[User]
I'd like a parametric OpenSCAD design for cat ears, similar to the ones you often see at CCC events. I want the design to be highly customizable, with parameters for all the major dimensions.

Specifically, the design should have these main parts: a headband, two ears, and optional spikes on the headband.

The headband should be made up of three sections: an upper arc, a middle section, and a lower section that curves around the back of the head. I need to be able to control the radius and angle of each of these sections, as well as the overall height and width of the band itself. I also need to control the radius of the rounded end caps.

The ears should have a curved, pointy shape and connect to the headband at a specified angle. I want parameters for the ear's curvature radius, length, base width, tip width, and the radius of the connector that attaches it to the headband. It'd be great if the ears are mirrored and can be placed along the upper arc, with their horizontal spacing and number customizable.

The spikes should be optional, and I need to be able to control their angle, depth, height (both at the base and tip), width, and density along the headband. I should also be able to specify if the spikes are attached to the main band or to the inner edge, and ideally, there would also be the ability to add a second set of protection spikes, so that the edges of the whole band are protected.

Finally, I'd like the option to include a recess within the headband, possibly for electronics like a "Rudelblinken" PCB. This recess should have parameters for depth and width. It should also be possible to control if the recess is on the inside or outside of the band. I'd also want to parameterize the specific dimensions of a rudelblinken board so it can be used as a reference for the recess. If the PCB is enabled, I'd like a cut-out for the USB port as well.

I would like all the major dimensions to be controlled using parameters so that the entire design can be generated and customized in OpenSCAD. I don't need any specific libraries, though I guess if any common utility functions are needed, something like BOSL2 would be fine for things like parametric curves.

[Assistant]
cat-ears.scad:
```
/*[ Headband ]*/

// Radius of the circle that makes up the upper half of the headband
upperRadius = 56; // [20:120]
// This angle determines the size of the upper half
upperAngle = 80; // [40:140]
// Radius of the circle that makes up the middle part of the headband
middleRadius = 80; // [20:120]
// This angle determines the size of the middle part of the headband
middleAngle = 30; // [0:90]
// This angle determines the size of the bottom half
bottomAngle = 30; // [0:120]
// Radius of the partial circles of the bottom half
bottomRadius = 100; // [20:600]
// Radius of the end bits at the very bottom
endRadius = 10; // [0:50]

// Height of the headband
height = 6; // [0:0.1:30]
// Width of the headband
width = 2.7; // [0:0.1:30]

/*[ Ears ]*/

// Where the ears are located on the headband
earPositionAngle = 40; // [0:90]

// Radius of the curvature of the ears sides
earRadius = 120; // [10:500]
// Roughly how the ears are
earLength = 45; // [10:500]
// The width of the ears
earWidth = 50; // [10:120]
// How wide the tip of the ear is
earTipWidth = 5; // [2:40]
// How big the angle of the ears base is
earConnectorRadius = 7; // [2:50]

/*[ Spikes ]*/

// How much of the upper ring has spikes (in degrees)
// Should be smaller than upperAngle otherwise spikes will be detached
spikesAngle = 80; // [0:120]
// How long the spikes are. Increase for more grip
spikeDepth = 2.5; // [0:0.1:10]
// How high the spikes are.
spikeHeight = 4; // [0:0.1:10]
// How high the spikes are at the tip.
spikeHeightEnd = 1.5; // [0:0.1:10]
// How wide the spikes are.
spikeWidth = 1.4; // [0:0.1:20]
// Spikes per cm
spikeDensity = 3; // [0.1:0.01:20]

/*[ Rudelblinken ]*/

// Enable support for a rudelblinken PCB
enableRudelblinken = false;

/*[ LED recess ]*/

// How deep the recess should be
recessDepth = 0; // [0:0.05:5]
// How wide the recess should be
recessWidth = 4; // [0:0.1:20]

// Secret section with a boring name
/*[ About ]*/

// How good you are at hearing
hearingAbility = 2; // [0:1:10]

// Enable extra protection
protection = false;

/*[ Hidden ]*/
rudelblinken_board_height = 1.6;
rudelblinken_board_length = 33.6;

module mirror_copy(vector)
{
    children();
    mirror(vector) children();
}

// recessSide can be "outer" or "inner"
module angled_thing(r, angle, h = height, spikesAngle = 0, spikeOffset = 0, recessSide = "outer")
{
    translate([ -r, 0, 0 ])
    rotate_extrude(convexity = 10, $fa = 0.01, angle = angle)
    translate([ r, 0, 0 ])
    mirror([recessSide == "inner" ? 1 : 0,0,0])
    polygon([
        [width/2, h/2],
        // [width/2, h/2 - recessWidth/2],
        [width/2, min(h/2,recessWidth/2 + abs(recessDepth))],
        [width/2 - recessDepth, recessWidth/2],
        [width/2 - recessDepth, -recessWidth/2],
        [width/2, -recessWidth/2],
        [width/2, -h/2],
        [-width/2, -h/2],
        [-width/2, h/2]]);
    // square([ width, h ], center = true);

    // Spikes if requested
    spikesDirection = spikesAngle > 0 ? 1 : -1;
    spikesAngle = abs(spikesAngle);
    distance = r * 2 * PI * (spikesAngle / 360);
    spikeDistance = 10 / spikeDensity;
    spikeAngleDistance = spikesAngle / (distance / spikeDistance);
    spikeOffset = ((((0.5 * spikeDistance) -abs(spikeOffset) )% spikeDistance)+spikeDistance)%spikeDistance;
    spikeAngleOffset =  spikesAngle / (distance / spikeOffset);
    for (spikeAngle = [spikeAngleOffset:spikeAngleDistance:spikesAngle])
    {
        translate([ -r, 0, 0 ])
        rotate([ 0, 0, spikesDirection * spikeAngle])
        translate([ r - width / 2, 0, 0 ])
        rotate([0,0,-90])
        spike();
    }
    if (protection){
        spikesDirection = angle > 0 ? 1 : -1;
        spikesAngle = abs(angle);
        distance = r * 2 * PI * (spikesAngle / 360);
        spikeDistance = 10 / spikeDensity;
        spikeAngleDistance = spikesAngle / (distance / spikeDistance);
        spikeOffset = ((((0.5 * spikeDistance) -abs(spikeOffset) )% spikeDistance)+spikeDistance)%spikeDistance;
        spikeAngleOffset =  spikesAngle / (distance / spikeOffset);
        for (spikeAngle = [spikeAngleOffset:spikeAngleDistance:abs(angle)])
        {
            translate([ -r, 0, 0 ])
            rotate([ 0, 0, spikesDirection * spikeAngle])
            translate([ r - width / 2, 0, 0 ])
            translate([recessSide == "inner" ? 0 : width,0,0])
            rotate([0,0,recessSide == "inner" ? -90 : 90])
            spike();
        }
    }
}

module shift_angled(r = 0, angle = 0)
{
    translate([ -r, 0, 0 ])
    rotate([ 0, 0, angle ])
    translate([ r, 0, 0 ])
    children();
}

function dist(p1, p2) = sqrt(pow(p2[0] - p1[0], 2) + pow(p2[1] - p1[1], 2));

// module funny_beam(start_angle=45,length=50, r1=10, r2=20){

//     center_a = [r1*cos(start_angle),r1*sin(start_angle)];
//     center_b = [0 , length];

//     rr1 = r1+r2;
//     rr2 = r2;

//     d = dist(center_a, center_b);

//     // Find the point P2 which is the point where the line through the intersection points crosses the line between the circle centers
//     l = (rr1^2 - rr2^2 + d^2) / (2 * d);

//     // Distance from P2 to the intersection points
//     h = sqrt(rr1 ^ 2 - l ^ 2);

//     center_c = [
//         (l/d)*(center_b[0]-center_a[0]) - (h/d)*(center_b[1]-center_a[1]) + center_a[0],
//         (l/d)*(center_b[1]-center_a[1]) + (h/d)*(center_b[0]-center_a[0]) + center_a[1],
//     ];

//     angle_ca = atan2(center_c[1]-center_a[1], center_c[0]-center_a[0]);
//     angle_cb = atan2(center_c[1]-center_b[1], center_c[0]-center_b[0]);
//     angle_connection = start_angle + 180 - angle_ca;

//     mirror([1,0,0])
//     rotate([0,0,-start_angle]){
//     %angled_thing(r = r1, angle = angle_connection);
//     shift_angled(r = r1, angle = angle_connection)
//     mirror([1,0,0])
//     %angled_thing(r = r2, angle =  (360+angle_cb -angle_ca) %360);
//     }

// }
// funny_beam();

// A single ear. Centered
module ear(start_angle=0){
    r1=earConnectorRadius;
    r2=earRadius;

    earSideWidth = (earWidth - earTipWidth)/2;
    earSideHeight = earLength;
    earSideLength = sqrt(earSideWidth^2 + earSideHeight^2);

    earSideAngle = atan(earSideWidth/earSideHeight);

    start_angle = 90 - earSideAngle - start_angle;

    center_a = [r1*cos(start_angle),r1*sin(start_angle)];
    center_b = [0 , earSideLength];

    rr1 = r1+r2;
    rr2 = r2;

    d = dist(center_a, center_b);

    // Find the point P2 which is the point where the line through the intersection points crosses the line between the circle centers
    l = (rr1^2 - rr2^2 + d^2) / (2 * d);

    // Distance from P2 to the intersection points
    h = sqrt(rr1 ^ 2 - l ^ 2);

    center_c = [
        (l/d)*(center_b[0]-center_a[0]) - (h/d)*(center_b[1]-center_a[1]) + center_a[0],
        (l/d)*(center_b[1]-center_a[1]) + (h/d)*(center_b[0]-center_a[0]) + center_a[1],
    ];

    angle_ca = atan2(center_c[1]-center_a[1], center_c[0]-center_a[0]);
    angle_cb = atan2(center_c[1]-center_b[1], center_c[0]-center_b[0]);
    angle_connection = start_angle + 180 - angle_ca;
    angle_side = (360+angle_cb -angle_ca) %360;
    angle_tip = 90-(angle_side + start_angle - angle_connection)-earSideAngle;

    tip_radius = earTipWidth /2 / sin(angle_tip) ;

    mirror_copy([1,0,0])
    translate([earWidth/2,0,0])
    rotate([0,0,earSideAngle])
    mirror([1,0,0])
    rotate([0,0,-start_angle]){
    angled_thing(r = r1, angle = angle_connection, recessSide = "inner");
    shift_angled(r = r1, angle = angle_connection)
    mirror([1,0,0]){
    angled_thing(r = r2, angle =  angle_side);
    shift_angled(r = r2, angle = angle_side )
    angled_thing(r = tip_radius, angle = angle_tip, spikeOffset = r1 * sin(angle_side)  );
    }
    }
}

module lower_half(enableRudelblinken = enableRudelblinken) {
     // Main beam until the rudelblinke board
    angled_thing(r = bottomRadius, angle = -bottomAngle + rudelblinken_board_angle_length);

    bottom_circumference = bottomRadius * 2 * PI;
    rudelblinken_board_angle_length = 360 * (rudelblinken_board_length / bottom_circumference);
    shift_angled(r = bottomRadius, angle = -bottomAngle + rudelblinken_board_angle_length)
    if (enableRudelblinken){
    second_lower_half_with_rudelblinken();
    }else {

    second_lower_half_without_rudelblinken(angle = rudelblinken_board_angle_length);
    }
}

// The bottom part of the headband with a slot for a rudelblinken board
module second_lower_half_with_rudelblinken() {
     // Main beam until the rudelblinke board
    bottom_circumference = bottomRadius * 2 * PI;
    rudelblinken_board_angle_length = 360 * (rudelblinken_board_length / bottom_circumference);
    difference() {
        hull()
        {
            shift_angled(r = bottomRadius, angle = -rudelblinken_board_angle_length)
            round_end_thing();
            angled_thing(r = bottomRadius, angle = -rudelblinken_board_angle_length);
            rotate([ 180, 0, 0 ])
            rotate([ 0, 90, 0 ])
            rudelblinken(h = width);
        }

        // Subtract the inner part of the hull that gets filled by the hull operation above
        translate([-bottomRadius,0,0])
        cylinder($fs= 1,$fa=0.1,h = height*10, r = bottomRadius-(width/2), center = true);

        board_height_with_recess = rudelblinken_board_height + recessDepth;

        // Subtract the actual rudelblinken PCB
        rotate([ 180, 0, 0 ])
        rotate([ 0, 90, 0 ])
        translate([0,0, width / 2 - board_height_with_recess /2]){
        rudelblinken(h = board_height_with_recess + 0.01);
        // Dirty hack to have no overhang, when the pcb is slimmer than height
        translate([height/2,0,0])
        rudelblinken(h = board_height_with_recess + 0.01);
        }

        // USB c port cutout
        translate([width / 2 - recessDepth,-rudelblinken_board_length-20+0.1,-1.5]){
            translate([0,0,1.5])
            cube([20,20,6]);
            translate([1.5,0,0])
            cube([20,20,9]);
            translate([1.5,0,1.5])
            rotate([-90,0,0])
            cylinder(h=20,d=3,$fn=20);
            translate([1.5,0,7.5])
            rotate([-90,0,0])
            cylinder(h=20,d=3,$fn=20);
        }

    }
}

// The bottom part of the headband with a slot for a rudelblinken board
module second_lower_half_without_rudelblinken(angle) {
    shift_angled(r = bottomRadius, angle = -angle)
    round_end_thing();
    angled_thing(r = bottomRadius, angle = -angle);
}

// The thing at the very end of the headband
module round_end_thing() {
    rotate([ 0, 0, 180 ])
    {
        angled_thing(r = endRadius, angle = bottomAngle, recessSide = "inner");
        shift_angled(r = endRadius, angle = bottomAngle)
        cylinder(d = width, h = height, $fn = 16, center = true);
    }
}

// The spike make sure you dont lose your ears
module spike()
{
    rotate([ 90, 0, 0 ]) scale([ spikeWidth / spikeHeight, 1, 1 ])
    {
        cylinder($fn = 9, d1 = spikeHeight, h = spikeDepth, d2 = spikeHeightEnd, center = false);
        translate([ 0, 0, -width / 2 ]) cylinder(d = spikeHeight, h = width / 2, center = false);
    }
}

module rudelblinken_shape(center = true)
{

    translate([ -2.5,0,0 ]) polygon([
        [ 0, 0 ],
        [ 5, 0 ],
        // [ 5, 5.2 ],
        // [ 6.5, 6.2 ],
        [ 10.1, 14.4 ],
        [ 10.1, 33.6 ],
        [ 0, 33.6 ],
    ]);
}
module rudelblinken(h = rudelblinken_board_height, center = true)
{
    translate([ 0, 0, center ? -h / 2 : 0 ]) linear_extrude(height = h)
        rudelblinken_shape(center);
}

for(side = ["right", "left"])
mirror([side == "left" ? 1 : 0,0,0])
translate([0,upperRadius,0])
rotate([0,0,90])
{
    angled_thing(r = upperRadius, angle = -upperAngle, spikesAngle = -min(spikesAngle, upperAngle));
    shift_angled(r = upperRadius, angle = -upperAngle){
        angled_thing(r = middleRadius, angle = -middleAngle, spikesAngle = -min(max(spikesAngle-upperAngle, 0), middleAngle, spikeOffset = (upperAngle/upperRadius)*2*PI*upperRadius));
        shift_angled(r = middleRadius, angle = -middleAngle)
        lower_half(enableRudelblinken = (enableRudelblinken && (side=="left")));
    }

    relevant_angle = ((earWidth / 2)/(2*PI*upperRadius)) * 360;
    relevant_length = upperRadius - sqrt( upperRadius^2 - (earWidth/2)^2);
    // echo(relevant_angle);
    // echo(relevant_length);
    if (hearingAbility >= 1){
        earStartPosition = hearingAbility <= 1 ? 0 : earPositionAngle;
        earDistance = earPositionAngle*2 / (hearingAbility - 1);
        for(earPosition = [-earStartPosition:earDistance:earPositionAngle])
        shift_angled(r = upperRadius, angle = -earPosition)
        translate([-relevant_length,0,0])
        rotate([0,0,-90])
        ear(start_angle = relevant_angle);
    }
}

