[User]
Okay, I'm working on a project for the e-NABLE group, and I need to design a cable lock mechanism. The current design I have, called CableLockdown.scad (attached), is functional but I'd like to explore a more robust and flexible design using OpenSCAD. I need something that can lock a cable or string when a lever is rotated. Here are the key requirements:

1.  **Multiple Locking Points:** I need the ability to generate a single base with a configurable number of independent locking latches. The latches need to rotate around a pivot point, and the rotation should clamp a cable against the base.

2.  **Parametric Design:** Every dimension should be configurable, including the radius of the lever's large end (`outerR`), the offset of the pivot point from the center of the lever (`offset`), the length of the lever (`len`), the radius of the pivot hole (`hubR`), the width of the lever (`width`), the thickness of the base walls (`thick`), clearance between the base and lever (`gap`), the clamping force adjustment(`tight`), a groove depth for line grip (I'll refer to that as `grooveDepth`), and the number of latches(`numLatches`). I also want to configure the latch angle (`angle`).

3.  **Cable Grip:** The base needs a groove or channel on its surface, aligned with the clamping action of the lever, to help grip the cable. This groove should have a configurable depth (`grooveDepth`).

4.  **Modular Output:** I should be able to output the base and latches separately for printing or testing. I also need an assembled view, with the latches in their home positions, to verify the design.

5.  **Single-piece latch:** The latch should be a single piece, as opposed to two pieces joined by a pin (as my original design does). The pivot should be a solid section of the latch, rather than a pin that is separate.

6.  **Library Usage**: I’d like the project to use the BOSL2 library, if possible, to help with parametric design, and to allow for the use of BOSL2's `roundedcube` object if it makes sense in the base design. I also use the `linear_extrude` feature often, and would need to ensure that is supported.

Can you generate the necessary OpenSCAD file(s) based on these requirements? I'm okay if you make a few files rather than one big one, if that's easier for you. Please also make sure you specify any units that are required.

[Assistant]
CableLockdown.scad:
```
// Rotating cable lock

// Radius of large end of latch
outerR = 5;
// How far off-center the pivot point is
offset = 2;
// Length of latch
len = 20;
// Radius of pivot hole
hubR = 2;
// Width of latch
width = 2;
// Thickness of side and bottom walls
thick = 3;
// Clearance between base and latch
gap=0.4;
// Tightness (positive makes latch press harder against base)
tight = 0;
// Line Radius
lR = .75;
// Number of Latches
numLatches = 1;
// Angle of latch
angle = 90; //[0:180]
// Which part to print
part=0; //[0:Assembled, 1:Base, 2:Latch]

/* [Hidden] */
$fn=32;
spacing = width+gap+thick+gap;

if (part==0) rotate([-90,0,0]) assembled();
if (part==1) rotate([-90,0,0]) bases();
if (part==2) latch();

module bases() {
	for (l = [1:numLatches]) {
		translate([0,0,l*spacing]) base();
		}
	}

//module body() {
//	h = outerR+thick+hubR+thick;
//	difference() {
//		hull() {
//			translate([-1,len,outerR+thick]) rotate([0,90,0])
//				cylinder(r=hubR+thick, h=width+2*thick+2);
//			}
//		cube([width+2*thick,2*len,h]);
//		translate([thick-gap,-1,thick]) cube([width+2*gap,2*len+2,h]);
//		pin();
//		}
//	}

module latches(angle) {
	for (l = [1:numLatches]) {
		translate([0,0,l*spacing]) latch(angle);
		}
	}

module latch(angle) {
	rotate([0,0,angle]) difference() {
		hull() {
			cylinder(r=outerR, h=width);
			translate([len,0,0]) cylinder(r=1, h=width);
			}
		translate([0,offset,-1]) cylinder(r=hubR,h=width+2);
		}
	}

module pin() {
	translate([-1,len,outerR+thick])
	rotate([0,90,0])
	cylinder(r=hubR, h=width+2*thick+2);
	}

module assembled() {
	color("blue") bases();
	color("yellow") rotate([0,0,-angle]) translate([0,-offset,thick+gap]) latches(0);
	}

module base() {
	h=outerR+offset;
	tall=width+2*(thick+gap);

	difference() {
		hull() {
			cylinder(r=hubR+thick,h=tall);
			translate([-len/2-thick/2,h,0]) cube([thick,thick,tall]);
			translate([len/2-thick/2,h,0]) cube([thick,thick,tall]);
			}
		translate([0,0,-1]) cylinder(r=hubR,h=width+2*thick+2*gap+2);
		translate([-len-1,-10-tight,thick]) cube([2*len+4,h+10,width+2*gap]);
		translate([-len-1,h-tight-.01,thick+width/2-lR/2]) cube([2*len+4,2*lR,2*lR]);
		//#translate([0,0,thick+gap+width/2]) cylinder(r=h+2*lR, h=lR);
		}
	}

```


[User]
I'd like to design some vases based on a star pattern, and I'd like to be able to customize them. I'm imagining something where I can control the number of points on the star, how pointy the star is, the height of the vase, and the twist applied from the base to the top. I also want to be able to scale the top radius differently than the base. It would be nice if I could also mirror the design on the X, Y, or both axes for some more complex shapes.

Ideally, I’d like the code to use a `linear_extrude` to create the main body, and I’d prefer to avoid any dependencies that aren't included in a typical OpenSCAD installation. I've provided some more information about how to parameterize the star shape, which I hope is helpful:

*   `star_points`: The number of points in the star.
*   `tip_radius`: The radius from the center to the tips of the star at the base.
*   `indent_radius`: The radius from the center to the indentations between the star tips, also at the base. This should be less than `tip_radius`, and the smaller it is, the pointier the star.
*   `vase_height`: The height of the vase.
*   `vase_twist`: The clockwise rotation in degrees of the top relative to the base.
*   `vase_scale`: A scale factor applied to the `tip_radius` to determine the top radius.
*   `mirroring`: Controls mirroring. `0` is no mirroring, `1` is mirror on the X axis, `2` is mirror on the Y axis, and `3` is mirror on both X and Y.

Could you please generate the required .scad files? I'm expecting that the star generation function will need to use polar to cartesian conversion.

[Assistant]
star-vase.scad:
```
// Customizable Star Vase

star_points = 5;

// Radius from center to tips of the star, as measured at base of vase.
tip_radius = 20;

// Radius from center to indentations between tips of the star, as measured at base of vase. Typically less than tip radius. The smaller the indent radius, the pointier the star.
indent_radius = 13;

vase_height = 60;

// Clockwise rotation applied to top relative to base (degrees).
vase_twist = 36;

// Scale factor applied to tip radius to determine top radius.
vase_scale = 1.42;

// Make more complex shapes by merging the vase with reflected versions of itself.
mirroring = 2; // [0:None, 1:X, 2:Y, 3:Both]

union() {

	StarVase();

	if (mirroring != 0) {
		mirror([mirroring == 1 || mirroring == 3 ? 1 : 0, mirroring == 2  || mirroring == 3 ? 1 : 0, 0]) StarVase();
	}
}

module StarVase() {
	linear_extrude(height=vase_height, twist=vase_twist, scale=vase_scale, slices=vase_height)
	Star(points=star_points, outer=tip_radius, inner=indent_radius);
}

// points = number of points
// outer  = radius to outer points
// inner  = radius to inner points
module Star(points, outer, inner) {

	// polar to cartesian: radius/angle to x/y
	function x(r, a) = r * cos(a);
	function y(r, a) = r * sin(a);

	// angular width of each pie slice of the star
	increment = 360/points;

	union() {
		for (p = [0 : points-1]) {

			// outer is outer point p
			// inner is inner point following p
			// next is next outer point following p

			assign(	x_outer = x(outer, increment * p),
					y_outer = y(outer, increment * p),
					x_inner = x(inner, (increment * p) + (increment/2)),
					y_inner = y(inner, (increment * p) + (increment/2)),
					x_next  = x(outer, increment * (p+1)),
					y_next  = y(outer, increment * (p+1))) {
				polygon(points = [[x_outer, y_outer], [x_inner, y_inner], [x_next, y_next], [0, 0]], paths  = [[0, 1, 2, 3]]);
			}
		}
	}
}
```


[User]
I need a customizable tabletop fastener designed in OpenSCAD. I've got a tabletop that I want to attach to a frame with slots, and this fastener should slot into the frame and then screw into the tabletop. I've included my initial attempt to explain this idea but I think it's a bit rough and I'm hoping you can do much better.

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

*   **Screw Diameter:** The diameter of the screw being used. This will impact the overall width of the fastener at the screw location, and the diameter of the screw hole.
*   **Thickness:** How thick the fastener is. This needs to be less than the width of the slot in the frame.
*   **Slot Depth:** The depth of the slot that will engage with the frame.
*   **Slot Offset:** How far from the tabletop the slot is located. This determines how far the frame will be set down.
*   **Overall Height:** The overall height of the part, that is the dimension along the z axis, should be adjustable.
*  **Rounded Corners:** I'd like rounded corners on all of the external edges of the fastener.

