[User]
Okay, I'm looking to create a parametric snap-fit pin connector system for 3D printing, similar to the design I've seen on Thingiverse (https://www.thingiverse.com/thing:213310). I need the system to include both pins and sockets, with options for fixed and free-rotating sockets. I also need control over various dimensions, and support for both pointed and rounded pin ends. I want to design this with a specific focus on ease of use and configurability. I'd like this to be a single file, if possible, but I'm okay with multiple files if needed.

Here are the specific features I'd like to control, ideally through customizable variables within the OpenSCAD file:

**General Parameters:**
*   **`pointed`:** A boolean (1 or 0) to choose between pointed or rounded pin ends.
*   **`fins`:** A boolean (1 or 0) to add fins to the socket (for printing strength). Fins do not affect the pin.
*   **`preload`:** A numerical value that controls the tightness of the snap fit by preloading the pin snaps. This would only affect the pin.
*   **`clearance`:** A numerical value for the gap between the pin and socket hole. Also only affects the pin.
*   **`printable`:** A boolean (1 or 0) to toggle whether the model is oriented for easy printing (pin flat, sockets in cylinders)
*   **`shadow_socket`:** Boolean (1 or 0) to show the socket overlaid on the pin.
*    **`spacing`**: Separation between objects when multiple are shown.
*    **`cylinder_thickness`**: Thickness of the cylinder wall for printable sockets.
*   **`part`:** A string parameter to choose which part to display, with options "pin" (pin only), "socket\_free" (socket with rotation), "socket\_fixed" (fixed socket), "socket\_both" (both sockets), and "all" (pin with both sockets).

**Preconfigured Sizes:**
*   **`size`:** A string parameter with options "tiny", "small", "standard", and "custom" to select preconfigured sizes, or use custom sizing.
*   "tiny" should have these values:
  * `length` = 4
  * `diameter` = 2.5
  * `snap` = 0.25
  * `snapDepth` = 0.9
  * `thickness` = 0.8
*   "small" should have these values:
  * `length` = 6
  * `diameter` = 3.2
  * `snap` = 0.4
  * `snapDepth` = 1.2
  * `thickness` = 1.0
*   "standard" should have these values:
  * `length` = 10.8
  * `diameter` = 7
  * `snap` = 0.5
  * `snapDepth` = 1.8
  * `thickness` = 1.8

**Custom Size Parameters (only used when `size = "custom"`):**
*   **`custom_length`:** The depth of the socket hole (pin is twice this). Doesn't include the tip.
*   **`custom_diameter`:** The diameter of the socket hole opening. The pin diameter is adjusted based on this and `clearance`.
*   **`custom_snap`:** The height of the snap nubs.
*   **`custom_snap_depth`:** How deep the snap nubs are into the socket.
*   **`custom_thickness`:** Thickness of the pin (affects stiffness).

**Specific Modules and Functionality:**

*   **`pin()`:**  Module to create the pin, with adjustable length, diameter, snap nub size and position, thickness, clearance, preload, and whether it's pointed or rounded. The pin should be flat when printable is set to 1
*   **`pinsocket()`:** Module for creating the socket, that can be configured as either fixed or free-rotating, and with optional printing fins. Should be set within a cylinder when printable is set to 1.
*  **`nub()`:** A helper module to create the snap nub features.
*  **`slot()`:** A helper module to subtract from the pin to create the spring/flexibility.
*   **`pinhalf()`:** Create a single half of the pin, to be used with mirroring.

The code should be well-commented and easy to understand, with clear variable names, and include a `$fn = 40` to control the fineness of the rendered output. I'd really appreciate it if you could handle all of the calculations for proper fit of the pin and socket based on these parameters. No libraries are necessary for this. Let me know if you need any clarification. Thanks!

[Assistant]
snap-pins.scad:
```
// Updated pin connectors
// Modified from https://www.thingiverse.com/thing:213310 by Emmett Lalishe
// Creative Commons - Attribution - Share Alike License
// http://creativecommons.org/licenses/by-sa/3.0/

/* [Global] */
// Add a point to the pin and socket
pointed = 1; // [1:yes, 0:no]
// Put fins on socket to help with printing strength, does not affect pin
fins = 1; // [1:yes, 0:no]
// Pulls the snaps together on the pin to ensure a tight coupling, does not affect socket
preload = 0.2;
// Clearance gap between the pin and the socket opening, does not affect socket
clearance = 0.2;
// Make printable, with pin flat, and sockets set into a cylinder
printable = 1; // [1:yes, 0:no]
// Show shadow of socket over pin
shadow_socket = 1; // [1:yes, 0:no]
// Separation between objects
spacing = 20;
// Thickness of cylinder wall around socket when printable
cylinder_thickness = 2;

// Part to display
part = "all"; // [pin:Pin only, socket_free:Socket with rotation, socket_fixed:Fixed Socket, socket_both:Both Sockets, all:Pin with both sockets]

/* [Preconfigured Sizes] */
// Size of snap pin
size = "standard"; // [tiny:Tiny, small:Small, standard:Standard size, custom:Set sizes in Custom tab]

/* [Custom Size] */
// Depth of socket hole. Pin is twice this length. Does not include point if set
custom_length = 10.8;
// Diameter of socket hole opening. Pin will be smaller if clearance is set
custom_diameter = 7;
// Height of snap nubs
custom_snap = 0.5;
// Depth the snap nubs are into the socket
custom_snap_depth = 1.8;
// Thicker makes the pin stiffer, does not affect socket
custom_thickness = 1.8;

/* [Hidden] */
$fn = 40;

if (size == "standard") {
  echo("Standard size");
  render(
    part = part,
    length = 10.8,
    diameter = 7,
    snap = 0.5,
    snapDepth = 1.8,
    thickness = 1.8,
    pointed = pointed,
    fins = fins,
    preload = preload,
    clearance = clearance,
    printable = printable,
    shadowSocket = shadow_socket,
    spacing = spacing,
    cylinderThickness = cylinder_thickness
  );
} else if (size == "tiny") {
  echo("Tiny size");
  render(
    part = part,
    length = 4,
    diameter = 2.5,
    snap = 0.25,
    snapDepth = 0.9,
    thickness = 0.8,
    pointed = pointed,
    fins = fins,
    preload = preload,
    clearance = clearance,
    printable = printable,
    shadowSocket = shadow_socket,
    spacing = spacing,
    cylinderThickness = cylinder_thickness
  );
} else if (size == "small") {
  echo("Small size");
  render(
    part = part,
    length = 6,
    diameter = 3.2,
    snap = 0.4,
    snapDepth = 1.2,
    thickness = 1.0,
    pointed = pointed,
    fins = fins,
    preload = preload,
    clearance = clearance,
    printable = printable,
    shadowSocket = shadow_socket,
    spacing = spacing,
    cylinderThickness = cylinder_thickness
  );
} else { // custom
  echo("Custom size");
  render(
    part = part,
    length = custom_length,
    diameter = custom_diameter,
    snap = custom_snap,
    snapDepth = custom_snap_depth,
    thickness = custom_thickness,
    pointed = pointed,
    fins = fins,
    preload = preload,
    clearance = clearance,
    printable = printable,
    shadowSocket = shadow_socket,
    spacing = spacing,
    cylinderThickness = cylinder_thickness
  );
}

module render(part, radius, length, snapDepth, snap, thickness, pointed, fins, preload, clearance, printable, shadowSocket, spacing, cylinderThickness) {
  echo("length", length);
  echo("diameter", diameter);
  echo("snap", snap);
  echo("snapDepth", snapDepth);
  echo("thickness", thickness);

  radius = diameter / 2;
  cylinderRadius = radius + snap + cylinderThickness;
  cylinderHeight = length + cylinderThickness;

  if (part == "pin") {
    showPin(radius = radius, length = length, snapDepth = snapDepth, snap = snap, thickness = thickness, clearance = clearance, preload = preload, pointed = pointed, printable = printable, shadowSocket = shadowSocket);
  } else if (part == "socket_free") {
    showSocket(radius = radius, length = length, snapDepth = snapDepth, snap = snap, thickness = thickness, pointed = pointed, fixed = 0, fins = fins, printable = printable, cylinderRadius = cylinderRadius, cylinderHeight = cylinderHeight);
  } else if (part == "socket_fixed") {
    showSocket(radius = radius, length = length, snapDepth = snapDepth, snap = snap, thickness = thickness, pointed = pointed, fixed = 1, fins = fins, printable = printable, cylinderRadius = cylinderRadius, cylinderHeight = cylinderHeight);
  } else if (part == "socket_both") {
    translate([-spacing / 2, 0, 0]) {
      showSocket(radius = radius, length = length, snapDepth = snapDepth, snap = snap, thickness = thickness, pointed = pointed, fixed = 0, fins = fins, printable = printable, cylinderRadius = cylinderRadius, cylinderHeight = cylinderHeight);
    }
    translate([spacing / 2, 0, 0]) {
      showSocket(radius = radius, length = length, snapDepth = snapDepth, snap = snap, thickness = thickness, pointed = pointed, fixed = 1, fins = fins, printable = printable, cylinderRadius = cylinderRadius, cylinderHeight = cylinderHeight);
    }
  } else if (part == "all") {
    translate([0, -spacing * printable, 0]) {
      showPin(radius = radius, length = length, snapDepth = snapDepth, snap = snap, thickness = thickness, clearance = clearance, preload = preload, pointed = pointed, printable = printable, shadowSocket = shadowSocket);
      translate([-spacing, 0, 0]) {
        showSocket(radius = radius, length = length, snapDepth = snapDepth, snap = snap, thickness = thickness, pointed = pointed, fixed = 0, fins = fins, printable = printable, cylinderRadius = cylinderRadius, cylinderHeight = cylinderHeight);
      }
      translate([spacing, 0, 0]) {
        showSocket(radius = radius, length = length, snapDepth = snapDepth, snap = snap, thickness = thickness, pointed = pointed, fixed = 1, fins = fins, printable = printable, cylinderRadius = cylinderRadius, cylinderHeight = cylinderHeight);
      }
    }
    if (printable) {
      translate([0, spacing, 0]) {
        showPin(radius = radius, length = length, snapDepth = snapDepth, snap = snap, thickness = thickness, clearance = clearance, preload = preload, pointed = pointed, printable = printable, shadowSocket = shadowSocket);
        translate([-spacing, 0, 0]) {
          showSocket(radius = radius, length = length, snapDepth = snapDepth, snap = snap, thickness = thickness, pointed = pointed, fixed = 1, fins = fins, printable = printable, cylinderRadius = cylinderRadius, cylinderHeight = cylinderHeight);
        }
        translate([spacing, 0, 0]) {
          showSocket(radius = radius, length = length, snapDepth = snapDepth, snap = snap, thickness = thickness, pointed = pointed, fixed = 1, fins = fins, printable = printable, cylinderRadius = cylinderRadius, cylinderHeight = cylinderHeight);
        }
      }
    }
  }
}

module showPin(radius, length, snapDepth, snap, thickness, clearance, preload, pointed, printable, shadowSocket) {
  pin(r = radius, l = length, d = snapDepth, nub = snap, t = thickness, space = clearance, preload = preload, pointed = pointed, flat = printable);
  if (shadowSocket && !printable) {
    %pinsocket(r = radius, l = length, nub = snap, d = snapDepth, fixed = 0, pointed = pointed, fins = 0);
  }
}

module showSocket(radius, length, snapDepth, snap, thickness, pointed, fixed, fins, printable, cylinderRadius, cylinderHeight) {
  if (printable) {
    cylinderShoulder = cylinderHeight - cylinderRadius * (pointed ? .5 : .75);
    difference() {
      intersection() {
        union() {
          translate([0, 0, cylinderShoulder]) {
            if (pointed) {
              cylinder(r1 = cylinderRadius, r2 = 0, h = cylinderRadius);
            } else {
              sphere(r = cylinderRadius);
            }
          }
          cylinder(r = cylinderRadius, h = cylinderShoulder);
        }
        cylinder(r = cylinderRadius, h = cylinderHeight );
        if (fixed) {
          cube([2 * cylinderRadius, 1.8 * cylinderRadius, 2 * (cylinderHeight + cylinderRadius)], center = true);
        }
      }
      pinsocket(r = radius, l = length, nub = snap, d = snapDepth, fixed = fixed, pointed = pointed, fins = fins);
    }
  } else {
    pinsocket(r = radius, l = length, nub = snap, d = snapDepth, fixed = fixed, pointed = pointed, fins = fins);
  }
}

module nub(r, nub, h) {
  union() {
    l = h / 4;
	translate([0, 0, -nub / 2]) {
      cylinder(r1 = r, r2 = r + nub, h = nub);
    }
	translate([0, 0, (nub + l) / 2]) {
      cylinder(r = r + nub, h = l + 0.02, center = true);
    }
	translate([0, 0, (nub / 2) + l]) {
      cylinder(r1 = r + nub, r2 = r, h = (h - (l + nub / 2)));
    }
  }
}

module slot(l, r, t, d, nub, depth, stretch) {
  rotate([-90, 0, 0]) {
    intersection() {
      translate([t, 0, d + t / 4]) {
        scale([1, 4, 1]) {
          nub(r = r + t, nub = nub, h = l - (d + t / 4));
        }
      }
      translate([-t, 0, d + t / 4]) {
        scale([1, 4, 1]) {
          nub(r = r + t, nub = nub, h = l - (d + t / 4));
        }
      }
    }
  }
  cube([2 * r, 2 * l, depth], center = true);
  translate([0, l, 0]) {
    scale([1, stretch, 1]) {
      cylinder(r = r, h = depth, center = true);
    }
  }
}

module pinhalf(r, l, d, nub, t, space, preload, pointed, flat) {
  // First calculate the dimensions as if the clearance space was 0
  rPointInitial = r / sqrt(2);
  stretchInitial = sqrt(2);
  pinTipRound = stretchInitial * r;
  pinTipPointed = stretchInitial * 2 * rPointInitial;
  pinTip = pointed ? pinTipPointed : pinTipRound; // Length of the pin tip adjusted for the point if necessary

  lStraight = l - (pinTipRound + preload); // Length without tips, include room for the preloading
  lPin = lStraight + pinTip;

  rInner = r - space;
  rPoint = rInner / sqrt(2);

  pinTipRoundUnstretched = rInner;
  pinTipPointedUnstretched = 2 * rPoint;
  pinTipUnstretched = pointed ? pinTipPointedUnstretched : pinTipRoundUnstretched; // Length of the pin tip adjusted for the point if necessary

  stretch = pinTip / pinTipUnstretched;
  translate(flat * [0, 0, r / sqrt(2) - space]) {
    rotate((1 - flat) * [90, 0, 0]) {
      difference() {
        rotate([-90, 0, 0]) {
          intersection() {
            difference() {
              union() {
                translate([0, 0, -0.01]) {
                  cylinder(r = rInner, h = lStraight + 0.02);
                }
                translate([0, 0, lStraight]) {
                  scale([1, 1, stretch]) {
                    sphere(r = rInner);
                    if (pointed) {
                      translate([0, 0, rPoint]) {
                        cylinder(r1 = rPoint, r2 = 0, h = rPoint);
                      }
                    }
                  }
                }
                translate([0, 0, d - preload]) {
                  scale([1, 0.9, 1]) {
                    nub(r = rInner, nub = nub + space / 2, h = lStraight - (d - preload));
                  }
                }
              }
            }
            cube([3 * (max(r, r + nub)), r * sqrt(2) - 2 * space, 2 * l + 3 * r], center = true);
          }
        }
        slot(l = lStraight, r = rInner - t, t = t, d = d - preload, nub = nub, depth = 2 * r + 0.02, stretch = stretch);
      }
    }
  }
}

module pinsocket(r, l, d, nub, fixed, pointed, fins) {
  stretch = sqrt(2);

  tipRound = r;
  pinTipRound = stretch * tipRound;

  rPoint = r / sqrt(2);
  tipPointed = 2 * rPoint;
  pinTipPointed = stretch * tipPointed;

  tip = pointed ? tipPointed : tipRound; // Length of the socket tip adjusted for the point if necessary
  pinTip = pointed ? pinTipPointed : pinTipRound; // Length of the pin tip adjusted for the point if necessary

  lPin = l - pinTipRound + pinTip;

  lStraight = lPin - tip; // length to the shoulder

  intersection() {
	union() {
      translate([0, 0, -0.1]) {
        cylinder(r = r, h = lStraight + 0.1);
      }
      translate([0, 0, lStraight]) {
        sphere(r = r);
        if (pointed) {
          translate([0, 0, rPoint]) {
            cylinder(r1 = rPoint, r2 = 0, h = rPoint);
          }
        }
      }
      translate([0, 0, d]) {
        nub(r = r, nub = nub, h = lStraight - d);
      }
      if (fins) {
        translate([0, 0, lStraight]) {
          cube([2 * r, 0.01, 2 * tip], center = true);
          cube([0.01, 2 * r, 2 * tip], center = true);
        }
      }
	}
	if (fixed) {
      cube([3 * (max(r, r + nub)), r * sqrt(2), 3 * lPin + 3 * r], center = true);
    }
  }
}

module pin(r, l, d, nub, t, space, preload, pointed, flat) {
  union() {
	pinhalf(r = r, l = l, d = d, nub = nub, t = t, space = space, preload = preload, pointed = pointed, flat = flat);
	mirror([0, flat ? 1 : 0, flat ? 0 : 1]) {
      pinhalf(r = r, l = l, d = d, nub = nub, t = t, space = space, preload = preload, pointed = pointed, flat = flat);
    }
  }
}

