[User]
Hi, I'm looking to create a parametric speaker grill design in OpenSCAD, and I need a little help getting started. I've got a specific set of requirements, and I'd like the design to be flexible enough to work with different speaker sizes.

Essentially, I need a circular grill with a honeycomb pattern in the center, a text label on top of the honeycomb and mounting holes on the perimeter. I'd also like a test piece for the mounting holes.

Here’s a breakdown of the key features and parameters I need:

**General Parameters**

*   `NAME`:  A string for the text label on top of the honeycomb, e.g., "Charlotte".
*   `OUTER`: The overall diameter of the grill.
*   `N`:  The number of honeycomb cells in the radius, e.g., 10.
*   `DIA`: The diameter of each individual honeycomb cell.
*   `WALL`: The thickness of the walls of each honeycomb cell.
*    `BORDER_DIA`: The diameter of the "flower" circles at the perimeter.
*    `FONTNAME`: The name of the font to use for the `NAME` label.
*   `FONTSTYLE`: The style of the font to use, e.g., "Regular", "Bold"
*   `FONT_SIZE`: The font size of the `NAME` label.
*   `FONT_THICKNESS`: The thickness of the text.
*   `GRID_THICKNESS`: The thickness of the honeycomb grid.
*   `M3_HEAD_BOTTOM`: The distance from the top of the mounting hole to the bottom of the countersink.
*   `M3_HEAD_DIA`: The diameter of the countersink for the M3 screw head.
*   `M3_HOLE_DIA`: The diameter of the through-hole for the M3 screw.

**Honeycomb Grid:**

*   The main design element is a honeycomb grid with a specific number of cells within a circular area.
*   The grid should be created using a `honeycombCircle` module.
*   The grid's thickness is given by `GRID_THICKNESS`.

**Text Label:**

*   The `NAME` parameter should be placed on top of the honeycomb grid.
*   The text should be created using the font specified by `FONTNAME`, `FONTSTYLE` and have the size and thickness specified by `FONT_SIZE` and `FONT_THICKNESS`.

**Mounting Holes:**

*   I need 4 mounting holes spaced evenly around the circumference of the grill.
*   The holes need to have countersinks for M3 screws, and the size and position of the countersink and through hole are defined by `M3_HEAD_BOTTOM`, `M3_HEAD_DIA`, and `M3_HOLE_DIA`, respectively.
*   The mounting holes should be generated using the `m3hole` module.

**Perimeter Decoration:**
    * The perimeter should be decorated with a number of circles whose diameter is `BORDER_DIA`. These should be distributed around the perimeter.

**M3 Test Piece:**

*   I also need a module called `m3Test` to generate a single test piece for verifying the M3 mounting hole dimensions.
*   It should be a sphere with a mounting hole and a cube cut from the bottom.

**Modules:**

I'd like the code to use the following modules:

*   `hexagon(l)`: Creates a hexagon with sides of length `l`.
*   `hexagon_border(inner, outer)`: Creates a hexagon with a border.
*   `honeycomb(x, y, dia, wall)`: Creates a honeycomb grid.
*  `ball(inner, outer)`: Creates a sphere with a hollow interior.
*   `honeycombBall(n, dia, wall)`: Creates a sphere containing a honeycomb grid.
*    `honeycombCircle(n, dia, wall)`: Creates a circle containing a honeycomb grid.
*   `2dflower(n, dia, fDia)`: Creates a ring of circles in 2D.
*   `3dflower(n, dia, fDia)`: Creates a ring of spheres in 3D.
*   `m3hole()`: Creates a countersunk hole for an M3 screw.
*   `m3Test()`: Creates a test piece for the M3 mounting holes.
*   `speakerGrid()`: Creates the main speaker grill.

**Conditional Rendering:**

*   The script should have a variable called `MAKE_M3_TEST`, that will render the test piece (`m3Test`) if set to `"yes"`, and the speaker grid (`speakerGrid`) otherwise.

I think that covers all the major points. Let me know if you need any clarification! No external libraries are required.

[Assistant]
speaker_grid.scad:
```

$fs=0.5;
$fa=6;

NAME = "Charlotte";
OUTER = 96;
N = 10;
DIA = 15;
WALL = 3;
BORDER_DIA = 15;
FONTNAME = "Pacifico";
FONTSTYLE = "Regular";

FONT_SIZE = 12;
FONT_THICKNESS = 5;
GRID_THICKNESS = 3;

M3_HEAD_BOTTOM = 4.5;
M3_HEAD_DIA = 6.5;
M3_HOLE_DIA = 3.8;

MAKE_M3_TEST = "no"; // [yes,no]

FONT = str(FONTNAME,":style=",FONTSTYLE);
echo("FONT:",FONT);

module hexagon(l)  {
	circle(d=l, $fn=6);
}

module hexagon_border(inner, outer)
{
  difference()
  {
    hexagon(outer);
    hexagon(inner);

  }
}

module honeycomb(x, y, dia, wall)
{
  innerDia = dia-(2*wall);
  midDia = dia - wall;

  outerHeight = 2 * ((dia/4)/tan(30));
  innerHeight = 2* ((innerDia/4)/tan(30));
  midHeight = 2* ((midDia/4)/tan(30));

  outerEdge = outerHeight/2 / cos(30);
  innerEdge = innerHeight/2 / cos(30);
  midEdge = midHeight/2 / cos(30);

  minWall = wall * cos(30);

  xStep = midDia + midEdge;
  yStep = outerHeight-minWall;

  for (yOffset = [0:yStep:y+yStep], xOffset = [0:xStep:x+xStep]) {
			translate([xOffset, yOffset]) {
				hexagon_border(innerDia, dia);
			}
			translate([xOffset +midDia - midEdge/2 , yOffset + outerHeight/2 - wall/2]) {
				color("blue") hexagon_border(innerDia,dia);
			}
		}

}

module ball(inner, outer)
{

  difference()
  {
    sphere(d=outer);
    sphere(d=inner);
  }
}

module honeycombBall(n, dia, wall)
{

  d = dia;
  w = wall;
  dMid = d -w;
  outerHeight = 2 * ((dia/4)/tan(30));

  outer = dMid + ( (n-1) * (dMid - dMid/4)) + w;

  echo("OUTER:",outer);

  intersection()
  {
    linear_extrude(height = outer, center = true, convexity = 10, twist = 0, $fn = 100)
      translate([d/2,outerHeight/2,0])
        honeycomb(outer,outer,d,w);
    translate([outer/2, outer/2, 0])
      ball(outer-w, outer);
  }

}

module honeycombCircle(n, dia, wall)
{
  d = dia;
  w = wall;
  dMid = d -w;

  outerHeight = 2 * ((dia/4)/tan(30));

  outer = dMid + ( (n-1) * (dMid - dMid/4)) + w;

  echo("OUTER:",outer);

  translate([-outer/2, -outer/2,0])
  {
    intersection()
    {
      translate([d/2,outerHeight/2,0])
          honeycomb(outer,outer,d,w);
      translate([outer/2, outer/2, 0])
         circle(d=outer);
    }
  }
}

function sinr(x) = sin(180 * x / PI);
function cosr(x) = cos(180 * x / PI);

module 2dflower(n, dia, fDia)
{
  r = dia/2;

  delta = (2*PI)/n;

  for (step = [0:n-1]) {
    translate([r * cosr(step*delta), r * sinr(step*delta), 0])
      circle(d=fDia);
  }

}

module 3dflower(n, dia, fDia)
{
  r = dia/2;

  delta = (2*PI)/n;

  for (step = [0:n-1]) {
    translate([r * cosr(step*delta), r * sinr(step*delta), 0])
      sphere(d=fDia);
  }

}

module m5hole()
{
  cylinder(h=100, d=5.8, center=true);
  translate([0,0,3])
    cylinder(h=100, d=8.6, center=false);
}

module m3hole()
{
  cylinder(h=2*BORDER_DIA, d=M3_HOLE_DIA, center=true);
  translate([0,0,M3_HEAD_BOTTOM])
    cylinder(h=2*BORDER_DIA, d=M3_HEAD_DIA, center=false);
}

module m3Test()
{
  difference() {
    difference(){
      sphere(d=BORDER_DIA);
      m3hole();
    }
    translate([0,0,-BORDER_DIA/2])
      cube([2*BORDER_DIA,2*BORDER_DIA,BORDER_DIA], center=true);
  }
}

module speakerGrid()
{
  color("Magenta")
  difference()
  {
    union() {

      {
        difference() {
          union() {
            linear_extrude(FONT_THICKNESS)
                text(text=NAME, font=FONT,/*font="Purisa, Bold",*/ size=FONT_SIZE, halign="center", valign="center");
            linear_extrude(GRID_THICKNESS) {
              honeycombCircle(N, DIA, WALL);
            }

            3dflower(32, OUTER, BORDER_DIA);
          }
          union(){
            for (angle=[45, 135, 225, 315]){
              translate([OUTER/2 * cos(angle), OUTER/2 * sin(angle), 0])
                m3hole();
            }

          }
        }

      }
    }
    translate([0, 0, -OUTER/2])
      cube([2*OUTER, 2*OUTER, OUTER], center = true);

  }
}

if (MAKE_M3_TEST == "yes") {
  m3Test();
} else {
  speakerGrid();
}
```


[User]
Hey, I'm looking to get a custom box designed for my KeyForge decks, and I'd like it to be parametric so I can tweak it as needed. I've been using these top loaders for my Archon cards, and I think it'd be super cool if they could act as the lid of the box. That way, I can just look at the lid and know which deck it is.

Specifically, I need a box that can hold a 36-card KeyForge deck. I've seen designs on Thingiverse, but they aren't really customizable in the way I need. I want to be able to adjust the size of the box based on whether the cards are sleeved or not, change the thickness of the box bottom, add text to the side, and also add a custom logo to the back.

Here's a breakdown of what I have in mind:

*   **Basic Shape:** The box should be rectangular with rounded corners.
*   **Card Storage:** There should be a cavity inside the box to fit a KeyForge deck.
    *   **Unsleeved Dimensions:** Initially, the target would be 63mm wide, 89.5mm tall and 13mm thick for unsleeved cards.
    *   **Sleeved Dimensions:** I'd need parameters to control the width, height and thickness of the deck slot. I've seen suggestions of 67mm x 92mm x 23mm for sleeved cards, but I'd like the flexibility to adjust this if needed.
*   **Top Loader Lid:** The box needs to have a place on top for a standard top loader (Ultra Pro Regular #81222 is the one I'm using).
    *   The top loader itself measures 77mm wide, 101mm tall with 2mm radius rounded corners, and I'm using ones that are 1.6mm thick.
*   **Top Loader Fit:** The top loader should sit in a recess and be snug, but not too tight. There should be a lip around the top loader recess that allows it to sit flush on the top of the box. It should not extend beyond the box.
*   **Box Bottom Thickness:** The bottom of the box should be parametric. I'd like to start with 2 layers thickness, with a first layer thickness of 0.27mm and remaining layers of 0.18mm.
*   **Top Thickness:** The thickness above the top loader also needs to be parameterized. I'm thinking 2 layers of 0.18mm.
*   **Side Walls:** The thickness around the side of the top loader should also be parameterized, with a default of 1.5mm.
*   **Side Text:** I want to add text to the side of the box, something like "#keyforge", with a size, thickness, and font that can be changed. I'm thinking the default font should be Georgia, with a size of 8 and thickness of 0.45.
*   **Back Decal:** It would be neat to have the KeyForge key symbol on the inside back of the box. I could provide a DXF file for this, if needed. I'd like a parameter for its height and placement.
*   **Thumb Hole:** I'd like a thumb hole on the front of the box for easy card removal. The hole should be a semi-circle shape with a default radius of 10mm, a thickness of 2mm, and an offset of 4mm from the front edge.
*   **Corner Radius:** The outer corners of the box should be rounded with a default radius of 1.2mm, and the inner corners of the top loader slot should have a 1.5mm radius.
*   **Brace Supports:** I need small support pieces on the left and right sides of the top loader area. These will sit on top of the card area and should be 10mm wide and 0.96mm high, with a thickness that's half the top loader thickness. They'll have an offset from the side, maybe 15mm.
*   **Layer Height:** I'd like to use a 0.18mm layer height for most layers, with the first layer at 0.27mm.

I’m not very familiar with OpenSCAD, but I do know that it uses libraries. I’m not sure what would be helpful here, but I imagine a hull might be useful, as well as linear extrudes. I'm looking for a parametric OpenSCAD file(s) to start with that incorporate all of the above. I'd like the code to be well-commented, as I plan to learn from it. Thanks!