The basic shape of the fastener should be something like two rectangular bars connected by a thin section, with a screw hole going vertically. The first "bar" will fit into the frame slot, and the second will sit against the tabletop.  The screw will pass through the second bar and into the tabletop, securing the two.

I'd also like to request a few things about how the code is structured. Please make sure you're using comments to explain the code, and that you define variables for all of the dimensions. I'd really like this to be robust and customizable.

Could you please generate a single `.scad` file containing the complete design? I'd like to rely only on the basic OpenSCAD language and not any external libraries for this specific fastener.

Thank you!

[Assistant]
tabletop_fastener.scad:
```
// file: tabletop_fastener
// author: clayb.rpi@gmail.com
// date: 2014-03-17
//
// A tabletop fastener for connecting a tabletop to a slotted rail.
//
// NOTE: The convex corners are rounded to discourage warping while printing.

// The diameter of the screw being used. This affects bracket width.
SCREW_DIAMETER = 4;

// How thick the piece should be. This will need to be less than your slot width.
THICKNESS = 2.5;

// How deep the slot is.
SLOT_DEPTH = 5;

// How offset the slot is from the table top.
SLOT_OFFSET = 10;

$fn=24;

difference() {
  union() {
    linear_extrude(height=SCREW_DIAMETER * 3) {
      hull() {
        circle(r=THICKNESS / 2);
        translate([SLOT_DEPTH, 0])
        circle(r=THICKNESS / 2);
      }
    }

    linear_extrude(height=SCREW_DIAMETER * 3) {
      translate([0, SLOT_OFFSET])
      hull() {
        circle(r=THICKNESS / 2);
        translate([-SCREW_DIAMETER * 3, 0])
        circle(r=THICKNESS / 2);
      }
    }

    translate([-THICKNESS / 2, 0, 0])
    cube([THICKNESS, SLOT_OFFSET, SCREW_DIAMETER * 3]);
  }

  // Cut out a hole for the screw.
  translate([-2 * SCREW_DIAMETER, SLOT_OFFSET - THICKNESS, SCREW_DIAMETER * 3 / 2])
  rotate([-90, 0, 0])
  cylinder(r=SCREW_DIAMETER / 2, h=2 * THICKNESS);
}

```


[User]
Hey, I'm looking to create some rounded cubes in OpenSCAD, and I want something that's reasonably fast to render. I've seen that using `hull()` with strategically placed spheres can be much quicker than `minkowski()` for this purpose, and I'd like to use that approach.

I need a module that takes the cube's dimensions (x, y, and z sizes) as well as parameters for the sphere's `fn` (number of facets) and rounding radius. Basically, something that can be used like `rounded_cube(size_x, size_y, size_z, facets, rounding_radius)`.

Also, it would be great if I could have a second, top-level module, `rounded_cube_centered(size_x, size_y, size_z, facets, rounding_radius)` which produces the same result except that it centers the resulting cube at the origin.

I plan on re-using this module a lot, so I'm hoping for it to be clean, well documented, and efficient. I don't need to use any external libraries or anything fancy, just pure OpenSCAD code.

[Assistant]
rounded_cube_module.scad:
```
//Rounded cube module - faster than minkowski!
//variables with "customizer" in them are only for the Thingiverse customizer and are not essential.

customizer_x=10;
customizer_y=10;
customizer_z=10;

customizer_facets=32;
customizer_rounding_radius=1;

module rounded_cube(size_x,size_y,size_z,facets,rounding_radius)
{
	hull()
	{
		translate([rounding_radius,rounding_radius,rounding_radius]) sphere (r=rounding_radius,$fn=facets);
		translate([size_x-rounding_radius,rounding_radius,rounding_radius]) sphere (r=rounding_radius,$fn=facets);
		translate([rounding_radius,size_y-rounding_radius,rounding_radius]) sphere (r=rounding_radius,$fn=facets);
		translate([size_x-rounding_radius,size_y-rounding_radius,rounding_radius]) sphere (r=rounding_radius,$fn=facets);

		translate([rounding_radius,rounding_radius,size_z-rounding_radius]) sphere (r=rounding_radius,$fn=facets);
		translate([size_x-rounding_radius,rounding_radius,size_z-rounding_radius]) sphere (r=rounding_radius,$fn=facets);
		translate([rounding_radius,size_y-rounding_radius,size_z-rounding_radius]) sphere (r=rounding_radius,$fn=facets);
		translate([size_x-rounding_radius,size_y-rounding_radius,size_z-rounding_radius]) sphere (r=rounding_radius,$fn=facets);
	}
}

rounded_cube(customizer_x,customizer_y,customizer_z,customizer_facets,customizer_rounding_radius);

```


[User]
Right, so I've got this tool rack and the tabs that hold it to the wall broke off, so I want to make replacement tabs. I was thinking of something like a little shelf that sticks out, with a rounded end where it hits the wall and a mounting hole in the middle. The main bit should be a rectangle, with that rounded bit on top and another rectangle underneath that's wider for extra support.

I've mocked up the idea as a `.scad` file, which I've attached. I'd like to be able to customize a few things: the thickness of the tab, the width of that 'sticky-uppy-bit' that makes the rounded top, and the width of the bottom 'shoulder' bit. Oh, and the screw hole diameter too, obviously.

I think it'd be great if the file had those as named parameters at the top, so it's easy to tweak the dimensions. I'd also like to make sure the file uses the `difference()` function to make sure the screw hole goes all the way through, and the whole tab should be centered at the origin.

Basically, I'm after a nice, clean, parametric OpenSCAD file for these tabs, so I can print a few more as needed. I've attached the one I made, but I need something a bit more robust, if you know what I mean. I'd also like it if you could add in some OpenSCAD customizer options so that these values can be modified without actually opening the .scad file. I've not done that before, so that would be fantastic.

[Assistant]
ToolRackTab.scad:
```
// Tab thickness
tab_thickness = 4;

// Width of the sticky-uppy-bit
tab_width = 15;

// Width of the bit that bears the weight
tab_shoulder = 40;

// Screw hold diameter
screw_diameter = 4;

/* [Hidden] */
tab_radius = tab_width / 2;
screw_radius = screw_diameter / 2;

$fn = 50;

module tab() {
  difference() {
    union() {
      cylinder(h = tab_thickness, r = tab_radius, center = true);
      translate([0, -tab_radius, 0]) {
        cube([tab_width, tab_width, tab_thickness], center = true);
      }
      translate([0, -tab_width, 0]) {
        cube([tab_shoulder, tab_width, tab_thickness], center = true);
      }
    }
    cylinder(h = tab_thickness + 1, r = screw_radius, center = true);
  }
}

tab();

```


[User]
I'd like to generate a vase with a pinched waist, kind of like an hourglass. I want to be able to control the shape of the top and bottom halves separately, and have the design be fully parametric.

Specifically, I need to define:

*   The overall height of the vase.
*   The radius of the waist, where it gets narrow.
*   The vertical position of the waist, as a fraction of the total height (so 0.5 would be exactly in the middle, 0.25 would be a quarter of the way up from the bottom, etc.)
*   For both the top and bottom halves:
    *   The number of points on the star (or polygon, if the points are zero-indented).
    *   The radius at the widest point of each half.
    *   The depth of any indentations, which would turn a regular polygon into a star-like shape.
    *   A rotational twist of the shape as it extends vertically, in degrees.
    *   The absolute rotation of the top shape relative to the bottom.

I'd also like the final shape to be a hollow object, suitable for 3D printing with no infill (meaning the walls should be the shape described and nothing else). I don't need any kind of base or anything to be attached.

Could you generate an OpenSCAD file that lets me control these parameters? Thanks!