```


[User]
I'd like to create a parametric bracket that I can use for various mounting purposes. I need to be able to adjust the width, height, and span of the bracket, as well as its thickness. The bracket should have rounded corners and a generally rectangular profile. I'd also like screw holes for mounting, which should be recessed. It's important that the screw holes are added in a modular way such that I can easily move them around or add more.

The bracket should have a basic rectangular pipe shape with rounded corners on both the inner and outer edges. The mounting holes need to be along the span-wise direction and on each side. I want to use 3mm screws for mounting, but I also want the screw holes to allow for the screw head to be sunk in a bit. I'd like it to be based on the code I saw [here](https://www.thingiverse.com/thing:3204839), but I'd like the AI to generate the code rather than simply copying it. I'm looking for flexibility here, so I need it to be parametric and easy to adjust. Can you help me with this? I don't need any special libraries, as far as I know.

[Assistant]
bracket_mount.scad:
```
// bracket_mount.scad
// library for parametric bracket, mount, clamp, holder, clip, grip, strap, hanger
// Author: Tony Z. Tonchev, Michigan (USA)
// last update: November 2018

// (in mm)
Bracket_Width = 10;

// (in mm)
Bracket_Height = 10;

// (in mm)
Bracket_Span = 10;

// (in mm)
Bracket_Thickness = 3;

/* [Hidden] */

$fn=50;
TZT_BR=min(Bracket_Span,Bracket_Height)/2;
TZT_BW=max(10,Bracket_Width);
TZT_BH=max(Bracket_Height,Bracket_Thickness)+Bracket_Thickness;
TZT_BS=Bracket_Span+2*Bracket_Thickness;
TZT_BT=Bracket_Thickness;

rotate ([90,0,0]) difference () {
    union () {
        difference () {
            union () {
                rotate ([90,0,0]) TZT_Pipe (TZT_BH*2,TZT_BS,TZT_BW,TZT_BR,TZT_BT);
                TZT_Rod (TZT_BW,TZT_BS+20,min(TZT_BT,10)*2,1);
            }
            translate ([0,0,-TZT_BH/2]) cube ([TZT_BS+20,TZT_BW+.01,TZT_BH],true);
            cube ([TZT_BS-TZT_BT*2,TZT_BW+.01,TZT_BT*2.01],true);
        }
        TZT_a=min(TZT_BT,5,TZT_BR);
        for (TZT_i=[0:180:180]) {
            rotate ([0,0,TZT_i]) translate ([TZT_BS/2+TZT_a/2,0,TZT_BT+TZT_a/2]) rotate ([90,0,0]) TZT_InRad (TZT_a, TZT_BW);
        }
    }
    for (TZT_i=[0:180:180]) {
        if (TZT_BW<40) {
            rotate ([0,0,TZT_i]) translate ([-TZT_BS/2-5,0,-3]) TZT_ScrHole ();
        } else {
            for (TZT_a=[-1:2:1]) {
                rotate ([0,0,TZT_i]) translate ([-TZT_BS/2-5,TZT_a*TZT_BW/4,-3]) TZT_ScrHole ();
            }
        }
    }
}

// 3mm screw hole - recessed at 3mm+
// TZT_ScrHole ()
module TZT_ScrHole () {
    cylinder (TZT_BT+1,1.5,1.5);
    translate ([0,0,+TZT_BT+.01]) if (TZT_BT<3) {
        cylinder (3.1,1.5,1.5);
    } else {
        cylinder (3,1.5,4.5);
    }
    translate ([0,0,+TZT_BT+3]) cylinder (3,4.5,4.5);
}

// Rounded corner rectangular pipe
// TZT_Pipe (Width, Height, Length, Corner_Radius, Wall_Thickness)
module TZT_Pipe (TZT_w,TZT_h,TZT_l,TZT_r,TZT_t) {
    difference () {
        TZT_Rod (TZT_w,TZT_h,TZT_l,TZT_r);
        TZT_Rod (TZT_w-2*TZT_t,TZT_h-2*TZT_t,TZT_l+.01,TZT_r-TZT_t);
    }
}

// Rounded inside corner
// TZT_InRad (Width, Length)
module TZT_InRad (TZT_w, TZT_l) {
    difference () {
        cube ([TZT_w,TZT_w,TZT_l],true);
        translate ([TZT_w/2,TZT_w/2,0]) cylinder (TZT_l+.01,TZT_w,TZT_w,true);
    }
}

// Rounded corner rectangular rod
// TZT_Rod (Width, Height, Length, Corner_Radius)
module TZT_Rod (TZT_w,TZT_h,TZT_l,TZT_r) {
    iTZT_RH ();
    mirror ([1,0,0]) iTZT_RH ();
    module iTZT_RH () {
        iTZT_RQ ();
        mirror ([0,1,0]) iTZT_RQ ();
    }
    module iTZT_RQ () {
        translate ([-TZT_h/4+.01,-TZT_w/4+.01,0]) {
            difference () {
                cube ([TZT_h/2,TZT_w/2,TZT_l],true);
                translate ([-TZT_h/4+TZT_r/2,-TZT_w/4+TZT_r/2,0]) TZT_InRad (TZT_r+.01, TZT_l+.01);
            }
        }
    }
}

```


[User]
I'm looking to create a modular, stackable box system with screw-on lids and bases, where the lid of one box can screw onto the base of another. The boxes should have rounded corners for a more finished look.

Here are the specific requirements and parameters I want to be able to control:

*   **Two Box Sizes:** I need to be able to define two distinct sets of dimensions for the boxes, let's call them "Box 1" and "Box 2".
*   **Box Dimensions:**
    *   `bodyHeight1`, `bodyWidth1`: Height and width (which will be used for both the x and y dimensions for a cube) for Box 1's main body.
    *   `bodyHeight2`, `bodyWidth2`: Height and width for Box 2's main body.
*   **Lid Dimensions:**
    *   `capHeight1`: Height of the lid for Box 1.
    *   `capHeight2`: Height of the lid for Box 2. The lid for Box 2 should be the base when boxes are stacked vertically.
*   **Screw Threads:**
    *   `threadPitch1`: The pitch of the screw threads for Box 1.
    *   `threadTurns1`: The number of turns for the screw threads for Box 1.
     *   `threadPitch2`: The pitch of the screw threads for Box 2.
    *   `threadTurns2`: The number of turns for the screw threads for Box 2.

*   **Rounding:**
    *   `rounding`: The radius of the rounded corners for all parts of the box and lid.
*   **Wall Thickness:**
    *   `wall`: The wall thickness for all parts of the box and lid.
*   **Precision:**
    *   `precision`: Variable to control number of $fn for all curves (circle, cylinder etc.).
     *   `threadPrecision`: Variable to control number of $fn for threads.
*   **Boolean Draw Controls**
   *    `drawCap1`, `drawCap2`, `drawBody1`, `drawBody2`: Boolean variables to control whether specific parts are rendered.

*   **Stacking Feature**: The key feature is that the top of Box 1 and the bottom of Box 2 can screw into each other.  The bottom of Box 2 should have the thread, like a lid would, while the top of Box 1 should have the thread as part of the body, like a typical screw.

I want to be able to generate the top and the base of the two different boxes independently. Make sure that Box 2's "cap" (which will serve as the bottom) has threads on the inside to accept the base of Box 1. I would prefer the screw threads be rendered accurately, rather than just a hollow cylinder.

I'd like this all done with parameters, and I think I would prefer to have the threads generated by modules from a library to make this more modular. Can you use the included "thread library" within a single file?