```


[User]
I'm looking to design a customizable picture hanger that uses tesa powerstrips. I've seen some designs that allow for different strip sizes and I'd like to create something similar, but parametric.

The basic design consists of a flat base that attaches to the wall via the powerstrip, and a hook that extends from the base to hold the picture frame. I'd like to be able to adjust the dimensions of the base based on the type of powerstrip I am using, and also adjust the hook's height and size.

Specifically, I want to be able to choose between different tesa powerstrip types, which should automatically adjust the base dimensions to fit. I need to be able to choose between "Wallpaper and Plaster (1kg)", "Small (smooth surface 0.75kg)", and "Large (smooth surface 1.5kg)". I'd also like to have a custom option so I can specify the exact width and height of the base.

The hook itself should extend from the base, with a configurable gap between the base and the tip of the hook. The hook should be angled slightly, so it has a sort of "lip" to securely hold the picture. I need a variable to set the base thickness as well.

Finally, I would like to have an option to double the base width, basically creating a two-strip version for extra strength.

I'd like the design to be created in OpenSCAD. Please let me know if you need any further information from me. I am not aware of any particular libraries that would be useful for this.

[Assistant]
PowerStripPictureHolderCustomized0.7.scad:
```

powerstrip_type = "first"; //  [first:Custom,second:Wallpaper and Plaster (1kg),third:Small (smooth surface 0.75kg),fourth:Large (smooth surface 1.5kg)]

// only for custom type
width = 21; // [5:40]
// only for custom type
height = 65; // [10:80]

// Thickness of the base. 1-2 mm should be fine.
base_thickness = 1; // [1:10]

// Gap between the base and the tip of the hook.
hook_gap = 6; // [3:20]

// Two strip version is twice as wide and doubles the strength
two_strip_version = 1; // [1:no,2:yes]

/* [Hidden] */

ts=two_strip_version;

z = hook_gap;
z_base = base_thickness;

print_part();

module print_part(){
    if (powerstrip_type == "first"){
      stripMutable(width,height);
    } else if (powerstrip_type == "second"){
      stripMutable(21,65); // Wallpaper
    } else if (powerstrip_type == "third"){
      stripMutable(14,27); // Small
    } else if (powerstrip_type == "fourth"){
      stripMutable(20,40); // Large
    }
}

module stripMutable(x,y){

  y2 = y-z*tan(60); //y-x/2; // Herausstehnde Ecke

  translate([0,-y/2,0]){
    union(){
      translate([-x/2*ts,0,0])
        cube([x*ts,y,z_base]);
      translate([-x/2,0,z_base]){
        points = [
          [x/2,0,0],  //0
          [x,y2,0],  //1
          [x/2,y-z*tan(30),0],  //2
          [0,y2,0],  //3
          [x/2,y,z],  //4
        ];

        faces = [
          [3,2,1,0], // bottom
          [0,1,4], // right
          [0,4,3], // left
          [2,3,4], // backLeft
          [2,4,1], // backRight
        ];

        polyhedron(points, faces);
      }
    }
  }
}
```


[User]
Hey, I'm looking to get a parametric design for a pull-apart capsule, kind of like a small parts box you might see for drill bits or something. I'd like to be able to adjust the overall dimensions, wall thickness, and the detents that hold the two halves together. It should also have an option to include some recessed text.

Here's what I'm thinking:

*   **Basic Shape:** A cylindrical capsule with two halves that fit together. The inner half should be taller than the outer half, and the fit should be snug but not too tight.
*   **Parametric Dimensions:** I'd need to control the overall height, the inner diameter of the capsule, the wall thickness (including the number of walls), and the nesting ratio (how far the outer half slides over the inner half).
*   **Detents:** I need to have a series of detents, basically like corrugations, that allow the two halves to snap together. The detents should be adjustable by depth, length, and the spacing between them.
*   **Text Recess:** I want to include an option to add some recessed text to the capsule. This would need to be customizable in terms of what text is displayed, its size, font, and depth. And probably be on the top, bottom and side.
*   **Corner rounding**: I'd like to have a parameter to set a corner rounding ratio for the inner and outer capsule edges.
*   **Printing:** It would be best if it's designed to be printed without supports. I prefer to use a thin, flexible material like PETG.

I'd like this to be done in OpenSCAD, using the standard libraries. Can you help me generate the necessary .scad file?

[Assistant]
capsule-text.scad:
```
$line_width = 0.37; //thickness of walls

height = 60; //height of capsule
width = 20; //inner half inner diameter
walls = 2; //number of walls to print
edge = 0.1; //corner ratio
nest = 0.8; //nesting ratio

detent_depth = 1.5; //depth of corrugations
detent_length = 2; //determines slope
detent_period = 3.5; //distance between detents

custom_text="Taps"; //label
$font_size=6;

tol=0.2; //tolerance
overlap=0.001; //fix rendering

thick = walls * $line_width; //calc thickness

width2=width+2*thick+2*tol; //calc outer half ID
height2=height*nest;

module corr_cube(corr_width=undef,corr_height=undef){
    rotate([0,0,45]){
        union(){
            for (i = [0:detent_period+2*detent_length:corr_height-2*detent_period]){
                translate([0,0,i]){
                    translate([0,0,detent_period/2+detent_length])
                        cube([corr_width,corr_width,detent_period+overlap],center=true);
                    translate([0,0,detent_period+detent_length]){
                        linear_extrude(height=detent_length+overlap,scale=1-detent_depth/corr_width)
                            square(corr_width,center=true);
                            }
                    translate([0,0,detent_length]){
                        mirror([0,0,1])linear_extrude(height=detent_length+overlap,scale=1-detent_depth/corr_width)
                            square(corr_width,center=true);
                            }
                    translate([0,0,detent_length*3+detent_period]){
                        mirror([0,0,1])linear_extrude(height=detent_length+overlap,scale=1-detent_depth/corr_width)
                            square(corr_width,center=true);
                    }
                            translate([0,0,detent_period*3/2+detent_length*3])
                        cube([corr_width,corr_width,detent_period+overlap],center=true);
                }
            }
        }
    }
}

module capsule(cap_width=undef,cap_height=undef){

ext_width=cap_width+thick*2; //calc outer diameter of inner half
corner=sqrt(2*cap_width*cap_width)*(1-edge); //calc corner ID
ext_corner=corner+2*thick; //clc corner ID

    difference(){
        intersection(){
            translate([0,0,cap_height/2])cube([ext_width,ext_width,cap_height],center=true);
            corr_cube(ext_corner,cap_height);
        }
        translate([0,0,thick])intersection(){
            translate([0,0,cap_height/2])cube([cap_width,cap_width,cap_height],center=true);
            corr_cube(corner,cap_height);
        }
    }
}

module text_recess(txt, font_size, depth) {
    linear_extrude(depth)
    text(txt, size=font_size, font="Liberation Sans:style=Bold", halign="center", valign="center");
}

difference() {
    capsule(width,height);

    // Recessed text on bottom
    translate([0,0,-thick/2])
    mirror([1,0,0])text_recess(custom_text, $font_size, thick);

}

difference() {
    translate([width*1.2,0,0])
    capsule(width2,height2);

    // Recessed text on outer wall
    translate([width*1.2,-width2/2-0.5*thick,height2/2])
    rotate([90,90,0])
    text_recess(custom_text, $font_size, 1);

    // Recessed text on bottom
    translate([width*1.2,0,-thick/2])
    mirror([1,0,0])text_recess(custom_text, $font_size, thick);
}

```


[User]
Hey there, I'm looking to get a parametric Allen key holder designed in OpenSCAD, and I've got a pretty specific set of features I'd like to include. I've seen a few designs out there, but none quite do everything I need.

Essentially, I need a holder with slots for a range of Allen key sizes. I'd like to be able to define the sizes of the keys I'm using, as well as the gap between the slots, wall thickness, a tolerance for each slot to make insertion and removal easier, the overall height of the holder, and the height and angle of a cut across the top of the holder for better visibility. So I'm thinking, like, a standard parametric setup.

But what's really crucial is that each slot has a label. It should be possible to toggle the labels on and off, set their height (including the ability to deboss instead of emboss), set a margin from the bottom of the holder, adjust horizontal alignment, and even make the labels vertical instead of horizontal.

Finally, I want the user to have the option to switch between a smooth, flat-sided body and a bumpy, hexagonal body.