[Assistant]
KeyForge_Box.scad:
```
// preview[view:south west, tilt:top diagonal]

/* [Layer Parameters] */
FIRST_LAYER_HEIGHT = 0.27;
LAYER_HEIGHT = 0.18;

function roundToLayers(h) = ceil(h / LAYER_HEIGHT) * LAYER_HEIGHT;

// Thickness in layers of the back of the box
BOTTOM_LAYERS = 2; // [1:10]
BOTTOM_THICKNESS = FIRST_LAYER_HEIGHT + LAYER_HEIGHT * (BOTTOM_LAYERS - 1);

// Number of layers above the top loader bevel
TOP_LAYERS = 2; // [1:10]
TOP_THICKNESS = TOP_LAYERS * LAYER_HEIGHT;

// Thickness around the sides of the top loader in millimeters
SIDE_WALL_THICKNESS = 1.5;

/* [Deck] */

// Sleeves
// DECK_WIDTH = 67.5;
// DECK_HEIGHT = 92;
// DECK_THICKNESS = roundToLayers(23);

// Width of the deck in mm
DECK_WIDTH = 63; // [63:0.5:70]

// Height of the deck in mm
DECK_HEIGHT = 89.5; // [89.5:0.5:95]

// How tall 36 card are in mm
DECK_TARGET_THICKNESS = 13; // [13:0.5:26]
DECK_THICKNESS = roundToLayers(DECK_TARGET_THICKNESS);

/* [Top Loader] */

TOP_LOADER_TARGET_THICKNESS = 1.6;
TOP_LOADER_THICKNESS = roundToLayers(TOP_LOADER_TARGET_THICKNESS);
TOP_LOADER_WIDTH = 77;
TOP_LOADER_HEIGHT = 101;
TOP_LOADER_CORNER_RADIUS = 2;

/* [Text] */
SIDE_TEXT = "#keyforge";
SIDE_TEXT_THICKNESS = 0.45;
SIDE_TEXT_FONT = "Georgia";
SIDE_TEXT_SIZE = 8;

/* [Hidden] */
$fa=5;
$fs=0.05;

LIP_WALL_THICKNESS = 3;

INNER_LIP_ANGLE = 55;
INNER_LIP_THICKNESS = roundToLayers(
  tan(90 - INNER_LIP_ANGLE) * (LIP_WALL_THICKNESS - SIDE_WALL_THICKNESS)
);

TOP_LOADER_BRACE_WIDTH = 10;
TOP_LOADER_BRACE_HEIGHT = 0.96;
TOP_LOADER_BRACE_THICKNESS = TOP_LOADER_THICKNESS / 2;
TOP_LOADER_BRACE_OFFSET = 15;

THUMB_HOLE_THICKNESS = 2;
THUMB_HOLE_RADIUS = 10;
THUMB_HOLE_OFFSET = 4;

OUTER_WIDTH = TOP_LOADER_WIDTH + 2 * SIDE_WALL_THICKNESS;
OUTER_HEIGHT = TOP_LOADER_HEIGHT + 2 * SIDE_WALL_THICKNESS;
OUTER_THICKNESS =
  BOTTOM_THICKNESS +
  DECK_THICKNESS +
  TOP_LOADER_THICKNESS +
  INNER_LIP_THICKNESS +
  TOP_THICKNESS;

HOLE_WIDTH = OUTER_WIDTH - 2 * LIP_WALL_THICKNESS;
HOLE_HEIGHT = OUTER_HEIGHT - 2 * LIP_WALL_THICKNESS;
HOLE_CORNER_RADIUS = 1.5;
SLIDE_EXTENSION = 20;

OUTER_CORNER_RADIUS = 1.2;

// Set to true to have the key logo on the inside back. Thingiverse customizer
// doesn't support importing DXF files.
DECAL = false;
DECAL_HEIGHT = roundToLayers(0.3);
DECAL_OFFSET_H = -28;
DECAL_OFFSET_V = -20;

CORNERS = [[1, 1], [-1, 1], [-1, -1], [1, -1]];

module outer_case() {
  w_offset = OUTER_WIDTH / 2 - OUTER_CORNER_RADIUS;
  h_offset = OUTER_HEIGHT / 2 - OUTER_CORNER_RADIUS;

  linear_extrude(OUTER_THICKNESS) {
    hull() {
      for (c = CORNERS) {
        translate([c[0] * w_offset, c[1] * h_offset]) {
          circle(r = OUTER_CORNER_RADIUS);
        }
      }
    }
  }
}

module deck_cavity() {
  translate([-DECK_WIDTH / 2, -DECK_HEIGHT / 2]) {
    cube([DECK_WIDTH, DECK_HEIGHT, 1000]);
  }
}

module hole_2d() {
  translate([-HOLE_WIDTH / 2, HOLE_HEIGHT / 2]) {
    translate([HOLE_CORNER_RADIUS, -HOLE_CORNER_RADIUS]) {
      circle(r=HOLE_CORNER_RADIUS);
    }

    translate([HOLE_WIDTH - HOLE_CORNER_RADIUS, -HOLE_CORNER_RADIUS]) {
      circle(r=HOLE_CORNER_RADIUS);
    }

    translate([0, -TOP_LOADER_HEIGHT - SLIDE_EXTENSION + 1]) {
      square([
        HOLE_WIDTH,
        1]);
    }
  }
}

module top_loader() {
  union() {
    hull() {
      translate([
          -TOP_LOADER_WIDTH / 2,
          -TOP_LOADER_HEIGHT / 2]) {
        translate([TOP_LOADER_CORNER_RADIUS, TOP_LOADER_HEIGHT - TOP_LOADER_CORNER_RADIUS]) {
          cylinder(r=TOP_LOADER_CORNER_RADIUS, h=TOP_LOADER_THICKNESS);
        }

        translate([TOP_LOADER_WIDTH - TOP_LOADER_CORNER_RADIUS, TOP_LOADER_HEIGHT - TOP_LOADER_CORNER_RADIUS, 0]) {
          cylinder(r=TOP_LOADER_CORNER_RADIUS, h=TOP_LOADER_THICKNESS);
        }

        translate([0, -SLIDE_EXTENSION]) {
          cube([
            TOP_LOADER_WIDTH,
            100,
            TOP_LOADER_THICKNESS]);
        }
      }

      translate([0, 0, TOP_LOADER_THICKNESS]) {
        linear_extrude(INNER_LIP_THICKNESS) {
          hole_2d();
        }

      }
    }

    translate([0, 0, INNER_LIP_THICKNESS]) {
      linear_extrude(4) {
        hull() {
          hole_2d();
        }
      }
    }
  }
}

module key() {
  linear_extrude(height = DECAL_HEIGHT, convexity = 20) {
    translate([DECAL_OFFSET_H, DECAL_OFFSET_V]) {
      scale(0.25) {
        import(file = "vector keyforge key.dxf");
      }
    }
  }
}

union() {
  difference() {
    outer_case();

    translate([0, 0, BOTTOM_THICKNESS]) {
      deck_cavity();

      translate([0, 0, DECK_THICKNESS]) {
        top_loader();
      }
    }

    translate([0, -OUTER_HEIGHT / 2 + THUMB_HOLE_THICKNESS, BOTTOM_THICKNESS + DECK_THICKNESS + THUMB_HOLE_OFFSET]) {
      rotate([90, 0, 0]) {
        cylinder(r=THUMB_HOLE_RADIUS, h=THUMB_HOLE_THICKNESS * 2);
      }
    }
  }

  if (DECAL) {
    translate([0, 0, BOTTOM_THICKNESS]) {
      key();
    }
  }

  translate([-TOP_LOADER_BRACE_WIDTH / 2, -OUTER_HEIGHT / 2, BOTTOM_THICKNESS + DECK_THICKNESS]) {
    translate([-TOP_LOADER_BRACE_OFFSET - TOP_LOADER_BRACE_WIDTH / 2, 0]) {
      cube([
        TOP_LOADER_BRACE_WIDTH,
        TOP_LOADER_BRACE_HEIGHT,
        TOP_LOADER_BRACE_THICKNESS]);
    }

    translate([TOP_LOADER_BRACE_OFFSET + TOP_LOADER_BRACE_WIDTH / 2, 0]) {
      cube([
        TOP_LOADER_BRACE_WIDTH,
        TOP_LOADER_BRACE_HEIGHT,
        TOP_LOADER_BRACE_THICKNESS]);
    }
  }

  translate([-OUTER_WIDTH / 2 + SIDE_TEXT_THICKNESS / 2, 0, OUTER_THICKNESS * .45]) {
    rotate([90, 0, -90]) {
      linear_extrude(SIDE_TEXT_THICKNESS * 2) {
        text(SIDE_TEXT, font=SIDE_TEXT_FONT, size=SIDE_TEXT_SIZE, halign="center", valign="center");
      }
    }
  }
}

```


[User]
Okay, I'm looking to create a customizable blade disposal box, you know, for things like razor blades and utility knife blades. I've seen some designs out there, but I'd like to have a fully parametric one that I can adjust to different sizes and slot dimensions.

Essentially, I want a box with a slot on top for inserting the blades. The box should have adjustable outer dimensions (width1, width2, and height), and I also need to control the wall thickness. The slot itself should also be customizable in terms of width1, width2, and its height. Also, I'd like an option for a wedge-shaped opening on the slot, making it easier to slide blades in. The wedge should have a diameter and angle parameter.

It'd be cool if I could also offset the slot from the center and have a fillet diameter parameter to round the edges of the box. And for the bottom, I'd like an option to have it flat rather than filleted. Lastly, it would be great to have a debug option to show cross sections to help during development. The base box should be able to be both round or rectangular.

So, to summarize, I'd like a parametric OpenSCAD design that has the following customizable parameters:

*   **Model Resolution:** To adjust the smoothness of the model.
*   **Base Model:** Round or rectangular shape for the box.
*   **Outer Dimensions:** Width1, Width2, Height of the outer box.
*   **Wall Thickness:** Thickness of the box walls.
*   **Slot Dimensions:** Width1, Width2, and guard height of the slot.
*   **Slot Wedge Diameter:** Diameter of the slot opening's wedge.
*   **Slot Wedge Angle:** Angle of the slot opening's wedge.
*   **Slot Position Offset:** Vertical offset of the slot.
*   **Fillet Diameter:** Diameter of the fillets (rounded edges).
*   **Flat Bottom:** Option for a flat or filleted bottom.
*   **Debug Cross Section:** Option to show cross-sections on X, Y or Z.

I'd like the design to be based entirely on basic OpenSCAD primitives, so I'm not expecting to use any additional libraries. The included code also has functions for vector math (lvmult and lvdiv), and those would need to be included in your code as well.

Could you generate the OpenSCAD code for this parametric design?