[Assistant]
cuboidal_double_box_rounded.scad:
```
// Cuboidal rounded box with screw top

//////////////////////////////////////////////////
// constants
//////////////////////////////////////////////////

capHeight1 = 10;
bodyHeight1 = 50;
bodyWidth1 = 50;
threadPitch1 = 5;
threadTurns1 = 1;

bodyHeight2 = 50;
bodyWidth2 = 50;
threadPitch2 = 5;
threadTurns2 = 1;

rounding = 5;
fullCap = 0;
wall = 1;
precision = 50;
threadPrecision = precision;
$fn = precision;

drawCap1 = 1;
drawCap2 = 1;
drawBody1 = 1;
drawBody2 = 1;

//////////////////////////////////////////////////
// draw objects
//////////////////////////////////////////////////

if (drawCap1) cap(capHeight1, bodyWidth1, threadPitch1, threadTurns1);
if (drawCap2) rotate([180,0,0]) translate([bodyWidth2+wall,0,-threadPitch2*(threadTurns2+0.5)]) cap(0, bodyWidth2, threadPitch2, threadTurns2);
if (drawBody1) translate([bodyWidth2+wall,0,threadPitch2*(threadTurns2+0.5)]) body(bodyHeight1, bodyWidth1, threadPitch1, threadTurns1);
if (drawBody2) translate([2*bodyWidth2+3*wall,0,0]) body(bodyHeight2, bodyWidth2, threadPitch2, threadTurns2);

//////////////////////////////////////////////////
// modules
//////////////////////////////////////////////////

module cap(height = 0, width = 15, threadPitch = 2, threadTurns = 1
) {
	difference (){
		union () {
			translate ([0,0,height]) trapezoidThread(length=threadTurns*threadPitch, pitch=threadPitch, pitchRadius = width/2-threadPitch/4-wall, stepsPerTurn=threadPrecision);
			cylinder(r=width/2,h=height);
		}

		translate([0,0,-.01]) notches(r1=width/2-threadPitch/2, r2=width/2, h=height+0.02);
		torus(r=width/2);
		if(!fullCap) translate([0,0,wall]) cylinder(r=width/2-2*wall-threadPitch/2,h=height+(threadTurns+1)*threadPitch);
	}
}

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

module notches(r1=1, r2=2, h=1){
  pi = 3.1415926535897932384626433832795;
	r3 = (r2-r1)*1.5 + r1; //actual outer radius
	r4 = r3-r1; //notch radius
	number = floor(pi*r3/r4*.8);
	angle = 360/number;
	for(i = [0 : angle : 360]) {
			rotate([0,0,i]) translate ([r3,0,0]) cylinder (r=r4,h=h,center=false);
	}
}

module body(height = 20, width = 15, threadPitch = 2, threadTurns = 1
) {
	h1 = threadPitch*(threadTurns+.5); // thread height
	h2 = height-(h1-wall); // height of straight body

	rotate([180,0,0]) translate([0,0,-height]){
		// straight body
		difference(){
			translate([-width/2,-width/2,h1]) difference(){
				cubeRounded([width,width,h2-wall], r=rounding);
				translate ([wall,wall,-2*wall]) cubeRounded([width-2*wall,width-2*wall,h2], r=rounding-wall);
			}
		}

		// slope body
		difference(){
			union(){
				// outer body
				rotate([0,0,45]) translate ([0,0,-width/2+h1]) cylinder (r1=0,r2=width/2*sqrt(2),h=width/2, $fn=4);
				// inner slope
				difference(){
					translate([0,0,h1]) cylinder(h=(r1+r2)/4-0.01,r=r2);
					r1=width/2-threadPitch/2-wall;
					r2=width*sqrt(2)/2;
					translate([0,0,h1]) cylinder(h=(r1+r2)/4,r1=r1,r2=r2);
					body_thread(2*h1);
				}
			}
			//center hole
			translate ([0,0,-width+0.001]) cylinder (r=width/2,h=h1+width+0.001);
			// rounding edges
			difference(){
				translate([-width,-width,0]) cube([width*2,width*2,5*h2]);
				translate([-width/2,-width/2,0]) cubeRounded([width,width,h2], r=rounding);
			}
			// cutting top
			translate([-width/2,-width/2,-width]) cube([width,width,width]);
		}

		// thread
		difference(){
			translate ([0,0,0]) cylinder (r=width/2,h=h1);
			body_thread(2*h1, width, threadPitch);
		}
	}
}

module cubeRounded(dim=[10,10,10], r=1){
	difference(){
		cube(dim);
		translate([-0.001,-0.001,-0.001]) cube([r+0.001,r+0.001,dim[2]+0.002]);
		translate([dim[0]+0.001-r,-0.001,-0.001]) cube([r+0.001,r+0.001,dim[2]+0.002]);
		translate([-0.001,dim[1]+0.001-r,-0.001]) cube([r+0.001,r+0.001,dim[2]+0.002]);
		translate([dim[0]+0.001-r,dim[1]+0.001-r,-0.001]) cube([r+0.001,r+0.001,dim[2]+0.002]);
	}
	translate([r,r,0]) cylinder(r=r, h=dim[2]);
	translate([dim[0]-r,r,0]) cylinder(r=r, h=dim[2]);
	translate([r,dim[1]-r,0]) cylinder(r=r, h=dim[2]);
	translate([dim[0]-r,dim[1]-r,0]) cylinder(r=r, h=dim[2]);
}

module body_thread(h = 1, width = 10, threadPitch = 3) {
	translate ([0,0,0]) trapezoidThreadNegativeSpace(length=h, pitch=threadPitch, pitchRadius = width/2-threadPitch/4-wall, stepsPerTurn=threadPrecision);
}

/*
* Thread library: http://www.thingiverse.com/thing:8793 by syvwlch
* Copied in to have one code file
*/

module threadPiece(Xa, Ya, Za, Xb, Yb, Zb, radiusa, radiusb, tipRatioa, tipRatiob, threadAngleTop, threadAngleBottom)
{
	angleZ=atan2(Ya, Xa);
	twistZ=atan2(Yb, Xb)-atan2(Ya, Xa);

	polyPoints=[
		[Xa+ radiusa*cos(+angleZ),		Ya+ radiusa*sin(+angleZ),		Za ],
		[Xa+ radiusa*cos(+angleZ),		Ya+ radiusa*sin(+angleZ),		Za + radiusa*tipRatioa ],
		[Xa ,						Ya ,						Za+ radiusa*(tipRatioa+sin(threadAngleTop)) ],
		[Xa ,						Ya ,						Za ],
		[Xa ,						Ya ,						Za+ radiusa*sin(threadAngleBottom) ],

		[Xb+ radiusb*cos(angleZ+twistZ),	Yb+ radiusb*sin(angleZ+twistZ),	Zb ],
		[Xb+ radiusb*cos(angleZ+twistZ),	Yb+ radiusb*sin(angleZ+twistZ),	Zb+ radiusb*tipRatiob ],
		[Xb ,						Yb ,						Zb+ radiusb*(tipRatiob+sin(threadAngleTop)) ],
		[Xb ,						Yb ,						Zb ],
		[Xb ,						Yb ,						Zb+ radiusb*sin(threadAngleBottom)] ];

	polyTriangles=[
		[ 0, 1, 6 ], [ 0, 6, 5 ], 					// tip of profile
		[ 1, 7, 6 ], [ 1, 2, 7 ], 					// upper side of profile
		[ 0, 5, 4 ], [ 4, 5, 9 ], 					// lower side of profile
		[ 4, 9, 3 ], [ 9, 8, 3 ], [ 3, 8, 2 ], [ 8, 7, 2 ], 	// back of profile
		[ 0, 4, 3 ], [ 0, 3, 2 ], [ 0, 2, 1 ], 			// a side of profile
		[ 5, 8, 9 ], [ 5, 7, 8 ], [ 5, 6, 7 ]  			// b side of profile
		 ];

	polyhedron( polyPoints, polyTriangles );
}

module shaftPiece(Xa, Ya, Za, Xb, Yb, Zb, radiusa, radiusb, tipRatioa, tipRatiob, threadAngleTop, threadAngleBottom)
{
	angleZ=atan2(Ya, Xa);
	twistZ=atan2(Yb, Xb)-atan2(Ya, Xa);

	threadAngleTop=15;
	threadAngleBottom=-15;

	shaftRatio=0.5;

	polyPoints1=[
		[Xa,						Ya,						Za + radiusa*sin(threadAngleBottom) ],
		[Xa,						Ya,						Za + radiusa*(tipRatioa+sin(threadAngleTop)) ],
		[Xa*shaftRatio,				Ya*shaftRatio ,				Za + radiusa*(tipRatioa+sin(threadAngleTop)) ],
		[Xa*shaftRatio ,				Ya*shaftRatio ,				Za ],
		[Xa*shaftRatio ,				Ya*shaftRatio ,				Za + radiusa*sin(threadAngleBottom) ],

		[Xb,						Yb,						Zb + radiusb*sin(threadAngleBottom) ],
		[Xb,						Yb,						Zb + radiusb*(tipRatiob+sin(threadAngleTop)) ],
		[Xb*shaftRatio ,				Yb*shaftRatio ,				Zb + radiusb*(tipRatiob+sin(threadAngleTop)) ],
		[Xb*shaftRatio ,				Yb*shaftRatio ,				Zb ],
		[Xb*shaftRatio ,				Yb*shaftRatio ,				Zb + radiusb*sin(threadAngleBottom) ] ];

	polyTriangles1=[
		[ 0, 1, 6 ], [ 0, 6, 5 ], 					// tip of profile
		[ 1, 7, 6 ], [ 1, 2, 7 ], 					// upper side of profile
		[ 0, 5, 4 ], [ 4, 5, 9 ], 					// lower side of profile
		[ 3, 4, 9 ], [ 9, 8, 3 ], [ 2, 3, 8 ], [ 8, 7, 2 ], 	// back of profile
		[ 0, 4, 3 ], [ 0, 3, 2 ], [ 0, 2, 1 ], 			// a side of profile
		[ 5, 8, 9 ], [ 5, 7, 8 ], [ 5, 6, 7 ]  			// b side of profile
		 ];

	// this is the back of the raised part of the profile
	polyhedron( polyPoints1, polyTriangles1 );
}

module trapezoidThread(
	length=45,				// axial length of the threaded rod
	pitch=10,				// axial distance from crest to crest
	pitchRadius=10,			// radial distance from center to mid-profile
	threadHeightToPitch=0.5,	// ratio between the height of the profile and the pitch
						// std value for Acme or metric lead screw is 0.5
	profileRatio=0.5,			// ratio between the lengths of the raised part of the profile and the pitch
						// std value for Acme or metric lead screw is 0.5
	threadAngle=30,			// angle between the two faces of the thread
						// std value for Acme is 29 or for metric lead screw is 30
	RH=true,				// true/false the thread winds clockwise looking along shaft, i.e.follows the Right Hand Rule
	clearance=0.1,			// radial clearance, normalized to thread height
	backlash=0.1,			// axial clearance, normalized to pitch
	stepsPerTurn=24			// number of slices to create per turn
		)
{

	numberTurns=length/pitch;

	steps=stepsPerTurn*numberTurns;

	trapezoidRatio=				2*profileRatio*(1-backlash);

	function	threadAngleTop(i)=	threadAngle/2;
	function	threadAngleBottom(i)=	-threadAngle/2;

	function 	threadHeight(i)=		pitch*threadHeightToPitch;

	function	pitchRadius(i)=		pitchRadius;
	function	minorRadius(i)=		pitchRadius(i)-0.5*threadHeight(i);

	function 	X(i)=				minorRadius(i)*cos(i*360*numberTurns);
	function 	Y(i)=				minorRadius(i)*sin(i*360*numberTurns);
	function 	Z(i)=				pitch*numberTurns*i;

	function	tip(i)=			trapezoidRatio*(1-0.5*sin(threadAngleTop(i))+0.5*sin(threadAngleBottom(i)));

	// this is the threaded rod

	if (RH==true)
	translate([0,0,-threadHeight(0)*sin(threadAngleBottom(0))])
	for (i=[0:steps-1])
	{
		threadPiece(
			Xa=				X(i/steps),
			Ya=				Y(i/steps),
			Za=				Z(i/steps),
			Xb=				X((i+1)/steps),
			Yb=				Y((i+1)/steps),
			Zb=				Z((i+1)/steps),
			radiusa=			threadHeight(i/steps),
			radiusb=			threadHeight((i+1)/steps),
			tipRatioa=			tip(i/steps),
			tipRatiob=			tip((i+1)/steps),
			threadAngleTop=		threadAngleTop(i),
			threadAngleBottom=	threadAngleBottom(i)
			);

		shaftPiece(
			Xa=				X(i/steps),
			Ya=				Y(i/steps),
			Za=				Z(i/steps),
			Xb=				X((i+1)/steps),
			Yb=				Y((i+1)/steps),
			Zb=				Z((i+1)/steps),
			radiusa=			threadHeight(i/steps),
			radiusb=			threadHeight((i+1)/steps),
			tipRatioa=			tip(i/steps),
			tipRatiob=			tip((i+1)/steps),
			threadAngleTop=		threadAngleTop(i),
			threadAngleBottom=	threadAngleBottom(i)
			);
	}

	if (RH==false)
	translate([0,0,-threadHeight(0)*sin(threadAngleBottom(0))])
	mirror([0,1,0])
	for (i=[0:steps-1])
	{
		threadPiece(
			Xa=				X(i/steps),
			Ya=				Y(i/steps),
			Za=				Z(i/steps),
			Xb=				X((i+1)/steps),
			Yb=				Y((i+1)/steps),
			Zb=				Z((i+1)/steps),
			radiusa=			threadHeight(i/steps),
			radiusb=			threadHeight((i+1)/steps),
			tipRatioa=			tip(i/steps),
			tipRatiob=			tip((i+1)/steps),
			threadAngleTop=		threadAngleTop(i),
			threadAngleBottom=	threadAngleBottom(i)
			);

		shaftPiece(
			Xa=				X(i/steps),
			Ya=				Y(i/steps),
			Za=				Z(i/steps),
			Xb=				X((i+1)/steps),
			Yb=				Y((i+1)/steps),
			Zb=				Z((i+1)/steps),
			radiusa=			threadHeight(i/steps),
			radiusb=			threadHeight((i+1)/steps),
			tipRatioa=			tip(i/steps),
			tipRatiob=			tip((i+1)/steps),
			threadAngleTop=		threadAngleTop(i),
			threadAngleBottom=	threadAngleBottom(i)
			);
	}

	rotate([0,0,180/stepsPerTurn])
	cylinder(
		h=length+threadHeight(1)*(tip(1)+sin( threadAngleTop(1) )-1*sin( threadAngleBottom(1) ) ),
		r1=minorRadius(0)-clearance*threadHeight(0),
		r2=minorRadius(0)-clearance*threadHeight(0)
			);
}

module trapezoidThreadNegativeSpace(
	length=45,				// axial length of the threaded rod
	pitch=10,				// axial distance from crest to crest
	pitchRadius=10,			// radial distance from center to mid-profile
	threadHeightToPitch=0.5,	// ratio between the height of the profile and the pitch
						// std value for Acme or metric lead screw is 0.5
	profileRatio=0.5,			// ratio between the lengths of the raised part of the profile and the pitch
						// std value for Acme or metric lead screw is 0.5
	threadAngle=30,			// angle between the two faces of the thread
						// std value for Acme is 29 or for metric lead screw is 30
	RH=true,				// true/false the thread winds clockwise looking along shaft, i.e.follows the Right Hand Rule
	countersunk=0,			// depth of 45 degree chamfered entries, normalized to pitch
	clearance=0.1,			// radial clearance, normalized to thread height
	backlash=0.1,			// axial clearance, normalized to pitch
	stepsPerTurn=24			// number of slices to create per turn
		)
{

	translate([0,0,-countersunk*pitch])
	cylinder(
		h=2*countersunk*pitch,
		r2=pitchRadius+clearance*pitch+0.25*pitch,
		r1=pitchRadius+clearance*pitch+0.25*pitch+2*countersunk*pitch
			);

	translate([0,0,countersunk*pitch])
	translate([0,0,-pitch])
	trapezoidThread(
		length=length+0.5*pitch, 				// axial length of the threaded rod
		pitch=pitch, 					// axial distance from crest to crest
		pitchRadius=pitchRadius+clearance*pitch, 	// radial distance from center to mid-profile
		threadHeightToPitch=threadHeightToPitch, 	// ratio between the height of the profile and the pitch
									// std value for Acme or metric lead screw is 0.5
		profileRatio=profileRatio, 			// ratio between the lengths of the raised part of the profile and the pitch
									// std value for Acme or metric lead screw is 0.5
		threadAngle=threadAngle,			// angle between the two faces of the thread
									// std value for Acme is 29 or for metric lead screw is 30
		RH=true, 						// true/false the thread winds clockwise looking along shaft
									// i.e.follows  Right Hand Rule
		clearance=0, 					// radial clearance, normalized to thread height
		backlash=-backlash, 				// axial clearance, normalized to pitch
		stepsPerTurn=stepsPerTurn 			// number of slices to create per turn
			);

	translate([0,0,length-countersunk*pitch])
	cylinder(
		h=2*countersunk*pitch,
		r1=pitchRadius+clearance*pitch+0.25*pitch,
		r2=pitchRadius+clearance*pitch+0.25*pitch+2*countersunk*pitch
			);
}

module trapezoidNut(
	length=45,				// axial length of the threaded rod
	radius=25,				// outer radius of the nut
	pitch=10,				// axial distance from crest to crest
	pitchRadius=10,			// radial distance from center to mid-profile
	threadHeightToPitch=0.5,	// ratio between the height of the profile and the pitch
						// std value for Acme or metric lead screw is 0.5
	profileRatio=0.5,			// ratio between the lengths of the raised part of the profile and the pitch
						// std value for Acme or metric lead screw is 0.5
	threadAngle=30,			// angle between the two faces of the thread
						// std value for Acme is 29 or for metric lead screw is 30
	RH=true,				// true/false the thread winds clockwise looking along shaft, i.e.follows the Right Hand Rule
	countersunk=0,			// depth of 45 degree chamfered entries, normalized to pitch
	clearance=0.1,			// radial clearance, normalized to thread height
	backlash=0.1,			// axial clearance, normalized to pitch
	stepsPerTurn=24			// number of slices to create per turn
		)
{
	difference()
	{
		cylinder(
			h=length,
			r1=radius,
			r2=radius
				);

		trapezoidThreadNegativeSpace(
			length=length, 					// axial length of the threaded rod
			pitch=pitch, 					// axial distance from crest to crest
			pitchRadius=pitchRadius, 			// radial distance from center to mid-profile
			threadHeightToPitch=threadHeightToPitch, 	// ratio between the height of the profile and the pitch
										// std value for Acme or metric lead screw is 0.5
			profileRatio=profileRatio, 			// ratio between the lengths of the raised part of the profile and the pitch
										// std value for Acme or metric lead screw is 0.5
			threadAngle=threadAngle,			// angle between the two faces of the thread
										// std value for Acme is 29 or for metric lead screw is 30
			RH=true, 						// true/false the thread winds clockwise looking along shaft
										// i.e.follows  Right Hand Rule
			countersunk=countersunk,			// depth of 45 degree countersunk entries, normalized to pitch
			clearance=clearance, 				// radial clearance, normalized to thread height
			backlash=backlash, 				// axial clearance, normalized to pitch
			stepsPerTurn=stepsPerTurn 			// number of slices to create per turn
				);
	}
}
```