Here's the parameter breakdown so we're on the same page:

*   **`sizes`**:  A list of Allen key sizes (e.g., `[10, 9, 8, 7, 6, 5.5, 5, 4.5, 4, 3, 2.5, 2, 1.5]` for metric).
*   **`labels`**: A list of strings for the labels, corresponding to the sizes. If I'm using metric keys, these would look like this: `["10mm", "9mm", "8mm", "7mm", "6mm", "5.5mm", "5mm", "4.5mm", "4mm", "3mm", "2.5mm", "2mm", "1.5mm"]` or for imperial, `["3/8\"", "5/16\"", "1/4\"", "7/32\"", "3/16\"", "5/32\"", "9/64\"", "1/8\"", "7/64\"", "3/32\"", "5/64\"", "1/16\""]`
*   **`spacing`**:  The gap between the slots.
*   **`thickness`**:  The wall thickness around the slots.
*   **`tolerance`**:  The amount to oversize each slot for easier key insertion.
*   **`height`**: The overall height of the holder.
*   **`cut_height`**: The starting height of the cut along the top of the holder.
*   **`cut_angle`**:  The angle of the cut from horizontal.
*   **`labels_enable`**:  A toggle (0 or 1) to enable/disable labels.
*   **`labels_height`**:  The height of the labels (positive to emboss, negative to deboss).
*   **`labels_margin`**:  The distance from the bottom of the holder where labels are placed.
*   **`labels_align`**: Horizontal alignment of labels ("left", "center", or "right").
*   **`labels_vertical`**: A toggle (0 or 1) to make labels vertical.
*   **`smooth_body`**:  A toggle (0 or 1) to choose between flat or hexagonal body.

I'm thinking it would be good to generate all the geometry from scratch. I want to keep the design as simple as possible to understand, and not include any third party libraries for now. I'm primarily using a single hex key set so I'll have either metric or imperial sizes, but never mixed. I'm going to use OpenSCAD for my renders, and I don't expect any further interaction with the Customizer UI.

[Assistant]
allen_holder.scad:
```
//==================================================================================
//
//               Simple Parametric Allen Hex Key Holder, with text!
//
// Author:  Heath Raftery
// Origin:  https://www.thingiverse.com/thing:6805545
// License: Creative Commons - Attribution - Share Alike
//
// See the description on Thingiverse for instructions on use.
//
//==================================================================================

// The following parameters are formatted to suit Customizer on Thingiverse.
// Customizer doesn't support boolean variables, hence the "0:false" trick. It also
// doesn't support arrays of strings, and the preview doesn't show the text anyway,
// so working with labels has to be done in OpenSCAD. Besides, it renders the slope
// in the opposite direction to OpenSCAD! So this may have been all in vain. For
// now, use OpenSCAD (and call for Customizer improvements!).

//List the Allen Key sizes
sizes = [ 10, 9, 8, 7, 6, 5.5, 5, 4.5, 4, 3, 2.5, 2, 1.5 ];
//Labels to use for each slot, if labels_enable is true
labels = [ for(i=[0:len(sizes)-1]) str(sizes[i], "mm") ];
//Gap between Allen Key slots
spacing = 1;
//Width of the wall around each Allen Key
thickness = 3;
//Amount to oversize each Allen Key slot
tolerance = 0.05;
//Height of the holder
height = 30;
//Starting height of the sloping cut along the top of the holder
cut_height = 21;
//Angle down from horizontal of the cut along the top of the holder
cut_angle = 5;
// If true, add labels to each of the Allen Key slots
labels_enable = 1; // [0:false, 1:true]
// Text embossing height (make negative to deboss)
labels_height = 0.75;
// Distance from bottom of holder
labels_margin = 12;
// Horizontal alignment of the labels
labels_align = "right"; // [left, center, right]
// If true, the characters in each label are vertical (read top to bottom).
labels_vertical = 0; // [0:false, 1:true]
// If true, use flat surfaces for the body. If false, use hexagons.
smooth_body = 0; // [0:false, 1:true]

// Customizer also doesn't support extra comments, so alternate setting
// ideas are collected here for reference instead:
//labels_margin = height-1;
//labels = [ "10mm", "9mm", "8mm", "7mm", "6mm", "5.5mm", "5mm", "4.5mm", "4mm", "3mm", "2.5mm", "2mm", "1.5mm" ];
//sizes = 25.4 * [ 3/8, 5/16, 1/4, 7/32, 3/16, 5/32, 9/64, 1/8, 7/64, 3/32, 5/64, 1/16];
//labels =  [ "3/8\"", "5/16\"", "1/4\"", "7/32\"", "3/16\"", "5/32\"", "9/64\"", "1/8\"", "7/64\"", "3/32\"", "5/64\"", "1/16\""];
//labels =  [ "3\"8", "5\"16", "1\"4", "7\"32", "3\"16", "5\"32", "9\"64", "1\"8", "7\"64", "3\"32", "5\"64", "1\"16"];

//===========
// Constants
//===========

size0 = sizes[0];
size1 = sizes[len(sizes)-1];

//Centre to centre distance from the first hole to the last hole.
max_centre_to_centre =
  hexagon_radius(size0, tolerance) +
  sum([for(i=[1:len(sizes)-2]) 2*hexagon_radius(sizes[i], tolerance)]) +
  hexagon_radius(size1, tolerance) +
  spacing * (len(sizes)-1);

x0=0;                         //first hole is at the origin
x1=x0 + max_centre_to_centre; //last hole is max centre to centre away

//extents in x-y plane
tl=[x0, hexagon_radius(size0, tolerance)+thickness]; //top-left
tr=[x1, hexagon_radius(size1, tolerance)+thickness]; //top-right
bl=[x0,-hexagon_radius(size0, tolerance)-thickness]; //bottom-left
br=[x1,-hexagon_radius(size1, tolerance)-thickness]; //bottom-right

//===========
// Functions
//===========

//From https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Tips_and_Tricks#Add_all_values_in_a_list
function sum(v) = [for(p=v) 1]*v;
//Radius of the circle enclosing a hexagon of the given width (size).
function hexagon_radius(size, tolerance) = (size * 2 / tan(60) + tolerance) / 2;
function interpolate_size(x) = size0 + x*(size1-size0)/(x1-x0);
function halign_to_valign(a) = a == "right"  ? "top" :
                               a == "center" ? "center" :
                                               "bottom";

//=========
// Modules
//=========

module hexes(array, spacing=0, offset=0, index=0) {
  r = hexagon_radius(array[index], tolerance);
  rotate([0, 0, 30])
    circle(r=r + offset, $fn= offset==0 ? 24 : 6);

  if (index < len(array) - 1) {
    r_2 = hexagon_radius(array[index+1], tolerance);
    translate([r + r_2 + spacing, 0, 0])
    hexes(array, spacing, offset, index + 1);
  }
}

module texts(array, spacing=0, offset=0, index=0, x=0) {
  r = hexagon_radius(array[index], tolerance);
  r_smooth = hexagon_radius(interpolate_size(x), tolerance);
  //Offset on the y-axis is either (for a smooth body) the radius of the imaginary circle
  //fitting in the walls at this x offset, or (for a bumpy body) the outer hexagon size.
  y = smooth_body ? r_smooth+offset : (r+offset) * cos(30);
  //Account for the non-flat wall at the first and last label, and fill in the gap
  y_fudge = labels_height >= 0 && smooth_body ? 1.5 :
  //Otherwise, account for the recessing if labels are to be debossed
            labels_height < 0 ? -labels_height : 0;

  abs_height = labels_height >= 0 ? (smooth_body ? labels_height + offset : labels_height)
                                  : -labels_height;

  rotate([0, 0, smooth_body ? 0 : 30])    //leave on the y-axis, or put on the outer hexagon face
    translate([smooth_body ? (labels_vertical ? 2 : 1.5) : 0,
               -y+y_fudge,
               labels_margin])            //position on body wall
      rotate([90,                         //turn vertical
              labels_vertical ? 0 : -90,  //orient up/down the wall
              smooth_body ? 4 : 0])       //if smooth, account for wall angle.
        linear_extrude(abs(labels_height) + y_fudge)
          text(labels[index],
               smooth_body ? (labels_vertical ? 3.5 : 3) : 2,
               "Sukhumvit:style=Bold",
               halign=labels_vertical ? "center" : labels_align,
               valign=labels_vertical ? halign_to_valign(labels_align) : "baseline",
               spacing=labels_vertical ? 0.95 : 1.2,
               direction=labels_vertical ? "ttb" : "ltr");

  if (index < len(array) - 1) {
    r_2 = hexagon_radius(array[index+1], tolerance);
    translate([r + r_2 + spacing, 0, 0])
      texts(array, spacing, offset, index + 1, x + r + r_2 + spacing);
  }
}

//========
//  Main
//========

difference() {
  union() {
    linear_extrude(height)
      difference() {
        if(smooth_body)
          //hull() would be much simpler, but produces walls that are not flat,
          //making it extremely hard to place text on them. So make walls that
          //are smooth from first hole to last.
          union() {
            polygon([tl, tr, br, bl]);
            difference() {
              hexes(sizes, spacing, thickness);
              polygon([tl,tr,[0,100]]);  //trim off hexagon corners sticking out above
              polygon([bl,br,[0,-100]]); //trim off hexagon corners sticking out below
            }
          }
        else
          hexes(sizes, spacing, thickness);
        hexes(sizes, spacing);
      };

    if(labels_enable && labels_height > 0)
      texts(sizes, spacing, thickness);
  }

  if(labels_enable && labels_height < 0)
    texts(sizes, spacing, thickness);

  rotate([0, cut_angle, 0])
    translate([0, 0, 500+cut_height])
      cube([1000, 1000, 1000], center=true);
}

```


[User]
I need a fuel petcock knob designed for a motorcycle. I'm looking for a parametric OpenSCAD design so I can customize it for different bikes.

The basic shape is a cylinder that connects to the fuel valve, a disc on top of that, and then a knob on top of the disc. The knob is sort of a rounded shape with a raised central portion. Here are the specific parameters I'd like to be able to adjust:

*   **`interface_shape`**: This will be either "square" or "spline". If "square" it should use the `interface_width` variable, and if spline, then use the spline parameters
*   **`reserve`**: This is either "up" or "down", and controls the text orientation.
*   **`interface_width`**:  The width of the square interface that connects to the fuel valve. Only used when `interface_shape="square"`.
*   **`interface_spline_r_in`**: The inside radius of the spline.
*   **`interface_spline_r_out`**: The outside radius of the spline.
*   **`interface_spline_teeth`**: The number of teeth on the spline.
*   **`interface_depth`**: The depth of the interface that connects to the fuel valve.
*    **`screw_d`**: The diameter of the screw hole.
*   **`screw_l`**: The length of the screw hole within the knob.
*   **`screw_head`**: The diameter of the screw head recess.
*   **`stem_length`**: The length of the cylindrical stem portion.
*   **`knob_height`**: The height of the knob part.
*   **`stem_d`**: The diameter of the stem cylinder.
*   **`knob_w`**: The overall width of the knob.
*   **`disc_thickness`**: The thickness of the disc between the stem and the knob.
*   **`text_inset`**: How far the text is inset from the surface.
*   **`text_size`**: The size of the text labels.

The design should include text labels for "OFF", "ON", and "RES". The "ON" and "RES" labels should switch places depending on the `reserve` variable, either "up" or "down".  The labels for ON and RES should be angled, and there should be a small line for each indicating the rotation direction. For text, use "impact" font. I'd also like the `interface_shape` to be configurable to "square" or "spline" with spline parameters using involute gears.

I don't need to handle any non-standard thread types for the screw hole, just a normal thru-hole.

Please include comments in the generated SCAD file(s), and use a reasonable `$fn` value for smooth curves. I would like it to be set to 360.