[Assistant]
blade_disposal_box_v1.2.scad:
```
/* [Basics] */

// model resolution
resolution = 50; // [25:Draft, 50:Normal, 80:Smooth]

// box design
base_model = "Round"; // [Round,Rectengular]

// in mm, outer dimensions [width1, widht2, height], completely round if base_model=Round and width1=width2
outer_dimensions = [40,20,60];

// in mm, thickness of the boxe's walls
wall_thickness = 1;

// in mm, slot dimensions [width1, width2, guard_height]
slot_dimensions = [25, 1, 10];

// in mm, slot wedge opening diameter, if larger than slot diameter (and a valid angle is given) a wedged slot opening will be added, else: straight slot
slot_wedge_diameter = 5;

/* [Details] */

// in degrees, angle of the slot wedge opening, if between 0 and 90 (and a valid diameter is given) a wedged slot opening will be added, else: straight slot
slot_wedge_angle = 60;

// in mm, vertical slot position offset (limited), 0 is centered
slot_position_offset = 0;

// in mm, fillet diameter
fillet_diameter = 5;

// flat bottom (fillet only on top)?
flat_bottom = "Yes"; // [No,Yes]

// debug cross_section on X/Y/Z axis
debug_cross_section = "None"; // [None,X,Y,Z]

/* Initialize constants based on parameters ============================== */
$fn=resolution;
// box dimensions
mround = base_model == "Round";
dim_d = min(outer_dimensions[0], outer_dimensions[1]);
dim_w = max(outer_dimensions[0], outer_dimensions[1]);
dim_h = outer_dimensions[2];
// slot dimensions
sdim_d = min(slot_dimensions[0], slot_dimensions[1]);
sdim_w = max(slot_dimensions[0], slot_dimensions[1]);
sdim_h = slot_dimensions[2];
// slot offset (limited but doesn't consider e.g. round corners)
soff = [0,min(slot_position_offset,dim_d/2
          -max(sdim_d,slot_wedge_diameter)/2
          -2*wall_thickness),0];
// wedge
scut_a = max(min(slot_wedge_angle,90),0); // alpha
scut_d = min(slot_wedge_diameter, dim_d/2+2*wall_thickness);
// wedge cutout base triangle
//  _a_    ___
//  \  |  |  /
//  c\ |b | /
//    \|  |/
// TODO add limit for alpha (b <= sdim_h)
scut_ti_a = (scut_d-sdim_d)/2; // leg 1 (diameter)
scut_ti_b = scut_ti_a * tan(scut_a); // leg 2 (height)
scut_ti_c = sqrt(pow(scut_ti_a,2)+pow(scut_ti_b,2)); // hypotenuse
scut_ti_h = (scut_ti_a*scut_ti_b)/scut_ti_c;
// wedge outer triangle (walls)
scut_to_h = scut_ti_h + wall_thickness;
scut_to_a = scut_to_h / sin(scut_a);
scut_to_b = scut_to_a * tan(scut_a);
scut_to_c = sqrt(pow(scut_to_a,2)+pow(scut_to_b,2));
echo(scut_to_h=scut_to_h,scut_to_a=scut_to_a,scut_to_b=scut_to_b,scut_to_c=scut_to_c);
// booleans
flat_bottom_b = flat_bottom == "Yes";
wedge_slot_b = scut_a > 0 && scut_a < 90 // valid angle
               && scut_d > 0 && scut_d > sdim_d; // valid opening diameter
overcut = 0 + 0.001; // FIXME partially not applied correctly

/* == Draw Model ========================================================= */

difference() {
    // draw the blade box
    BladeBox();

    // optional debug cross section
    if (debug_cross_section == "X") {
        translate([0,-dim_d/2,-overcut]) cube([dim_w,dim_d,dim_h+4*overcut]);
    } else if (debug_cross_section == "Y") {
        translate([-dim_w/2-2*overcut,-dim_d,-overcut]) cube([dim_w+4*overcut,dim_d,dim_h+4*overcut]);
    } else if (debug_cross_section == "Z") {
        translate([0,0,dim_h/2+sdim_h+wall_thickness+overcut])
            cube([dim_w+4*overcut,dim_d+4*overcut,dim_h], center=true);
    }
}

module BladeBox() {
    difference() {
        union() {
            // box
            color("DarkBlue") rotate([180,0,0])
                translate([0,0,-dim_h]) BaseBox();
            // slot
            color("Orange") translate(soff) SlotWalls();
        }
        color("Orange") translate(soff) SlotCutouts();
    }
}

module SlotWalls() {
    // slot with wedge cutout?
    if (wedge_slot_b) {
        slot_outer_w = sdim_w + 2*wall_thickness;
        WedgeSlotWalls(slot_outer_w); // add triangular walls
        // add straight slot guard
        if (sdim_h > scut_ti_b) { // only if necessary
            slot_straight_h = sdim_h - wall_thickness;
            slot_straight_d = sdim_d + 2*wall_thickness;
            translate([-slot_outer_w/2,-slot_straight_d/2,wall_thickness])
                cube([slot_outer_w,slot_straight_d,slot_straight_h]);
        }
    } else if (sdim_h > wall_thickness) { // straight rounded slot (no wedge)
        translate([0,0,wall_thickness]) // add slot guard
            SoftCylinder(d=sdim_d+wall_thickness*2, h=sdim_h-wall_thickness,
                         f=0, w=sdim_w+wall_thickness*2);
    }
}

module SlotCutouts() {
    if (wedge_slot_b) {
        WedgeSlotCutouts(sdim_w);
    } else { // straight rounded slot only (no wedge)
        SoftCylinder(d=sdim_d, h=sdim_h+wall_thickness+overcut,
                     f=0, w=sdim_w);
    }
}

module WedgeSlotWalls(w) {
    difference() {
        TriangleCutout(scut_to_a, scut_to_b, w, s=sdim_d, h=sdim_h-overcut);
        // shave off top
        translate([overcut,overcut,wall_thickness/2-overcut])
            cube([w+4*overcut,scut_to_a*2+sdim_d+2*overcut,wall_thickness+overcut], center=true);
    }
}

module WedgeSlotCutouts() {
    translate([0,0,-overcut]) {
        // wedge cutout
        TriangleCutout(scut_ti_a,scut_ti_b,sdim_w,s=sdim_d,h=sdim_h+overcut);
        // straight cutout
        translate([-sdim_w/2,-sdim_d/2,0]) cube([sdim_w,sdim_d,sdim_h+2*overcut]);
    }
}

/*
 * lX - triangle leg 1 and 2
 * w - width
 * s - additional space between triangles, resulting in trapezoid (s = top width)
 * h - hight limiter, if > 0 cut of top reducing trapezoid height to h
 */
module TriangleCutout(l1, l2, w, s=0, h=0) {
    module _Wedge() {
        translate([-w/2,0,0]) rotate([90,0,90])
            linear_extrude(w)
                polygon([[0,0],[l1,0],[0,l2]]);
    }
    difference() {
        if (s > 0) {
            hull() { // acute isosceles trapezoid
                translate([0,s/2,0]) _Wedge();
                translate([0,-s/2,0]) mirror([0,1,0]) _Wedge();
            }
        }   else {
            union() { // prism
                _Wedge();
                mirror([0,1,0]) _Wedge();
            }
        }
        if (h > 0) { // height limitation (cut off)
            x = 2*l1+s;
            translate([-w/2-overcut,-x/2-overcut,h])
                cube([w+2*overcut,x+2*overcut,l2]);
        }
    }
}

module BaseBox() {
    if (mround) {
        difference() {
            SoftCylinder(d=dim_d, h=dim_h, f=fillet_diameter, w=dim_w,
                         flat_bottom=flat_bottom_b);
            translate([0,0,wall_thickness])
                SoftCylinder(d=dim_d-2*wall_thickness, h=dim_h-2*wall_thickness,
                             f=fillet_diameter-wall_thickness, w=dim_w-2*wall_thickness,
                             flat_bottom=flat_bottom_b);
        }
    } else {
        translate([0,0,dim_h/2]) {
            difference() {
                RoundCube([dim_w, dim_d, dim_h],
                          fillet_diameter, flat_bottom=flat_bottom_b,
                          center=true);
                RoundCube([dim_w-2*wall_thickness,
                           dim_d-2*wall_thickness,
                           dim_h-2*wall_thickness],
                          fillet_diameter-wall_thickness, flat_bottom=flat_bottom_b,
                          center=true);
           }
        }
    }
}

/* == Base Modules ======================================================= */

/**
 * A ring
 *
 * d - ring diameter
 * t - thickness (diameter)
 */
module Ring(d, t) {
    rotate_extrude(angle=360) translate([d/2, 0, 0]) circle(d=t);
}
//!Ring(40, 10);

/**
 * A straight cylinder with a fillet on top and optionally bottom (default)
 *
 * d - diameter
 * h - height
 * f - fillet radius, default: min(d,h)/4
 *     0 will result in a regular/stretched cylinder
 *     f must be < min(d,h)/2, if it's not min(d,h)/4 is used instead
 * w - width (stretched if >d), default: 0 (round)
 * flat_bottom - flat bottom, default: false (bottom with fillet)
 * center - center object z, default: false
 */
module SoftCylinder(d=1, h=1, f, w, flat_bottom=false, center=false) {
    fillet = f == undef || min(d,h)/2 <= f ? min(d,h)/4 : f;
    echo(d=d,h=h,f=f,fillet=fillet,w=w,flat_bottom=flat_bottom,center=center);
    module _Top() {
        if (w > d) { // stretch (no scale, we want even fillets)
            translate([(w-d)/2,0,0]) Ring(d-fillet, fillet);
            translate([-(w-d)/2,0,0]) Ring(d-fillet, fillet);
        } else {
            Ring(d-fillet, fillet);
        }
    }
    module _Cylinder() {
        hull() {
            translate([0,0,h-fillet/2]) _Top(); // top
            if (flat_bottom) {
                if (w > d) { // stretch (no scale, we want even fillets)
                    translate([(w-d)/2,0,0]) cylinder(d=(d), h=fillet);
                    translate([-(w-d)/2,0,0]) cylinder(d=(d), h=fillet);
                } else {
                    cylinder(d=(d), h=fillet);
                }
            } else {
                translate([0,0,+fillet/2]) _Top(); // bottom
            }
        }
    }
    translate([0,0,center ? -h/2 : 0]) {
        if (f > 0) { // fillet?
            _Cylinder();
        } else {
            if (w > d) { // stretch?
                hull() {
                    translate([(w-d)/2,0,0]) linear_extrude(h) circle(d=d);
                    translate([-(w-d)/2,0,0]) linear_extrude(h) circle(d=d);
                }
            } else {
                linear_extrude(h) circle(d=d);
            }
        }
    }
}
//!SoftCylinder(40, 20, 5, flat_bottom=false, center=true); // cylinder(d=40, h=20, center=true);
//!SoftCylinder(30, 20, 5, flat_bottom=true); // !cylinder(d=30, h=20);
//!SoftCylinder(40, 2, 0.8, flat_bottom=true, center=true); //!cylinder(d=40, h=2, center=true);
//!SoftCylinder(30, 20, 5, w=50, flat_bottom=true); // stretched
//!SoftCylinder(10, 50, 0, w=25, flat_bottom=true);
//!SoftCylinder(10, 50, 5, w=25, flat_bottom=true);

/* cube with with rounded edges
 * dim - dimensions [x,y,z]
 * fr - fillet radius, default: ff * min(dim), 0.0001 if <= 0
 * ff - fillet factor, default 1/4, ignored if fr is provided
 * flat_bottom - bottom half is flat, top half is rounded, default: false
 * center - center the model, default: false
 * hollow - hollow (frame only), default: false
 */
module RoundCube(dim, fr, ff=1/4, flat_bottom=false, center=false, hollow=false) {
    rv = fr == undef ? min(dim[0],dim[1],dim[2]) * ff : fr;
    r = rv <= 0 ? 0.0001 : rv;
    module _Corner() {
        union() {
            translate(lvmult(dim, [-1/2,-1/2,1]) + [r,r,-r]) {
                sphere(r=r);
                if (flat_bottom) {
                    translate([0,0,-dim[2]+r]) cylinder(r=r, h=dim[2]-r);
                } else {
                    translate([0,0,-dim[2]+r*2]) sphere(r=r);
                }
            }
        }
    } // base
    translate(lvmult(dim, center ? [0,0,-1/2] : [1/2,1/2,0])) {
        if (hollow) {
            union() {
                hull() { _Corner(); mirror([1,0,0]) _Corner(); }
                hull() { mirror([1,0,0]) _Corner(); rotate([180,180,0]) _Corner(); }
                hull() { rotate([180,180,0]) _Corner(); mirror([0,1,0]) _Corner(); }
                hull() { mirror([0,1,0]) _Corner(); _Corner(); }
            }
        } else {
            hull() {
                _Corner();
                for (p = [[1,0,0], [0,1,0]]) mirror(p) _Corner();
                rotate([180,180,0]) _Corner();
            }
        }
    }
}
//!RoundCube([10,20,15]);
//!RoundCube([20,40,15], 3, flat_bottom=true, hollow=true);

/* cube with softened (z-axis) edges, error tolerant version
 size    [x,y,z]
 radius  fillet radius, standard cube if <= 0, limited to x/y dimensions (fully rounded x/y edges)
 expand  fillet, size defines outer dimensions (false, default) or add radius to x/y size (true)
 center  center cube (default: false)
 hollow  frame only, width = radius
 - based on https://www.thingiverse.com/thing:9347
*/
module SoftCube(size, radius, expand=false, center=false, hollow=false) {
    x = size[0]; y = size[1]; z = size[2];
    r = min(x/(expand ? 1 : 2), y/(expand ? 1 : 2), radius); // maximum radius (must not exceed x/y dimensions)
    off = r / (expand ? 2 : 1);
    // corner points
    points=[[ x/2 - off,  y/2 - off, 0],
            [ x/2 - off, -y/2 + off, 0],
            [-x/2 + off, -y/2 + off, 0],
            [-x/2 + off,  y/2 - off, 0]];
    if (radius <= 0) { // standard cube, no fillet
        cube(size, center);
    } else {
        translate (center ? [0,0,-z/2] : [x/2,y/2,0]) {
            if (hollow) {
                for (i=[0:len(points)-1]) {
                    hull() {
                        translate(points[i]) cylinder(r=r, h=z);
                        translate(points[i > len(points)-2 ? 0 : i+1])
                            cylinder(r=r, h=z);
                    }
                }
            } else {
                // create circles in place of the 4 corner points
                hull() for (p=points) translate(p) cylinder(r=r, h=z);
            }
        }
    }
}
//SoftCube([20,20,20], 2, $fn=50);
//SoftCube([40,10,20], 220, center=true, $fn=50);
//SoftCube([20,10,20], 200, expand=true, center=true, $fn=50);
//!SoftCube([20,10,20], 5, expand=true, center=true, $fn=50);

/* == Vector/Matrix Math ================================================= */

/* Lazy vector multiplication
 * Multiplies all vectors in matrix m using dimensions of v0, ignoring
 * additional dimensions of vector v1 to vN
 * m - a matrix [v0,..,vn] where v0 dimensions are dimensions of res. vector
 */
function lvmult(v1, v2=[1,1,1], v3=[1,1,1], v4=[1,1,1]) =
    v1[2] == undef
      ? [v1[0]*v2[0]*v3[0]*v4[0],
         v1[1]*v2[1]*v3[1]*v4[1]]
      : [v1[0]*v2[0]*v3[0]*v4[0],
         v1[1]*v2[1]*v3[1]*v4[1],
         v1[2]*(v2[2]==undef?1:v2[2])*(v3[2]==undef?1:v3[2])*(v4[2]==undef?1:v4[2])];

/* Lazy vector division
 * Divide up to 4 vectors with size 2 or 3
   v1 is used to identify the dimensions
   if v2 to v4 have more dimensions they are ignored
   if v2 to v4 have less dimensions 1 is assumumed */
function lvdiv(v1, v2=[1,1,1], v3=[1,1,1], v4=[1,1,1]) =
    v1[2] == undef
      ? [v1[0]/v2[0]/v3[0]/v4[0],
         v1[1]/v2[1]/v3[1]/v4[1]]
      : [v1[0]/v2[0]/v3[0]/v4[0],
         v1[1]/v2[1]/v3[1]/v4[1],
         v1[2]/(v2[2]==undef?1:v2[2])/(v3[2]==undef?1:v3[2])/(v4[2]==undef?1:v4[2])];
//echo(lvdiv([10,20,30],[2,3,4]));
//echo(lvdiv([10,20,30],[2,3,4],[10,10,10],[2,2,2]));
//echo(lvdiv([2,3],[3,4,1]));

```


[User]
I'd like to create a customizable baby soother cup designed to hang on a crib or cradle. The basic idea is to have a cup-like structure with openings on the sides to slide over the crib bars.