[User]
Hey, I'm looking to generate some random aember tokens for Keyforge, and I'd like to do it parametrically in OpenSCAD.

Basically, each token should be a somewhat irregular shape created by extruding the hull of two squares, one nested inside the other, at two slightly different scales. I want a mirrored version of that as well.

Here are some details:

*   **Core Shape:** Start with a square.
*   **Nested Square:** Create a second, smaller square, and translate it slightly both in the x and y direction.
*   **Hull:** Hull these two squares together to create an irregular shape.
*   **Extrude:** Extrude this hull shape to a fixed height. Use different scales on the bottom and top for the extrusion.
*   **Mirror:** Create a mirrored version of that extrusion.
*   **Second Extrusion:** The same hull of two squares, but extruded separately from the mirrored one. This time the scaling will also be different.
*   **Randomness:** The side length of each square should be a random value between 6 and 18. The translation of the nested square should also be random, between 8 and 10. Also, both bottom and top scale factors during the two extrusions should be random, between 0.65 and 0.85.
*   **Layout:** The script should accept a parameter, `numberOfParts`, and lay out the appropriate number of tokens in a grid pattern. If number of parts is even, tokens should be placed on a 2x3 grid per part. If number of parts is odd, use a 2x3 grid for the 'full' parts, and a 3x3 grid for the final one. If `numberOfParts` equals 1, then just place 3 parts.

I think that's about it. I don't need anything fancy, just a way to generate a bunch of random aember tokens easily. Thanks!

[Assistant]
random_aember_final.scad:
```

// How many parts do you want??
numberOfParts= 1; // [1:20]

//!OpenSCAD
module aember(x,y) {
   translate([x,y]){
        mirror([0,0,1]){
          linear_extrude( height=height, twist=0, scale=[scale1, scale2], center=false){
            hull(){
              square([square1, square1], center=true);
              translate([translate2, translate2, 0]){
                square([square2, square2], center=true);
              }
            }
          }
        }
        linear_extrude( height=height, twist=0, scale=[scale3, scale4], center=false){
          hull(){
            square([square1, square1], center=true);
            translate([translate2, translate2, 0]){
              square([square2, square2], center=true);
            }
          }
        }
    }
    square1 = round(rands(6,18,1)[0]);
    square2 = round(rands(6,18,1)[0]);
    height = 3;
    translate2 = round(rands(8,10,1)[0]);
    scale1 = rands(0.65,0.85,1)[0];
    scale2 = rands(0.65,0.85,1)[0];
    scale3 = rands(0.65,0.85,1)[0];
    scale4 = rands(0.65,0.85,1)[0];

}

if(numberOfParts%2==0){
    for(i = [1:(numberOfParts/2)]){
    aember(i*35, 1);
    aember(i*35,1);
    aember(i*35,1);
    for(x = [1:(numberOfParts/2)]){
        aember(i*35, 35);
        aember(i*35, 35);
        aember(i*35,35);
        }
    }
}
else if(numberOfParts!=1){
    for(i = [1:(numberOfParts/2)]){
    aember(i*35, 1);
    aember(i*35,1);
    aember(i*35,1);
    for(x = [1:((numberOfParts/2)+1)]){
        aember(x*35, 35);
        aember(x*35, 35);
        aember(x*35,35);
        }
    }
}
else if(numberOfParts==1){
    aember(35, 1);
    aember(35,1);
    aember(35,1);
}

```


[User]
I'd like a parametric OpenSCAD design for a bit holder, something that looks like a set of cascading steps, each step holding a row of drill bits or similar.

Specifically, I need these parameters:
*   **Number of Rows (stairs):** The number of stepped rows in the design.
*   **Step Height Increment (stairinc):** The height difference between each subsequent step, measured from the previous row's top surface.
*   **Bits Per Row (number):** The number of bits that can be stored in each row.
*   **Bit Diameter (bit_diameter):** The diameter of a single bit storage location; this would be a hexagon that can fit a drill bit or similar tool.

The design should be a series of cascading "rows". Each row will be a rectangular block, and each row will get progressively higher, controlled by `stairinc`.  On each row, there will be a series of hexagonal holes for storing the bits. The hexagons need to be sized so that they fit the drill bits or tools.

Also, could we use `linear_extrude` to form the hexagonal cutouts? And it would be great if the origin of each hexagon was centered for that. Could we do this all without using external libraries?

[Assistant]
cascading_bitstorage.scad:
```
$fn=30;

// How many rows of bits do you want?
stairs = 4;
// How much heigher shouch each step be?
strairinc = 8;
// How many bits go on each step?
number = 10;

width = 10 * (number);

for (i=[1:stairs]) {
	row(i);
}

module row(pos) {
	translate([0, 10*(pos-1), 0])
		difference() {
				cube([width, 10, 10+(strairinc*(pos-1))]);
				for (i=[0:number-1]) {
					bit(5+10*i,5,0.5+(strairinc*(pos-1)));
				}
			}
}

module bit(x,y,z) {
	translate([0,0,4+2+z]) linear_extrude(height=8,center=true) hexagon(3.4,x,y);
}

module hexagon(r,x,y){
polygon(points=[[(r+x),(r*(tan(30)))+y],
                [x,(r*(2/sqrt(3)))+y],
                [-r+x,(r*(tan(30)))+y],
                [-r+x,-(r*(tan(30)))+y],
                [x,-(r*(2/sqrt(3)))+y],
                [r+x,-(r*(tan(30)))+y]]);

 }

```


[User]
Hi there, I'm looking to create a customizable hinge for a project and I'd like to use OpenSCAD to do it. I've seen some examples, but I want to make one from scratch that I can really tweak.

Here's what I have in mind, it's a pretty detailed description so hopefully you can get the idea:

*   **Mounting:** The hinge can be mounted on the left or the right side (relative to the orientation of the hinge, so it needs a parameter for that, maybe `left_or_right_mount = "left" or "right"`). This changes which side the hinge's barrel is on.

*   **Thickness:** The main hinge body needs a thickness parameter (`scharnier_dicke`).

*  **Backplates:** I need the ability to specify the number of backplates (which will be flat rectangular pieces with screw holes that attach the hinge to the project) , probably something like `backplates=0,1 or 2`.

*   **Size:** The height and length of the hinge should be customizable (`hinge_height` and `hinge_length`).

*   **Screw Holes (Backplate):** There need to be screw holes in the backplates, and the radius of these holes should be adjustable (`radius_screw_backplate`).

*   **Screw Holes (Hinge):** Also, there should be screw holes in the main hinge body itself for mounting purposes. The radius of these holes needs a parameter, too (`radius_screw_hinge`).

*   **Pin:** The hinge should have a pin that holds both halves together, and its radius should be adjustable (`pin_radius`).

*   **Coupler:** There should be a coupler that attaches to each side of the hinge. There needs to be a parameter to change the strength or thickness of the coupler (`coupler_strength`).

*   **Fixing Hole Placement:** The distance from the fixing holes to the edges needs to be customizable (`fixing_holes_distance_edge`). The amount of fixing holes needs parameters for horizontal and vertical directions (`fixing_holes_amount_vertical`, `fixing_holes_amount_horizontal`).

*   **Pin Airgap:** The pin needs a small gap for easy insertion, controlled by a variable `pin_airgap`. The inside radius of the coupler should be calculated from the `pin_radius` and the `pin_airgap` so that the pin fits snugly.

*   **Outer Radius:** The outer radius of the coupler should be calculated from the inner radius and the `coupler_strength`

*   **Pin Head:** The pin should have a head, so I need parameters for its radius `pin_head_radius` and its height `pin_head_height`.

*   **Extra Space:** I need a little extra space around the hinge so that it can turn easier, so there should be an `extra_space_outer_diameter` parameter.

*   **Couplers:** The number of couplers should be adjustable (`couplers_amount`).

*   **Coupler Air:** There should be a small air gap between the couplers (`couplers_air_between`).

*   **Coupler Length:** The length of each coupler should also be calculated dynamically from other parameters like the `hinge_height` and the `couplers_amount`.

I think that's all the parameters.

I'm envisioning the design will use modules like `pin()`, `fixating_holes()`, `backplate()`, `hohl_achse()`, `extra_space_hohl_achse()`, `hinge()`, and `scharnier_full()`. The `hohl_achse` and `extra_space_hohl_achse` modules will need to know if its for the "left" or "right" mount.