[Assistant]
double_taper.scad:
```
/* [General Settings] */

// Full height of the vase (mm).
vase_height = 100;

// Top and bottom parts are tapered to fit through a waist belt of this radius (mm).
waist_radius = 22;

// Waist belt is located somewhere between top (1) and bottom (0) of vase.
waist_location  = 0.33;

/* [Bottom Part] */

// Bottom part is a star or regular polygon with this many points.
bottom_points = 6;

// Depth of indentation on sides of bottom part (mm). Set to 0 for a regular polygon or larger values for a pointier star.
bottom_indent = 5;

// Radius from center axis to points of bottom part (mm).
bottom_radius = 32;

// Clockwise twist of bottom part as it rises (degrees).
bottom_twist = 0;

/* [Top Part] */

// Clockwise orientation of top face relative to bottom face (degrees).
top_rotation = 0;

// Top part is a star or regular polygon with this many points.
top_points = 6;

// Depth of indentation on sides of top part (mm). Set to 0 for a regular polygon or larger values for a pointier star.
top_indent = 0;

// Radius from center axis to points of top part (mm).
top_radius = 30;

// Clockwise twist of top part as it descends (degrees).
top_twist = 35;

union() {
	Part(bottom_points, bottom_radius, waist_location * vase_height, bottom_twist, bottom_indent);

	translate([0, 0, vase_height]) rotate([0, 0, -top_rotation]) mirror([0, 0, 180])
	Part(top_points, top_radius, (1 - waist_location) * vase_height, top_twist, top_indent);
}

// waist marker
// # translate([0, 0, (waist_location * vase_height)-0.1]) cylinder(r=waist_radius, h=0.2);

module Part(sides, base_radius, waist_height, twist, indent) {

	// To set the extrusion scaling correctly, first calculate final radius, as constrained by waist
	taper_radius = ((waist_height * waist_radius) - ((vase_height - waist_height) * (base_radius - waist_radius))) / waist_height;
	taper_scale = taper_radius / base_radius;

	// If the part is waist-constrained such that it tapers to a point before full height, only extrude to height of that point
	taper_height = ((waist_height * waist_radius) / (base_radius - waist_radius)) + waist_height;
	extrusion_height = min(vase_height, taper_height);

	linear_extrude(
			height = extrusion_height,
			twist  = twist,
			scale  = taper_scale,
			slices = round(extrusion_height))
	Star(
			points = sides,
			outer  = base_radius,
			indent = indent);
}

module Star(points, outer, indent) {

	// polar to cartesian: radius/angle to x/y
	function x(r, a) = r * cos(a);
	function y(r, a) = r * sin(a);

	// angular width of each pie slice of the star
	increment = 360/points;

	// if indent 0, inner radius is calculated to located edges
	// of regular polygon with points sides and outer circumradius
	inner = (outer * cos(increment/2)) - indent;

	union() {
		for (p = [0 : points-1]) {

			// outer is outer point p
			// inner is inner point following p
			// next is next outer point following p

			assign(	x_outer = x(outer, increment * p),
					y_outer = y(outer, increment * p),
					x_inner = x(inner, (increment * p) + (increment/2)),
					y_inner = y(inner, (increment * p) + (increment/2)),
					x_next  = x(outer, increment * (p+1)),
					y_next  = y(outer, increment * (p+1))) {
				polygon(points = [[x_outer, y_outer], [x_inner, y_inner], [x_next, y_next], [0, 0]], paths  = [[0, 1, 2, 3]]);
			}
		}
	}
}

```


[User]
I need help designing a customizable timing belt clamp for my CNC machine. I've seen a design that looks promising, and I'd like something similar but with a few key differences and to be completely parametric in OpenSCAD.

Here's the basic idea: The clamp consists of two main parts: a mounting plate that attaches to the machine and a clamping section that holds the timing belt. The mounting plate should have two bolt holes for attaching it to the machine frame. The clamping section sits above the mounting plate and is offset in both the X and Y directions. It's held onto the mount by two bolts.

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

*   **Overall Dimensions:**
    *   `space_between_parts`: Padding around plated parts after generating the mode.
    *   `robustness`: The wall thickness of all parts.
*   **Mounting Plate:**
    *   `belt_hole_diameter`: Diameter of the mounting holes for the machine frame.
    *   `belt_hole_separation`: Distance between the centers of the two mounting holes.
*   **Clamping Section:**
    *   `clamp_hole_diameter`: Diameter of the bolt holes in the clamping section.
    *   `clamp_hole_countersink_diameter`: Diameter of the countersink for the clamp bolt holes.
    *   `clamp_depth`: Thickness of the clamping part.
*   **Positioning:**
    *   `belt_clamp_rise`: Distance above the top of the mounting bolts to the belt section.
    *   `belt_clamp_run`: Distance between the bolt closest to the belt and the belt.
*   **Belt Area:**
    *   `belt_width`: Width of the area that the timing belt sits in.
    *   `belt_profile`: A string that determines the type of belt ("MXL", "T2.5", "T5", "T10"). I'd like for the belt to be cut into the clamping or mount section of the clamp, with a parameter to select which, or even none at all:
        *   `belt_position`: This should be an enum with the possible values "MOUNT", "CLAMP", and "NONE".
    *   `belt_depth_fine_tuning`: An adjustment for the depth of the belt teeth cut into the clamp, to tune for each belt profile.
*   **Resolution:**
    *   `$fn`: To control the resolution of circles and curves

The design has to take into account that the clamp bolts must be far enough apart to be functional.

The timing belt tooth profiles should be generated from a parametric library. This library should handle MXL, T2.5, T5, and T10 profiles. I don't need this library to be separate, though I'm expecting that it will require functions or modules for generating these profiles.

I'm hoping this can all be done in a single `.scad` file, or a few files if that would make it easier.