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

*   **`barDiameter`**: The diameter of the crib bar, in mm.
*   **`barSpace`**: The space between two inner crib bars, also in mm.
*   **`partHeight`**: The overall height of the cup portion, in mm.
*   **`partWidth`**: The overall width of the cup, in mm.
*   **`floorHeight`**: The thickness of the bottom of the cup, in mm.
*   **`clearance`**:  A small amount of extra space between the cup's openings and the crib bar, in mm.
*   **`PrinterFirstLayerHeight`**: The first layer height of the 3D printer being used to print, in mm.
*   **`PrinterNozzleWidth`**: The width of the printer nozzle, in mm.
*   **`PartNumberWall`**: Number of walls for the print

The cup should have two openings to fit around two bars of a crib, and the cup portion should sit below the bars. The openings should be created so that they conform closely to the bar diameter, plus the specified `clearance`. I'd like the wall thickness to be controlled by `PrinterNozzleWidth` and `PartNumberWall`.  The bottom of the cup should have the `floorHeight` thickness and the openings at the top should be large enough that when it's printed, the printer nozzle will create a continuous ring. The sides of the cup can be a simple curved structure like a "hull" in OpenSCAD.

Could you generate an OpenSCAD file that accomplishes this, incorporating all of these parameters? I don't need any specific libraries.

[Assistant]
babyCupBed.scad:
```
// Written by Remi Vansnickt <>
//Feel free to tip me : https://www.thingiverse.com/Remivans/about
//Thingiverse : https://www.thingiverse.com/thing:3273050
//Licensed under the Creative Commons - Attribution - Non-Commercial - Share Alike license.

/* [Children bed parameter] */

//(mm)bar diameter
barDiameter=17;//[5:0.1:50]

//(mm) space beetween inner bar
barSpace=54;//[10:0.1:200]

//(mm) Height of output part ( barSpace/2 for uniforme top )
partHeight=27;//[5:0.5:200]

//(mm) Width of output part
partWidth=65;//[5:0.5:200]

//(mm) Height of bottom
floorHeight=1.3;//[0.3:0.1:5]

//(mm) Do you need space beetween part and bar
clearance=0;//[-2:0.1:2]

/* [Printer setting] */
//(mm) Height of first layer ( for removable brim inside hole)
PrinterFirstLayerHeight=0.3;//[0.1:0.01:0.5]

//(mm) Width of your Printer nozzle
PrinterNozzleWidth=0.4;//[0.1:0.05:1]

// number of wall
PartNumberWall=6;//[3:1:20]

cylinderPath=barSpace+barDiameter;
rPath=PrinterNozzleWidth*PartNumberWall/2+0.01;

//output
helper();
output();

//module
module barreau(clearance=0,cut=0){
	translate([0,0,-cut])cylinder(r=barDiameter/2+clearance,h=barSpace/2+2*cut,$fn=100);
	}

module helper(){
	$fn=50;
	hull(){
		translate([-barDiameter/8-barDiameter/2+rPath,-barDiameter/2-rPath-clearance,0])cylinder(r=rPath,h=partHeight);
		translate([+rPath/2,-barDiameter/2-rPath-+clearance,0])cylinder(r=rPath,h=partHeight);
		}
	hull(){
		translate([-barDiameter/8-barDiameter/2+rPath,+barDiameter/2+rPath+clearance,0])cylinder(r=rPath,h=partHeight);
		translate([+rPath/2,+barDiameter/2+rPath+clearance,0])cylinder(r=rPath,h=partHeight);
		}

			hull(){
		translate([cylinderPath+barDiameter/8+barDiameter/2-rPath,-barDiameter/2-rPath-+clearance,0])cylinder(r=rPath,h=partHeight);
		translate([-rPath/2+cylinderPath,-barDiameter/2-rPath-+clearance,0])cylinder(r=rPath,h=partHeight);
		}
	hull(){
		translate([cylinderPath+barDiameter/8+barDiameter/2-rPath,+barDiameter/2+rPath+clearance,0])cylinder(r=rPath,h=partHeight);
		translate([-rPath/2+cylinderPath,+barDiameter/2+rPath+clearance,0])cylinder(r=rPath,h=partHeight);
		}
	}

module output(){
	difference(){
		union(){
			//barreau
				translate([0,0,0])barreau(2*rPath+clearance,0);
				translate([cylinderPath,0,0])barreau(2*rPath+clearance,0);
		difference(){

				//cup
			scale([1,1,2*partHeight/barSpace])
			hull(){
				translate([-barDiameter/8,partWidth/2-barDiameter/2,0])barreau(0,0);
				translate([-barDiameter/8,-partWidth/2+barDiameter/2,0])barreau(0,0);

				translate([cylinderPath+barDiameter/8,partWidth/2-barDiameter/2,0])barreau(0,0);
				translate([cylinderPath+barDiameter/8,-partWidth/2+barDiameter/2,0])barreau(0,0);
				}

			hull(){
				translate([-barDiameter/8,partWidth/2-barDiameter/2,floorHeight])scale([1,1,2*partHeight/barSpace])barreau(-2*rPath,0);
				translate([-barDiameter/8,-partWidth/2+barDiameter/2,floorHeight])scale([1,1,2*partHeight/barSpace])barreau(-2*rPath,0);

				translate([cylinderPath+barDiameter/8,partWidth/2-barDiameter/2,floorHeight])scale([1,1,2*partHeight/barSpace])barreau(-2*rPath,0);
				translate([cylinderPath+barDiameter/8,-partWidth/2+barDiameter/2,floorHeight])scale([1,1,2*partHeight/barSpace])barreau(-2*rPath,0);
				}

		}
		}
		union(){
			//cut barreau
			scale([1,1,2*partHeight/barSpace])
			hull(){
				translate([0,0,0.3])barreau(clearance,0);
				translate([-barDiameter/8-barDiameter/2,0,0.3])barreau(rPath,0);
				}
			scale([1,1,2*partHeight/barSpace])
			hull(){
				translate([cylinderPath+barDiameter/2+barDiameter/8,0,0.3])barreau(rPath,0);
				translate([+cylinderPath,0,0.3])barreau(clearance,0);
				}
		}
	}

}

```


[User]
I'm looking to create a customizable bottle adapter for connecting different sized bottles together. I need to be able to specify the dimensions and thread types for both ends of the adapter. It needs to be a cylindrical adapter with internal threads on both ends.

Specifically, I need to be able to define:

*   **Bottom Cylinder:**
    *   Outer diameter (in inches)
    *   Interior diameter (in inches)
    *   Height (in inches)
    *   Threads per inch
*   **Top Cylinder:**
    *   Outer diameter (in inches)
    *   Interior diameter (in inches)
    *   Height (in inches)
    *   Threads per inch

The script should use the `english_thread` module, as defined in the `dkprojects.net` thread library, but I won't be providing the library source directly. I'll need the core adapter code as a separate `.scad` file. The `english_thread` module relies on the included `metric_thread` module, which should also be included in its own file. The `metric_thread` function in turn relies on a function `segments`. I'm okay with that function also being in the same file as `metric_thread`. The primary adapter file should also have a function `convert_to_metric(length_in_inches)` that simply does the conversion from inches to millimeters.

The final design should have a bottom cylinder with the specified dimensions and threads, and a top cylinder on top of that bottom cylinder, with *its* specified dimensions and threads. The overall adapter is essentially two cylinders, both with internal threads, stacked on top of each other. I want the threads to be cut from the inside of the cylinders.

Could you generate the OpenSCAD files for me, keeping in mind those specific parameters and the usage of the `dkprojects.net` thread library?