The final output should be multiple instances of `scharnier_full()` and `backplate()`. There will also be one `pin()`.
I'm not requesting that any specific libraries be used, but if you think something would be easier with a library feel free to use it.

Can you generate the parametric OpenSCAD file(s) to do this? Thanks!

[Assistant]
scharnier_thingiverse.scad:
```
//scharnier / hinge

//change this to either get a left or right mounted version
left_or_right_mount="left"; // [left:left_mount, right:right_mount]

//thickness of the hinge
scharnier_dicke=3;

//number of backplates to print
backplates=2; // [0, 1, 2 ]

//height of the hinge
hinge_height=40;

//length of the hinge
hinge_length=50;

//normally good enough to directly screw-in a machined 3mm screw
radius_screw_backplate=1.5;

//radius used by the hinge - either identical to radius_screw_backplate or slightly larger
radius_screw_hinge=1.7;

//the radius of the PIN to fix both halfes of the hinge. gets inserted into the "coupler"
pin_radius=2.2;

//increase this value to make a strong coupler
coupler_strength=2;

//distance from the fixating_holes to the edge
fixing_holes_distance_edge=10;
//change if you need more or less holes
fixing_holes_amount_vertical=3;
//change if you need more or less holes
fixing_holes_amount_horizontal=3;

//increase this value, if the PIN needs more air to fit into the hinge
pin_airgap=0.6;

scharnier_radius_innen=pin_radius+pin_airgap;
scharnier_radius_aussen=scharnier_radius_innen+coupler_strength;
pin_head_radius=scharnier_radius_aussen;

//In case the hinge needs more space left/right to turn more easily - increase it
extra_space_outer_diameter=0.7;

extra_space_scharnier_radius_aussen=scharnier_radius_aussen+extra_space_outer_diameter;

//the height of the PIN's head
pin_head_height=2;

//how many couplers to combine both parts
couplers_amount=3;

//increase this in case the hinge does not turn easy
couplers_air_between=0.15;

coupler_length=hinge_height/(2*couplers_amount)-couplers_air_between;

module pin () {
cylinder (r=pin_radius, h=hinge_height, $fn=30);
difference () {
    translate ([0,0,-pin_head_height]) cylinder (r=pin_head_radius,h=pin_head_height, $fn=20);
    translate ([-pin_head_radius,pin_radius,-pin_head_height]) cube ([pin_head_radius*2,pin_head_radius*2,pin_head_radius*2]);
}

}

module fixating_holes (radius) {
distance_vertical=(hinge_height-2*fixing_holes_distance_edge)/(fixing_holes_amount_vertical-1);
distance_horizontal=(hinge_length-2*fixing_holes_distance_edge)/(fixing_holes_amount_horizontal-1);
echo ("distance_horizontal", distance_horizontal);

//vertical
for (v=[0:1:fixing_holes_amount_vertical-1])
//horizontal
for (h=[0:1:fixing_holes_amount_horizontal-1]) {
    translate ([fixing_holes_distance_edge+v*distance_vertical,fixing_holes_distance_edge+h*distance_horizontal,0])
        cylinder (r=radius, h=2*scharnier_dicke,$fn=30);
       }
}

module backplate (radius_screw) {
difference () {
    cube ([hinge_height,hinge_length,scharnier_dicke]);
    fixating_holes (radius_screw);
    }
}

module hohl_achse (mount,radius) {
    if (mount=="left") {
    for (a=[0:2:couplers_amount*2-1])
        translate ([a*(coupler_length+couplers_air_between),0,0]) rotate ([0,90,0]) difference () {
        cylinder (r=radius, h=coupler_length, $fn=30);
        cylinder (r=scharnier_radius_innen, h=coupler_length, $fn=30);
        }
    }
    else {
        for (a=[0:2:couplers_amount*2-1])
        translate ([(a+1)*(coupler_length+couplers_air_between)+couplers_air_between,0,0]) rotate ([0,90,0]) difference () {
        cylinder (r=radius, h=coupler_length, $fn=30);
        cylinder (r=scharnier_radius_innen, h=coupler_length, $fn=30);
        }
    }
}

module extra_space_hohl_achse (mount,radius) {
    hoehe=2*coupler_length+2*couplers_air_between;
    if (mount=="right") {
    echo ("extra -space right");
    for (a=[0:1:couplers_amount-1])
        translate ([a*hoehe,0,0])
            rotate ([0,90,0]) cylinder (r=radius, h=coupler_length+2*couplers_air_between, $fn=30);

    }
    else {
        echo ("leeeeft");
        for (a=[0:1:couplers_amount-1])
        translate ([a*hoehe+coupler_length,0,0])
            rotate ([0,90,0])
                cylinder (r=radius, h=coupler_length+2*couplers_air_between, $fn=30);

    }
}

module hinge () {
    difference () {
         translate ([0,0,-scharnier_radius_aussen])
            backplate (radius_screw_hinge);
        //rotate ([0,90,0]) cylinder (r=scharnier_radius_aussen, h=hinge_length, $fn=30);
        //extra space fuers scharnier
        extra_space_hohl_achse (left_or_right_mount,extra_space_scharnier_radius_aussen);

    }
    //extra_space_hohl_achse (left_or_right_mount,extra_space_scharnier_radius_aussen);
}

module scharnier_full () {
         hinge ();
         rotate ([0,0,0]) hohl_achse (left_or_right_mount,scharnier_radius_aussen);
            }

translate ([-5,hinge_length+scharnier_radius_aussen+5,-scharnier_dicke]) rotate ([-90,0,-90]) pin ();
scharnier_full ();
translate ([hinge_height,-2*scharnier_radius_aussen-5,0]) rotate ([0,0,180]) scharnier_full ();

for (b=[0:1:backplates-1])
    translate ([hinge_height+5,-b*(hinge_length+5),-scharnier_radius_aussen]) backplate (radius_screw_backplate);

```


[User]
Hey, I'm looking to get some parametric OpenSCAD files designed for printer feet, kinda like what I already have but maybe a bit more versatile. I've got a pretty good handle on the basics of OpenSCAD but I'd prefer if I didn't have to start completely from scratch.

I've already made something myself which I'm attaching here as `Printer_Foot_v1.1.scad` (though please don't base your design on it too closely unless it's necessary, I'm hoping for something cleaner). I've also included the documentation in the code comments for reference, so you know what the parameters do.

Basically, I'd like a parametric design that can create feet with these general features:

*   **Basic Shapes:** I need the ability to choose between a few base shapes: a square, a cross (two perpendicular squares), a diamond, a "diamond & cross" (diamond with a perpendicular square in the middle) and a sphere.
*   **Dimensions:** The overall dimensions of the foot should be customizable – I'm thinking of the x, y, and z dimensions, like width, depth and height. The overall foot height should also have the option of adding extra height on the top in the form of a flat surface cutout (like a small shelf).
*   **Screw Hole:** It needs to have a screw hole for mounting, with customizable diameter for the screw itself, a head diameter and the length of the screw hole section inside the foot. The design should also support an optional, additional spherical cutout near the screw hole opening. This cutout should have a customizable diameter
*   **Tip Scaling:** The shape should be configurable with a "tip scale" that controls the edge shape. For example, if the base is a square, the "tip scale" would specify a percentage to make the top edges "flat", rather than pointed - if that makes sense - like truncating the edges.  This should have separate x and y scale values for flexibility. For the sphere mode, this could define a percentage of the sphere to use - where 0 would be a completely sharp point and 1 would be a full sphere.
*   **Fillets/Rounding:**  There should be a parameter to toggle between rounded edges and sharp edges (filleted vs non-filleted).
*  **Resolution:** A parameter to control the resolution for the overall shape and another separate parameter to control resolution of slices along the height.

I would like this to be implemented as a single file, or if necessary, a small collection of files. I'm fine with standard OpenSCAD libraries (like `MCAD`), but I don't want you to use any other custom libraries if you don't need to.

Thanks a lot, I'm looking forward to see what you come up with!

[Assistant]
Printer_Foot_v1.1.scad:
```
/* == Customizer Settings ================================================ */
/*[Basics]*/

// select the basic shape
mode = "Diamond & Cross"; // [Square,Cross,Diamond,Diamond & Cross,Sphere]

// in mm, foot upper dimensions and height [x,y,z] (x/y width and height)
foot_dimensions = [40, 25, 20];

// in mm, screw hole dimensions [d_screw, d_head, d_length]
screw_dimensions = [5.5,10,7.5];

resolution = 50; // [30:Draft, 50:Normal, 80:Smooth]

// Slice details, ignored in sphere mode.
resolution_slices = 25; // [10:Draft, 25:Normal, 50:Smooth]

/*[Details]*/

// scale % of the foot tip where 0 is a sharp edge and 1 are the upper dimensions (streight form), in case of Sphere mode percentage of shere intersection (0.5 = midsection, 1 = full sphere).
foot_scale = 0.4;

// scale [x,y]% of the foot tips, y value only effective in some modes, ignored in sphere mode
foot_scale_tip = [.2, .6];

// true for a more rounded shape, false for sharp edges, ignored in sphere mode
fillets_p = "yes"; // [yes,no]

// in mm, adds an additional spheric cutout to the top of the screw hole (e.g. d_head for a cleaner opening if top surface is very narrow), set to 0 for no cutout.
cutout_diameter = 0;

// in mm, shave off foot flat at the top (added to hight)
cutout_height = 0;

// initialize constants based on parameters
$fn=resolution;
mode_diamond = mode == "Diamond" || mode == "Diamond & Cross";
mode_cross = mode == "Cross" || mode == "Diamond & Cross";
mode_sphere = mode == "Sphere";
fillets = fillets_p == "yes";
foot_dim = [foot_dimensions[0],foot_dimensions[1],
            foot_dimensions[2]+cutout_height];

/* == Draw Foot  =========================================== */
// draw foot
if (mode_sphere) {
    foot_sphere(foot_dim, foot_scale,
                screw_dim=screw_dimensions, cutout_d=cutout_diameter);
} else {
    foot_rect(foot_dim, foot_scale, screw_dimensions, mode_diamond,
              mode_cross, fillets, foot_scale_tip, cutout_diameter,
              resolution_slices);
}

/* == Foot Modlues ======================================================= */
/* Spherical foot
 * d - diameter
 */
module foot_sphere(dim, sp, screw_dim=[0,0], cutout_d=0) {
    d = dim[2] * 2;
    x = dim[0];
    h = dim[2];
    y = dim[1];
    difference() {
        resize([x,y,0]) SphereHalf(d=d, h=h, sp=sp);
        translate(-[dim[0]/2,0,0]) screw_hole(dim, screw_dim, cutout_d);
        if (cutout_height > 0) {
            translate(-[dim[0]/2,dim[1]/2,-dim[2]+cutout_height])
                cube([dim[0]+1, dim[1]+1, dim[2]]);
        }
    }
}

/* Rectangular foot
 * dim - base dimensions [x,y,h]
 * scale - 0 for a sharp edge, increase for a flat surface
 * screw_dim - screw hole dimensions [d_screw, d_head, length]
 * mode - 0 = diamond, 1 = square, 2 = narrow diamond
 * fillets - frue for a more rounded shape, false for sharp edges
 * tip_scale - fillet size factor (%), only used if fillets = true
 * cutout_d - diameter for additional cutout near screhole opening (optional, 0 for none)
 */
module foot_rect(dim, scale=0, screw_dim=[0,0], mode_diamond=false,
                 mode_cross=false, fillets=false, tip_scale=[0.25, 0.25],
                 cutout_d=0, res_slices=25) {
    difference() {
        base(dim, scale, mode_diamond, mode_cross, fillets, tip_scale,
             res_slices);
        screw_hole(dim, screw_dim, cutout_d);
        if (cutout_height > 0) {
            translate(-[0.5,dim[1]/2+0.5,-dim[2]+cutout_height])
                cube([dim[0]+1, dim[1]+1, dim[2]-cutout_height]);
        }
    }
}

module screw_hole(dim, screw_dim, cutout_d) {
    translate([dim[0]/2,0]) {
        // screw head
        cylinder(d=screw_dim[0], h=dim[2]);
        // screw hole
        translate([0,0,screw_dim[2]]) cylinder(d=screw_dim[1], h=dim[2]);
        // cutout
        if (cutout_d > 0) {
            hull() {
                for (p = [[0,dim[1]/2,dim[2]], [0,-dim[1]/2,dim[2]]]) {
                   translate(p) sphere(d=cutout_d);
                }
            }
        }
    }
}

/* half base model
 * dim - base dimensions [x,y,h]
 * scale - 0 for a sharp surface edge, increase for a flat surface
 * mode_diamond - true for diamond base shape, false for square
 * fillets - use fillets?
 * tip_scale - [x,y] tip scale
 */
module base_half(dim, scale=0, mode_diamond=false, fillets=false, tip_scale=[0.25, 0.25], res_slices=25) {
    linear_extrude(height=dim[2], scale=[1,scale], slices=res_slices, twist=0) {
        if (fillets) {
            hull() {
                if (mode_diamond) {
                    diameter = [dim[0] * tip_scale[0], dim[1] * tip_scale[1]];
                    translate([diameter[0]/2,0]) circle(d=diameter[0]);
                    translate([dim[0]/2,dim[1]/2-diameter[1]/2]) circle(d=diameter[1]);
                    translate([dim[0]/2,-dim[1]/2+diameter[1]/2]) circle(d=diameter[1]);
                } else { // symmetric square shaped (trapezium)
                    diameter = min(dim[0], dim[1]) * tip_scale[0];
                    translate([diameter/2,dim[1]/2-diameter/2]) circle(d=diameter);
                    translate([diameter/2,-dim[1]/2+diameter/2]) circle(d=diameter);
                }
            }
        } else {
            if (mode_diamond) {
                polygon(points=[[0, dim[1]*min(tip_scale[1],1)],
                                [dim[0]*(1-min(tip_scale[0],1)),dim[1]],
                                [dim[0],dim[1]],
                                [dim[0],-dim[1]],
                                [dim[0]*(1-min(tip_scale[0],1)),-dim[1]],
                                [0, -dim[1]*min(tip_scale[1],1)]]/2);
            } else {
                polygon(points=[[0,dim[1]],[dim[0],dim[1]],[dim[0],-dim[1]],[0,-dim[1]]]/2);
            }
        }
    }
}

module base(base_dim, scale=0, mode_diamond=false, mode_cross=false, fillets=false, tip_scale=[0.25, 0.25]) {
    module bhalf(bdim, xy_swap=false) {
        dim = [xy_swap ? bdim[1] : bdim[0],
               xy_swap ? bdim[0] : bdim[1],
               bdim[2]];
        tscale = [min(max(xy_swap ? tip_scale[1] : tip_scale[0], fillets ? 0.01 : 0), 1),
                  min(max(xy_swap ? tip_scale[0] : tip_scale[1], fillets ? 0.01 : 0), 1)];
        base_half(dim, scale, mode_diamond, fillets, tscale);
    }
    module bfull(dim, xy_swap=false) {
        if (mode_diamond) {
            union() {
                bhalf(dim, xy_swap);
                    translate([xy_swap ? dim[1] : dim[0],0])
                        mirror([1,0,0]) bhalf(dim, xy_swap);
            }
        } else {
            hull() {
                bhalf(dim, xy_swap);
                    translate([xy_swap ? dim[1] : dim[0],0])
                        mirror([1,0,0]) bhalf(dim, xy_swap);
            }
        }
    }
    union() {
        bfull(base_dim);
        if (mode_cross) {
            translate([base_dim[0]/2,0-base_dim[1]/2,0]) {
                rotate(90) bfull(base_dim, true);
            }
        }
    }
}

/* == Basic Modules ====================================================== */
/* top half of a sphere, optionally stretched
 * d - sphere's diameter
 * h - height (vertical stretch), optional, default: radius
 * sp - split percentage, default: 0.5 (intersection ad midpoint)
 */
module SphereHalf(d, h, sp=0.5) {
    h2 = h == undef ? d : h*2/sp/2;
    translate(-[0,0,h2/2-h2*sp]) difference() {
        resize(newsize=[0,0,h2]) sphere(d=d);
        translate(-[0,0,h2*sp]) cube([d,d,h2], center=true);
    }
}