[Assistant]
petcock_knob.scad:
```
interface_shape="square";
reserve="up"; //up,down
interface_width=7;
interface_depth=12;
screw_d=6.25;
screw_l=11;
screw_head=10.5;
stem_length=67;
knob_height=16;
stem_d=17;
knob_w=30;
disc_thickness=2;
text_inset=0.5;
text_size=3;
$fn=360;

difference(){
    union(){
        cylinder(h=stem_length,d=stem_d);
        translate([0,0,stem_length])cylinder(h=disc_thickness,d=knob_w);
        hull(){
            translate([0,0,stem_length+disc_thickness])cylinder(h=knob_height,d=screw_head+1.6);
            translate([-knob_w*2/3,0,stem_length+disc_thickness])cylinder(h=knob_height*0.8,d=0.8);
            translate([knob_w/3,0,stem_length+disc_thickness])cylinder(h=knob_height,d=screw_head*2/3);
        }
    }
    union(){
        cylinder(h=stem_length+knob_height+disc_thickness,d=screw_d);
        translate([0,0,interface_depth+screw_l])cylinder(h=stem_length+knob_height+disc_thickness,d=screw_head);
        cube([interface_width,interface_width,interface_depth*2],center=true);
        translate([0,0,-0.01])linear_extrude(height=2,scale=0.7)square(interface_width+2,center=true);
        translate([screw_head/2+0.4,0,stem_length+disc_thickness+knob_height-text_inset])linear_extrude(height=text_inset*2)text(text="OFF", size=text_size,halign="left",valign="center",font="impact");
        if(reserve=="up"){
            translate([screw_head/3+0.4,screw_head,stem_length+disc_thickness-text_inset])rotate([0,0,-40])linear_extrude(height=text_inset*2)text(text="ON", size=text_size,halign="left",valign="center",font="impact");
            translate([screw_head/3+0.4,-screw_head,stem_length+disc_thickness-text_inset])rotate([0,0,40])linear_extrude(height=text_inset*2)text(text="RES", size=text_size,halign="left",valign="center",font="impact");
        }
        if(reserve=="down"){
            translate([screw_head/3+0.4,screw_head,stem_length+disc_thickness-text_inset])rotate([0,0,-40])linear_extrude(height=text_inset*2)text(text="RES", size=text_size,halign="left",valign="center",font="impact");
            translate([screw_head/3+0.4,-screw_head,stem_length+disc_thickness-text_inset])rotate([0,0,40])linear_extrude(height=text_inset*2)text(text="ON", size=text_size,halign="left",valign="center",font="impact");
        }
        rotate([0,0,75])translate([0,0,stem_length+disc_thickness-text_inset])rotate_extrude(angle=45)translate([screw_head,0,0])square(text_size/2);
        rotate([0,0,-75])translate([0,0,stem_length+disc_thickness-text_inset])rotate_extrude(angle=-45)translate([screw_head,0,0])square(text_size/2);
        rotate([0,0,115])translate([0,0,stem_length+disc_thickness-text_inset])translate([screw_head+2.7,0,0])rotate([0,0,95])linear_extrude(height=text_inset*2)polygon([
        [0,0],
        [0,4],
        [5,2]
        ]);
        rotate([0,0,-115])translate([0,0,stem_length+disc_thickness-text_inset])translate([screw_head-1.3,0,0])rotate([0,0,-95])linear_extrude(height=text_inset*2)polygon([
        [0,0],
        [0,4],
        [5,2]
        ]);
        }
}

```


[User]
I'd like to design a parametric drill bit stopper. It should have a cylindrical body with a hole through the center for the drill bit and a wider base to prevent the drill from going too far. The main body should be green, the base should be blue, and the central hole should be red. I'd also like to have a set screw hole on either side, threaded for standard metric sizes.

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

*   `Bit_Diameter`: The diameter of the drill bit that the stopper will be used with.
*   `Wall_Thickness`: The thickness of the wall of the green cylinder.
*  `Bottom_Wall_Thickness`: The thickness of the wall of the blue base cylinder.
*  `Height`: The total height of the green cylindrical part.
*   `Bottom_Height`: The height of the blue base.
*   `Bottom_Chamfer`:  A chamfer between the blue base and the main green body that can be set to 0 to disable it.
*  `Threads_Diameter`:  An index to select the screw thread size (M2, M2.5, M3, or M4) for the set screw holes.

For the set screw threads, I need the threads to be created using the `threads.scad` library. So be sure to include that.

The design should have two set screws on opposite sides of the stopper. When previewed I need the $fn to be lower than when rendered to make it faster to preview. The inner hole through the stopper needs to be cut out, and the set screw holes need to also cut out of the model. I'd like the set screws to be magenta.

Could you generate the OpenSCAD code for this?

[Assistant]
drillStopper.scad:
```
/*
 * Drill bit stopper - https://www.thingiverse.com/thing:6813172
 * by Taras Kushnirenko
 * created 2024-10-29
 * version v1.0
 *
 * Changelog
 * --------------
 * v1.0 - 2024-10-29:
 *  - initial design
 * --------------
 *
 * This work is licensed under the Creative Commons - Attribution - Non-Commercial ShareAlike license.
 * https://creativecommons.org/licenses/by-nc-sa/3.0/
 */

/* [Stopper dimensions] */
// Red
Bit_Diameter=3; // [0.1:0.1:20]
// Green
Wall_Thickness=1.2; // [0.8:0.4:4]
// Blue
Bottom_Wall_Thickness=4; // [2:0.4:10]
// Green
Height=12; //[6:20]
// Blue
Bottom_Height=6; //[4:10]
// DarkSlateGray 0 - without Chamfer
Bottom_Chamfer=1; //[0:0.2:2]
// Magenta
Threads_Diameter=2; // [0:M2, 1:M2.5, 2:M3, 3:M4]
/* [Hidden] */

d=Bit_Diameter;
s=Wall_Thickness;
S=Bottom_Wall_Thickness;
H=Height;
h=Bottom_Height;
bc=Bottom_Chamfer;

TD=[2,   2.5,  3,    4];
// Thread pitch
TP=[0.4, 0.45, 0.5,  0.7];
M=TD[Threads_Diameter];Mp=TP[Threads_Diameter];
tc=1;
stop();

$fn = $preview ? 72 : 180; fnt=6;
eps=0.01; e2=eps*2;
include <threads.scad>

function oc(dr)=d/cos(180/$fn);
do=d+0.1;//oc(d);

module stop(){
  difference(){
    union(){
      color("green", 1.0)cylinder(d=do+s*2, h=H);
      if (bc) {
        color("blue", 1.0)translate([0,0,bc])cylinder(d=do+S*2, h=h-bc);
        color("DarkSlateGray", 1.0)cylinder(d1=do+(S-bc)*2,d2=do+S*2, h=bc);
      } else {
        color("blue", 1.0)cylinder(d=do+S*2, h=h);
      }
      %color("red", 0.5)cylinder(d=do, h=H);
    }
    translate([0,0,-1])cylinder(d=do, h=H+2);
    d=M-0.5;
    translate([0,do/2+S,h/2])rotate([90,0,0])cylinder(d1=d+tc*2,d2=d,h=tc);
    translate([0,-do/2-S,h/2])rotate([-90,0,0])cylinder(d1=d+tc*2,d2=d,h=tc);
    color("magenta", 0.5)
    translate([0,do/2+S,h/2])rotate([90,0,0])metric_thread (diameter=M, pitch=Mp, length=do+S*2, internal=true);
  }
}

```


[User]
I'm looking to create a customizable 3D model where different dimensions are visually represented using colors. I want to be able to adjust parameters like width, thickness, height, chamfer, and diameters, and see those changes reflected not just in the shape but also in the color-coding of the different features. It would be really helpful if, in the customizer, the different dimensions are called out by color, so I can easily see what parameters change what parts of the model, and if I could have text labels with parameter names and their values displayed as well.

Specifically, the base shape should be a block with a chamfered top edge, and I'd like to have cylindrical holes going through it, one vertically and one horizontally. Additionally, I want a slot or cutout feature of a specified size.

I'd like the following color scheme:

*   **Red:** The overall width of the base block, including an outline of the width on top, but not the overall block itself
*   **Green:** The thickness (depth) of the base block, and the horizontal cylinder
*   **Blue:** The height of the base block and the vertical cylinder
*   **Maroon:** The chamfer on the top edge of the block.
*   **Magenta:** The cutout or slot feature.

I would also need text labels that show parameter names and their current values.

Could you generate the necessary OpenSCAD code for this? I don't have any specific library requirements.

[Assistant]
coloring.scad:
```
/*
 * Displaying dimensions in a custom model. Concept - https://www.thingiverse.com/thing:6814948
 * by Taras Kushnirenko
 * created 2024-10-31
 * version v1.0
 *
 * Changelog
 * --------------
 * v1.0 - 2024-10-31:
 *  - initial design
 * --------------
 *
 * This work is licensed under the Creative Commons - Attribution - Non-Commercial ShareAlike license.
 * https://creativecommons.org/licenses/by-nc-sa/3.0/
 */

// Red
Width=30;
// Green
Thickness=20;
// Blue
Height=10;
// Maroon
End_Chamfer=1;
// Blue
Vertical_Diameter=5;
// Green
Horizontal_Diameter=5;
// Magenta 0 - none
Fixation_Slot=1; //[0:0.1:3]

/* [Hidden] */
w=Width;
l=Thickness;
h=Height;
c=End_Chamfer;
dv=Vertical_Diameter;
dh=Vertical_Diameter;
fs=Fixation_Slot;
bonk();
%texts();

//========================

eps=0.01; e2=eps*2;

module texts(){
  color("Red")translate([10,-10,0])text(str("Width = ",Width), size=3.0);
  color("Green")translate([10,-15,0])text(str("Thickness = ",Thickness), size=3.0);
  color("Blue")translate([10,-20,0])text(str("Height = ",Height), size=3.0);
  color("Maroon")translate([10,-25,0])text(str("End_Chamfer = ",End_Chamfer), size=3.0);
  color("Blue")translate([10,-30,0])text(str("Vertical_Diameter = ",Vertical_Diameter), size=3.0);
  color("Green")translate([10,-35,0])text(str("Horizontal_Diameter = ",Horizontal_Diameter), size=3.0);
  color("Magenta")translate([10,-40,0])text(str("Fixation_Slot = ",Fixation_Slot), size=3.0);
}

module bonk(){
  difference(){
    union(){
      translate([-w/2,0,0])cube([w,l,h-c]);
      color("Maroon")hull(){
        translate([-w/2,0,h-c-eps])cube([w,l,eps]);
        translate([-w/2+c,c,h-c-eps])cube([w-2*c,l-2*c,c+eps]);
      }
      %color("Red")translate([-Width/2,0,1])cube([w,1,1]);
    }
    color("Blue")translate([w/4,l/2,-eps])cylinder(d=Vertical_Diameter,h=Height+e2);
    color("Green")translate([0,-eps,Height/2])rotate([-90,0,0])cylinder(d=Vertical_Diameter,h=Thickness+e2);
    if (fs) color("Magenta")translate([eps,-eps,(h-fs)/2])cube([w+eps,l+e2,fs]);
  }
}

```


[User]
Hey, I'm looking to design a customizable wheel and tire in OpenSCAD. I've got some basic parameters in mind, and I'd like the script to allow easy modification of these.

Here's the breakdown of what I need:

**Overall Wheel:**

*   **Outer Diameter (OD):**  This needs to be adjustable.
*   **Axle Hole Diameter:** Also needs to be configurable.
*   **Hub Diameter:** Should be a parameter I can tweak.
*   **Wheel Height (Thickness):**  I'll want to be able to change the overall wheel thickness.

**Webs (Spokes):**

*   **Number of Spokes:**  I'd like to be able to set how many spokes the wheel has.
*   **Spoke Thickness:** A parameter for adjusting the thickness of the individual spokes.
*   **Semicircular Cut Depth:**  Each spoke should have a semicircle cut out of its side, and I need to be able to change the depth of that cut.

**Tread (Tire):**

*   **Tread Cone Top Depth:** How deep the first part of the cone is.
*   **Tread Cone Bottom Depth:**  The depth of the second part of the cone.
*   **Tread Wall Thickness:**  The space between individual tread elements needs to be configurable.
*   **Automatic/Manual Tread Numbering:**  I'd like an option to either automatically calculate the number of treads or manually set it.
    *   If Manual is selected, then I'll specify a value.
    *   If automatic, the tread count will depend on the other tread parameters.

Essentially, the wheel is built up of a central hub, spokes connecting to an outer rim, and then the tread is applied as cones around the exterior of the rim. The spokes have a rounded cut-out on their side.

I'm looking for a parametric design where all these values can be easily changed via variables in the code. I don't need any particular libraries for this, I'm expecting it to be written from scratch in the base OpenSCAD language.