[Assistant]
belt_clamp_merged.scad:
```
//	Timing Belt Clamp Plate by Will Winder

// Rounded square module
//include <rounded_corner_square.scad>;
//include <timing_belts.scad>;

//CUSTOMIZER VARIABLES

// Padding around plated parts after generating the mode.
space_between_parts = 4;
// Wall thickness
robustness = 3;

// 5.5
// Diameter of mounting hole in mm
belt_hole_diameter = 5.3;
// 19.4
// Distance between centers of mounting holes in mm.
belt_hole_separation = 20;

// Diameter of hole on clamp in mm.
clamp_hole_diameter = 2.9;
// Diameter of clamp hole countersink in mm.
clamp_hole_countersink_diameter = 6.5;
// Thickness of the clamping section of mount in mm.
clamp_depth = 7;

// Distance in mm above the top of the mounting bolts to the belt section.
belt_clamp_rise = 11.4;
// Distance in mm between the bolt closest to the belt and the belt.
belt_clamp_run = 22.5;
// Width of belt area, you may want to make this slightly oversided.
belt_width = 7;
// Type of belting.
belt_profile = "MXL"; // ["MXL","T2.5", "T5" , "T10"]
// This adjusts how far into the clamp the belt pattern will be cut, the default setting is tuned for MXL.
belt_depth_fine_tuning = 0;

// Position of belt cutout: on the clamp block, on the mount or no belt cutout.
belt_position = "MOUNT"; // ["MOUNT", "CLAMP", "NONE"]

// Change this to customize circle resolution.
$fn=15;

//CUSTOMIZER VARIABLES END

// bolt_plate_calculated
mount_width = belt_hole_separation + belt_hole_diameter*3;
mount_height = belt_hole_diameter * 2 + robustness*2;
bolt_side_radius = belt_hole_diameter;

// belt_plate calculated
belt_plate_farspace = clamp_hole_diameter*2.3; // enough space for the clamp bolts
belt_plate_width = belt_clamp_run + belt_width + belt_plate_farspace - (mount_width-belt_hole_separation)/2;
belt_plate_height = mount_height + (belt_clamp_rise - mount_height/2) ;

// Calculate this one from parameters?
side_support_height = 12;

///////////////////////////////
// HERE ARE THE ACTUAL PARTS //
///////////////////////////////
belt_clamp_assemble();

translate([-space_between_parts-mount_height, mount_width,0]) rotate([0,0,-90])
  rotate([0,0,180])
    mirror([1,1,0])
      belt_clamp_assemble();

translate([belt_plate_height + belt_width + belt_plate_farspace*2, robustness + side_support_height,0])
  rotate([0,0,90])
    belt_clamp();

translate([belt_plate_height + belt_width + belt_plate_farspace*2, (robustness + side_support_height)*2 + space_between_parts,0])
  rotate([0,0,90])
    belt_clamp();

///////////////////////
// BELOW IS THE CODE //
///////////////////////

module right_triangle(width, height, thickness) {
union() {
polyhedron(
	points=[ [0,0,0],
			 [0,width,0],
			 [0,0,height],

			 [thickness,0,0],
			 [thickness,width,0],
			 [thickness,0,height] ],
	triangles=[[0,1,2], [5,4,3], // front & back
			  [1,5,2], [4,5,1],  // top
			  [0,2,3], [3,2,5],  // back
			  [0,4,1], [0,3,4]]);// bottom
  }
}

module bolt_plate() {
difference() {
  union() {
    linear_extrude(height=robustness)
    rounded_square([mount_height, mount_width], [0,0,bolt_side_radius,bolt_side_radius]);

    translate([0,0,robustness])
    right_triangle(mount_width-bolt_side_radius, side_support_height, mount_height);

    //translate([mount_height-robustness, 0, robustness])
    //right_triangle(mount_width-bolt_side_radius, side_support_height, robustness);
  }

  // Chop out the middle of the triangle.
  translate([robustness,robustness,robustness]) linear_extrude(height=side_support_height)
  rounded_square([mount_height-robustness*2,mount_width], [2,2,0,0]);

  // one hole
  translate([mount_height/2, (mount_width-belt_hole_separation)/2 + belt_hole_separation, -1])
  cylinder(r=belt_hole_diameter/2, h=robustness+2);

  // other hole
  translate([mount_height/2, (mount_width-belt_hole_separation)/2, -1])
  cylinder(r=belt_hole_diameter/2, h=robustness+2);
}
}

module belt_plate_support() {
union() {
  // base
  linear_extrude(height=robustness)
  polygon( points= [
    [belt_plate_height,belt_width + belt_plate_farspace*2],
    [mount_height,belt_plate_width],
    [0,belt_plate_width],
    [belt_plate_height-clamp_depth,belt_width + belt_plate_farspace*2]
  ]);

  // bottom support
  translate([0,0,robustness])
  linear_extrude(height=side_support_height)
    polygon( points= [
      //[belt_plate_height-robustness,0],
      //[belt_plate_height,0],
      [belt_plate_height-clamp_depth+robustness,belt_width + belt_plate_farspace*2],
      [robustness,belt_plate_width],
      [0,belt_plate_width],
      [belt_plate_height-clamp_depth,belt_width + belt_plate_farspace*2]
    ]);

  // top support
  translate([0,0,robustness]) linear_extrude(height=side_support_height)
    polygon( points= [
      //[belt_plate_height-robustness,0],
      //[belt_plate_height,0],
      [belt_plate_height,belt_width + belt_plate_farspace*2],
      [mount_height,belt_plate_width],
      [mount_height-robustness,belt_plate_width],
      [belt_plate_height-robustness,belt_width + belt_plate_farspace*2]
    ]);

  // inner support
  translate([0,0,robustness]) linear_extrude(height=side_support_height)
    polygon( points= [
      //[belt_plate_height-robustness,0],
      //[belt_plate_height,0],
      [belt_plate_height,belt_width + belt_plate_farspace*2],
      [mount_height,belt_plate_width],
      [mount_height-robustness,belt_plate_width],
      [belt_plate_height-robustness,belt_width + belt_plate_farspace*2]
    ]);
  }
}

module belt_plate() {

difference() {
    union() {
      linear_extrude(height=robustness+side_support_height)
      rounded_square([clamp_depth, belt_width + belt_plate_farspace*2, robustness], [belt_plate_farspace/2,0,0,0]);
    }

    if (belt_position == "MOUNT") {
      // cut the belt grooves
      translate([clamp_depth-.6 + belt_depth_fine_tuning, belt_plate_farspace,robustness+side_support_height])
      rotate([0,90,90])
      belt_length(profile = belt_profile, belt_width = belt_width, n = side_support_height);
    }
    // drill holes
	translate([-1,belt_plate_farspace/2,(side_support_height+robustness)/2]) rotate([0,90,0]) cylinder(r=clamp_hole_diameter/2, h=clamp_depth+2);
	translate([-1,belt_width+(belt_plate_farspace/2*3),(side_support_height+robustness)/2]) rotate([0,90,0]) cylinder(r=clamp_hole_diameter/2, h=clamp_depth+2);
  }
}

module belt_clamp() {
    if (belt_position == "CLAMP") {
      translate([-robustness-side_support_height,0 ,clamp_depth/2])
      difference() {
        rotate([0,180,0])
          belt_clamp_inner();

        // cut the belt grooves
        translate([0 , belt_plate_farspace,-0.6 + belt_depth_fine_tuning])
          rotate([90,180,180])
              belt_length(profile = belt_profile, belt_width = belt_width, n = side_support_height);
      }
    }
    else {
        belt_clamp_inner();
    }
}

module belt_clamp_inner() {
rotate([0,-90,0])
difference() {
    union() {
      linear_extrude(height=robustness+side_support_height)
      rounded_square([clamp_depth/2, belt_width + belt_plate_farspace*2, robustness], [0,belt_plate_farspace/2,0,belt_plate_farspace/2]);
    }

    // drill holes
    translate([-1,belt_plate_farspace/2,(side_support_height+robustness)/2])
      rotate([0,90,0])
        cylinder(r=(clamp_hole_diameter*1.4)/2, h=clamp_depth+2);
    translate([-1,belt_width+(belt_plate_farspace/2*3),(side_support_height+robustness)/2])
      rotate([0,90,0])
        cylinder(r=(clamp_hole_diameter*1.4)/2, h=clamp_depth+2);

     // counter-sink holes
	translate([clamp_depth/8*3,belt_plate_farspace/2,(side_support_height+robustness)/2]) rotate([0,90,0]) cylinder(r=clamp_hole_countersink_diameter/2, h=clamp_depth+2);
	translate([clamp_depth/8*3,belt_width+(belt_plate_farspace/2*3),(side_support_height+robustness)/2]) rotate([0,90,0]) cylinder(r=clamp_hole_countersink_diameter/2, h=clamp_depth+2);

  }
}

module belt_clamp_assemble() {
  union() {
    bolt_plate();
    translate([0,-belt_plate_width,0])
      belt_plate_support();
    translate([belt_plate_height-clamp_depth,-belt_plate_width,0])
      belt_plate();
  }
}

/*Parametric belting section generator
By - The DoomMeister
Derived from http://www.thingiverse.com/thing:16627 by Droftarts
*/

//Variables
tooth_profile = "MXL"; // "T2.5", "T5" , "T10"
belt_width = 4;
n = 20;

//Draw
/*
belt_length(profile = tooth_profile, belt_width = 10, n = 30);
translate([0,0,-20])color("red")belt_length(profile = "T5", belt_width = 10, n = 15);
translate([0,0,-40])color("green")belt_length(profile = "T10", belt_width = 10, n = 8);
*/

//Outer Module
module belt_length(profile = "T2.5", belt_width = 6, n = 10)
{

			if ( profile == "T2.5" )
				{
					_belt_length(
						profile=profile,
						n = n,
						belt_width = belt_width,
						tooth_pitch = 2.5,
						backing_thickness = 0.6
						);
				}
			if ( profile == "T5" )
				{
					_belt_length(
						profile=profile,
						n = n,
						belt_width = belt_width,
						tooth_pitch = 5,
						backing_thickness = 1
						);
				}
			if ( profile == "T10" )
				{
					_belt_length(
						profile=profile,
						n = n,
						belt_width = belt_width,
						tooth_pitch = 10,
						backing_thickness = 2
						);
				}
			if ( profile == "MXL" )
				{
					_belt_length(
						profile=profile,
						n = n,
						belt_width = belt_width,
						tooth_pitch = 2.032,
						backing_thickness = 0.64
						);
				}

}

//inner module
module _belt_length(profile = "T2.5", n = 10, belt_width = 5, tooth_pitch = 2.5, backing_thickness = 0.6)
{

for( i = [0:n])
	{
		union(){

			if ( profile == "T2.5" ) { translate([tooth_pitch*i,0,0])T2_5(width = belt_width);}
			if ( profile == "T5" ) { translate([tooth_pitch*i,0,0])T5(width = belt_width);}
			if ( profile == "T10" ) { translate([tooth_pitch*i,0,0])T10(width = belt_width);}
			if ( profile == "MXL" ) { translate([tooth_pitch*i,0,0])MXL(width = belt_width);}
			translate([(tooth_pitch*i)-(tooth_pitch/2),-backing_thickness,0])cube([tooth_pitch,backing_thickness,belt_width]);
		}
	}
}

//Tooth Form modules - Taken from http://www.thingiverse.com/thing:1662
module T2_5(width = 2)
	{
	linear_extrude(height=width) polygon([[-0.839258,-0.5],[-0.839258,0],[-0.770246,0.021652],[-0.726369,0.079022],[-0.529167,0.620889],[-0.485025,0.67826],[-0.416278,0.699911],[0.416278,0.699911],[0.484849,0.67826],[0.528814,0.620889],[0.726369,0.079022],[0.770114,0.021652],[0.839258,0],[0.839258,-0.5]]);
	}

module T5(width = 2)
	{
	linear_extrude(height=width) polygon([[-1.632126,-0.5],[-1.632126,0],[-1.568549,0.004939],[-1.507539,0.019367],[-1.450023,0.042686],[-1.396912,0.074224],[-1.349125,0.113379],[-1.307581,0.159508],[-1.273186,0.211991],[-1.246868,0.270192],[-1.009802,0.920362],[-0.983414,0.978433],[-0.949018,1.030788],[-0.907524,1.076798],[-0.859829,1.115847],[-0.80682,1.147314],[-0.749402,1.170562],[-0.688471,1.184956],[-0.624921,1.189895],[0.624971,1.189895],[0.688622,1.184956],[0.749607,1.170562],[0.807043,1.147314],[0.860055,1.115847],[0.907754,1.076798],[0.949269,1.030788],[0.9837,0.978433],[1.010193,0.920362],[1.246907,0.270192],[1.273295,0.211991],[1.307726,0.159508],[1.349276,0.113379],[1.397039,0.074224],[1.450111,0.042686],[1.507589,0.019367],[1.568563,0.004939],[1.632126,0],[1.632126,-0.5]]);
	}

module T10(width = 2)
	{
	linear_extrude(height=width) polygon([[-3.06511,-1],[-3.06511,0],[-2.971998,0.007239],[-2.882718,0.028344],[-2.79859,0.062396],[-2.720931,0.108479],[-2.651061,0.165675],[-2.590298,0.233065],[-2.539962,0.309732],[-2.501371,0.394759],[-1.879071,2.105025],[-1.840363,2.190052],[-1.789939,2.266719],[-1.729114,2.334109],[-1.659202,2.391304],[-1.581518,2.437387],[-1.497376,2.47144],[-1.408092,2.492545],[-1.314979,2.499784],[1.314979,2.499784],[1.408091,2.492545],[1.497371,2.47144],[1.581499,2.437387],[1.659158,2.391304],[1.729028,2.334109],[1.789791,2.266719],[1.840127,2.190052],[1.878718,2.105025],[2.501018,0.394759],[2.539726,0.309732],[2.59015,0.233065],[2.650975,0.165675],[2.720887,0.108479],[2.798571,0.062396],[2.882713,0.028344],[2.971997,0.007239],[3.06511,0],[3.06511,-1]]);
	}

module MXL(width = 2)
	{
	linear_extrude(height=width) polygon([[-0.660421,-0.5],[-0.660421,0],[-0.621898,0.006033],[-0.587714,0.023037],[-0.560056,0.049424],[-0.541182,0.083609],[-0.417357,0.424392],[-0.398413,0.458752],[-0.370649,0.48514],[-0.336324,0.502074],[-0.297744,0.508035],[0.297744,0.508035],[0.336268,0.502074],[0.370452,0.48514],[0.39811,0.458752],[0.416983,0.424392],[0.540808,0.083609],[0.559752,0.049424],[0.587516,0.023037],[0.621841,0.006033],[0.660421,0],[0.660421,-0.5]]);
	}

// Rounded corner square

module rounded_square(dim, corners=[10,10,10,10], center=false){
  w=dim[0];
  h=dim[1];

  if (center){
    translate([-w/2, -h/2])
    rounded_square_(dim, corners=corners);
  }else{
    rounded_square_(dim, corners=corners);
  }
}

module rounded_square_(dim, corners, center=false){
  w=dim[0];
  h=dim[1];
  render(){
    difference(){
      square([w,h]);

      if (corners[0])
        square([corners[0], corners[0]]);

      if (corners[1])
        translate([w-corners[1],0])
        square([corners[1], corners[1]]);

      if (corners[2])
        translate([0,h-corners[2]])
        square([corners[2], corners[2]]);

      if (corners[3])
        translate([w-corners[3], h-corners[3]])
        square([corners[3], corners[3]]);
    }

    if (corners[0])
      translate([corners[0], corners[0]])
      intersection(){
        circle(r=corners[0]);
        translate([-corners[0], -corners[0]])
        square([corners[0], corners[0]]);
      }

    if (corners[1])
      translate([w-corners[1], corners[1]])
      intersection(){
        circle(r=corners[1]);
        translate([0, -corners[1]])
        square([corners[1], corners[1]]);
      }

    if (corners[2])
      translate([corners[2], h-corners[2]])
      intersection(){
        circle(r=corners[2]);
        translate([-corners[2], 0])
        square([corners[2], corners[2]]);
      }

    if (corners[3])
      translate([w-corners[3], h-corners[3]])
      intersection(){
        circle(r=corners[3]);
        square([corners[3], corners[3]]);
      }
  }
}
```