```


[User]
I need a parametric design for a small enclosure, intended to be 3D printed. It should consist of two parts: a bottom and a top, that snap together. I'd like to be able to adjust the inner dimensions (length, width, and height) and the wall thickness via parameters.

The snap-in mechanism should use a triangular profile, as in the linked file (`Kleingehaeuse.scad`), and should be located along the length of the case. There should be four sets of these snap-in mechanisms (two on each side). The case itself should have rounded edges/corners. I'd like to avoid using the `hull()` function for the rounded corners, as this can sometimes be problematic.

The design should be created using OpenSCAD and should be easily customizable using the Customizer. I would prefer the snap-in mechanism to be created from a separate module that can be called in top and bottom modules. Please, make sure each part of enclosure has a module.

[Assistant]
Kleingehaeuse.scad:
```
// -----------------------------------------------------
// Kleingehaeuse
//
//  Detlev Ahlgrimm, 11.2018
// -----------------------------------------------------

inner_length=82;
inner_width=24;   // muss mind. um wt groesser sein als auf voller Hoehe benoetigt
inner_height=16;

// inner_length=30;
// inner_width=16;
// inner_height=10;

// wall thickness
wt=1.6;

/* [Hidden] */
$fn=100;
ws=max(5, inner_length/10);

// -----------------------------------------------------
//  wie cube() - nur abgerundet
// -----------------------------------------------------
module BoxAbgerundet(v, r=2) {
  hull() {
    translate([    r,     r,     r]) sphere(r=r);
    translate([v.x-r,     r,     r]) sphere(r=r);
    translate([    r, v.y-r,     r]) sphere(r=r);
    translate([v.x-r, v.y-r,     r]) sphere(r=r);

    translate([    r,     r, v.z-r]) sphere(r=r);
    translate([v.x-r,     r, v.z-r]) sphere(r=r);
    translate([    r, v.y-r, v.z-r]) sphere(r=r);
    translate([v.x-r, v.y-r, v.z-r]) sphere(r=r);
  }
}

// -----------------------------------------------------
//
// -----------------------------------------------------
module SnapIn_M(v) {
  cube(v);
  translate([0, 0, v.z-wt])
  rotate([0, 90, 0]) linear_extrude(v.x) polygon([[0,0], [-wt/2,-wt/2], [-wt,0]]);
}
//!SnapIn_M([inner_length/10-2, wt, inner_height]);

// -----------------------------------------------------
//
// -----------------------------------------------------
module Oberteil() {
  difference() {
    BoxAbgerundet([inner_length+2*wt, inner_width+2*wt, inner_height+2*wt]);
    translate([wt, wt, wt]) cube([inner_length, inner_width, inner_height+2*wt]);
    translate([-0.1, -0.1, wt+inner_height/2]) cube([inner_length+2*wt+0.2, inner_width+2*wt+0.2, inner_height]);
    translate([wt+ws,                wt/2,               inner_height+wt]) mirror([0, 0, 1])                   SnapIn_M([ws, wt, inner_height/2+3]);
    translate([wt+ws,                inner_width+wt*1.5, inner_height+wt]) mirror([0, 1, 0]) mirror([0, 0, 1]) SnapIn_M([ws, wt, inner_height/2+3]);
    translate([wt+inner_length-2*ws, wt/2,               inner_height+wt]) mirror([0, 0, 1])                   SnapIn_M([ws, wt, inner_height/2+3]);
    translate([wt+inner_length-2*ws, inner_width+wt*1.5, inner_height+wt]) mirror([0, 1, 0]) mirror([0, 0, 1]) SnapIn_M([ws, wt, inner_height/2+3]);
  }
}

// -----------------------------------------------------
//
// -----------------------------------------------------
module Unterteil() {
  difference() {
    BoxAbgerundet([inner_length+2*wt, inner_width+2*wt, inner_height+2*wt]);
    translate([wt, wt, wt]) cube([inner_length, inner_width, inner_height+2*wt]);
    translate([-0.1, -0.1, wt+inner_height/2]) cube([inner_length+2*wt+0.2, inner_width+2*wt+0.2, inner_height]);
  }
  translate([wt+ws+0.5,                wt/2,               wt])                   SnapIn_M([ws-1, wt, inner_height/2+3]);
  translate([wt+ws+0.5,                wt*1.5+inner_width, wt]) mirror([0, 1, 0]) SnapIn_M([ws-1, wt, inner_height/2+3]);
  translate([wt+inner_length-2*ws-0.5, wt/2,               wt])                   SnapIn_M([ws-1, wt, inner_height/2+3]);
  translate([wt+inner_length-2*ws-0.5, wt*1.5+inner_width, wt]) mirror([0, 1, 0]) SnapIn_M([ws-1, wt, inner_height/2+3]);
}

/*
difference() {
  Unterteil();
  translate([-0.1, 2*wt, wt+inner_height/2-0.8]) cube([3*wt+inner_length, inner_width-2*wt, 2*wt]);
}
translate([0, inner_width+3*wt, 0]) difference() {
  Oberteil();
  translate([wt+(inner_length-8)/2, wt+(inner_width-12)/2, -0.1]) cube([8, 12, wt+0.2]);
}
*/

Unterteil();
translate([0, inner_width+3*wt, 0]) Oberteil();

```


[User]
Hey, I'm looking to get a parametric monitor stand designed in OpenSCAD. I've got some basic requirements and some inspiration from a design I found online. I'd like the design to be flexible, so I can easily adjust the dimensions.

Here's the general idea: It's a stand with a platform for the monitor to sit on, supported by two angled legs. The platform will be a simple rectangular shape. The legs should rise from the base up to support this platform, angled inwards slightly, and should have a flat, wide base for stability. I'd like the design to be able to have the option of either sharp or rounded corners, and would need to be able to control the radii of the rounded corners.

I've got some specific parameters in mind, like:

*   **`height`**: The overall height of the top edge of the monitor board (platform), adjustable within 50-150 mm.
*   **`board_width`**: The width of the monitor board, also the depth of the stand, ranging from 150-300 mm.
*   **`extrusion_height`**: The height of the printed part (excluding the top of the board) between 20 and 30 mm
*   **`board_height`**: The thickness of the wooden board, from 7-20 mm (with 0.1mm increments allowed, please).
*   **`wall_below_board`**: The thickness of the support wall below the board, between 4-20 mm.
*   **`foot_width`**: The width of the flat base of the legs, ranging from 6-50 mm.
*   **`walls`**:  The main wall thickness of the structure, between 3-6 mm.
*   **`top_wall`**: The wall thickness on the top of the structure (above the platform), between 0-6 mm.
*   **`screw_diameter`**: The diameter of the screw holes, 1-5 mm (with 0.1mm increments allowed, please).
*   **`screw_head_height`**: The height of the screw head (for countersinking) between 1-3 mm (with 0.1mm increments allowed, please).
*   **`rounded_corners`**: A yes/no option, if yes, two parameters for corner radius are active
    *   **`corner_radius_obtuse`**: Radius of obtuse (outside) corners between 1 and 30 mm, if rounding is enabled.
    *   **`corner_radius_sharp`**: Radius of sharp (inside) corners between 1 and 6 mm, if rounding is enabled.

I'd like the design to have screw holes for attaching the board. I'm thinking three screw holes should be enough, arranged horizontally. It would also be good if the screw holes were designed for a countersunk head, and that there was room for the screw head and nut.

I don't need any bevels or fancy curves outside of the corner rounding at this stage. Can you generate the necessary OpenSCAD files for this design? I'm not using any particular libraries, so a base openSCAD file would work.

[Assistant]
monitor_stand_1.1.3.scad:
```
/*
* written 2018-11-20 by till busch <buti@bux.at>
* version 1.1.3, 2018-11-22
*/

// top edge of board [mm]
height              = 100;    // [50:150]
// width of board, depth of finished stand [mm]
board_width         = 200;    // [150:300]
// height of the printed element [mm]
extrusion_height    =  30;    // [20:30]
// thickness of wooden board, mm
board_height        =   8.3;  // [7:0.1:20]
// thickness of wall below board, for stability and to allow for too long screws [mm]
wall_below_board    =  12;    // [4:20]
// preferred shape of foot [mm]
foot_width          =  12;    // [6:50]
// wall thickness, for stability [mm]
walls               =   4;    // [3:6]
// top wall can be thinner [mm]
top_wall            =   2;    // [0:6]
// hole diameter for screws [mm]
screw_diameter      =   3.3;  // [1:0.1:5]
// height of countersunk head [mm]
screw_head_height   =   2;    // [1:0.1:3]

// thingiverse customizer does not support booleans yet
// enable rounded corners
rounded_corners     = "no";  // [no,yes]
/* [Rounded Corners] */
corner_radius_obtuse = 10;    // [1:30]
corner_radius_sharp  =  3;    // [1:6]

top_width = board_width+2*walls;
bottom_width = top_width;

module main_shape() {
    // calculate x of last point from cutout
    x1 = -bottom_width/2+foot_width;
    y1 = 0;
    x2 = -top_width/4;
    y2 = height-board_height-wall_below_board;
    m = (y2-y1)/(x2-x1);
    yt = (height-board_height-wall_below_board+walls);
    x = ((yt-y1)/m)+x1;
    points_cut = [
        [-top_width/2, height-board_height-wall_below_board+walls],
        [-bottom_width/2, 0],
        [-bottom_width/2+foot_width, 0],
        [x, height-board_height-wall_below_board+walls],
    ];
    points = [
        [-bottom_width/2, 0],
        [-bottom_width/2+foot_width, 0],
        [-top_width/4, height-board_height-wall_below_board],

        [top_width/4, height-board_height-wall_below_board],
        [bottom_width/2-foot_width, 0],
        [bottom_width/2, 0],

        [top_width/2, height+top_wall],
        [-top_width/2, height+top_wall]
    ];

    if(rounded_corners == "yes") {
        r2 = corner_radius_obtuse;
        r1 = corner_radius_sharp;
        $fs = 0.1;
        $fn = 48;
        difference() {
            offset(r = -r2) offset(r=r2) offset(r = 3) offset(r=-3)
                polygon(points = points);
            offset(r = r1) offset(r=-r1) offset(r = -walls)
                polygon(points = points_cut);
            mirror([1, 0, 0]) offset(r = r1) offset(r=-r1) offset(r = -walls)
                polygon(points = points_cut);
        }
    } else {
        difference() {
            polygon(points = points);
            offset(r = -walls) polygon(points = points_cut);
            mirror([1, 0, 0]) offset(r = -walls) polygon(points = points_cut);
        }
    }
}

module screw_hole() {
    union() {
        rotate([-90, 0, 0]) cylinder(h=wall_below_board*1.2, d=screw_diameter);
        rotate([-90, 0, 0]) cylinder(h=screw_head_height, d1=screw_diameter*2, d2=screw_diameter);
        rotate([90, 0, 0]) cylinder(h=5, d=screw_diameter*2);
    }
}

difference() {
    /*
    // "bevel"
    union() {
        linear_extrude(height=0.2) offset(r=-0.5) main_shape();
        translate([0, 0, 0.2])
            linear_extrude(height=0.2) offset(r=-0.25) main_shape();

        translate([0, 0, extrusion_height-0.2])
            linear_extrude(height=0.2) offset(r=-0.5) main_shape();
        translate([0, 0, extrusion_height-0.4])
            linear_extrude(height=0.2) offset(r=-0.25) main_shape();

        translate([0, 0, 0.4])
            linear_extrude(height=extrusion_height-0.8) {
                main_shape();
    }
    */
    linear_extrude(height=extrusion_height-0.8) {
        main_shape();
    }
    // board
    translate([-top_width/2+walls, height-board_height, walls]) {
        cube(size=[board_width, board_height, extrusion_height]);
    }
    // screw holes
    sy = height-board_height-wall_below_board-0.1;
    sz = extrusion_height/2 + walls;
    translate([-top_width/5, sy, sz]) screw_hole($fs=0.2);
    translate([0, sy, sz]) screw_hole($fs=0.2);
    translate([top_width/5, sy, sz]) screw_hole($fs=0.2);
}