[Assistant]
WheelTireFix7-1.scad:
```
// wheel and rim parameters
// overall wheel diameter
OD = 148;
// axel hole diameter
AxelHoleD = 9.00;
// hub diameter
HubD = 15;
// thickness of the wheel
WheelHeight = 30;

// web parameters
// number of spokes
WebNum = 13;
// angle between spokes
WebAng = 360 / WebNum;
// thickness of spokes
WebThick = 1.75;
// depth of semicircle cut for webs
CutDepth = 0.33;

// tread parameters
// top depth of the cones
TreadDepth1 = 15;
// bottom depth of the cones
TreadDepth2 = 3;
// wall thickness between cones
TreadWall = 1.5;
// auto-calculate number of treads
AutoTread = false;
// number of treads if manual
ManualNumOfTreads = 19;

// utility functions
function StackedR2(OR, TD1, TD2, Wall) = OR - TD1 / 2 - TD2 / 2 - Wall;
function DiagR2(OR, TD1, TD2, Wall, Phi) =
    let (Diag = max(TD1, TD2) + Wall)
    sqrt(OR * OR + Diag * Diag - 2 * OR * Diag * cos(Phi));

// tread parameters calculation
function CalcTreadParams(R2, OD, TD1, TD2, Wall) =
    let (Tnum = floor(2 * PI * R2 / (2 * Wall + TD1 + TD2)))
    let (TreadAng = 360 / Tnum)
    [Tnum, TreadAng, min(StackedR2(OD / 2, TD1, TD2, Wall), DiagR2(OD / 2, TD1, TD2, Wall, TreadAng / 2))];

// calculate tread parameters
AutoTreadParams = CalcTreadParams(OD / 2, OD, TreadDepth1, TreadDepth2, TreadWall);

// select tread number based on auto or manual mode
UsedTreadNum = AutoTread ? AutoTreadParams[0] : ManualNumOfTreads;
TreadAng = 360 / UsedTreadNum;
TreadR2 = AutoTreadParams[2];

// rim diameter based on auto mode
RimD = AutoTread ? 2 * TreadR2 - max(TreadDepth1, TreadDepth2) / 2 : 117;

// 3D geometry generation
union() {
    // Rim (outer and inner)
    Rim_ID = RimD - 2 * 3.5; // inner rim diameter
    difference() {
        cylinder(WheelHeight, d = RimD); // outer rim
        translate([0, 0, -1]) cylinder(WheelHeight + 2, d = Rim_ID); // inner rim
    }

    // Hub (center part)
    difference() {
        cylinder(WheelHeight, d = HubD); // hub outer
        translate([0, 0, -1]) cylinder(WheelHeight + 2, d = AxelHoleD); // axel hole
    }

    // Spokes (webs)
    WebLength = (Rim_ID - HubD) / 2 + 1;
    R_cut = WebLength * WebLength / (8 * CutDepth) + (1 / 2) * CutDepth; // calculate cut radius for web
    for (i = [0:WebAng:(360.1 - WebAng)]) {
        rotate([0, -90, i]) {
            translate([0, (HubD - 0.5) / 2, -(WebThick / 2)]) {
                difference() {
                    cube([WheelHeight, WebLength, WebThick]); // spoke body
                    translate([R_cut + (1 - CutDepth) * WheelHeight, WebLength / 2, -1]) {
                        cylinder((WebThick + 2), r = R_cut); // semicircular cut in spoke
                    }
                }
            }
        }
    }

    // Treads
    difference() {
        cylinder(WheelHeight, d = OD); // outer diameter of the tread
        translate([0, 0, -1]) cylinder(WheelHeight + 2, d = RimD - 0.2); // inner part of the tread
        for (i = [0:TreadAng:(360.1 - TreadAng)]) {
            rotate([0, 0, i]) {
                translate([OD / 2, 0, -0.5]) cylinder(WheelHeight + 1, d1 = TreadDepth1, d2 = TreadDepth2); // tread cone (first part)
                translate([TreadR2, 0, -0.5]) cylinder(WheelHeight + 1, d1 = TreadDepth2, d2 = TreadDepth1); // tread cone (second part)
            }
            rotate([0, 0, i + TreadAng / 2]) {
                translate([OD / 2, 0, -0.5]) cylinder(WheelHeight + 1, d1 = TreadDepth2, d2 = TreadDepth1); // tread cone (first part)
                translate([TreadR2, 0, -0.5]) cylinder(WheelHeight + 1, d1 = TreadDepth1, d2 = TreadDepth2); // tread cone (second part)
            }
        }
    }
}

```


[User]
I need a parametric OpenSCAD file to generate hex sockets with customizable dimensions and features.

Here's what I'm looking for:

**Core Socket Features:**

*   **Hex Hole:** The socket needs a hexagonal hole. The size of this hole (measured across the flats) should be adjustable via a parameter. I'd like to specify this size in millimeters.
*   **Socket Depth:** The depth of the socket, also in millimeters, needs to be adjustable.
*   **Drive Size:** The socket needs to have an integrated square drive hole on its exterior. The size of this drive (e.g., 1/4", 3/8", etc.) should also be a customizable parameter in millimeters.
*   **Wall Thickness:** I'd like to be able to select either "thin" or "normal" wall thickness, and each of these should have a preset thickness in millimeters. The default thickness should be "normal".
*   **Tolerance:** There needs to be a tolerance setting (in millimeters) applied to both the hex hole size and the drive hole to ensure a good fit with actual fasteners and drivers.

**Additional Features:**

*   **Dimples:** The socket should include a set of dimples around the drive hole to help with grip. The radius and depth of these dimples should be adjustable.

**Parameters:**

I expect to be able to set the following parameters:

*   `size`: Diameter of the hex hole (across flats) in mm
*   `depth`: Depth of the socket in mm
*   `drive`: Size of the square drive in mm (e.g., 6.35 for 1/4", 9.525 for 3/8")
*   `wall_type`: String, either "thin" or "normal"
*   `tolerance`: Extra clearance for hex hole and drive in mm
*   `dimple_radius`: Radius of each dimple in mm
*   `dimple_depth`: Depth of each dimple in mm

**Assumptions/Requirements:**

*   The hex hole should be centered on the bottom of the socket.
*   The square drive hole should be centered around the base of the socket as well.
*   I'm not worried about threading or other complex features, just simple extruded shapes.
*   I'm familiar with using `linear_extrude`, `cylinder`, `cube` and `sphere` in OpenSCAD, so you can use those standard functions as needed.
*   The dimples should be equally spaced around the perimeter of the drive hole.

Could you generate an OpenSCAD file for this? I do not need any libraries other than standard OpenSCAD.

[Assistant]
Socket_Customizer.scad:
```
// User Inputs
// Socket hole settings
size = 21; // Diameter of hole across-flats in mm
depth = 90; // Depth of the socket in mm (internal depth)

// Drive settings
drive = 9.25; // Drive size in mm (e.g., 6.35 for 1/4", 9.525 for 3/8", etc.)

// Wall type
wall_type = "thin"; // Choose "thin" or "normal"

// Tolerance
tolerance = 0.2; // Extra clearance in mm

// Dimple settings
dimple_radius = 1.5; // Radius of each dimple in mm
dimple_depth = 0.5; // Depth of each dimple in mm

// Derived Parameters
tolSize = size + tolerance;
inscribedSize = tolSize / 0.866025;
tolDrive = drive + tolerance;

// Wall thickness based on type
wall_thickness = (wall_type == "thin") ? 1.5 : 2.5; // Thin = 1.5mm, Normal = 2.5mm

socketRadius = (inscribedSize / 2) + wall_thickness;
driveRadius = ((tolDrive * 1.5) + 3) / 2;

// Main Shape
difference() {
    union() {
        // Socket portion
        cylinder(h = depth + 1, r = socketRadius, center = false, $fn = 30);

        // Drive portion (always integrated)
        translate([0, 0, -tolDrive])
        cylinder(h = tolDrive + 1, r = socketRadius, center = false);
    }

    // Socket hole
    translate([0, 0, 1])
    linear_extrude(height = depth, center = false)
    circle(r = inscribedSize / 2, $fn = 6);

    // Drive hole
    translate([0, 0, -tolDrive / 2])
    cube(size = [tolDrive, tolDrive, tolDrive], center = true);

    // Hollow dimples (always present)
    for (i = [0:3]) {
        rotate([0, 0, i * 90])
        translate([tolDrive / 2 + dimple_depth / 2, 0, -tolDrive / 2])
        sphere(d = dimple_radius * 2, $fn = 30);
    }
}
```


[User]
Hey there! I'm looking to get a customisable hinged box designed in OpenSCAD, and I need it to be pretty flexible. I'm going to need a few specific things that I'll detail below.

First off, the box should have a base and a lid, and I'd like to control a bunch of dimensions, like the overall width, depth, and height, as well as the lid's height. I’d like to be able to specify the outer dimensions, and then there should be a wall thickness parameter to control that.

I'm also going to want to control whether there are internal separators, and also if there should be matching separators on the lid that would slot into the base compartments. The number of vertical and horizontal spaces inside should be adjustable, so I can create different compartment layouts. I need to be able to adjust the radius of the rounded corners and the fillets of the box. Oh, and some tolerance value for how the lid fits.

I want to have some text on the base and lid, and be able to control the text, size, and font. It would be awesome if I could use font names from Google Fonts. There also should be the ability to add text to each of the internal compartments (though I don't need to control text size or font here, we can keep it consistent).

Finally, I also need a proper hinge system. The hinge should have its own radius and length parameters, as well as the radius for the hinge barrette. And also the separation distance between the hinge and box.

I'm looking for a design that can handle both viewing the base, lid, or the assembled closed box.

I'm hoping that the design can leverage the BOSL2 library for some of the more complex shapes. So, basically, I'm looking for an OpenSCAD design that includes these customizable parameters.

Could you help me with this?