[Assistant]
BottleAdapter.scad:
```
// Bottom cylinder height in inches
bottomHeight = .75;

// Top cylinder height in inches
topHeight = .75;

// Cylinder outer diameter in inches
outerDiameter = 1.305;

// Bottom cylinder interior width in inches
bottomInteriorDiameter = 1;

// Bottom threads per inch
bottomThreadsPerInch = 8;

// Top cylinder interior width in inches
topInteriorDiameter = 1.175;

// Top threads per inch
topThreadsPerInch = 7;

difference()
{
    cylinder (d=convert_to_metric(outerDiameter), h=convert_to_metric(bottomHeight));
    english_thread (diameter=bottomInteriorDiameter, threads_per_inch=bottomThreadsPerInch, length=bottomHeight, internal=true);
}

translate([0,0,convert_to_metric(bottomHeight)])
{
    difference()
    {
        cylinder (d=convert_to_metric(outerDiameter), h=convert_to_metric(topHeight));
        english_thread (diameter=topInteriorDiameter, threads_per_inch=topThreadsPerInch, length=topHeight, internal=true);
    }
}

function convert_to_metric(length_in_inches) = length_in_inches * 25.4;

/*
 * ISO-standard metric threads, following this specification:
 *          http://en.wikipedia.org/wiki/ISO_metric_screw_thread
 *
 * Copyright 2017 Dan Kirshner - dan_kirshner@yahoo.com
 * This program is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * See <http://www.gnu.org/licenses/>.
 *
 * Version 2.3.  2017-08-31  Default for leadin: 0 (best for internal threads).
 * Version 2.2.  2017-01-01  Correction for angle; leadfac option.  (Thanks to
 *                           Andrew Allen <a2intl@gmail.com>.)
 * Version 2.1.  2016-12-04  Chamfer bottom end (low-z); leadin option.
 * Version 2.0.  2016-11-05  Backwards compatibility (earlier OpenSCAD) fixes.
 * Version 1.9.  2016-07-03  Option: tapered.
 * Version 1.8.  2016-01-08  Option: (non-standard) angle.
 * Version 1.7.  2015-11-28  Larger x-increment - for small-diameters.
 * Version 1.6.  2015-09-01  Options: square threads, rectangular threads.
 * Version 1.5.  2015-06-12  Options: thread_size, groove.
 * Version 1.4.  2014-10-17  Use "faces" instead of "triangles" for polyhedron
 * Version 1.3.  2013-12-01  Correct loop over turns -- don't have early cut-off
 * Version 1.2.  2012-09-09  Use discrete polyhedra rather than linear_extrude ()
 * Version 1.1.  2012-09-07  Corrected to right-hand threads!
 */

// ----------------------------------------------------------------------------
function segments (diameter) = min (50, ceil (diameter*6));

// ----------------------------------------------------------------------------
// diameter -    outside diameter of threads in mm. Default: 8.
// pitch    -    thread axial "travel" per turn in mm.  Default: 1.
// length   -    overall axial length of thread in mm.  Default: 1.
// internal -    true = clearances for internal thread (e.g., a nut).
//               false = clearances for external thread (e.g., a bolt).
//               (Internal threads should be "cut out" from a solid using
//               difference ()).
// n_starts -    Number of thread starts (e.g., DNA, a "double helix," has
//               n_starts=2).  See wikipedia Screw_thread.
// thread_size - (non-standard) axial width of a single thread "V" - independent
//               of pitch.  Default: same as pitch.
// groove      - (non-standard) subtract inverted "V" from cylinder (rather than
//               add protruding "V" to cylinder).
// square      - Square threads (per
//               https://en.wikipedia.org/wiki/Square_thread_form).
// rectangle   - (non-standard) "Rectangular" thread - ratio depth/(axial) width
//               Default: 1 (square).
// angle       - (non-standard) angle (deg) of thread side from perpendicular to
//               axis (default = standard = 30 degrees).
// taper       - diameter change per length (National Pipe Thread/ANSI B1.20.1
//               is 1" diameter per 16" length). Taper decreases from 'diameter'
//               as z increases.
// leadin      - 0 (default): no chamfer; 1: chamfer (45 degree) at max-z end;
//               2: chamfer at both ends, 3: chamfer at z=0 end.
// leadfac     - scale of leadin chamfer (default: 1.0 = 1/2 thread).
module metric_thread (diameter=8, pitch=1, length=1, internal=false, n_starts=1,
                      thread_size=-1, groove=false, square=false, rectangle=0,
                      angle=30, taper=0, leadin=0, leadfac=1.0)
{
   // thread_size: size of thread "V" different than travel per turn (pitch).
   // Default: same as pitch.
   local_thread_size = thread_size == -1 ? pitch : thread_size;
   local_rectangle = rectangle ? rectangle : 1;

   n_segments = segments (diameter);
   h = (square || rectangle) ? local_thread_size*local_rectangle/2 : local_thread_size / (2 * tan(angle));

   h_fac1 = (square || rectangle) ? 0.90 : 0.625;

   // External thread includes additional relief.
   h_fac2 = (square || rectangle) ? 0.95 : 5.3/8;

   tapered_diameter = diameter - length*taper;

   difference () {
      union () {
         if (! groove) {
            metric_thread_turns (diameter, pitch, length, internal, n_starts,
                                 local_thread_size, groove, square, rectangle, angle,
                                 taper);
         }

         difference () {

            // Solid center, including Dmin truncation.
            if (groove) {
               cylinder (r1=diameter/2, r2=tapered_diameter/2,
                         h=length, $fn=n_segments);
            } else if (internal) {
               cylinder (r1=diameter/2 - h*h_fac1, r2=tapered_diameter/2 - h*h_fac1,
                         h=length, $fn=n_segments);
            } else {

               // External thread.
               cylinder (r1=diameter/2 - h*h_fac2, r2=tapered_diameter/2 - h*h_fac2,
                         h=length, $fn=n_segments);
            }

            if (groove) {
               metric_thread_turns (diameter, pitch, length, internal, n_starts,
                                    local_thread_size, groove, square, rectangle,
                                    angle, taper);
            }
         }
      }

      // chamfer z=0 end if leadin is 2 or 3
      if (leadin == 2 || leadin == 3) {
         difference () {
            cylinder (r=diameter/2 + 1, h=h*h_fac1*leadfac, $fn=n_segments);

            cylinder (r2=diameter/2, r1=diameter/2 - h*h_fac1*leadfac, h=h*h_fac1*leadfac,
                      $fn=n_segments);
         }
      }

      // chamfer z-max end if leadin is 1 or 2.
      if (leadin == 1 || leadin == 2) {
         translate ([0, 0, length + 0.05 - h*h_fac1*leadfac]) {
            difference () {
               cylinder (r=diameter/2 + 1, h=h*h_fac1*leadfac, $fn=n_segments);
               cylinder (r1=tapered_diameter/2, r2=tapered_diameter/2 - h*h_fac1*leadfac, h=h*h_fac1*leadfac,
                         $fn=n_segments);
            }
         }
      }
   }
}

// ----------------------------------------------------------------------------
// Input units in inches.
// Note: units of measure in drawing are mm!
module english_thread (diameter=0.25, threads_per_inch=20, length=1,
                      internal=false, n_starts=1, thread_size=-1, groove=false,
                      square=false, rectangle=0, angle=30, taper=0, leadin=0,
                      leadfac=1.0)
{
   // Convert to mm.
   mm_diameter = convert_to_metric(diameter);
   mm_pitch = convert_to_metric(1.0/threads_per_inch);
   mm_length = convert_to_metric(length);

   echo (str ("mm_diameter: ", mm_diameter));
   echo (str ("mm_pitch: ", mm_pitch));
   echo (str ("mm_length: ", mm_length));
   metric_thread (mm_diameter, mm_pitch, mm_length, internal, n_starts,
                  thread_size, groove, square, rectangle, angle, taper, leadin,
                  leadfac);
}

// ----------------------------------------------------------------------------
module metric_thread_turns (diameter, pitch, length, internal, n_starts,
                            thread_size, groove, square, rectangle, angle,
                            taper)
{
   // Number of turns needed.
   n_turns = floor (length/pitch);

   intersection () {

      // Start one below z = 0.  Gives an extra turn at each end.
      for (i=[-1*n_starts : n_turns+1]) {
         translate ([0, 0, i*pitch]) {
            metric_thread_turn (diameter, pitch, internal, n_starts,
                                thread_size, groove, square, rectangle, angle,
                                taper, i*pitch);
         }
      }

      // Cut to length.
      translate ([0, 0, length/2]) {
         cube ([diameter*3, diameter*3, length], center=true);
      }
   }
}

// ----------------------------------------------------------------------------
module metric_thread_turn (diameter, pitch, internal, n_starts, thread_size,
                           groove, square, rectangle, angle, taper, z)
{
   n_segments = segments (diameter);
   fraction_circle = 1.0/n_segments;
   for (i=[0 : n_segments-1]) {
      rotate ([0, 0, i*360*fraction_circle]) {
         translate ([0, 0, i*n_starts*pitch*fraction_circle]) {
            //current_diameter = diameter - taper*(z + i*n_starts*pitch*fraction_circle);
            thread_polyhedron ((diameter - taper*(z + i*n_starts*pitch*fraction_circle))/2,
                               pitch, internal, n_starts, thread_size, groove,
                               square, rectangle, angle);
         }
      }
   }
}

// ----------------------------------------------------------------------------
module thread_polyhedron (radius, pitch, internal, n_starts, thread_size,
                          groove, square, rectangle, angle)
{
   n_segments = segments (radius*2);
   fraction_circle = 1.0/n_segments;

   local_rectangle = rectangle ? rectangle : 1;

   h = (square || rectangle) ? thread_size*local_rectangle/2 : thread_size / (2 * tan(angle));
   outer_r = radius + (internal ? h/20 : 0); // Adds internal relief.
   //echo (str ("outer_r: ", outer_r));

   // A little extra on square thread -- make sure overlaps cylinder.
   h_fac1 = (square || rectangle) ? 1.1 : 0.875;
   inner_r = radius - h*h_fac1; // Does NOT do Dmin_truncation - do later with
                                // cylinder.

   translate_y = groove ? outer_r + inner_r : 0;
   reflect_x   = groove ? 1 : 0;

   // Make these just slightly bigger (keep in proportion) so polyhedra will
   // overlap.
   x_incr_outer = (! groove ? outer_r : inner_r) * fraction_circle * 2 * PI * 1.02;
   x_incr_inner = (! groove ? inner_r : outer_r) * fraction_circle * 2 * PI * 1.02;
   z_incr = n_starts * pitch * fraction_circle * 1.005;

   /*
    (angles x0 and x3 inner are actually 60 deg)

                          /\  (x2_inner, z2_inner) [2]
                         /  \
   (x3_inner, z3_inner) /    \
                  [3]   \     \
                        |\     \ (x2_outer, z2_outer) [6]
                        | \    /
                        |  \  /|
             z          |[7]\/ / (x1_outer, z1_outer) [5]
             |          |   | /
             |   x      |   |/
             |  /       |   / (x0_outer, z0_outer) [4]
             | /        |  /     (behind: (x1_inner, z1_inner) [1]
             |/         | /
    y________|          |/
   (r)                  / (x0_inner, z0_inner) [0]

   */

   x1_outer = outer_r * fraction_circle * 2 * PI;

   z0_outer = (outer_r - inner_r) * tan(angle);
   //echo (str ("z0_outer: ", z0_outer));

   //polygon ([[inner_r, 0], [outer_r, z0_outer],
   //        [outer_r, 0.5*pitch], [inner_r, 0.5*pitch]]);
   z1_outer = z0_outer + z_incr;

   // Give internal square threads some clearance in the z direction, too.
   bottom = internal ? 0.235 : 0.25;
   top    = internal ? 0.765 : 0.75;

   translate ([0, translate_y, 0]) {
      mirror ([reflect_x, 0, 0]) {

         if (square || rectangle) {

            // Rule for face ordering: look at polyhedron from outside: points must
            // be in clockwise order.
            polyhedron (
               points = [
                         [-x_incr_inner/2, -inner_r, bottom*thread_size],         // [0]
                         [x_incr_inner/2, -inner_r, bottom*thread_size + z_incr], // [1]
                         [x_incr_inner/2, -inner_r, top*thread_size + z_incr],    // [2]
                         [-x_incr_inner/2, -inner_r, top*thread_size],            // [3]

                         [-x_incr_outer/2, -outer_r, bottom*thread_size],         // [4]
                         [x_incr_outer/2, -outer_r, bottom*thread_size + z_incr], // [5]
                         [x_incr_outer/2, -outer_r, top*thread_size + z_incr],    // [6]
                         [-x_incr_outer/2, -outer_r, top*thread_size]             // [7]
                        ],

               faces = [
                         [0, 3, 7, 4],  // This-side trapezoid

                         [1, 5, 6, 2],  // Back-side trapezoid

                         [0, 1, 2, 3],  // Inner rectangle

                         [4, 7, 6, 5],  // Outer rectangle

                         // These are not planar, so do with separate triangles.
                         [7, 2, 6],     // Upper rectangle, bottom
                         [7, 3, 2],     // Upper rectangle, top

                         [0, 5, 1],     // Lower rectangle, bottom
                         [0, 4, 5]      // Lower rectangle, top
                        ]
            );
         } else {

            // Rule for face ordering: look at polyhedron from outside: points must
            // be in clockwise order.
            polyhedron (
               points = [
                         [-x_incr_inner/2, -inner_r, 0],                        // [0]
                         [x_incr_inner/2, -inner_r, z_incr],                    // [1]
                         [x_incr_inner/2, -inner_r, thread_size + z_incr],      // [2]
                         [-x_incr_inner/2, -inner_r, thread_size],              // [3]

                         [-x_incr_outer/2, -outer_r, z0_outer],                 // [4]
                         [x_incr_outer/2, -outer_r, z0_outer + z_incr],         // [5]
                         [x_incr_outer/2, -outer_r, thread_size - z0_outer + z_incr], // [6]
                         [-x_incr_outer/2, -outer_r, thread_size - z0_outer]    // [7]
                        ],

               faces = [
                         [0, 3, 7, 4],  // This-side trapezoid

                         [1, 5, 6, 2],  // Back-side trapezoid

                         [0, 1, 2, 3],  // Inner rectangle

                         [4, 7, 6, 5],  // Outer rectangle

                         // These are not planar, so do with separate triangles.
                         [7, 2, 6],     // Upper rectangle, bottom
                         [7, 3, 2],     // Upper rectangle, top

                         [0, 5, 1],     // Lower rectangle, bottom
                         [0, 4, 5]      // Lower rectangle, top
                        ]
            );
         }
      }
   }
}

```


[User]
Okay, I'm looking to create a parametric OpenSCAD design for customizable coasters, similar to the ones described in the provided Thingiverse link. I want to be able to create designs on a grid, with different heights representing different colors. I'll need a couple of different versions.

First, I need a version that uses a 16x16 grid of "pixels" (blocks). These blocks should be customizable in height, corresponding to up to 5 colors (heights). Each block in the grid will have a value of 0, 1, 2, 3, or 4, which will then result in different height blocks being printed. I need to be able to specify the dimensions of each block, and the total dimensions of the final grid as well. Let's call this file `bit-customizer_5_color_16_x_16.scad`. I'm assuming I'll have a "blank template" STL file for the base coaster, like the other example files.

Second, I need another version that does the same, but uses a 32x32 grid for more detail, otherwise using the same functionality as the 16x16 grid version. The individual blocks will be smaller to fit within the same overall dimensions. Let's call this file `bit-customizer_5_color_32_x_32.scad`. And like before, I'll assume I have a "blank template" STL file for the base.

It would be great if I could specify the color of each height, so that I can see them easily in the OpenSCAD preview window. I also need to be able to define the heights of each of those levels.

I want to make sure the pixel grid is centered on top of the base coaster, so when I'm specifying a translation, I'd like that to translate the grid into the correct final position.

For both of these files, I want to be able to specify the 2D array (the "dibujo" variable in the included examples) to be easily customized from outside the scad file - as if it were imported, or an argument to a module. That way, I can reuse the same module for multiple designs.

Oh, and I want the file to use a simple `import("Blank_Template.STL")` statement to bring in the base coaster file.