```


[User]
I'd like to create a customizable stand for Oral-B toothbrushes, something that can hold a variable number of brushes. I've got an existing design I can share for reference, but I'd like a fresh implementation that's a little more modular. I want the number of slots, the distance between them, the overall depth of the stand, and the height to all be parametric and adjustable via variables. The wall thickness should also be adjustable.

The base should be somewhat rounded, like a capsule, and have a hexagonal pattern cut into it. It would be great if there was an option to invert the hexagonal pattern, so instead of having cutouts, the hexagonal shapes would actually protrude. The brush holders themselves should be cylinders, angled slightly, with a small cutout on each to show the color band on the brush.  There should also be small cylindrical feet at the corners, maybe two on each end, for stability. Finally, I'd like the stand to be rotated by 45 degrees if the length plus the height exceeds a certain value, maybe 180, so it fits on a typical print bed.

I'd like all of this to be implemented in OpenSCAD, ideally with a single file for the main module. I'm not familiar with any specific libraries so I don't need to specify them, I'm just looking for the core functionality.

[Assistant]
Oral-B_Zahnbuersten-Staender.scad:
```
// -----------------------------------------------------
// Oral-B Zahnbuersten-Staender
//
//  Detlev Ahlgrimm, 11.2018
// -----------------------------------------------------

// number of slots
slots=4;      // [2:6]
// distance between slots
distance=30;  // [20:50]
//
depth=25;     // [20:40]
height=40;    // [20:60]

// wall thickness
wt=1.6;     // [0.4:0.05:3]

/* [Hidden] */
$fn=100;
lro=7;                            // Loch-Radius oben
li=(slots-1)*distance+2*lro;      // Laenge innen ohne die Radien

// -----------------------------------------------------
//    v : Abmessungs-Vektor
//    r : Radius der Aussparungen
//    w : Wandstaerke zwischen den Aussparungen
//    i : invertieren (true:Sechseck-Umrandungen, false:Sechsecke)
//    a : anschraegen 45 Grad (bei true)
// -----------------------------------------------------
module HexPatternV2(v, r=10, w=1, i=true, a=false) {
  dx=r*1.5;
  dy=r*0.866025;      // 0.866025=sqrt(3)/2
  sy=(i) ? -0.1 : 0;
  az=(i) ? 0.2 : 0;
  r1=(a) ? r-w/2-(v.z+0.2) : r-w/2;

  intersection() {
    difference() {
      if(i) cube(v);
      for(yi=[0:1:v.y/dy+1]) {
        for(xi=[0:1:v.x/(2*dx)+1]) {
          if((yi%2)==1) {
            translate([xi*2*dx+dx, yi*dy, sy]) cylinder(r1=r1, r2=r-w/2, h=v.z+az, $fn=6);
          } else {
            translate([xi*2*dx, yi*dy, sy]) cylinder(r1=r1, r2=r-w/2, h=v.z+az, $fn=6);
          }
        }
      }
    }
    if(!i) cube(v);
  }
}

// -----------------------------------------------------
//
// -----------------------------------------------------
module Base(r=20, h=30) {
  difference() {
    hull() {
      cylinder(r=r, h=h);
      translate([li, 0, 0]) cylinder(r=r, h=h);
    }
    translate([0, 0, -0.1]) hull() {
      cylinder(r=r-wt, h=h+0.2);
      translate([li, 0, 0]) cylinder(r=r-wt, h=h+0.2);
    }
  }
  intersection() {
    translate([-r, -r, 0]) HexPatternV2([li+2*r, r*2, wt], r=8, w=wt);
    hull() {
      cylinder(r=r, h=h);
      translate([li, 0, 0]) cylinder(r=r, h=h);
    }
  }
}

// -----------------------------------------------------
//
// -----------------------------------------------------
module Staender(r=20, h=30) {
  difference() {
    union() {
      Base(r, h);
      for(i=[0:slots-1]) {
        difference() {    // die Sockel
          translate([lro+i*distance, -r+wt, h/2]) rotate([-90, 0, 0]) cylinder(r1=10, r2=7.5, 3);
          translate([lro+i*distance, -r+wt, h/2]) rotate([-90, 0, 0]) cylinder(r=7, 3.1);
          // Aussparung, um den Farbring erkennen zu koennen
          translate([lro+i*distance, -r+wt+3.1, h/2]) rotate([90, 0, 0]) linear_extrude(3.1) polygon([[-2,0], [2,0], [5,11], [-5,11]]);
          translate([lro+i*distance, -r+wt+3.1, h/2]) rotate([90, 180, 0]) linear_extrude(3.1) polygon([[-2,0], [2,0], [5,11], [-5,11]]);
        }
      }
    }
    for(i=[0:slots-1]) {  // die Loecher
      translate([lro+i*distance, r-wt-0.1, h/2]) rotate([-90, 0, 0]) cylinder(r=lro, wt+0.2);
      translate([lro+i*distance,   r-wt/2, h/2]) rotate([-90, 0, 0]) cylinder(r1=lro, r2=lro+1, wt/2+0.1);
      translate([lro+i*distance,   -r-0.1, h/2]) rotate([-90, 0, 0]) cylinder(r=3, wt+0.2);
      translate([lro+i*distance,  -r+wt/2, h/2]) rotate([-90, 0, 0]) cylinder(r1=3, r2=4, wt/2+0.1);
    }
  }
  // die Fuesse
  translate([   4, -r-2,   5]) rotate([-90, 0, 0]) cylinder(r1=2, r2=4, h=2);
  translate([   4, -r-2, h-5]) rotate([-90, 0, 0]) cylinder(r1=2, r2=4, h=2);
  translate([li-4, -r-2,   5]) rotate([-90, 0, 0]) cylinder(r1=2, r2=4, h=2);
  translate([li-4, -r-2, h-5]) rotate([-90, 0, 0]) cylinder(r1=2, r2=4, h=2);
}

if(li+height>180) {
  rotate([0, 0, -45]) translate([-li/2, 0, 0]) Staender(r=height/2, h=depth);
} else {
  Staender(r=height/2, h=depth);
}

```


[User]
I'd like to design a customizable organizer for my Dupont wires. I've seen a few designs that use a comb and bridge system, and I'm hoping to create something similar.

Essentially, I need a system that consists of two main parts: a comb and a bridge. The comb will have teeth that the wires sit between, and the bridges will connect the combs, keeping the cables organized. I will need to create these parts separately and then assemble them. I also want to be able to print just the comb or bridge separately if needed.

Here's a breakdown of what I'm envisioning:

**Comb:**

*   It should have a base and teeth. The teeth will have a sharp edge at the top and include a small bump or protrusion towards the base for additional friction.
*   I need to control the thickness of the comb, the width of the base, the length and width of the teeth, the length of the sharp edge, the spacing between teeth, the length of the tooth bump, and the thickness of that bump.
*   I want to group the teeth, and have spacing between each of these groups.
*   The number of teeth per group, the spacing between each group, and the number of groups needs to be customizable. I'd like to calculate the overall length based on these values, but also specify the length manually.
* I'd also like to be able to generate multiple combs based on this.

**Bridge:**

*   The bridge will be a simple bar with a cutout or dent on each end that will allow it to slot into the comb.
*   I need to be able to control the thickness and width of the bridge, the offset of the dent from the end of the bridge, the width and length of the dent, the length of the bridge, and the length of a hole that runs through it. I should be able to set a corner radius for the bridge hole.
* I need to be able to create multiple bridges using the same parameters.

**Overall Assembly/Build Plate:**

*   I need a way to assemble the combs and bridges, and also to see them aligned on a plate with multiple copies of each.
*   I want to control the cable length (this determines the bridge length) and the number of cable slots per group (which affects the comb teeth).
*   I should be able to choose to output just the comb, the bridge, an organized plate with multiple combs and bridges, or the assembled parts.
*   The system should use the `MCAD/units.scad` library for units, specifically using millimeters.

Essentially, I'd like to have a parametric design that allows me to specify all these parameters to create an organizer that fits my specific wire lengths and number of cables. Let me know what you can do for me!

[Assistant]
dupont-organizer.scad:
```
include <MCAD/units.scad>

/* [Global] */
part = "plate"; // [comb:Comb Only,bridge:Bridge Only,plate:Build Plate,assembly:Assembled Parts]

// Length of the cables, excluding header connectors (mm)
cableLength = 156;
// Number of cable slots per group (1 slot =~ 4 cables)
cablesPerGroup = 10;
// Number of cable groups
numGroups = 2;

/* [Comb] */

combThickness = 4;
combBaseWidth = 7;
combToothLength = 17;
combToothWidth = 1.2;
combSharpLength = 1.1;
combToothSpacing = 2.2;
combGroupSpacing = 4;
toothBumpLength = 6.4;
toothBumpThickness = 0.7;
teethPerGroup = cablesPerGroup + 1;

/* [Bridge] */

bridgeThickness = 4;
bridgeWidth = 12;
bridgeDentOffset = 5;
bridgeDentWidth = combBaseWidth;
bridgeDentLength = combThickness;
bridgeHoleLength = 20;
bridgeHoleCornerRadius = 2;
bridgeLength = cableLength + bridgeDentOffset * 2;

/* [Hidden] */

combGroupWidth = teethPerGroup * (combToothWidth + combToothSpacing) - combToothSpacing;
combLength = combGroupWidth * numGroups + combGroupSpacing * (numGroups + 1) + combToothWidth * 2;

$fn = 60;

module CombTooth() {
    linear_extrude(combThickness)
    polygon([
        [0, 0],
        [0, combToothLength],
        [combToothWidth / 2, combToothLength + combSharpLength],
        [combToothWidth, combToothLength],
        [combToothWidth, 0],
    ]);

    for (x=[0, 1])
    mirror([x, 0, 0])
	// Adding `epislon` here to create a tiny overlap in part volume, so we get one solid part:
    translate([-combToothWidth * x + epsilon, 0, 0])
    translate([0, combToothLength - toothBumpLength / 2, combThickness / 2])
    rotate([-90, 0, 90])
    linear_extrude(toothBumpThickness, scale = 0.6)
    square([toothBumpLength, combThickness], center=true);
}

module CombTeethGroup() {
    for (i = [0:teethPerGroup - 1])
        translate([(combToothWidth + combToothSpacing) * i, 0, 0])
        CombTooth();
}

module DupontComb() {
    cube([combLength, combBaseWidth, combThickness]);

    translate([0, combBaseWidth, 0]) {
        CombTooth();

        translate([combGroupSpacing + combToothWidth, 0, 0])
        for (g = [0:numGroups - 1])
        translate([g * (combGroupWidth + combGroupSpacing), 0, 0])
        CombTeethGroup();

        translate([combLength - combToothWidth, 0, 0])
        CombTooth();
    }
}

module DupontBridge() {
    difference() {
        translate([-bridgeLength / 2, -bridgeWidth / 2, 0])
        cube([bridgeLength, bridgeWidth, bridgeThickness]);

        translate([-bridgeHoleLength / 2, 0, -epsilon])
        cube([bridgeHoleLength, bridgeWidth / 2 + epsilon, bridgeThickness + epsilon * 2]);

        for (x=[0, 1])
        mirror([x, 0, 0]) {
            if (bridgeHoleLength)
            translate([-bridgeHoleLength / 2 - bridgeHoleCornerRadius, bridgeWidth / 2 - bridgeHoleCornerRadius, -epsilon])
            linear_extrude(bridgeThickness + 2 * epsilon)
            difference() {
                square([bridgeHoleCornerRadius * 2, bridgeHoleCornerRadius * 2]);
                circle(r=bridgeHoleCornerRadius);
            }

            translate([bridgeLength / 2 - bridgeDentOffset - bridgeDentLength, -bridgeWidth / 2 - epsilon, -epsilon])
            cube([bridgeDentLength, bridgeDentWidth + epsilon, bridgeThickness + epsilon * 2]);
        }
    }
}

module DupontOrganizerPlate() {
    itemSpacing = 4;
    combSize = combToothLength + combBaseWidth + itemSpacing;

    translate([-combLength / 2, 0, 0]) {
        DupontComb();

        translate([0, combSize, 0])
        DupontComb();
    }

    for (g=[0:numGroups]) {
        translate([0, combSize * 2 + g * (bridgeWidth + itemSpacing) + bridgeWidth / 2, 0])
        DupontBridge();
    }
}

module DupontOrganizerAssembly() {
    rotate([90, 0, 0])
    DupontComb();

    translate([0, cableLength - combThickness, 0])
    rotate([90, 0, 0])
    DupontComb();

    color("orange")
    for (g=[0:numGroups]) {
        translate([g * (combGroupWidth + combGroupSpacing) + combToothWidth, bridgeLength / 2 - bridgeDentOffset - bridgeDentLength, bridgeWidth / 2])
        rotate([90, 0, 90])
        DupontBridge();
    }
}

if (part == "comb")
    DupontComb();

if (part == "bridge")
    DupontBridge();

if (part == "plate")
    DupontOrganizerPlate();

if (part == "assembly")
    DupontOrganizerAssembly();

```


[User]
Hey, I'd like to design a test print for evaluating 3D printer support settings. I have an existing design I've been using, but I'd like a more flexible parametric version that I can easily customize.