[User]
I'm looking to create a customizable model for 3D printing, and I'd like to start with a template that's similar to the one I saw online, but I need some specific features and a different base shape.

First, like the template I saw, I want to be able to select from different MakerBot Replicator models (Replicator 2X, Replicator 2, Replicator Z18, Replicator Mini, and Replicator), so the build volume can be automatically set. I also need a cross-section option that allows me to cut the model along any of the six major axes, or none, just like the template I saw. Finally, it should have a variable wall thickness and a detail parameter to smooth curved surfaces.

Instead of a sphere with a hollow, I'd like the base shape to be a parametric torus that is modified by other features. Specifically, I need these user-defined parameters for the torus:

*   `torus_major_radius`: the distance from the center of the torus to the center of the tube forming the torus.
*   `torus_minor_radius`: the radius of the tube forming the torus.
*   `torus_twist`: The number of times the tube is twisted around the torus center. A twist of 0 has no twist, 1 makes one full twist, and .5 is a half twist.

I want to be able to add a set of holes or protrusions along the surface of the torus using these features:

*   `feature_type`: A selector that toggles between 'hole' and 'protrusion'
*   `feature_count`: The number of holes/protrusions around the torus.
*   `feature_radius`: The radius of each hole or the base radius of each protrusion
*   `feature_height`: If `feature_type` is set to 'protrusion', this value is the height of the protrusion; if set to 'hole', this value controls the depth of the cut.

The holes/protrusions should be evenly spaced around the circumference of the torus, with the center of the holes/protrusions placed on the surface of the torus. Also, can you make sure the protrusions look like cones rather than cylinders?

I would prefer that the code for the torus generation is separate from the code for generating the holes or protrusions, as well as the part that handles build volume limits and the cross-section option, that way the separate files would be easy to re-use in future projects. Could you break this up into at least three separate SCAD files?

I would also prefer that the whole thing be done in native openscad, without using any external libraries if possible.

[Assistant]
CustomizerTemplate.scad:
```
// MakerBot Thingiverse Customizer template
// with build chamber limiter,
// Replicator model selection,
// and cross section option.
//
// by Les Hall
//
// started 3-19-2014
// All dimensions are in millimeters.
// This template works in Customizer.
//

/* [General] */

// MakerBot Replicator Model
buildVolume = 4; // [0:Replicator 2X, 1:Replicator 2, 2:Replicator Z18, 3:Replicator Mini, 4:Replicator]

// Make whole thing or half thing
crossSection = 0; // [0:whole thing, 1: positive x half, 2:negative x half, 3:positive y half, 4:negative y half, 5:positive z half, 6:negative z half]

// Thickness (mm)
wallThickness = 6; // [1:256]

// smoothness Exponent
detail = 6; // [2:10]

/* [Details] */

// size of build volume in millimeters
buildSize = [
	[246, 152, 155],
	[285, 153, 155],
	[305, 305, 457],
	[100, 100, 125],
	[252, 199, 150],
];

// select the build volume by model
MakerBotSize = buildSize[buildVolume];

// determine offset and size of cross section eraser
xs = 2*MakerBotSize[0];
ys = 2*MakerBotSize[1];
zs = 2*MakerBotSize[2];
crossSectionOffsets = [
	[ 0,   0,   0],
	[-xs,  0,   0],
	[ xs,  0,   0],
	[ 0,  -ys,  0],
	[ 0,   ys,  0],
	[ 0,   0, -zs],
	[ 0,   0,  zs]
];
crossSectionOffset = crossSectionOffsets[crossSection];
crossSectionSize = 4*MakerBotSize;

// set level of detail for round shapes
$fn = pow(2, detail);

// make it!
difference()
{
	// use intersection to ensure evertything fits in build chamber
	intersection()
	{
		// your thing goes here
		difference()  // or union or intersection
		{
			// example design:  a hollow sphere
			sphere(r = 0.75*MakerBotSize[1]);
			sphere(r = 0.75*MakerBotSize[1] - wallThickness);
		}
		// build chamber size limiter
		cube(MakerBotSize, center = true);
	}
	// cross-section option
	if (crossSection > 0)
		translate(crossSectionOffset)
			cube(crossSectionSize, center = true);
}

```


[User]
Hey, I'm looking to create a parametric mount for a glass sheet on top of a heated bed for a 3D printer. I have some specific dimensions in mind, but I'd like to be able to adjust them easily in the future.

Essentially, I have a rectangular heated bed and a slightly smaller rectangular glass sheet that sits on top of it. I need a mount that clips onto the edge of the heated bed and secures the glass in place.

Here are the parameters I have so far, and I'd like them to be easily adjustable:

*   **Heated Bed:**
    *   `hotBedThickness`: Thickness of the heated bed (e.g., 2.5mm).
    *   `hotBedSizeX`: Length of the heated bed in the X direction (e.g., 214mm).
    *   `hotBedSizeY`: Length of the heated bed in the Y direction (e.g., 214mm).
    *   `hotBedMountPointX`: Distance from the edge of the bed to the center of the mounting points in the X direction (e.g., 2.5mm).
    *   `hotBedMountPointY`: Distance from the edge of the bed to the center of the mounting points in the Y direction (e.g., 2.5mm).
    *   `hotBedMountPointDiameter`: Diameter of the mounting holes in the heated bed (e.g., 3.7mm).

*   **Glass:**
    *   `glassThickness`: Thickness of the glass sheet (e.g., 4mm).
    *   `glassSizeX`: Length of the glass sheet in the X direction (e.g., 200mm).
    *   `glassSizeY`: Length of the glass sheet in the Y direction (e.g., 200mm).

*   **Mount:**
    *   `mountTopThickness`: Thickness of the top part of the mount that presses on the glass (e.g., 2mm).
    *   `mountBorderThickness`: Thickness of the mount's border that goes around the hotbed and glass (e.g., 2mm).
    *  `mountGlassBorderThickness`: How far the mount extends over the glass (e.g., 4mm)
    *   `mountSize`: The width and depth of the basic clip in the x and y directions, not including border thicknesses (e.g., 15mm).