[Assistant]
hingedBox_Mk2_V1.scad:
```
include <BOSL2/std.scad>

// Show parts
part = 0; // [0:All opened, 1:Base, 2:Lid, 3:Closed]

// Outer box width
boxWidth = 120;

// Outer box depth
boxDepth = 60;

// Outer total box height
boxHeight = 40;

// Lid height
lidHeight = 12; // [6:100]

// Include separators
includeSeparators = 1; // [0:No, 1:Yes]

// Include separators on lid to prevent movements when box is closed
lidSeparators = 1; // [0:No, 1:Yes]

// Radius for rounded corners
corner = 5; // [1:40]

// Radius for fillets
fillet = 3; // [0:10]

// Number of vertical spaces
numSeparatorsX = 3; // [1:20]

// Number of horizontal spaces
numSeparatorsY = 2; // [1:20]

// Outer wall thickness
wallThickness = 2;

// Tolerance
tolerance = 0.2;

// Font (use font names from Google Fonts)
font="Arial";
textFont = font != "" ? font : "Arial";

// Text on base (empty to remove)
textBase = "Box Text";

// Base text size
textBaseSize = 12; // [3:50]

// Text on lid (empty to remove)
textLid = "Lid Text";

// Lid text size
textLidSize = 15; // [3:50]

/* [Internal text on lid] */

// Internal text size
textContainerSize = 4; // [0:20]

// Text1
_text1 = "AAA";

// Text2
_text2 = "BBB";

// Text3
_text3 = "CCC";

// Text4
_text4 = "DDD";

// Text5
_text5 = "EEE";

// Text6
_text6 = "FFF";

// Text7
_text7 = "GGG";

// Text8
_text8 = "HHH";

// Text9
_text9 = "III";

// Text10
_text10 = "JJJ";

// Text11
_text11 = "KKK";

// Text12
_text12 = "LLL";

// Text13
_text13 = "MMM";

// Text14
_text14 = "NNN";

// Text15
_text15 = "OOO";

// Text16
_text16 = "PPP";

// Text17
_text17 = "QQQ";

// Text18
_text18 = "RRR";

// Text19
_text19 = "SSS";

// Text20
_text20 = "TTT";

// Text21
_text21 = "UUU";

// Text22
_text22 = "VVV";

// Text23
_text23 = "WWW";

// Text24
_text24 = "XXX";

// Text25
_text25 = "YYY";

// Text26
_text26 = "ZZZ";

textCompartment = concat(_text1, _text2, _text3, _text4, _text5, _text6, _text7, _text8, _text9, _text10, _text11, _text12,_text13, _text14, _text15, _text16, _text17, _text18, _text19, _text20, _text21, _text22, _text23, _text24, _text25, _text26);

// Hinge Radius
hingeRad=3;

// Hinge Length
hingeLength=10; // [5:50]

// Hinge barrette radius
hingeBar=1.2;

// Hinge separation from box body
hingeSep=3; // [0:5]

/* [Hidden] */
wt = wallThickness;
m=2+corner;
hingeTolerance=0.5;
sep = hingeSep;
$fn=60;

il=2;
iw=wt/2-tolerance;
internalWall = 1;

print_part();
//roundedCube(100,60,30,3);

module print_part() {
    if (part == 0) {
        print_both();
    }
    else if (part == 1) {
        print_base();
    }
    else if (part == 2) {
        print_lid();
    }
    else if (part == 3) {
        print_closed();
    }
    else {
        print_both();
    }
}

module print_both() {
    boxBase();
    translate([0, boxDepth/2+lidHeight+sep+hingeRad, (boxHeight-lidHeight)+boxDepth/2+sep+hingeRad]) rotate(a=[90, 0, 0]) boxLid();
}

module print_base() {
    boxBase();
}

module print_lid() {
    boxLid();
}

module print_closed() {
    boxBase();
    %translate([0, 0, boxHeight]) rotate(a=[180, 0, 0]) boxLid();
}

module separators (height) {
    xS = boxWidth / numSeparatorsX;
    yS = boxDepth / numSeparatorsY;
    union(){
        if ( numSeparatorsX > 1) {
            for ( a = [0 : numSeparatorsX-2] ) {
                translate([-boxWidth/2+xS*(a+1), 0, wt])
                    linear_extrude(height=height)
                    square([internalWall, boxDepth-2*wt], center = true);
            }
        }
        if ( numSeparatorsY > 1) {
            for ( b = [0 : numSeparatorsY-2] ) {
                translate([0, -boxDepth/2+yS*(b+1), wt])
                    linear_extrude(height=height)
                    square([boxWidth-2*wt, internalWall], center = true);
            }
        }
    }

}

module boxBase() {
    difference(){
        union(){

            roundedCube(boxWidth, boxDepth, boxHeight-lidHeight, corner, fillet);
            hingeLow(hingeRad, hingeLength);
            translate([0, 0, boxHeight-lidHeight]) cuboid([boxWidth-2*(wt-iw), boxDepth-2*(wt-iw), il+wt], rounding=corner, edges="Z");
        }

        translate([0, -boxDepth/2-1, boxHeight-lidHeight-5]) closeInsert();
        translate([0, 0, wt]) roundedCube(boxWidth-2*wt, boxDepth-2*wt, boxHeight+il, corner, fillet);
        translate([0, -boxDepth/2+0.5, (boxHeight-lidHeight)/2]) rotate(a=[90, 0, 0]) linear_extrude(height=2) text(textBase, valign="center", halign="center", font=textFont, size=textBaseSize);
        }
    if (includeSeparators == 1) {
        separators(boxHeight-lidHeight+il-wt);
    }
}

module boxLid() {
    closeTab();
    difference() {
        union () {
            roundedCube(boxWidth, boxDepth, lidHeight, corner, fillet);
            hingeUp(hingeRad, hingeLength);
        }

        translate([0, 0, lidHeight-il+1.5]) cuboid([boxWidth-2*iw, boxDepth-2*iw, il+1], rounding=corner, edges="Z");
        translate([0, 0, wt]) roundedCube(boxWidth-2*wt, boxDepth-2*wt, boxHeight, corner, fillet);
        translate([0, 0, 0.5]) rotate(a=[180, 0, 0]) linear_extrude(height=2) text(textLid, valign="center", halign="center", font=textFont, size=textLidSize);
    }
    if (includeSeparators == 1) {
        translate([-boxWidth/2, 0, 0]) compartmentText();
        if (lidSeparators == 1) {
           separators(lidHeight-il-wt);
        }
    }

}

module compartmentText () {
    xS = boxWidth / numSeparatorsX;
    yS = boxDepth / numSeparatorsY;
    for (a = [0 : len(textCompartment)-1]) {
        r = floor(a/numSeparatorsX);
        c = a%numSeparatorsX;
                if (a < numSeparatorsX * numSeparatorsY) translate([xS/2 + xS * c, yS/2 + yS * r -boxDepth/2, wt]) linear_extrude(height=1) text(textCompartment[a], valign="center", halign="center", size=textContainerSize, font=textFont);
    }
}

module closeTab() {
    translate([-5, boxDepth/2+1, lidHeight-5]) {
    rotate(a=[180, 0, 0]) rotate(a=[0, 90, 0]) linear_extrude(height=10) polygon(points=[[10, -1], [8, 2.5], [8, 1], [-1, 1], [0, -1]]);
    }
}

module closeInsert() {
    translate([-15/2, 0, 0.5])
    cube([15, 3, 2]);
}

module hingeUp(hingeRad, hingeLength) {
    rotate(a=[0, 0, 180])
    translate([-boxWidth/2, boxDepth/2, lidHeight])
    rotate(a=[0, 90, 0])
    difference() {
        union() {

        if ((hingeLength+hingeTolerance)*6+2*m<boxWidth) {
            translate([0, 0, m+hingeLength+hingeTolerance]) hingeSupport(hingeRad, hingeLength);
            translate([0, 0, boxWidth-2*hingeLength-hingeTolerance-m]) hingeSupport(hingeRad, hingeLength);
            }
        else {
            translate([0, 0, m+hingeLength+hingeTolerance]) hingeSupport(hingeRad, boxWidth-2*m-2*hingeLength-2);
        }
    }
        translate([0, sep+hingeRad, -1]) cylinder(r=hingeBar, h=boxWidth+2);
    }
}

module hingeLow(hingeRad, hingeLength) {
    translate([-boxWidth/2, boxDepth/2, boxHeight-lidHeight])
    rotate(a=[0, 90, 0])
    difference() {
        union() {
        translate([0, 0, m]) hingeSupport(hingeRad, hingeLength);
        if ((hingeLength+hingeTolerance)*6+2*m<boxWidth) {
            translate([0, 0, hingeLength*2+2*hingeTolerance+m]) hingeSupport(hingeRad, hingeLength);
            translate([0, 0, boxWidth-hingeLength*3-2*hingeTolerance-m]) hingeSupport(hingeRad, hingeLength);
        }
        translate([0, 0, boxWidth-hingeLength-m]) hingeSupport(hingeRad, hingeLength);
        }
        translate([0, sep+hingeRad, -1]) cylinder(r=hingeBar, h=boxWidth+2);
    }
}

module hingeSupport(hingeRad, hingeLength) {
    translate([0, sep+hingeRad, 0]) {
        cylinder(r=hingeRad, h=hingeLength);
        difference() {
translate([0, -(hingeRad+sep), 0]) cube([2*hingeRad+sep, sep+hingeRad, hingeLength]);

translate([hingeRad*2+sep, 0, -1]) cylinder(r=hingeRad+sep, h=hingeLength+2);
}
    }
}

module roundedCube (w, d, h, r, rf) {

    translate([0,0,h/2])
diff()
 cuboid([w,d,h]) {
  edge_mask(BOT)
   rounding_edge_mask(r = rf);
  edge_mask("Z")
   rounding_edge_mask(r = r, l = $parent_size.z + 0.1);
        corner_mask(BOT)
            rounding_corner_mask(r = rf);
 }
}

```


[User]
Hey, I'm looking to design a customizable tea bag basket and I need some help generating the OpenSCAD code.  I've got some specific ideas for how I want it to work.

Essentially, I want a rectangular basket with rounded corners and a hexagonal pattern cut out of the sides and bottom for ventilation and visual appeal.  The basket needs to be parametric, meaning I can easily change the dimensions, spacing, and thickness.

Here are the main parameters I need to be able to control:

*   **`hexagon_spacing`**:  The space between the hexagons.
*   **`hexagon_side`**: The length of the sides of each hexagon.
*   **`bag_dimensions`**:  A 2D vector containing the width and height of the tea bags that the basket will hold.
*   **`inner_length`**: The length of the basket (perpendicular to the width and height of the tea bags).
*   **`thickness`**:  The overall thickness of the basket walls.
*   **`bottom_thickness`**: Thickness of the bottom of the basket
*   **`radius`**: The radius of the rounded corners.
*   **`border`**: the distance between the edge of the basket and the first row of holes.
*  `$fn`: Level of detail for the circles.

I'd also like to use a small `eps` value to ensure there are no z-fighting issues between the bottom and the walls.

The basket should be built by creating a rounded rectangle, then subtracting the inner volume and the hexagonal grid. I would also like for the inner volume to be created with rounded corners, similar to the outer dimensions. It might be useful to make a module for the border itself, so that it can be used for both the top and bottom. The hexagonal grid needs to be automatically sized to fit inside the sides. I would like the grid to have a similar spacing between the grid and the sides for the x, y, and z axes. The height of the hexagonal cutout should equal the inner height and go through the bottom of the basket.

I don't have any libraries that I'm using but I think I'd prefer something using pure OpenSCAD rather than a library. Could you generate the OpenSCAD files based on these parameters?

[Assistant]
tea_bag_basket.scad:
```
hexagon_spacing = 2;
hexagon_side = 6;

bag_dimensions = [70, 60];
inner_length = 120;
thickness = 3;
bottom_thickness = 1;
radius = 10;
border = 1.5;

$fn = 60;
eps = 0.01;

function apothem(side) = side * tan(60) / 2;

function hexagon_grid_size(count, side, spacing) = [
    ((floor(count.x) - 1) / 2) * (side * 3 + 2 * spacing * sin(60)) + 2 * side,
    (count.y) * (2 * apothem(side) + spacing) + apothem(side) - spacing / 2
    ];

function hexagon_grid_best_fit(dimensions, side, spacing) = [
    2 * (2 * dimensions.x + 2 * spacing * sin(60) - side) / (6 * side + 4 * spacing * sin(60)),
    (dimensions.y + spacing) / (2 * apothem(side) + spacing)
    ];

module hexagon(side) {
    points = [for (i=[0:5]) [cos(60*i), sin(60*i)]] * side;

    polygon(points=points);
}

module hexagon_grid(count, side, spacing) {
    x_spacing = spacing * sin(60);

    translate([side, apothem(side)]) {
        for (j=[0:2:count.x-1]) {
            for (i=[0:count.y-1]) {
                half_j = j / 2;
                translate([half_j * (side * 3 + x_spacing * 2),
                           i * (2 * apothem(side) + spacing)])
                    hexagon(side);
            }
        }
        for (j=[1:2:count.x-1]) {
            half_j = (j - 1) / 2;
            for (i=[0:round(count.y) - 2]) {
                translate([(3/2 + half_j * 3) * side + (1 + half_j * 2) * x_spacing,
                           (1 + 2 * i) * apothem(side) + (1/2 + i) * spacing])
                    hexagon(side);
            }
        }
    }
}

module tea_bag_dispenser() {
    inner_dimensions = [bag_dimensions.x, inner_length, bag_dimensions.y];
    outer_dimensions = inner_dimensions + [2*thickness, 2*thickness, bottom_thickness];

    module _border(height) {
        minkowski() {
            hull() {
                translate([radius, radius, 0])
                    cylinder(h=height, r=radius);
                translate([outer_dimensions.x - radius, radius, 0])
                    cylinder(h=height, r=radius);
                translate([radius, outer_dimensions.y - radius, 0])
                    cylinder(h=height, r=radius);
                translate([outer_dimensions.x - radius, outer_dimensions.y - radius, 0])
                    cylinder(h=height, r=radius);
            }
            sphere(r=border);
        }
    }

    difference() {
        union() {
            hull() {
                translate([radius, radius, 0])
                    cylinder(h=outer_dimensions.z, r=radius);
                translate([outer_dimensions.x - radius, radius, 0])
                    cylinder(h=outer_dimensions.z, r=radius);
                translate([radius, outer_dimensions.y - radius, 0])
                    cylinder(h=outer_dimensions.z, r=radius);
                translate([outer_dimensions.x - radius, outer_dimensions.y - radius, 0])
                    cylinder(h=outer_dimensions.z, r=radius);
            }

            intersection() {
                _border(border);
                translate([-border, -border, 0])
                    cube(outer_dimensions + [border * 2, border * 2, 0]);
            }

            translate([0, 0, outer_dimensions.z - 2 * border]) _border(border);
        }

        translate([thickness, thickness, bottom_thickness + eps]) {
            hull() {
                inner_radius = max(radius - thickness, 0);

                translate([inner_radius, inner_radius, 0])
                    cylinder(h=inner_dimensions.z, r=inner_radius);
                translate([inner_dimensions.x - inner_radius, inner_radius, 0])
                    cylinder(h=inner_dimensions.z, r=inner_radius);
                translate([inner_radius, inner_dimensions.y - inner_radius, 0])
                    cylinder(h=inner_dimensions.z, r=inner_radius);
                translate([inner_dimensions.x - inner_radius, inner_dimensions.y - inner_radius, 0])
                    cylinder(h=inner_dimensions.z, r=inner_radius);
            }
        }

        union() {
            best = hexagon_grid_best_fit(
                [inner_dimensions.x, inner_dimensions.z - thickness],
                hexagon_side,
                hexagon_spacing
                );

            grid_size = hexagon_grid_size(best, hexagon_side, hexagon_spacing);

            translate([(outer_dimensions.x - grid_size.x) / 2, -eps, bottom_thickness]) {
                mirror([0, 0, 1]) {
                    rotate([-90, 0, 0]) {
                        linear_extrude(height=outer_dimensions.y + 2 * eps) {
                            hexagon_grid(best, hexagon_side, hexagon_spacing);
                        }
                    }
                }
            }
        }

        union() {
            best = hexagon_grid_best_fit(
                [inner_dimensions.y, inner_dimensions.z - thickness],
                hexagon_side,
                hexagon_spacing
                );

            grid_size = hexagon_grid_size(best, hexagon_side, hexagon_spacing);

            translate([-eps, (outer_dimensions.y - grid_size.x) / 2, bottom_thickness]) {
                mirror([0, 0, 0]) {
                    rotate([90, 0, 90]) {
                        linear_extrude(height=outer_dimensions.x + 2 * eps) {
                            hexagon_grid(best, hexagon_side, hexagon_spacing);
                        }
                    }
                }
            }
        }
    }
}

tea_bag_dispenser();

```


[User]
I'm looking to get an OpenSCAD design for a headphone clip that can attach to a desk or shelf. I already have an existing design that works with my shelf and headphones, but I need it to be fully parametric so it's adaptable to different thicknesses of shelves and different headphone headband widths.