The basic idea is a flat base, a central vertical post, and then two horizontal support arms extending out from the top of the post. The existing one is all in one file but I think it might be better to break it into smaller parts to make it cleaner.

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

*   **Base:** A rectangular platform that sits on the build plate. I'd like to be able to set the base length and thickness. It should be centered at the origin.
*   **Post:** A square-cross-section vertical post that rises from the center of the base. I want to control the width of the post's square profile, and its total height from the base, including the base and top thicknesses.
*   **Support Arms:** Two rectangular support arms extending from the top of the post in opposite directions and horizontally. These should be attached to opposite sides of the post in the X-Y plane, rotating 90 degrees between the first and second arm. I want control of the length and thickness of these arms; they should have the same width as the post.

Could you generate the necessary parametric OpenSCAD files for me? I'd also like to be able to easily adjust all dimensions through the customizer. I'm not too picky about the precise file organization, but whatever you think makes sense to keep it clean would be great. I don't have any preference for specific libraries.

[Assistant]
support_test.scad:
```

base_length=20;
top_length=30;
post_width=8;
post_height=20;
base_thickness=1.5;
top_thickness=1.5;

// Base
translate([-base_length/2, -base_length/2, 0]) cube([base_length, base_length, base_thickness]);

// Post
translate([-post_width/2, -post_width/2, 0]) cube([post_width, post_width, base_thickness+post_height+top_thickness]);

// Top
for (i = [0:90:90]) {
  rotate([0, 0, i])
    translate([-top_length/2, -post_width/2, base_thickness+post_height])
      cube([top_length, post_width, top_thickness]);
}

```


[User]
I'm looking to design an FPV gate for tiny whoop drones using a loop of 3D printing filament as the gate itself. I want to be able to adjust several parameters, so I need a parametric design in OpenSCAD.

Here's what I'm envisioning:

**Core Features:**

*   **Filament Gate:** The gate will be a ring made by extruding a circle (the diameter of the filament) along a circular path. I'll be using standard 1.75mm filament, but I'd like the ability to adjust the filament diameter and include a tolerance for the hole.
*   **Base:** The filament ring will be supported by a base. I'd like this base to consist of two triangular sections connected at the bottom, plus two stabilizing "feet" extending outward.
*   **Adjustable Parameters:**  I need to be able to control the following:
    *   **`gate_radius`**: The overall radius of the filament gate.
    *   **`base_ring_arc`**: The angle covered by each of the main triangular base sections.
    *   **`base_foot_arc`**: The angle at which the stabilizing feet extend outwards.
    *   **`base_foot_length`**: The length of these feet.
    *   **`filament_diameter`**: The diameter of the filament used for the gate.
    *   **`tolerance`**: The additional space around the filament hole for fit.
    *   **`base_width`**:  The width of the base triangular section
    *   **`base_foot_width`**: The width of the stabilizing feet.
    *   **`base_foot_angle`**: The angle on the outer edge of the base triangle.
    *   **`gate_height_offset`**: The height of the filament ring above the base.
    *   **`triangle_roundness`**: How round to make the triangle primitives.

**Specifics:**

*   The main triangular base sections should be mirrored so they meet at the bottom and are symmetrical.
*   The stabilizing feet should be on opposite sides of the base.
*   I'd like to use the `3dtriangle.scad` library for the rounded triangles if that's possible.
*   I'd like to be able to toggle showing a preview of the filament ring (for design purposes) and be able to hide it when generating the STL for printing.
*   I think a `difference()` between the base and the filament ring would be the best approach for assembly.

Can you generate the necessary OpenSCAD files for this design? Thanks!

[Assistant]
filament_gate.scad:
```
 use <MCAD/3d_triangle.scad>;

/* [Settings] */
// Render with preview gate ring or not. SET TO "no" FOR STL GENERATION!
preview = "yes"; // [yes, no]

// Target radius of the gate
gate_radius = 100; // [50:5:200]

// Arc covered by the base at the bottom. If your filament twists, increase to provide more stability
base_ring_arc = 50; // [10:1:80]

// Arc at which the stabilization foot is created.
base_foot_arc = 40; // [5:1:80]

// Length of the stabilization feet
base_foot_length = 50; // [0:1:150]

// Diameter of the filamet (or wire etc) used
filament_diameter = 1.75;

/* [Advanced] */
// Tolerance used for the filament diameter. The holes diameter is increased by this value
tolerance = 0.5;

// Width of the gate base
base_width = 10;

// Width of the stabilization feet
base_foot_width = 8;

// Angle on the outer side of the base
base_foot_angle = 60;

// Offset of the filament ring from the ground
gate_height_offset = 5;

// Roundness of the primitive triangles
triangle_roundness = 3;

function height_at_arc(arc) =
    let(angle = 90 - arc/2)
    gate_radius - sin(angle) * gate_radius + gate_height_offset;

function width_at_arc(arc) =
    let(angle = 90 - arc/2)
    cos(angle) * gate_radius;

difference() {
    gate_base();
    if(preview == "yes") {
        %filament_gate();
    } else {
        filament_gate();
    }
}

module gate_base() {
    gate_base_triangle();

    rotate([0,0,180])
    gate_base_triangle();

    translate([width_at_arc(base_foot_arc) + base_foot_width/2, 0, 0])
    gate_base_foot();

    translate([-width_at_arc(base_foot_arc) - base_foot_width/2, 0, 0])
    gate_base_foot();
}

module gate_base_foot() {
    vertices = [[0,0,0], [base_foot_length, 0, 0], [base_foot_length/2, height_at_arc(base_foot_arc), 0]];
    translate([-base_foot_width / 2, -base_foot_length/2, 0])
    rotate([90,0,90])
    3dtri_rnd_draw (vertices[0], vertices[1], vertices[2],base_foot_width, triangle_roundness);
}

module gate_base_triangle() {
    a = height_at_arc(base_ring_arc);
    c = width_at_arc(base_ring_arc);
    l = a / tan(base_foot_angle);

    vertices= [[0,0,0], [c + l, 0, 0], [l, a, 0]];
    translate([-c - l, base_width / 2, 0])
    rotate([90,0,0])
    3dtri_rnd_draw (vertices[0], vertices[1], vertices[2], base_width , triangle_roundness);
}

module filament_gate() {
    translate([0, -filament_diameter, gate_height_offset])
    filament_ring(filament_diameter, gate_radius);

    translate([0, filament_diameter, gate_height_offset])
    filament_ring(filament_diameter, gate_radius);
}

module filament_ring() {
    rotate([90,0,0])
    translate([0, gate_radius, 0])
    rotate_extrude(convexity=100, $fn=100)
    translate([gate_radius, 0, 0])
    circle(d=filament_diameter+tolerance, $fn=20);
}
```


[User]
Hi, I'm looking to generate some custom keys for utility cabinets, and I'd like a parametric design in OpenSCAD. I have a basic idea, but it needs to be flexible.

Essentially, the key will have three main sections: a cylindrical base, a 'shoulder' with some keying features, and a grip.

The base is a simple cylinder and its diameter and length should be parameterized. The shoulder is also generally cylindrical, and extends past the base and into the grip. It has a cutout on its end that defines the key profile, and I want this profile to be customizable.

Here's where things get a bit more complex, so let me break it down:

*   **Base:** A cylinder with a diameter and length that I can set.
*   **Shoulder:** A cylinder that connects the base to the grip; its length is also adjustable.
*   **Key Profile:** This is the cutout at the end of the shoulder. I want to be able to control the number of sides, and whether the corners are inset, making the key profile either a regular polygon or a regular polygon with inset corners.  There should be a variable for the radius of the main polygon, and also a variable to control how far the corners are inset. The depth of the cutout should also be variable.
*   **Grip:** A comfortable grip at the end, I'm not too worried about the details here - it could be a combination of cubes and cylinders, and spheres, or a similar shape. It needs to be connected to the top of the shoulder and I'd like to be able to set its size, roughly, and the overall length of the grip. I also want to include a small hole in the side of the grip which I can use to attach a keyring or something.

For the parameters, I'd like these:

*   `baseDiameter`: Diameter of the base cylinder.
*   `baseLength`: Length of the base cylinder.
*   `shoulderLength`: Length of the shoulder cylinder.
*   `profileSides`: Number of sides for the main key profile polygon.
*  `profileRadius`: The radius of the main polygon.
*   `insetRadius`: How far the corners of the polygon should be inset.
*   `profileDepth`: Depth of the key profile cutout.
*   `gripLength`: Overall length of the grip
*   `gripSize`: A general size parameter to scale the grip.

I don't need anything super precise, this is mostly for my own use.  I am using OpenSCAD, so that should be the format of your response. I would like to keep everything within a single file if possible. Thanks!

[Assistant]
parametric_trianglekey_with_corners.scad:
```
//  original drwing by dybde - 6mm
// reworked by Paxy

/*Customizer Variables*/
outerDiameter=16;//[1:0.5:50]
shoulderLength=7;//[1:0.5:50]
bladeLength=15;//[1:1:80]
pocketDepth=9;//[1:1:80]
pocketFaces=3;//[3:1:15]
pocketSegments = 10;
pocketCorners = 3;

/* [Hidden] */
$fn=150;

// SHOULDER AND BLADE
difference() {
  union() {
    translate([0,0,-bladeLength])
      cylinder(r=outerDiameter/2,h=bladeLength);
    hull() {
      cylinder(r=outerDiameter/2,h=shoulderLength);
      translate([0,0,shoulderLength+2.5]) cube([6,15,5],center=true);
      translate([0,-7.5,shoulderLength+2.5]) cylinder(r=3,h=shoulderLength/2,center=true);
      translate([0, 7.5,shoulderLength+2.5]) cylinder(r=3,h=shoulderLength/2,center=true);
    }
  }
  translate([0,0,-0.1-bladeLength]) {

// POCKET
    difference() {
      triangleSide = pocketSegments + 2*pocketCorners;
      triangleRadius = (triangleSide * sqrt(3))/3;
      pocketRadius = (pocketCorners * sqrt(3))/3;
      pocketOffset = triangleRadius - pocketRadius;
      cylinder(r=triangleRadius, h=pocketDepth, center=true, $fn=pocketFaces);
      translate([pocketOffset,0,0]) cylinder(r=pocketRadius, h=pocketDepth, center=true, $fn=pocketFaces);
      rotate([0,0,120]) translate([pocketOffset,0,0]) cylinder(r=pocketRadius, h=pocketDepth, center=true, $fn=pocketFaces);
      rotate([0,0,240]) translate([pocketOffset,0,0]) cylinder(r=pocketRadius, h=pocketDepth, center=true, $fn=pocketFaces);
    } // difference
  } // translate
} // difference

// GRIP
difference() {
	hull() {
		translate([0,0,shoulderLength+3.5]) cube([6,15,15],center=true);
		translate([0,12,shoulderLength+12.5]) cylinder(r=3,h=5,center=true);
		translate([0,12,shoulderLength+6]) sphere(r=3,center=true);
		translate([0,12,shoulderLength+15]) sphere(r=3,center=true);

		translate([0,-12,shoulderLength+12.5]) cylinder(r=3,h=5,center=true);
		translate([0,-12,shoulderLength+6]) sphere(r=3,center=true);
		translate([0,-12,shoulderLength+15]) sphere(r=3,center=true);

		translate([0,-7.5,shoulderLength+2.5]) cylinder(r=3,h=5,center=true);
		translate([0, 7.5,shoulderLength+12.5]) cylinder(r=3,h=5,center=true);
	}
	translate([-5,10,22]) rotate([0,90,0]) cylinder(r=1.5,h=10);
}

```