*   **Hidden Parameters:**
   *    `hotBedBoltLength`: Length of the bolts for the mounting points (e.g., 20mm).  This probably doesn't need to be a user-adjustable parameter, but it is needed for the model.

I want the mount to use the existing mounting points of the heated bed. There should be a version for each corner of the bed, mirrored as necessary. The mounts should be a "clip" that hooks onto the side of the heated bed and presses down on the glass.

I'm envisioning the design using the following modules:

*   `HotBed()`:  Draws the rectangular heated bed, including the mounting holes.
*   `Glass()`: Draws the glass sheet centered on the heated bed.
*   `GlassMount()`: Draws a single mount, taking into account all the dimensions above. This should use `intersection()` to make a quarter-cylinder, and `difference()` to create the clip.
*   `GlassMountPair()`: Creates two mirrored `GlassMount` instances on one side of the bed, for the front or back edges.

I'd also like a final module `GlassMountAll()` that creates four corner mount pieces, using mirrored copies of `GlassMountPair()` as needed.

I'd like to keep this simple for now, so we don't need anything too complex. Standard OpenSCAD features should be fine. I'm hoping for a solution that includes comments for each major section of the code so it's easy to understand and modify. Thanks a lot!

[Assistant]
glassMount.scad:
```
/* [HeatedBed] */

hotBedThickness = 2.5;
hotBedSizeX = 214;
hotBedSizeY = 214;
hotBedMountPointX = 2.5;
hotBedMountPointY = 2.5;
hotBedMountPointDiameter = 3.7;

/* [Glass] */

glassThickness = 4;
glassSizeX = 200;
glassSizeY = 200;

/* [Mount] */

mountTopThickness = 2;
mountBorderThickness = 2;
mountGlassBorderThickness = 4;
mountSize = 15;

/* [Hidden] */

hotBedBoltLength = 20;

// Calculations
hotBedMountPoints = [[hotBedMountPointX,hotBedMountPointY,0],
							[hotBedMountPointX,hotBedSizeY-hotBedMountPointY,0],
							[hotBedSizeX-hotBedMountPointX,hotBedSizeY-hotBedMountPointY,0],
							[hotBedSizeX-hotBedMountPointX,hotBedMountPointY,0]];

// Hot Bed
module HotBed(){
	difference() {
		color("OrangeRed", 1)
			cube([hotBedSizeX, hotBedSizeY, hotBedThickness]);
		HotBedBolts();
/*
		for (i = hotBedMountPoints)
		{
			translate(i)
				cylinder(h=hotBedThickness,r=hotBedMountPointDiameter/2, $fn=10);
		}
*/
	}
}

module HotBedBolts(){
	for (i = hotBedMountPoints)
	{
		translate(i+[0,0,-5])
			cylinder(h=hotBedThickness+glassThickness+10,r=hotBedMountPointDiameter/2, $fn=20);
	}
}

module Glass() {
	glassPosition = [(hotBedSizeX-glassSizeX)/2,(hotBedSizeY-glassSizeY)/2,hotBedThickness];
	color("Azure",0.7)
		translate(glassPosition) cube([glassSizeX, glassSizeY, glassThickness]);
}

module GlassMount() {
	mountTotalHeight=hotBedThickness/2+glassThickness+mountTopThickness;
	mountPosition=[-mountBorderThickness,-mountBorderThickness,hotBedThickness/2];
	intersection() {
	difference(){
		translate(mountPosition)
			color("Blue")
				cube([mountSize+mountBorderThickness,mountSize+mountBorderThickness,mountTotalHeight]);
		HotBed();
		HotBedBolts();
		Glass();
		// Substract top piece
	//	translate([mountGlassBorderThickness,mountGlassBorderThickness,mountTopThickness]) Glass();
		// Triangle
	}
		translate(mountPosition)cylinder(h=mountTotalHeight,r=mountSize+mountBorderThickness,$fn=100);
	}
}

//HotBed();
//HotBedBolts();
//Glass();
//GlassMount();

module GlassMountPair() {
	translate([0,0,glassThickness + hotBedThickness + mountTopThickness])
	mirror([0,0,90]){
		GlassMount();
		translate([-10-mountBorderThickness, 0, 0]) mirror() GlassMount();
	}
}

GlassMountPair();
translate([0, -10-mountBorderThickness, 0]) mirror([0,1,0]) GlassMountPair();
```


[User]
Okay, I'm looking to create a parametric OpenSCAD design for a silkscreen stencil, and I need help getting started. I'd like to be able to define a rectangular screen area, a stencil image, optional text, an optional ink dam (frame), and an optional squeegee.

Specifically, the design should include:

**Screen Parameters:**

*   `screen_width`: The width of the overall screen area (default around 90 mm).
*   `screen_height`: The height of the overall screen area (default around 50 mm).
*   `screen_thickness`: The thickness of the screen itself (default around 0.2 mm). This should ideally be a multiple of the layer height for 3D printing.
*   `grid_spacing`:  Spacing between the grid lines that make up the screen (default around 2 mm).
*   `grid_thickness`: Thickness of the grid lines (default around 0.5 mm). This should not be less than the printer nozzle diameter.

**Stencil Image Parameters:**

*   `input`: A string that holds the coordinate data for the stencil shape. The format can be either the older two-dimensional array format, or the newer one which also provides version information about itself (see the example in the code). We will handle input with version `0` and version `1`, using the version information to select the right rendering method.
*   `stencil_width`: The desired width of the stencil image (default around 50 mm). This is used for scaling.
*   `margin`: The space around the stencil image (default around 10 mm).
*   `offX`:  Horizontal offset of the stencil image (default 0 mm).
*    `offY`: Vertical offset of the stencil image (default 0 mm).
*   `image_rotation`: Rotation of the stencil image (default 0 degrees, range -180 to 180).

**Text Parameters:**

*   `text1`: The text string to be included in the stencil (default " your text").
*   `textX`: Horizontal offset of the text (default 0 mm).
*   `textY`: Vertical offset of the text (default 0 mm).
*   `text_rotation`: Rotation of the text (default 0 degrees, range -180 to 180).

**Optional Features:**

*   `frame_height`:  Height of the optional ink dam frame (default around 7 mm).
*   `frame_thickness`: Thickness of the optional frame (default around 5 mm).
*   `squeegee_height`: Length of the optional squeegee (default around 30 mm).

**Other:**

*   `spread`: A small fudge factor to account for the slight spread of the 3D printer filament (default 1 mm).

I'd like to include a grid in the screen area. It should have lines parallel to both the width and the height of the screen.

The stencil image will be a series of polygons. I'll be pasting in the point data from a tool like "Stencil-o-matic" or another similar online converter.

The text should be cut *out* of the stencil so ink can pass through it.

I'd also like to be able to add an ink dam (frame) around the screen to contain the ink.

Finally, I'd like to add an optional squeegee. The squeegee should be a shape that can be used to move ink across the screen. It should have a sloped edge to catch the ink.

I understand I'll need to use the `Write.scad` library for the text, and that it requires a `Letters.dxf` file to be in the same folder. Please account for that in how you design the file.

I think that covers everything. Let me know if you have any questions.

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

//------------------------------------------------------------
//
//
//	input comes from:
//	http://chaaawa.com/stencil_factory/
//
//
//	http://www.thingiverse.com/thing:55821
// Modified by James Newton to make a silkscreen stencil
// with optional frame and squeegee
// Also added text to
//------------------------------------------------------------

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

/* [Screen] */

// Can't be more than your printable area. Default is ~ business card size
screen_width = 90;
screen_height= 50;

// Should be a multiple of layer height.
screen_thickness=.2;

grid_spacing = 2;
// Not less than printer nozzle diameter.
grid_thickness = .5;

/* [Polygon Image] */

// Paste from http://chaaawa.com/stencil_factory/
input = "no_input";

// Adjust to fit available area
stencil_width = 50;
margin = 10;

//If you don't want to center
offX = 0;
offY = 0;
image_rotation =0; //[-180:180]

/* [Text] */

// Optional text with or in place of image
text1 = " your   text";
textX = 0;
textY = 0;
text_rotation = 0; //[-180:180]

/* [Options] */

// Optional dam to hold in the ink. Increases required print size.
frame_height = 7;
frame_thickness = 5;

// Optional squeegee to spread the ink. Cut off for accurate edge. Increases required print size.
squeegee_height = 30;