The existing design uses a sort of hook shape that goes under the desk, then curves up and over to hold the headphone. It also has a small bracket that comes off the front, with a slight outward bend at the top, which prevents the headphones from sliding off.  I’m thinking I would like the main hook to be made by extruding a 2D polygon. The shape of that polygon has key points that I think should be easily modifiable: the desk underhang, the desk thickness, the thickness of the clip itself, how far out the clip extends, and the width of the clip should all be parameters.  I’d like to add a radius to all the corners of the extruded shape.

The bracket itself is basically a holder, or cradle, that juts out from the front of the clip and holds the headband. Right now this is created by a rotate_extrude but I think it would be good to have a version made with a linear_extrude, and I should be able to choose which to use with a parameter. I'd like this to have a small back wall that prevents the headphones from sliding off, and two small circles on either side of it. The headphone part should also be fully parametric: the width and depth of the cradle should be easy to set, as well as the diameter of those circles.

So, to summarize, I need a parametric OpenSCAD design that will:

*   Have a main clip part that hooks under the desk/shelf and holds the headphone cradle. It should use a linear_extrude of a 2D polygon, and have a radius applied to all corners. The critical dimensions of the hook should be exposed as parameters.
*   Have a cradle that extends from the clip to hold the headphones. There should be an option to create this with a linear_extrude or rotate_extrude. The cradle must be parametric as well.
*   I'd also like it to use the BOSL2 library so I can get more flexibility in my design later on.

I think this will require one or two files, so I’m fine if you need to split the design into multiple files to manage the complexity.

[Assistant]
headphone_clip.scad:
```
// headphone clip https://www.thingiverse.com/thing:6837185
// 11/18/2024 by David Phillip Oster

desk_thickness = 18.4; // thickness of desk
phone_thickness = 28;  // thickness of headphone strap

/*[Hidden]*/

holder_thickness = 5; // thickness
holder_width = 20; // width
holder_depth = 40; // how far in to extend

desk_underhang = 10; // how far under desk was 20

rad = 2; // radius of edges

hold_t = holder_thickness - rad;
hold_w = holder_width - rad;
hold_d = holder_depth - rad;
phone_w = phone_thickness + 1;  // clearance. Headphone should not be a tight fit.

desk_t = desk_thickness+rad*2;
desk_u = desk_underhang - rad;

$fa = ($preview ? 5 : 2); //smoothness
$fs = ($preview ? 0.5 : 0.1);

brace_pts = [
  [0, 0],                             //0
  [0, desk_u+desk_t+(hold_t*2)],      //1
  [hold_d, desk_u+desk_t+(hold_t*2)], //2
  [hold_d, desk_u+desk_t+hold_t],     //3
  [hold_t, desk_u+desk_t+hold_t],     //4
  [hold_t, desk_u+hold_t],            //5
  [hold_d, desk_u+hold_t],            //6
];

module clip(){
  linear_extrude(height = holder_width, center = false)
    offset(r=rad)
        polygon(points = brace_pts);
}

module holder2D(){
 translate([phone_w+5,5])polygon([
  [0,0],
  [-5,0],
  [0,5],
]);
 translate([-5, 0])square([5, 10]);
  translate([-5/2, 10])circle(d=5);
  square([phone_w+5, 5]);
  translate([phone_w+5, 0])square([5, 10]);
  translate([phone_w+5+5/2, 10])circle(d=5);
}

module all(){
translate([0,2,5/2])rotate([0,90,0])translate([rad,0,0])clip();
translate([holder_width/2,-60,phone_w+2*5])rotate([0,0,60])rotate_extrude(angle=60)translate([60,0])rotate([0,0,-90])holder2D();
}

mirror([0,0,1])
all();

```


[User]
I'm looking for a parametric OpenSCAD design for a simple under-desk cable clip. I want to be able to clip it onto the edge of a desk and run cables through it, keeping them separated. Ideally, the design would have two channels or "jaws" to hold the cables, so I can keep power cables separate from signal cables for example. I also need a screw hole to mount it securely under the desk.

Here are some design parameters I'd like to control:

*   **Width:** The overall width of the clip, which affects how much space it takes up.
*   **Gap:** The distance between the two cable channels or "jaws". This will determine how wide the separation between the cables is.
*   **Height:** The overall height of the clip, especially how deep the channel holding the cables is.
*   **Thickness:** The thickness of the material, mostly for the overall robustness and flexibility.
*   **Length:** The overall length of the clip - how far it extends along the edge of the desk.
*   **Screwhole Type:** I would need to be able to specify the screw hole type (countersunk, straight or no screwhole at all).
*   **Countersink Diameter:** The diameter of the countersink should be configurable if `countersunk` is chosen.

I imagine the main body of the clip being formed by two cylinders joined by a flat bridge. The two sides that form the cable holding "jaws" are basically lips extending from each side of the bridge.

The design should be relatively lightweight, not overly bulky. It doesn't need to hold a large number of heavy cables.

I don't need any support structures and would prefer for the screw hole to be printed cleanly so don't make that part need supports.

I'm not using any specific libraries, so everything would need to be in a single .scad file.

[Assistant]
under_desk_cable_clip.scad:
```
width=10;    // [8:20]
gap=10;      // [9:12]
height=18;   // [10:25]
thickness=3; // [2:5]
length=75;   // [50:100]

screwhole="countersunk"; // ["countersunk","straight","no"]

///countersink diameter
/* [Hidden] */
//facet (resolution)
$fn=50;
fudge=1;
coutersink_d=3;

rotate(a=90, v=[1,0,0])
{

difference(){

//outer
hull(){
    for ( x = [(length-height)/2,-(length-height)/2] ) {
        translate([x,0,0])
            rotate(a=90, v=[1,0,0])
                cylinder(d=height,h=width,center=true);
    }}

//inner
hull(){
    for ( x = [(length-height)/2,-(length-height)/2] ) {
        translate([x,0,0])
            rotate(a=90, v=[1,0,0])
                cylinder(r=height/2-thickness,h=width+2,center=true);
    }
}

//cut the gap
translate([0,0,height/2-thickness/2])
    cube([gap+thickness,width+2,thickness+2],center=true);

//just leave screwhole for sizing
//translate([26,0,0])   #cube([40,40,30],center=true);
//translate([-26,0,0])  #cube([40,40,30],center=true);

//screw hole

if (screwhole != "no") cylinder(r=1.4,h=20,center=true);
if (screwhole == "countersunk") {
translate([0,0,-(coutersink_d+height/2-thickness)])
    cylinder(r1=0,r2=coutersink_d+fudge,h=coutersink_d+fudge);
}
}

//lips
for (x=[(gap+thickness)/2,-(gap+thickness)/2]){
    hull(){
        for ( z = [(height-thickness)/2,1]){
            translate([x,0,z])
            rotate(a=90, v=[1,0,0])
                cylinder(r=thickness/2,h=width,center=true);
}
}
}

}
```


[User]
Hi, I'm looking to design a wall-mounted holder for my Haushof electric can opener, model ES-002. I'd like to use OpenSCAD for this and need some help creating the files.

The basic design is a roughly disc-shaped holder that will be mounted to the wall. It should have two embedded circular recesses for 12mm diameter, 3mm thick neodymium magnets. These magnets will hold the can opener in place. There should also be a circular cutout to accommodate the cylindrical portion of the can opener's handle. Finally, for a good grip, I'd like to include some circular cutouts on the back of the holder.

Here's a breakdown of the dimensions:

*   **Overall Holder Size:**
    *   Width (horizontal axis): About 76mm
    *   Height (vertical axis, the longer side when mounted): About 186mm
    *   Depth (thickness): About 25mm plus an additional 15mm for the handle recess.
*   **Handle Recess:**
    *   Diameter: 20mm
    *   Depth: 15mm
    *   Position: It should be vertically offset from the center of the overall shape
*   **Magnet Recesses:**
    *   Diameter: 12.1mm (slightly larger than the magnet to allow for tolerances)
    *   Depth: 3mm
    *   Position:  These should be positioned on either side of the handle recess and below it.
*   **Wall Thickness:** I'd like the holder to have a wall thickness of about 4mm.
*   **Grip Holes:** These should be circular cutouts with a diameter of 30mm and should be located on the back of the model.

It would be great if the design could be parametric, so I can adjust dimensions later if needed. Also, I would like to use the `MCAD/boxes.scad`, `utils/build_plate.scad`, and `write/Write.scad` libraries. I'm printing on a 3D printer, and I think using `build_plate` would be helpful, so I want to be able to set the build plate dimensions.

Can you generate OpenSCAD code for this? I expect there will need to be multiple .scad files, such as one that defines a module for the build plate, one for the main holder, and a main script to assemble everything.

[Assistant]
haushof_can_opener_holder.scad:
```
//----------------------------------------------------------------------------
//	Filename:	haushof can opener holder.scad
//	Author:		Robert H. Morrison
//	Date:		Saturday, 16 Nov 2024
//
//	A wall holder for the Haushof electic can opener (magnetic) using
//  two round 12mm x 3mm neodyn magnets.
//----------------------------------------------------------------------------

use <MCAD/boxes.scad>
use <utils/build_plate.scad>
use <write/Write.scad>

//---[ Variables ]------------------------------------------------------------

oWidth = 76;
oHeight = 186;

oDepth = 25;
rDiameter = 20;
rDepth = 15;
mDiameter = 12.1;
mDepth = 3;
wThickness = 4;
gDiameter = 30;

//---[ Build Plate ]----------------------------------------------------------

//: for display only, doesn't contribute to final object
build_plate_selector = 3; //[0:Replicator 2,1: Replicator,2:Thingomatic,3:Manual]
//: when Build Plate Selector is set to "manual" this controls the build plate x dimension
build_plate_manual_x = 220; //[100:400]
//: when Build Plate Selector is set to "manual" this controls the build plate y dimension
build_plate_manual_y = 220; //[100:400]

build_plate(build_plate_selector,build_plate_manual_x,build_plate_manual_y);

//---[ HOLDER ]---------------------------------------------------------------

rotate([0,0,45])
    difference() {
        // Outside
        scale([0.44,1,1])
            linear_extrude(height = oDepth + rDepth, true, convexity = 10, 0, slices = 20, scale = 1.0, $fn = 1000)
                circle(d = oHeight + wThickness * 2, $fn = 1000);
        // Inside
        translate([0,0,rDepth]) scale([0.44,1,1])
            linear_extrude(height = oDepth, true, convexity = 10, 0, slices = 20, scale = 1.0, $fn = 1000)
                circle(d = oHeight, $fn = 1000);
        // Hole for opener
        translate([0,60,0])
            cylinder(h = rDepth * 2 + 1, d = rDiameter, center = true);
        // Hole for Magnets
        translate([-7,60 - rDiameter - 4,rDepth - mDepth/2])
            cylinder(h = mDepth, d = mDiameter, center = true);
        translate([7,60 - rDiameter - 4,rDepth - mDepth/2])
            cylinder(h = mDepth, d = mDiameter, center = true);
        // Grip Holes
        translate([0,0,oDepth + rDepth]) rotate([0,90,0])
            cylinder(h = oHeight + wThickness * 2 + 1, d = gDiameter, center = true);
    }
```


[User]
Hey, I'm looking to get a customizable drill bit stand designed in OpenSCAD, and I've got some specific requirements in mind. I need it to be parametric so I can easily adjust it later.

