da+db/16)*25.4/2+1,0.99])
    cube([1,10,1]);
}

```


[User]
I'm looking to create a customizable lid for open cans, like the kind you'd see on pet food or tomato sauce cans. I'd like to be able to adjust several parameters to fit different sized cans and my own preferences. Here's what I have in mind:

First, I need to be able to set the thickness of the lid's walls, probably somewhere between 1 and 2 mm, with increments of 0.1mm. The lid will have an overhanging lip, and I want to control the height of that lip; maybe let's say from 1 to 10 mm. I need to define the inner diameter of the lid, which will sit inside the can, and this should be adjustable from, say, 10 to 250mm. The outer diameter should be automatically calculated from the inner diameter and thickness.

Next, I'd like to add a label to the top of the lid, and this label should be configurable. The label will have two lines of text. I need to be able to specify the text for the first line and text for the second line separately. Also, I want to control the overall size of the text, maybe with a scaling factor between 0 and 10. If I only enter text for the first line of the label I want it centered, vertically. The lid's text needs to be extruded to engrave into the lid slightly.

Finally, I’d like to control the resolution of the curves when the lid is rendered, so the roundness of the cylinder. This should be adjustable with a roundness factor that can be set from say 3 to 100.

I'm not too familiar with libraries for OpenSCAD so if there are standard libraries that can help with text or similar, that would be useful. I haven't looked at any libraries in particular, though. Can you please generate the OpenSCAD file(s) for this, including all of the described parameters as variables?

[Assistant]
labeled_can_lid.scad:
```
// Thickness of walls in mm
thickness = 1.5; //[1:0.1:2]
// The height of the overhanging lip
lid_height = 5; //[1:10]
// The diameter of the inside of the lid in millimeters
lid_inside_diameter = 85; //[10:250]
// The diameter of the entire lid in millimeters
lid_outside_diameter = lid_inside_diameter + (thickness * 2);
// The text for the first line of the label
label_text_line1 = "Can";
// The text for the second line of the label
label_text_line2 = "Lid";
// The size of the label text scaling
label_size = 2; //[0:0.1:10]
// Resolution for the cylinders--higher is rounder
roundness = 100; //[3:100]

module label(the_text) {
  scale([label_size,label_size,1])
    linear_extrude(height=thickness/2)
    text(the_text, halign="center", valign="center");
}

module lid() {
  translate([0,0,lid_height / 2]) {
    difference() {
      cylinder(h=lid_height, d=lid_outside_diameter, center=true, $fn=roundness);

      translate([0,0,thickness])
        cylinder(h=lid_height, d=lid_inside_diameter, center=true, $fn=roundness);
      }
   }
}

module lid_engraved() {
  difference() {
    lid();

    mirror(0,0,180)
    if(label_text_line2 == "") {
      label(label_text_line1);
    } else {
      translate([0,lid_inside_diameter * 0.15,0])
        label(label_text_line1);

      translate([0,lid_inside_diameter * -0.15,0])
        label(label_text_line2);
    }
  }
}

lid_engraved();
```