[Assistant]
bit-customizer_5_color_16_x_16.scad:
```

translate([0,0,-47.5])
import("Blank_Template.STL");

dimension_cube     = [3.2,3.2,4.3];
dimension_cube_2   = [3.2,3.2,3.7];
dimension_cube_3   = [3.2,3.2,3.1];
dimension_cube_4   = [3.2,3.2,2.5];

x_length = 15;
y_length = 15;

dibujo = [[1,2,3,4,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]];

translate([24,-23,0])
{
for(i = [0:x_length])
{
  for(j = [0:y_length])
  {
    if(dibujo[i][j] == 1)
    {
      color("Black")
        translate([i*dimension_cube[0],j*dimension_cube[1],0])
          cube(dimension_cube,center=false);
    }
    if(dibujo[i][j] == 2)
    {
      color("green")
        translate([i*dimension_cube[0],j*dimension_cube[1],0])
          cube(dimension_cube_2,center=false);
    }
    if(dibujo[i][j] == 3)
    {
      color("blue")
        translate([i*dimension_cube[0],j*dimension_cube[1],0])
          cube(dimension_cube_3,center=false);
    }
    if(dibujo[i][j] == 4)
    {
      color("red")
        translate([i*dimension_cube[0],j*dimension_cube[1],0])
          cube(dimension_cube_4,center=false);
    }
  }
}
}
```
bit-customizer_5_color_32_x_32.scad:
```

translate([0,0,-47.5])
import("Blank_Template.STL");

dimension_cube     = [1.6,1.6,4.3];
dimension_cube_2   = [1.6,1.6,3.7];
dimension_cube_3   = [1.6,1.6,3.1];
dimension_cube_4   = [1.6,1.6,2.5];

x_length = 31;
y_length = 31;

dibujo = [[1,2,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,],
          [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,]];

translate([24,-23,0])
{
for(i = [0:x_length])
{
  for(j = [0:y_length])
  {
    if(dibujo[i][j] == 1)
    {
      color("Black")
        translate([i*dimension_cube[0],j*dimension_cube[1],0])
          cube(dimension_cube,center=false);
    }
    if(dibujo[i][j] == 2)
    {
      color("green")
        translate([i*dimension_cube[0],j*dimension_cube[1],0])
          cube(dimension_cube_2,center=false);
    }
    if(dibujo[i][j] == 3)
    {
      color("blue")
        translate([i*dimension_cube[0],j*dimension_cube[1],0])
          cube(dimension_cube_3,center=false);
    }
    if(dibujo[i][j] == 4)
    {
      color("red")
        translate([i*dimension_cube[0],j*dimension_cube[1],0])
          cube(dimension_cube_4,center=false);
    }
  }
}
}
```


[User]
Hi, I'm looking for a way to generate a customizable egg holder for my refrigerator. I've got a basic design in mind, but I need some help making it parametric so I can easily adjust the size and number of eggs it can hold.

Essentially, I want a modular design where each module holds two eggs.  The basic module is a rectangle, 50mm wide and 100mm deep (front to back), and it includes egg-shaped recesses to hold the eggs securely. Here are the key dimensions I've worked out for a single egg recess based on my measurements:

*   **Lower Diameter (ed1):** 35mm
*   **Lower Height (h1):** 10mm
*   **Upper Diameter (ed2):** 48mm
*   **Upper Height (h2):** 30mm
*   **Wall Thickness (ws):** 0.8mm

The recess shape is basically a truncated cone at the bottom, joined to another cone, also truncated, at the top. The lower part has the `ed1` diameter at the base and transitions to `ed2` at height `h2`. Then, a cylinder of diameter `ed1` is placed on top with height `h1`.

The wall thickness, `ws`, is important; it should be added to all diameters when building the solid outer part, and removed when generating the egg-shaped cutouts.

Each two-egg module should also have a few small stabilizing features for printing and connecting them to other modules. There should be a rectangular base under the recesses for support (height around 5mm), and a small trapezoid on each of the sides of the module (a trapezoid on the right-hand side near the front, and a trapezoid on the left hand side near the back) for interlocking with neighboring modules and a cylindrical peg on the side opposite the trapezoids (on the right hand side near the back of a module) for stability.

Ideally, I'd like to define the overall number of eggs the holder should support and the system automatically generates the required number of modules connected together. I would need the ability to modify these parameters:

*   `egg_diameter_lower`: (default 35mm)
*   `egg_diameter_upper`: (default 48mm)
*   `egg_height_lower`: (default 10mm)
*   `egg_height_upper`: (default 30mm)
*   `wall_thickness`: (default 0.8mm)
*   `module_width`: (default 50mm)
*   `module_depth`: (default 100mm)
*  `base_height` (default 5mm)
*   `num_eggs`: The total number of eggs the holder should store, always an even number since it uses 2-egg modules (e.g., 10 eggs will create 5 connected modules).
*   `trapezoid_width_lower`: (default 4mm)
*   `trapezoid_width_upper`: (default 8mm)
*   `trapezoid_height`: (default 4mm)
*  `trapezoid_depth`: (default 5mm)
*   `peg_diameter`: (default 3mm)
*   `peg_height`: (default 10mm)
*  `peg_offset`: (default 5mm) - offset the peg from the corner to the center of the peg

I'm thinking this will require several functions to create:
    * The 2d trapezoid object
    * A single egg recess object (with outer wall)
    * A single 2-egg module object
    * And finally the holder made up of the linked modules

I'd like this implemented in OpenSCAD using only standard modules and functions. I don't need any extra libraries like MCAD or BOSL. Can you generate this for me?

[Assistant]
Eier-Lager.scad:
```
// -----------------------------------------------------
// Eier-Lager
//
//  Detlev Ahlgrimm, 12.12.2018
// -----------------------------------------------------

// area for a single egg [hd, hd]
hd=50;

// lower diameter
ed1=35;
// lower height
h1=10;

// upper diameter
ed2=48;
// upper height
h2=30;

// wall thickness
ws=0.8;

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

// -----------------------------------------------------
// ein 2D-Trapez ([0,0] liegt mittig auf l1)
//  l1  : untere Laenge
//  l2  : obere Laenge
//  h   : Hoehe
// -----------------------------------------------------
module Trapez2D(l1, l2, h) {
  d=(l1-l2)/2;
  polygon([ [-l1/2,0], [-l1/2+d,h], [l1/2-d,h], [l1/2,0] ]);
}

if(ed1>ed2) {
  text("error: ed1>ed2");
} else if(h2<5) {
  text("error: h2<5");
} else if((ed2+2*ws)>hd) {
  text("error: (ed2+2*ws)>hd");
} else if((ed2-ed1)/2>h2) {
  text("error: (ed2-ed1)/2>h2 ... degree <45!");
} else {
  difference() {
    union() {
      for(y=[0, hd]) {
        translate([0, y,  0]) cylinder(d1=ed2+2*ws, d2=ed1+2*ws, h=h2);
        translate([0, y, h2]) cylinder(d=ed1+2*ws, h=h1);
      }
      translate([-ws/2,        0,  0]) cube([ws, hd, h1+h2]);
      translate([-hd/2,    -hd/2,  0]) cube([hd, 2*hd, 5]);
      translate([ hd/2,  -hd/2+7,  0]) rotate([0, 0, -90]) linear_extrude(5) Trapez2D(4, 8, 4);
      translate([ hd/2, hd*1.5-7,  0]) rotate([0, 0, -90]) linear_extrude(5) Trapez2D(4, 8, 4);
      translate([-hd/2,  hd/2-5, 5/2]) rotate([-90, 0, 0]) cylinder(d=3, h=10);
    }
    for(y=[0, hd]) {
      translate([0, y,   -0.001]) cylinder(d1=ed2, d2=ed1, h=h2+0.002);
      translate([0, y, h2-0.001]) cylinder(d=ed1, h=h1+0.002);
    }
    translate([-hd/2-0.001,  -hd/2+7, -0.1]) rotate([0, 0, -90]) linear_extrude(5.2) Trapez2D(4.6, 8.4, 4.1);
    translate([-hd/2-0.001, hd*1.5-7, -0.1]) rotate([0, 0, -90]) linear_extrude(5.2) Trapez2D(4.6, 8.4, 4.1);
    translate([       hd/2,   hd/2-6,  5/2]) rotate([-90, 0, 0]) cylinder(d=3.6, h=12);
  }
}

```


[User]
Hey, I'm looking to create a customizable playset for pretend makeup, and I'd like to use OpenSCAD. I have some basic ideas about how it should work, and I think it might be a bit complicated, so I'm hoping you can help me design the files!

Essentially, I want to generate a box with slots for makeup pads. The makeup pads themselves will also be generated. Here's what I'm thinking in terms of parameters:

*   **`partWidth`**: This will be the diameter of a circular pad or the side length of a square/rectangular pad, in millimeters. I need to control this dimension to fit different sized pads. I'd like it to be adjustable from 10mm to 50mm, in increments of 0.2mm.
*   **`partHeight`**:  This will be the height of the pad, also in millimeters, which will also determine the height of the box slots. It should be adjustable from 1mm to 5mm in 0.2mm increments.
*   **`sizeBoxX`**: This determines how many pads fit along the X-axis of the box. I'd like it to be an integer, adjustable from 1 to 5.
*   **`sizeBoxY`**: This determines how many pads fit along the Y-axis.  I'd like it to be an integer or half-integer, adjustable from 1 to 3, in steps of 0.5.
*   **`clearance`**: This is the gap between the pads and the box slots, which is important for tolerances. It should be adjustable between 0.3mm and 0.6mm, in 0.05mm increments.
* **`output`**: This is a key parameter for output selection. It should be an integer that selects a different design for output between 0 and 7, explained more below.

Now, the `output` parameter is important:

*   **`output = 0`**:  This should generate the *box with the pads inside* to show what it looks like when filled. The box should be generated both for the bottom and for the top (like a hinged box with a lid). Also, the bottom box should have its pads included as well.
*   **`output = 1`**: This should generate *only the box (top and bottom) with space for the pads* in the normal configuration, but the pads themselves are not generated. It should include hinges and closures.
*   **`output = 2`**: This should generate *only a single circular pad*.
*   **`output = 3`**: This should generate *only a single smaller circular pad*, with half the diameter of the regular one controlled by `partWidth`.
*   **`output = 4`**: This should generate *only a single rectangular pad*.
*   **`output = 5`**: This should generate *only a single square pad*.
*  **`output = 6`**: This should generate *only the box (top and bottom) with space for the pads* with square cutouts for top boxes. It should include hinges and closures
*  **`output = 7`**: This should generate *only the box (top and bottom) with space for the pads* with rectangular cutouts for top boxes. It should include hinges and closures.

So, to summarize, the `output` will select the design I need, the other parameters will scale the design to the dimensions I want, and it will handle the box generation, pad generation, and clearances as well as the hinge and closures for output selections 0, 1, 6, and 7.

I think I'll also need a few sub-modules like `cubeRound`, `boxcylinder`, and `boxSquareRound` to get the shapes correct.

I'm not sure how to handle the random color generation or some of the more complex union operations, so hopefully you can help there.  I expect a main file, with modules within it that do the calculations and final drawing.

Is that something you can do? Let me know if you need any more info!