Here's what I need:

*   **Grid Layout:** The stand should have a grid of holes, with a configurable number of holes per row and a configurable number of rows.
*   **Hole Size:** I want to control the starting diameter of the smallest hole and the size increase (step) between each subsequent hole. The stand should calculate the max hole size.
*   **Spacing:** It needs to have adjustable inner spacing (between holes in the grid) and outer spacing (between the holes and the edges of the stand).
*   **Stand Thickness:** The overall thickness of the stand should be adjustable.
*   **Hole Shape:** I need the hole shape to be adjustable, specified by the number of corners (e.g., 6 for hex, 5 for slightly polygonal, or a large number for near-circle).
*   **Hole Oversize:** There should be a parameter to adjust the hole diameter by a small amount for overextrusion compensation.
*   **Hole Bottom:** A parameter to set a floor thickness for each hole.
*   **Rounded Corners:** The stand should have rounded corners with an adjustable radius.
*   **Center Mark:** I'd like an option to add a center marking.
*   **Hole Numbers:** And I need an option to print numbers next to each hole, also with adjustable size as a percentage of stand thickness and depth.

I'm thinking the design should be done in a single .scad file, not multiple files. Could you do that? I don't need anything from libraries, just the basic OpenSCAD stuff.

[Assistant]
DrillBitStand_Custom.scad:
```
// Parametric Drill or Hex Bit Stand
// Copyright 2024 MegaHertz67.
// Released under the Creative Commons - Attribution license.
//
// Number of holes per row
holesPerRow = 10;
// Number of rows
numberRows = 4;
// Smallest hole diameter (mm) - 6.4mm for standard hex bits (4mm for small bits)
smallHole = 1;    // [0.1:0.1:10]
// Size difference between holes (mm)  - use 0mm for hex bits
stepHole = 0.1;
maxHole = (smallHole + stepHole*(holesPerRow*numberRows-1));
// Inner space around holes to next hole (mm)
minInner = 1.5;     // [0.5:0.1:15]
// Outer space around holes to edge of stand (mm)
minOuter = 2;     // [1:0.5:15]
// Length of rows calculation (mm) // [10:1:150]
lengthRows = 2*minOuter +holesPerRow*maxHole -(holesPerRow-1)*stepHole/2 +(holesPerRow-1)*minInner;
// Distance between center of rows calculation(mm) // [3:0.5:20]
widthRows = maxHole -holesPerRow/2*stepHole +minInner;
// Thickness of drill stand (mm)
thickness = 8;    // [3:0.5:25]
// Shape of holes: Number of corners (6 for hex bits,  50:nearly circle)
HoleCorners = 5;
// Hole oversize to nominal hole diameter (mm) e.g. to compensate overextrusion
holeOversize = 0.2;
// Hole floor thickness (mm)
holeBottom = 0.6;
// Corner Fillet (mm)
cornerFillet = 2; // [0:0.2:15]
// Center marking
centerMark = 1;  // [0:no, 1:yes]
// Print hole numbers
printNumbers =1; // [0:no, 1:yes]
// Print Numbersize (% of thickness of drill stand)
printNumberSize = 70;  // [10:1:98]
// Print Numberdepth (mm)
printNumberDepth = 1;  // [0.2:0.1:2.0]

// calculate start positions, x-distances for drillholes and upper edge
minX = minOuter+(smallHole+(stepHole*(numberRows-1)*holesPerRow))/2;
maxX = lengthRows-minOuter-maxHole/2;
stepX = (maxX-minX)/(holesPerRow-1);
minY = minOuter+(smallHole+stepHole*(holesPerRow-1))/2;
topY = minY+(numberRows-1)*widthRows+(smallHole+(stepHole*((numberRows)*holesPerRow)-1))/2+minOuter;

difference() {
// BasePlate
union() {
    translate ([cornerFillet,cornerFillet,0]) minkowski() {
    cube([lengthRows-2*cornerFillet, topY-2*cornerFillet, thickness-1],false);
    cylinder (h=1, r=cornerFillet, center=false, $fn=50);
    }
    if (centerMark) translate ([(minX+maxX)/2,topY/2,thickness]) rotate([0,45,0]) cube([1,topY,1],true);
}

// Drill Holes
for(row=[0:numberRows-1]) {
for(drillHole=[0:holesPerRow-1])
    translate ([minX+stepX*drillHole, minY+row*widthRows,thickness/2+holeBottom])
    cylinder (h=thickness, d=(smallHole+(drillHole+row*holesPerRow)*stepHole)/cos(180/HoleCorners)+holeOversize, center=true, $fn=HoleCorners);
}
rotate([0,180,0]) translate([-cornerFillet-.4,cornerFillet+.4,-.4]) linear_extrude(.5) text("MHz", size=widthRows*.9, spacing=0.72, halign="right", valign="bottom");

// HoleNumbers
if (printNumbers)
    for(drillHole=[0:holesPerRow-1])
        rotate([90,0,0]) translate ([minX+stepX*drillHole,thickness/2,-printNumberDepth])
        linear_extrude(printNumberDepth) text(str(drillHole), size=thickness*printNumberSize/100, halign="center", valign="center");
}

```


[User]
I'd like to create a parametric test print to dial in my printer settings. It needs to be able to check first layer adhesion, z-offset, overextrusion, horizontal expansion, and hole/bolt accuracy.

The basic shape should be a square base with walls, and I need to be able to control the following parameters:

*   `square_size`: The length of the side of the square base.
*   `base_thickness`: The thickness of the base layer (should be the same as my first layer height).
*   `wall_thickness`: The thickness of the walls.
*   `wall_height`: The height of the walls.
*   `corners1`:  The number of sides for the polygon used for one set of holes - a high number should make these close to circles.
*   `corners2`: The number of sides for the polygon used for the other set of holes.
*   `hole1`, `hole2`, `hole3`, `hole4`: The diameters of four sets of holes (these represent drill sizes that would fit). The actual hole diameter should be calculated based on these drill sizes and the number of corners.
*   `HoleDirection`:  A way to choose whether the holes are vertical or horizontal ("vertical" or "horizontal").
*   `AddBolts`:  A boolean to enable or disable the generation of matching "bolts". If `AddBolts` is 1, it should generate "bolts" that would fit into the holes.

The layout should have two rows of holes, one on the left and one on the top, with each row having the four different diameters. The "bolts", if enabled, should be along the right side and bottom.

Please design this in OpenSCAD with all of the above parameters configurable. I'd also like you to use the BOSL2 library if possible.

[Assistant]
1stLayerHolesBolts.scad:
```
// Test to adjust ZOffset, InitialLayerFlow, HorizontalExpansion
// Copyright 2024 MegaHertz67.
// Released under the Creative Commons - Attribution license.
//
//Base SquareSize (outer shape)
square_size=20;
//BaseThickness (= first Layer thickness)
base_thickness=0.2;
//WallThickness of side walls
wall_thickness=5;
//WallHeight of side walls
wall_height=5;
//HoleShape1 Corners (3=triangle, 50=near circle)
corners1=50;
//HoleShape2 Corners
corners2=5;
//Hole1 diameter (diameter of drill which would fit in the hole)
hole1=2.4;
d11=hole1/cos(180/corners1);
d21=hole1/cos(180/corners2);
//Hole2  diameter
hole2=2.1;
d12=hole2/cos(180/corners1);
d22=hole2/cos(180/corners2);
//Hole3  diameter
hole3=1.8;
d13=hole3/cos(180/corners1);
d23=hole3/cos(180/corners2);
//Hole4  diameter
hole4=1.5;
d14=hole4/cos(180/corners1);
d24=hole4/cos(180/corners2);
HoleDirection = "vertical";//[vertical, horizontal]
AddBolts=0; //[1:true, 0:false]

difference()
{
    cube([square_size+wall_thickness*AddBolts, square_size+wall_thickness*AddBolts, wall_height],center=false);

    translate([wall_thickness+.001, wall_thickness+.001, base_thickness])
    cube([square_size+.01, square_size+.01, wall_height],center=false);
    if (AddBolts) {
        translate([-.001, square_size+.001, base_thickness])
        cube([wall_thickness+.01, wall_thickness+.01, wall_height],center=false);
        translate([square_size+.001, -.001, base_thickness])
        cube([wall_thickness+.01, wall_thickness+.01, wall_height],center=false);
    }

    if (HoleDirection=="vertical") {
        translate([wall_thickness+d11/2, wall_thickness/2, wall_height/2])
        cylinder(wall_height+.01, d=d11, center=true, $fn=corners1);

        translate([wall_thickness+d11*1.5+1, wall_thickness/2, wall_height/2])
        cylinder(wall_height+.01, d=d12, center=true, $fn=corners1);

        translate([wall_thickness+d11*1.5+d12+2, wall_thickness/2, wall_height/2])
        cylinder(wall_height+.01, d=d13, center=true, $fn=corners1);

        translate([wall_thickness+d11*1.5+d12+d13+3, wall_thickness/2, wall_height/2])
        cylinder(wall_height+.01, d=d14, center=true, $fn=corners1);

        translate([wall_thickness/2, wall_thickness/2+d21/2, wall_height/2])
        cylinder(wall_height+.01, d=d21, center=true, $fn=corners2);

        translate([wall_thickness/2, wall_thickness/2+d21/2+d21+1, wall_height/2])
        cylinder(wall_height+.01, d=d22, center=true, $fn=corners2);

        translate([wall_thickness/2, wall_thickness/2+d21/2+d21+d22+2, wall_height/2])
        cylinder(wall_height+.01, d=d23, center=true, $fn=corners2);

        translate([wall_thickness/2, wall_thickness/2+d21/2+d21+d22+d23+3, wall_height/2])
        cylinder(wall_height+.01, d=d24, center=true, $fn=corners2);

    }
    else {
        translate([wall_thickness+d11/2, wall_thickness/2, wall_height/2]) rotate([90,0,0])
        cylinder(wall_height+.01, d=d11, center=true, $fn=corners1);

        translate([wall_thickness+d11*1.5+1, wall_thickness/2, wall_height/2]) rotate([90,0,0])
        cylinder(wall_height+.01, d=d12, center=true, $fn=corners1);

        translate([wall_thickness+d11*1.5+d12+2, wall_thickness/2, wall_height/2]) rotate([90,0,0])
        cylinder(wall_height+.01, d=d13, center=true, $fn=corners1);

        translate([wall_thickness+d11*1.5+d12+d13+3, wall_thickness/2, wall_height/2]) rotate([90,0,0])
        cylinder(wall_height+.01, d=d14, center=true, $fn=corners1);

        translate([wall_thickness/2, wall_thickness+d21/2, wall_height/2]) rotate([0,90,0])
        cylinder(wall_height+.01, d=d21, center=true, $fn=corners2);

        translate([wall_thickness/2, wall_thickness+d21/2+d21+1, wall_height/2]) rotate([0,90,0])
        cylinder(wall_height+.01, d=d22, center=true, $fn=corners2);

        translate([wall_thickness/2, wall_thickness+d21/2+d21+d22+2, wall_height/2]) rotate([0,90,0])
        cylinder(wall_height+.01, d=d23, center=true, $fn=corners2);

        translate([wall_thickness/2, wall_thickness+d21/2+d21+d22+d23+3, wall_height/2]) rotate([0,90,0])
        cylinder(wall_height+.01, d=d24, center=true, $fn=corners2);
    };
}
if (AddBolts) {
        translate([square_size+wall_thickness/2, square_size-d11/2, wall_height/2]) rotate([0,0,-90])
        cylinder(wall_height+.01, d=d11, center=true, $fn=corners1);

        translate([square_size+wall_thickness/2, square_size-d11*1.5-1, wall_height/2]) rotate([0,0,-90])
        cylinder(wall_height+.01, d=d12, center=true, $fn=corners1);

        translate([square_size+wall_thickness/2, square_size-d11*1.5-d12-2, wall_height/2]) rotate([0,0,-90])
        cylinder(wall_height+.01, d=d13, center=true, $fn=corners1);

        translate([square_size+wall_thickness/2, square_size-d11*1.5-d12-d13-3, wall_height/2]) rotate([0,0,-90])
        cylinder(wall_height+.01, d=d14, center=true, $fn=corners1);

        translate([square_size+wall_thickness/2-d21/2, square_size+wall_thickness/2, wall_height/2]) rotate([0,0,-90])
        cylinder(wall_height+.01, d=d21, center=true, $fn=corners2);

        translate([square_size+wall_thickness/2-d21/2-d21-1, square_size+wall_thickness/2, wall_height/2]) rotate([0,0,-90])
        cylinder(wall_height+.01, d=d22, center=true, $fn=corners2);

        translate([square_size+wall_thickness/2-d21/2-d21-d22-2, square_size+wall_thickness/2, wall_height/2]) rotate([0,0,-90])
        cylinder(wall_height+.01, d=d23, center=true, $fn=corners2);

        translate([square_size+wall_thickness/2-d21/2-d21-d22-d23-3, square_size+wall_thickness/2, wall_height/2]) rotate([0,0,-90])
        cylinder(wall_height+.01, d=d24, center=true, $fn=corners2);

}

```