// fudge factor to accomodate spread of filiment
spread=1;

module void() {}

dispo_width = stencil_width - 2*margin;
stencil_thickness = screen_thickness;

points_array = (input=="no_input"? [[179,268],[[199.26,15.12],[189.19,15.56],[181.5,16.45],[175.52,17.83],[169.55,19.42],[163.57,21.55],[157.55,24.22],[151.62,27.5],[145.87,31.09],[140.35,35.49],[135,40.71],[130.05,46.71],[125.52,53],[121.87,59.06],[119.06,64.5],[117.12,69.21],[115.55,73.5],[114.31,77.65],[113.16,82],[112.07,87.29],[110.96,93.7],[110.36,99.39],[110.49,102.95],[111.13,105],[136.96,105],[158.46,104.73],[163.39,103.42],[163.83,101.08],[164.04,97.67],[164.46,93.04],[165.44,87.75],[167.04,82.4],[168.96,77.59],[171.9,73.02],[175.98,68.21],[180.98,63.93],[186.13,60.62],[192.15,58.45],[201.05,58],[208.86,58.34],[214.1,59.16],[217.74,60.82],[221.73,63.19],[225.41,66.46],[228.34,70.28],[230.39,74.63],[231.97,79.15],[232.75,85.01],[232.85,92.65],[232.01,100.96],[229.51,107.41],[225.45,113.48],[218.91,119.91],[211.35,126.37],[203.83,132.63],[197.2,138.54],[191.77,144.13],[187.33,150.15],[183.1,157.07],[179.62,164.83],[176.98,172.85],[175.42,181.69],[175.22,192.28],[175.5,203.5],[199,203.5],[222.5,203.5],[222.74,198.5],[223.25,193.21],[224.15,187.5],[225.64,181.94],[227.6,177],[230.92,172.02],[235.69,166.37],[243.47,159.38],[254,151.21],[264.03,143.56],[270.61,137.84],[274.46,133.36],[277.95,128.69],[281.05,123.47],[283.96,117.69],[286.32,111.7],[288.09,106],[289.06,98.48],[289.47,88],[289.05,76.45],[287.17,68],[284.48,60.83],[281.31,54.14],[276.58,47.41],[270.1,40.14],[262.4,33.38],[254.68,28.12],[246.8,24.2],[238.72,20.92],[230.05,18.48],[220.76,16.55],[210.43,15.49],[199.26,15.12]],[[198.05,226.08],[178.93,226.28],[170.25,226.66],[169.27,232.87],[169,254.48],[169.27,277.23],[170.58,282.39],[179.4,282.82],[198.38,283],[218.91,282.73],[225.8,281.8],[226.73,274.94],[227,254.5],[226.73,234.06],[225.8,227.2],[218.87,226.29],[198.05,226.08]]]: input);

input_width = points_array[0][0];
input_height= points_array[0][1];
tVersion = points_array[0][2] == undef ? 0: points_array[0][2];
sTrace = dispo_width/input_width;
stencil_height = input_height*sTrace + 2*margin;

union() {
difference() {
	cube([screen_width+.1,screen_height+.1,screen_thickness], center=true);

//cut out the text
	translate([textX, textY, 0])
	rotate([0,0,text_rotation])
	write(text1,h=min(screen_height*.75, screen_width/(len(text1)-1)),t=stencil_thickness*2, center=true);

//cut out the poly
	if (tVersion == 0) {
		echo("'version 0 array in ", (len(points_array)-1)," parts, 400 by 300");
		translate([offX, offY, -stencil_thickness])
		rotate([0,0,image_rotation])
		scale([sTrace, -sTrace, 1])
		translate([-400/2, -300/2, 0])
			union() {
				for (i = [1:len(points_array) -1] ) {
					echo(" - part ",i," with ", len(points_array[i]) , " points");
					linear_extrude(height=stencil_thickness*2) {polygon(points_array[i]);}
				}
			}
		}
	}

	if (tVersion == 1) {
		echo("version 1 array of ",len(points_array)-1," parts", input_width, "by", input_height )
		translate([offX, offY, -stencil_thickness])
		rotate([0,0,image_rotation])
		scale([sTrace, -sTrace, 1])
		translate([-input_width/2, -input_height/2, 0])
		union() {
			for (i = [1:len(points_array) -1] ) {
				if (points_array[i][0] == 1) {
					linear_extrude(height=stencil_thickness*2) {polygon(points_array[i][1]);}
				}
			}
		}
	}

//add the screen to the screen
translate([-screen_width/2,-screen_height/2,-stencil_thickness/2])
for (i = [1:(screen_height/grid_spacing)]) {
	translate([0,i*grid_spacing])
	cube([screen_width,grid_thickness,stencil_thickness]);
	}

translate([-screen_width/2,-screen_height/2,-stencil_thickness/2])
for (i = [1:(screen_width/grid_spacing)]) {
	translate([i*grid_spacing,0])
	cube([grid_thickness,screen_height,stencil_thickness]);
	}

//add the frame if desired.
translate([-screen_width/2,-screen_height/2-frame_thickness+0.01,-stencil_thickness/2])
	cube([screen_width,frame_thickness,frame_height]);
translate([-screen_width/2,screen_height/2-.1,-stencil_thickness/2])
	cube([screen_width,frame_thickness,frame_height]);

translate([-screen_width/2-frame_thickness+.1,-screen_height/2-frame_thickness,-stencil_thickness/2])
	cube([frame_thickness,screen_height+frame_thickness*2,frame_height]);

translate([screen_width/2-.1,-screen_height/2-frame_thickness,-stencil_thickness/2])
	cube([frame_thickness,screen_height+frame_thickness*2,frame_height]);

//add a cutaway squeegee if desired.
translate([screen_width/2+frame_thickness-.2,-screen_height/2,-stencil_thickness/2])
	 rotate([-90])
		linear_extrude(screen_height-spread)
			polygon( points=[[0,-.1],[0,0],[squeegee_height,0],[squeegee_height,-frame_height],[squeegee_height/2,-frame_height]] );
}

```


[User]
Hey, I'm looking to design some organic-looking vases using OpenSCAD. I really like the look of spiraling forms built from overlapping spheres, and I'd like to be able to control how the spiral twists and tapers. I envision being able to set the starting and ending radii for both the spiral's path and the spheres themselves, along with the overall height and twist angle.

I need this to be parametric, so I can control the number of steps along the spiral, the resolution for the spheres (so they're nice and round), and whether the form is built from individual spheres or a continuous, tubular-like convex hull around the spheres. Also, it would be cool to have a mode where I can combine two of these spirals, offset them in the x and y directions, rotate each of them, and also have an option to mirror them across the X and Y axes.

The idea is to print these with no infill and minimal top layers, so they'll be hollow. I've attached a diagram to help visualize the core parameters (the diagram shows a single spiral, but I want to enable two, or none). I don't need any helper modules for illustration purposes.

Could you generate OpenSCAD code for this? I won't be needing any external libraries.

[Assistant]
spiral-node.scad:
```
/* [Spiral] */

// Spiral vase height (mm).
height = 50;

// Total rotation of spiral from base to top (degrees).
twist = 310;

// Offset from axis at the base of the spiral (mm).
initial_spoke_radius = 16;

// Offset from axis at the top of the spiral (mm).
final_spoke_radius = 6;

// Radius of nodes at the base of the spiral (mm).
initial_node_radius = 18;

// Radius of nodes at the top of the spiral (mm).
final_node_radius = 14;

/* [Resolution] */

// Number of nodes comprising spiral. Smaller values produce a more segmented appearance.
spiral_steps = 24;

// Number of facets in 360 degrees. Larger values produce smoother surfaces but are slower to calculate.
sphere_resolution = 30;

// Represent spiral as individual spherical nodes or continuous tubular convex hull. Tubular mode is much slower to calculate.
node_mode = 0; // [0:Spherical, 1:Tubular]

/* [Pair Mode] */

// Enable pair mode to combine two instances of the spiral to generate more complex forms.
pair_mode = 1; // [0:Off, 1:On]

// X separation between central axes (mm).
x_gap = 0;

// Y separation between central axes (mm).
y_gap = 18;

// Rotation of each instance around its central axis (degrees). Applied before mirroring.
rotation = 45;

// Mirror instances across the X axis.
x_mirror = 1; // [0:Off, 1:On]

// Mirror instances across the Y axis.
y_mirror = 0; // [0:Off, 1:On]

/* [Hidden] */

$fn = sphere_resolution;

spoke_radius_step = (final_spoke_radius - initial_spoke_radius) / (spiral_steps - 1);
node_radius_step = (final_node_radius - initial_node_radius) / (spiral_steps - 1);
spoke_angle_step = twist / (spiral_steps - 1);
height_step = height / (spiral_steps - 1);

function x(r, a) = r * cos(a);
function y(r, a) = r * sin(a);

if (pair_mode == 1) {
	union() {
		translate([x_gap/2, y_gap/2, 0])
		rotate([0, 0, rotation])
		SpiralBlob();

		translate([-x_gap/2, -y_gap/2, 0])
		mirror([y_mirror, x_mirror, 0])
		rotate([0, 0, rotation])
		SpiralBlob();
	}
} else {
	SpiralBlob();
}

// Just a helper to illustrate spiral structure
module SpiralFrame() {

	// axis
	cylinder(r=1, h=height);

	// spokes
	for (i = [0 : spiral_steps - 1]) {
		translate([0, 0, i * height_step])
		rotate([0, 90, i * spoke_angle_step])
		cylinder(r=1, h=i * spoke_radius_step + initial_spoke_radius);
	}
}