[Assistant]
pastillesMaquillages.scad:
```
// Written by Remi Vansnickt <>
//Feel free to tip me : https://www.thingiverse.com/Remivans/about
//Thingiverse : https://www.thingiverse.com/thing:3281005
//Licensed under the Creative Commons - Attribution - Non-Commercial - Share Alike license.
/* [Main] */
//(mm) dimention of your circle pad
partWidth=30;//[10:0.2:50]
//(mm) Height of your pad
partHeight=3;//[1:0.2:5]

//size of playset X
sizeBoxX=1;//[1:1:5]
//size of playset Y
sizeBoxY=1;//[1:0.5:3]

//part clearance
clearance=0.4;//[0.3:0.05:0.6]

//Witch output do you want ?!
output=1;//[0:Feeled box,1:box with mirror,6:square top box,7:rectangle top box,2:circle pad,3:circle pad (small),4:rectangular pad,5:square pad]

numberWall=8*1;//[2:1:10]
PNW=0.4+0.005;
realSizeBoxWidth=sizeBoxX*(2*PNW*numberWall+partWidth)+2*PNW*numberWall;
realSizeBoxHeight=sizeBoxY*(2*PNW*numberWall+partWidth)+2*PNW*numberWall;

	//bottomBox
	if(output==0 || output==1 || output==6 || output==7)boiteHomeMade(partHeight,partWidth,sizeBoxX,sizeBoxY,true);
	if(output==0)feelBox(partHeight,partWidth,sizeBoxX,sizeBoxY);
	//topBox
	translate([0,realSizeBoxHeight,0])rotate(180,[0,0,1])
	union(){
		if(output==0 || output==1 || output==6 || output==7)boiteHomeMade(partHeight,partWidth,sizeBoxX,sizeBoxY,false);
		//feelTopBox(partHeight,partWidth,sizeBoxX,sizeBoxY);
	}
	//pad output
	if(output==2)color(rands(0,1,3))boxcylinder(partWidth,partHeight);
	if(output==3)color(rands(0,1,3))boxcylinder(partWidth/2,partHeight);
	if(output==4)color(rands(0,1,3))boxSquareRound(partWidth+.5,partWidth/2-3+PNW,partHeight);
	if(output==5)color(rands(0,1,3))boxSquareRound(partWidth,partWidth,partHeight);

module cubeRound(partWidth,partHeight,partZ,rayon){
		hull(){
		translate([+partWidth/2-rayon,partHeight/2-rayon,0])cylinder(r=rayon,h=partZ,$fn=30);
		translate([-partWidth/2+rayon,-partHeight/2+rayon,0])cylinder(r=rayon,h=partZ,$fn=30);
		translate([-partWidth/2+rayon,+partHeight/2-rayon,0])cylinder(r=rayon,h=partZ,$fn=30);
		translate([+partWidth/2-rayon,-partHeight/2+rayon,0])cylinder(r=rayon,h=partZ,$fn=30);
			}
		}
module boxcylinder(partWidth,partZ){
	difference(){
			cylinder(r=partWidth/2,h=partZ,$fn=100);
			//translate([0,0,partZ-PNW])scale([partWidth-PNW,partWidth-PNW,1])
			//random2(partZ);
			translate([0,0,partZ-PNW])cylinder(r=partWidth/2-2*PNW,h=3,$fn=100);
		}
}
module boxSquareRound(partWidth,partHeight,partZ){
	difference(){
		cubeRound(partWidth,partHeight,partZ,1);
		translate([0,0,partZ-PNW])cubeRound(partWidth-4*PNW,partHeight-4*PNW,partZ,1);
    }
}
module random(partZ){
		hull(){
			for(i=[0:10:360])
			{
			randomize=rands(0.3,0.5,1)[0];
			scale([1/2,1/2,1])translate([randomize*cos(i),randomize*sin(i),0])cylinder(r=PNW,h=partZ,$fn=20);

			}
		}

}//random();
module bottomBox(partWidth,partZ,numberPartWidth,numberPartHeight,margin=0){
	realSizeBoxWidth=numberPartWidth*(2*PNW*numberWall+partWidth)+2*PNW*numberWall-2*margin;
	realSizeBoxHeight=numberPartHeight*(2*PNW*numberWall+partWidth)+2*PNW*numberWall-2*margin;
	rayon=3;
	hull(){
				translate([-realSizeBoxWidth/2+rayon,-realSizeBoxHeight/2+rayon,0])cylinder(r=rayon,h=partZ*2,$fn=50);
				translate([+realSizeBoxWidth/2-+rayon,-realSizeBoxHeight/2+rayon,0])cylinder(r=rayon,h=partZ*2,$fn=50);
				translate([+realSizeBoxWidth/2-+rayon,+realSizeBoxHeight/2-rayon-clearance,0])cylinder(r=rayon,h=partZ*2,$fn=50);
				translate([-realSizeBoxWidth/2+rayon,+realSizeBoxHeight/2-rayon-clearance,0])cylinder(r=rayon,h=partZ*2,$fn=50);
			}
}
module bottomCharniere(partWidth,partZ,numberPartWidth,numberPartHeight){
	translate([0,realSizeBoxHeight/2,2*partZ])
	hull(){
		translate([realSizeBoxWidth/2-partZ,0,0])sphere(r=partZ,$fn=20);
		translate([-realSizeBoxWidth/2+partZ,0,0])sphere(r=partZ,$fn=20);
	}

}
module bottomCharniereHole(partWidth,partZ,numberPartWidth,numberPartHeight){
	for(i=[-numberPartWidth/2:1:numberPartWidth/2])
	translate([i*(partWidth+2*PNW*numberWall),realSizeBoxHeight/2,2*partZ])
	union(){
		rotate(90,[0,1,0])
			cylinder(r=partZ+clearance,h=partWidth/2+clearance,$fn=20,center=true);
		translate([partWidth/4+clearance,0,0])
			sphere(r=partZ-clearance,$fn=20);
		translate([-partWidth/4-clearance,0,0])
			sphere(r=partZ-clearance,$fn=20);
	}
}
module topCharniereHole(partWidth,partZ,numberPartWidth,numberPartHeight){
	for(i=[-numberPartWidth/2:1:numberPartWidth/2])
	translate([i*(partWidth+2*PNW*numberWall),realSizeBoxHeight/2,2*partZ])
	union(){
		translate([partWidth/2,0,0])rotate(90,[0,1,0])cylinder(r=partZ+clearance,h=partWidth/2+clearance,$fn=20,center=true);
		translate([-partWidth/2,0,0])rotate(90,[0,1,0])cylinder(r=partZ+clearance,h=partWidth/2+clearance,$fn=20,center=true);
	}
}
module topCharniereSphere(partWidth,partZ,numberPartWidth,numberPartHeight){
	for(i=[-numberPartWidth/2:1:numberPartWidth/2])
	translate([i*(partWidth+2*PNW*numberWall),realSizeBoxHeight/2,2*partZ])
	union(){
		if(i!=numberPartWidth/2){
		translate([partWidth/4-clearance/2,0,0])sphere(r=partZ-2*clearance,$fn=20);
		}
		if(i!=-numberPartWidth/2)
		{
		translate([-partWidth/4+clearance/2,0,0])sphere(r=partZ-2*clearance,$fn=20);
		}
	}
}

module bottomCloseHole(partWidth,partZ,numberPartWidth,numberPartHeight){
		translate([0,-realSizeBoxHeight/2,2*partZ])rotate(90,[1,0,0])cylinder(r=1.25*partZ+clearance,h=2*PNW*partZ+clearance,$fn=2*partWidth,center=true);
		translate([0,-realSizeBoxHeight/2,2*partZ-partZ/4])cylinder(r=partZ/2+clearance,h=PNW*partZ/2,$fn=2*partWidth,center=true);
}
module topClose(partWidth,partZ,numberPartWidth,numberPartHeight){
	union(){
		translate([0,-realSizeBoxHeight/2+PNW*partZ,2*partZ])rotate(90,[1,0,0])
			difference(){
				cylinder(r=1.25*partZ,h=PNW*partZ,$fn=2*partWidth);
				translate([0,3*partZ/2,PNW*partZ])cube([2.5*partZ,2*partZ,3*PNW*partZ],center=true);
			}
		translate([0,-realSizeBoxHeight/2,2*partZ+partZ/4])
			difference(){
				cylinder(r=partZ/2+clearance,h=PNW*partZ/3,$fn=2*partWidth,center=true);
				translate([0,-partZ,0])cube([2*partZ,2*partZ,PNW*partZ],center=true);
			}
		}
}

module feelBox(partZ,partWidth,numberPartWidth,numberPartHeight){
	for (i=[1:1:numberPartWidth]){
		placeElementX=-realSizeBoxWidth/2+partWidth/2+2*PNW*numberWall+(i-1)*(partWidth+2*PNW*numberWall);
		placeElementY=-realSizeBoxHeight/2+partWidth/2+2*PNW*numberWall;
		if(numberPartHeight>=1)
			translate([placeElementX,placeElementY,partZ])
				color(rands(0,1,3))boxcylinder(partWidth,partZ);
		if(numberPartHeight==1.5)
			translate([placeElementX,-placeElementY,partZ])
			union(){
				translate([(partWidth/2+PNW*numberWall)/2,partWidth/4,0])
					color(rands(0,1,3))boxcylinder(partWidth/2,partZ);
				translate([-(partWidth/2+PNW*numberWall)/2,+partWidth/4,0])
					color(rands(0,1,3))boxcylinder(partWidth/2,partZ);
			}
		if(numberPartHeight>=2)
			translate([placeElementX,-placeElementY,partZ])
			union(){
				translate([(partWidth/2+PNW*numberWall)/2,(partWidth/2+PNW*numberWall)/2,0])
					color(rands(0,1,3))boxcylinder(partWidth/2,partZ);
				translate([-(partWidth/2+PNW*numberWall)/2,-(partWidth/2+PNW*numberWall)/2,0])
					color(rands(0,1,3))boxcylinder(partWidth/2,partZ);
				translate([-(partWidth/2+PNW*numberWall)/2,+(partWidth/2+PNW*numberWall)/2,0])
					color(rands(0,1,3))boxcylinder(partWidth/2,partZ);

				translate([+(partWidth/2+PNW*numberWall)/2,-(partWidth/2+PNW*numberWall)/2,0])
					color(rands(0,1,3))boxcylinder(partWidth/2,partZ);
			}
		if(numberPartHeight==2.5)
			translate([placeElementX,0,partZ])
			union(){
				translate([0,0,0])
					color(rands(0,1,3))boxSquareRound(partWidth+.5,partWidth/2-3+PNW,partZ);
			}
		if(numberPartHeight>=3)
			translate([placeElementX,0,partZ])
			union(){
				translate([0,+(partWidth/2+PNW*numberWall)/2,0])
					color(rands(0,1,3))boxSquareRound(partWidth+.5,partWidth/2-3+PNW,partZ);
				translate([0,-(partWidth/2+PNW*numberWall)/2,0])
					color(rands(0,1,3))boxSquareRound(partWidth+.5,partWidth/2-3+PNW,partZ);
			}
	}

}
module feelTopBox(partZ,partWidth,numberPartWidth,numberPartHeight){
			for (i=[1:1:numberPartWidth]){
				for (j=[1:1:numberPartHeight]){
					placeElementX=-realSizeBoxWidth/2+partWidth/2+2*PNW*numberWall+(i-1)*(partWidth+2*PNW*numberWall);
					placeElementY=-realSizeBoxHeight/2+partWidth/2+2*PNW*numberWall+(j-1)*(partWidth+2*PNW*numberWall);
					translate([placeElementX,0,partZ])
						union(){
							translate([0,+(partWidth/2+PNW*numberWall)/2,0])
								color(rands(0,1,3))boxSquareRound(partWidth+.5,partWidth/2-3+PNW,partZ);
							translate([0,-(partWidth/2+PNW*numberWall)/2,0])
								color(rands(0,1,3))boxSquareRound(partWidth+.5,partWidth/2-3+PNW,partZ);
						}
				}
			}
}

module boiteHomeMade(partZ,partWidth,numberPartWidth,numberPartHeight,bottom=false){
	difference(){
		//box top+bottom
		union(){
			bottomBox(partWidth,partZ,numberPartWidth,numberPartHeight);
			bottomCharniere(partWidth,partZ,numberPartWidth,numberPartHeight);
		}
		//percage bottom
		union(){
			if (bottom==true){
				for (i=[1:1:numberPartWidth]){
					placeElementX=-realSizeBoxWidth/2+partWidth/2+2*PNW*numberWall+(i-1)*(partWidth+2*PNW*numberWall);
					placeElementY=-realSizeBoxHeight/2+partWidth/2+2*PNW*numberWall;

					if(numberPartHeight>=1)
						translate([placeElementX,placeElementY,partZ-clearance/2])
							boxcylinder(partWidth+PNW,2*partZ);
					if(numberPartHeight==1.5)
						translate([placeElementX,-placeElementY,partZ-clearance/2])
						union(){
							translate([(partWidth/2+PNW*numberWall)/2,+partWidth/4,0])
								boxcylinder(partWidth/2+PNW,2*partZ);
							translate([-(partWidth/2+PNW*numberWall)/2,+partWidth/4,0])
								boxcylinder(partWidth/2+PNW,2*partZ);
						}
					if(numberPartHeight>=2)
						translate([placeElementX,-placeElementY,partZ-clearance/2])
						union(){
							translate([(partWidth/2+PNW*numberWall)/2,(partWidth/2+PNW*numberWall)/2,0])
								boxcylinder(partWidth/2+PNW,2*partZ);
							translate([-(partWidth/2+PNW*numberWall)/2,+(partWidth/2+PNW*numberWall)/2,0])
								boxcylinder(partWidth/2+PNW,2*partZ);
							translate([-(partWidth/2+PNW*numberWall)/2,-(partWidth/2+PNW*numberWall)/2,0])
								boxcylinder(partWidth/2+PNW,2*partZ);
							translate([+(partWidth/2+PNW*numberWall)/2,-(partWidth/2+PNW*numberWall)/2,0])
								boxcylinder(partWidth/2+PNW,2*partZ);
						}

					if(numberPartHeight==2.5)
						translate([placeElementX,0,partZ-clearance/2])
							union(){
							translate([0,0,0])
								boxSquareRound(partWidth+.5+PNW,partWidth/2-3+PNW,2*partZ);
							}
					if(numberPartHeight==3)
						translate([placeElementX,0,partZ-clearance/2])
							union(){
							translate([0,+(partWidth/2+PNW*numberWall)/2,0])
								boxSquareRound(partWidth+.5+PNW,partWidth/2-3+PNW,2*partZ);
							translate([0,-(partWidth/2+PNW*numberWall)/2,0])
								boxSquareRound(partWidth+.5+PNW,partWidth/2-3+PNW,2*partZ);
							}
		}
		bottomCharniereHole(partWidth,partZ,numberPartWidth,numberPartHeight);
		bottomCloseHole(partWidth,partZ,numberPartWidth,numberPartHeight);
		}
		else{
			if (output==1)translate([0,0,2*partZ-1])bottomBox(partWidth,partZ,numberPartWidth,numberPartHeight,PNW*numberWall);
			if (output==6){
			for (i=[1:1:numberPartWidth]){
				if(numberPartHeight%1!=0){
					placeElementX=-realSizeBoxWidth/2+partWidth/2+2*PNW*numberWall+(i-1)*(partWidth+2*PNW*numberWall);
					placeElementY=-realSizeBoxHeight/2+partWidth/2+2*PNW*numberWall-0.5*(partWidth+2*PNW*numberWall)+(partWidth/2+PNW*numberWall)/2;
					translate([placeElementX,placeElementY,partZ-clearance/2])
						boxSquareRound(partWidth+.5+PNW,partWidth/2-3+PNW,2*partZ);
				}
				for (j=[0.5:1:numberPartHeight-numberPartHeight%1]){
					echo ("j",j);
					placeElementX=-realSizeBoxWidth/2+partWidth/2+2*PNW*numberWall+(i-1)*(partWidth+2*PNW*numberWall);
					placeElementY=-realSizeBoxHeight/2+partWidth/2+2*PNW*numberWall+(j-0.5)*(partWidth+2*PNW*numberWall);;
					translate([placeElementX,-placeElementY,partZ-clearance/2])
						boxSquareRound(partWidth+PNW,partWidth+PNW,2*partZ);
				}//endloop
			}//endloop
			}//end 6
			if (output==7){
			for (i=[1:1:numberPartWidth]){
				for (j=[0.5:0.5:numberPartHeight]){
					placeElementX=-realSizeBoxWidth/2+partWidth/2+2*PNW*numberWall+(i-1)*(partWidth+2*PNW*numberWall);
					placeElementY=-realSizeBoxHeight/2+partWidth/2+2*PNW*numberWall+(j-1)*(partWidth+2*PNW*numberWall)+(partWidth/2+PNW*numberWall)/2;
					translate([placeElementX,placeElementY,partZ-clearance/2])
						boxSquareRound(partWidth+.5+PNW,partWidth/2-3+PNW,2*partZ);
				}//endloop
			}//endloop
			}//end 7

			topCharniereHole(partWidth,partZ,numberPartWidth,numberPartHeight);
		}
	}
	}
	if (bottom==false){
		topCharniereSphere(partWidth,partZ,numberPartWidth,numberPartHeight);
		topClose(partWidth,partZ,numberPartWidth,numberPartHeight);
	}
	else{
		//bottomCloseHole(partWidth,partZ,numberPartWidth,numberPartHeight,partZ);
	}
}

```


[User]
Hey there, I'm looking to generate a Christmas tree model in OpenSCAD, but I keep running into CGAL errors. I think it might be related to some complex helix extrusions I'm using. I'd like to try a different approach, and I'm hoping you can help me generate a parametric OpenSCAD design from scratch.

Here's what I'm aiming for:

The tree should have a main trunk that's a hollow cylinder, tapering from a wider base to a smaller top. It needs to have a number of branches that spiral around it, sort of like a DNA double helix. The cross-section of these branches should be a starburst shape. Finally, I want a star-like shape at the very top of the tree. The star can be made from a number of simple triangular prisms.

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

*   **`r1`**: Radius of the base of the main trunk cylinder.
*   **`r2`**: Radius of the top of the main trunk cylinder.
*   **`levels`**: Number of levels (or turns) in the spiral of branches.
*   **`level_dist`**: Vertical distance between each level of the spiral.
*   **`burst_r1`**: Outer radius of the top star's prism base.
*    **`burst_r2`**: Inner radius of the top star's prism base.
*   **`burst_number`**: Number of points in the star.
*   **`burst_height`**: Height of the triangular prisms making up the top star.
*  **`star_points`**: Number of points on the starburst cross-section.
*  **`star_inner_radius`**: Inner radius of the starburst cross-section.
*  **`star_outer_radius`**: Outer radius of the starburst cross-section.

I am using the dotSCAD library which has `helix_extrude`, `shape_starburst`, `rotate_p` functions. You don't need to worry about including the files for this. I have it already. I'm not attached to those functions, but that library has a `helix_extrude` function, so if there's a way to use that functionality in a way that doesn't crash, that would be great.

So, in summary, I need a parametric OpenSCAD design for a Christmas tree, consisting of a hollow tapered trunk, two helix extrusions forming branches with starburst cross-sections, and a star at the top, all customizable with the parameters described above.

Thanks so much for your help!

[Assistant]
christmas_tree.scad:
```
include <helix.scad>;
include <rotate_p.scad>;
include <cross_sections.scad>;
include <polysections.scad>;
include <helix_extrude.scad>;
include <shape_starburst.scad>;

$fn = 24;

r1 = 50;
r2 = 1;
levels = 12;
level_dist = 15;

burst_r1 = r1 * 2 / 10;
burst_r2 = r1 / 10;
burst_number = 5;
burst_height = r1 / 20;

module star(burst_r1, burst_r2, burst_number, burst_height) {
    a = 180 / burst_number;

    p0 = [0, 0, 0];
    p1 = [burst_r2 * cos(a), burst_r2 * sin(a), 0];
    p2 = [burst_r1, 0, 0];
    p3 = [0, 0, burst_height];

    module half_burst() {
        polyhedron(points = [p0, p1, p2, p3],
            faces = [
                [0, 2, 1],
                [0, 1, 3],
                [0, 3, 2],
                [2, 1, 3]
            ]
        );
    }

    module burst() {
        hull() {
            half_burst();
            mirror([0, 1, 0]) half_burst();
        }
    }

    module one_side() {
        union() {
            for(i = [0 : burst_number - 1]) {
                rotate(2 * a * i) burst();
            }
        }
    }

    one_side();
    mirror([0, 0, 1]) one_side();
}

module christmas_tree() {
    union() {
        translate([0, 0, (levels + 0.75) * level_dist]) rotate([0, -90, 0]) star(burst_r1, burst_r2, burst_number, burst_height);

        difference() {
            cylinder(h = (levels + 0.25) * level_dist, r1 = r1, r2 = r2 * 0.8);
            scale(0.95) cylinder(h = (levels + 0.25) * level_dist, r1 = r1, r2 = r2 * 0.8);
        }
    }

    shape_pts = shape_starburst(3, 1, 8);

    translate([0, 0, burst_r1 / 2]) union() {
        helix_extrude(shape_pts,
            radius = [r1, r2],
            levels = levels,
            level_dist = level_dist,
            vt_dir = "SPI_UP"
        );

        helix_extrude(shape_pts,
            radius = [r1, r2],
            levels = levels,
            level_dist = level_dist,
            vt_dir = "SPI_UP",
            rt_dir = "CLK"
        );
    }
}

christmas_tree();

```


[User]
I'm looking to create some parametric 8-bit style space invader ornaments using OpenSCAD. I want to be able to control the size of each "pixel", the overall thickness, and whether or not there is a hole for hanging.  I'd like to be able to define the invader shapes using ASCII art, similar to the attached example, so the code is configurable in that way.

Specifically, I need the following parameters to be adjustable:

*   `x_scale`: The width of a pixel.
*   `y_scale`: The height of a pixel.
*   `z_scale`: The thickness of the ornament.
*   `d_hole`: The diameter of the hanging hole (set to 0 for no hole).
*   `overlap`: an overlap value that ensures that the pixels which are not connected on an edge still intersect, this should be used to grow pixels as needed.

I'd also like the ability to define multiple invader shapes in an array of strings, where each string represents a row of pixels. I'd like to be able to differentiate between a normal solid pixel, an oversized solid pixel (for overlap), a normal solid pixel with a round hole, and two horizontally-adjacent pixels with a single round hole in the middle. Empty pixels should be defined by a space. I can provide an example of the array if needed.

I'd also like the code to generate multiple invaders in a row, with a space between them, based on this array, and choose between invaders with and without holes.

I'd like to keep a fairly high facet count by setting $fn to 32.

I think that's about it for now.

[Assistant]
Space_Invaders.scad:
```
// Parametric 8bit Space Invader Ornaments
// https://www.thingiverse.com/thing:3283969
// by Bikecyclist
// https://www.thingiverse.com/Bikecyclist
//
// Remix of
// Parametric 8bit Space Invader Ornaments
// https://www.thingiverse.com/thing:5080
// by 4volt
// https://www.thingiverse.com/4volt

// Size of "Pixel" in x Direction
x_scale = 4;

// Size of "Pixel" in y Direction
y_scale = 4;

// Thickness of Invader (in z Direction)
z_scale = 4;

// Diameter of Hole for Suspending the Invader (0 = no hole)
d_hole = 3;

// Extra size of "oversized" Pixel to ensure overlap with otherwise floating pixels
overlap = 1;

// Number of Facets
$fn = 32;

// Derived Parameters
X_scale = x_scale + overlap;
Y_scale = y_scale + overlap;

/* [Hidden] */

// Maximum Pixel Count in X Direction (one less than actual Pixels)
x_max = 15;

// Maximum Pixel Count in y Direction (one less than actual Pixels)
y_max = 7;

// Maximum Invader Count (one less than actual Invaders)
inv_max = 3;

// Invaders Definition
//
// invader [0]: without holes
// invader [1]: with holes
// invader [*][0:inv_max]: invader variant
// invader [*][*][0:ymax]: invader variant horizontal line
//
// Symbols used:
// SPACE - empty Pixel
// x - normal solid Pixel
// X - oversized solid Pixel to ensure overlap with "floating" pixels
// o - normal solid pixel with round hole
// q - two horizontally adjacent normal solid pixels with round hole ... works only if the next pixel to the right is defined as empty, though it will be rendered as solid

invader =
    [
        [
            [
                "    xx    ",
                "   xxxx   ",
                "  xxxxxx  ",
                " xx xx xx ",
                " xxxxxxxx ",
                "   X  X   ",
                "  X XX X  ",
                " x x  x x ",
            ],
            [
                "  X     X  ",
                "   X   X   ",
                "  xxxxxxx  ",
                " xx xxx xx ",
                "xxxxxxxxxxx",
                "x XxxxxxX x",
                "x X     X x",
                "   xx xx   ",
            ],
            [
                "    xxxx    ",
                " xxxxxxxxxx ",
                "xxxxxxxxxxxx",
                "xxx  xx  xxx",
                "xxxxxxxxxxxx",
                "   XX  XX   ",
                "  XX XX XX  ",
                "xx        xx",
            ],
            [
                "     xxxxxx     ",
                "   xxxxxxxxxx   ",
                "  xxxxxxxxxxxx  ",
                " xx xx xx xx xx ",
                "xxxxxxxxxxxxxxxx",
                "  xxx  xx  xxx  ",
                "   x        x   "
            ],
        ],
        [
            [
                "    q     ",
                "   xxxx   ",
                "  xxxxxx  ",
                " xx xx xx ",
                " xxxxxxxx ",
                "   X  X   ",
                "  X XX X  ",
                " x x  x x ",
            ],
            [
                "  O     O  ",
                "   X   X   ",
                "  xxxxxxx  ",
                " xx xxx xx ",
                "xxxxxxxxxxx",
                "x XxxxxxX x",
                "x X     X x",
                "   xx xx   ",
            ],
            [
                "    xq x    ",
                " xxxxxxxxxx ",
                "xxxxxxxxxxxx",
                "xxx  xx  xxx",
                "xxxxxxxxxxxx",
                "   XX  XX   ",
                "  XX XX XX  ",
                "xx        xx",
            ],
            [
                "     xxq xx     ",
                "   xxxxxxxxxx   ",
                "  xxxxxxxxxxxx  ",
                " xx xx xx xx xx ",
                "xxxxxxxxxxxxxxxx",
                "  xxx  xx  xxx  ",
                "   x        x   "
            ]
        ]
    ];

for (i = [0:inv_max])
    translate ([i * x_scale * (x_max + 2), 0, 0])
    invader (i, d_hole==0?0:1);

module invader (i, j)
{
    for (x = [0:x_max], y = [0:y_max])
        translate ([x * x_scale, -y * y_scale, 0])
            linear_extrude (z_scale)
                invader_tile (invader [j][i][y][x]);
}

module invader_tile (tile)
{
    if (tile == "x")
        square ([x_scale, y_scale], center = true);
    else if (tile == "X")
        square ([X_scale, Y_scale], center = true);
    else if (tile == "o")
        difference ()
        {
            square ([x_scale, y_scale], center = true);

            circle (d = d_hole);
        }
    else if (tile == "O")
        difference ()
        {
            square ([X_scale, Y_scale], center = true);

            circle (d = d_hole);
        }
    else if (tile == "q")
        translate ([x_scale/2, 0])
        difference ()
        {
            square ([2 * x_scale, y_scale], center = true);

            circle (d = d_hole);
        }
}

```