// Chop the top and bottom off a raw spiral blob to make flat surfaces
module SpiralBlob() {
	//SpiralFrame();
	difference() {
		RawSpiralBlob();

		assign(
				bottom_chop = abs(initial_spoke_radius) + initial_node_radius,
				top_chop = abs(final_spoke_radius) + final_node_radius) {

	 		translate([0, 0, -initial_node_radius/2])
			cube([3 * bottom_chop, 3 * bottom_chop, initial_node_radius], center=true);

			translate([0, 0, height + (final_node_radius/2)])
			cube([3 * top_chop, 3 * top_chop, final_node_radius], center=true);
		}
	}
}

// A form comprised of blobs arranged in a spiral around the z axis
module RawSpiralBlob() {
	union() {
		if (node_mode == 1) {
			// Comprised either of convex hull segments representing each node pair...
			for (i = [0 : spiral_steps - 2]) {
				BlobHull(
						i,
						spoke_radius_step, initial_spoke_radius,
						spoke_angle_step,
						height_step,
						node_radius_step, initial_node_radius);
			}
		}
		else {
			// ...or simply a sphere representing each spiral node.
			for (i = [0 : spiral_steps - 1]) {
				BlobNode(
						i * spoke_radius_step + initial_spoke_radius,
						i * spoke_angle_step,
						i * height_step,
						i * node_radius_step + initial_node_radius);
			}
		}
	}
}

// The tubular convex hull connecting two successive blob nodes
module BlobHull(i, spoke_radius_step, initial_spoke_radius, spoke_angle_step, height_step, node_radius_step, initial_node_radius) {
	hull() {
		BlobNode(
				i * spoke_radius_step + initial_spoke_radius,
				i * spoke_angle_step,
				i * height_step,
				i * node_radius_step + initial_node_radius);
		BlobNode(
				(i + 1) * spoke_radius_step + initial_spoke_radius,
				(i + 1) * spoke_angle_step,
				(i + 1) * height_step,
				(i + 1) * node_radius_step + initial_node_radius);
	}
}

// A single blob node (a sphere)
module BlobNode(spoke_radius, spoke_angle, spoke_height, node_radius) {
	translate([
			x(spoke_radius, spoke_angle),
			y(spoke_radius, spoke_angle),
			spoke_height])
	sphere(r=node_radius);
}
```


[User]
Hey there, I'm looking to design some customizable Rokenbok-compatible beams for 3D printing, and I need some help creating the OpenSCAD files. I'd like the design to be parametric so I can adjust various aspects of it, including the length and presence of snap connectors.

Here's a breakdown of what I need:

**Core Beam Structure:**

*   **Blocks:** The beam is made of connected "blocks," each a cube with a hollowed-out center, and support struts through the middle.
*   **Parametric Length:** I need to be able to define the total length of the beam by specifying the number of these blocks. I should be able to adjust this number from 1 to 17, or perhaps more.
*   **Hollowed Center:** Each block needs to have a central hollow section and additional channels cut out from the sides. This should follow the Rokenbok block standard for compatibility. Specifically the central window should be 12mm plus any female snap tolerances. The block length should be 20mm, and wall thickness 2mm. There should also be two support struts going through the center of the block, going in each x, y and z direction.

**Snap Connectors:**

*   **Optional Snaps:** I want the option to include snap connectors on either one end of the beam, or both ends. Or not at all. This will be selected using a variable representing snap options.
*   **Snap Fit Tolerance:** I need to be able to adjust the fit of the male and female snap connectors. The tolerance for each should be settable with distinct variables. I want the option to adjust these tolerances to compensate for printer differences as some require 0.3mm tolerances and others 0.0mm tolerances for example.
*   **Snap Design:** Please make the snap design compatible with the common Rokenbok snap design.

**Single Material Printing:**

*   **Optional Supports:** I need the option for minimal, easy-to-remove supports for printing on a single extruder printer. The supports should be small cubes around the interior wall.

**Fillets:**

*   **Edge Fillets:** I'd like the option for fillets along the outer edges and inner edges of the beam with a fixed radius.

**Variables:**

Here are some suggested variable names and their ranges:

*   `number_of_blocks`: Integer, range \[1:17] (or perhaps more)
*   `snaps`: Integer, \[0:No Snaps,1:One End,2:Both Ends]
*   `supports`: Integer, \[0:No Supports,1:Supports]
*   `male_snap_fit_tolerance`: Floating-point number
*   `female_snap_fit_tolerance`: Floating-point number

**Libraries:**

I don't think I need any external libraries for this.

Could you help me put together the OpenSCAD files to accomplish this? I'm looking forward to seeing what you come up with.

[Assistant]
customizableRokenbokBeam.scad:
```
// length of beam
number_of_blocks = 3; // [1:17]

snaps = 1; // [0:No Snaps,1:One End,2:Both Ends]

// for single material printing
supports = 0; // [0:No Supports,1:Supports]

// increase if snap fits are too tight, decrease if snap fits are too loose. 0.3 suggested for MakerBot Replicator 2, 0.0 suggested for Shapeways
male_snap_fit_tolerance = 0;

// increase if snap fits are too tight, decrease if snap fits are too loose. 0.2 suggested for MakerBot Replicator 2, 0.0 suggested for Shapeways
female_snap_fit_tolerance = 0;

/* [Hidden] */

WINDOW = 12+female_snap_fit_tolerance;
BLOCK_LENGTH = 20;
WALL = 2;

module block(origin = [0,0,0]) { // generate one block at origin
	translate(origin) {
		difference() {
		cube(size = BLOCK_LENGTH, center = true);
		cube(size = [BLOCK_LENGTH+1,WINDOW,WINDOW], center = true);
		cube(size = [WINDOW,BLOCK_LENGTH+1,WINDOW], center = true);
		cube(size = [WINDOW,WINDOW,BLOCK_LENGTH+1], center = true);
		cube(size = [BLOCK_LENGTH-2*WALL,BLOCK_LENGTH-2*WALL,BLOCK_LENGTH-2*WALL], center = true);
		translate([0,0,(BLOCK_LENGTH/2)])
			cube(size = [BLOCK_LENGTH+1,1,1], center = true);
		translate([0,0,-(BLOCK_LENGTH/2)])
			cube(size = [BLOCK_LENGTH+1,1,1], center = true);
		translate([0,-(BLOCK_LENGTH/2),0])
			cube(size = [BLOCK_LENGTH+1,1,1], center = true);
		translate([0,(BLOCK_LENGTH/2),0])
			cube(size = [BLOCK_LENGTH+1,1,1], center = true);
		translate([0,0,(BLOCK_LENGTH/2)])
			cube(size = [1,BLOCK_LENGTH+1,1], center = true);
		translate([0,0,-(BLOCK_LENGTH/2)])
			cube(size = [1,BLOCK_LENGTH+1,1], center = true);
		translate([0,-(BLOCK_LENGTH/2),0])
			cube(size = [1,1,BLOCK_LENGTH+1], center = true);
		translate([0,(BLOCK_LENGTH/2),0])
			cube(size = [1,1,BLOCK_LENGTH+1], center = true);
		} // end difference
		if (supports != 0) {
			translate([0,-(BLOCK_LENGTH/2-0.1),0])
				cube([4,0.2,WINDOW], center = true);
			translate([0,-(BLOCK_LENGTH/2-WALL+0.1),0])
				cube([4,0.2,WINDOW], center = true);
			translate([0,(BLOCK_LENGTH/2-0.1),0])
				cube([4,0.2,WINDOW], center = true);
			translate([0,(BLOCK_LENGTH/2-WALL+0.1),0])
				cube([4,0.2,WINDOW], center = true);
			difference() {
				cube([WINDOW+0.2,WINDOW+0.2,BLOCK_LENGTH-2*WALL], center = true);

				cube([WINDOW,WINDOW,BLOCK_LENGTH], center = true);
				cube([4,WINDOW+1,BLOCK_LENGTH-2*WALL], center = true);
				cube([WINDOW+1,4,BLOCK_LENGTH-2*WALL], center = true);
			} // end difference

		} // end if (supports != 0)
	} // end translate
} // end module block()

module snap(supports = 0, snap_fit_tolerance = 0.1, origin = [0,0,0], orientation = [0,0,0]) {
	translate(origin) rotate(orientation) difference() {
		union() {
			translate([-8.5-6.5/2,-(5.98-(1.5)/2),0])
				cube([6.5,1.5-snap_fit_tolerance,11.8], center = true);
			translate([-8.5-6.5+3.15/2,-5.98-0.8/2+snap_fit_tolerance/2,0])
				cube([5-1.95,0.8,11.8], center = true);
			translate([-(BLOCK_LENGTH/2)-1.53-(5-1.53)/2,-(5.98-1.5-0.75/2+snap_fit_tolerance/2),0])
				cube([5-1.53,0.75,11.8], center = true);
			// add fillets at attachment point
			translate([-8.5-0.5/2,-5.975+0.75,0]) {
				difference() {
					cube([0.5,1.5-snap_fit_tolerance+2*0.5,11.8+2*0.5], center = true);

						translate([-0.5/2,-1+snap_fit_tolerance/2-0.5/2,0])
							cylinder(h = 13, r = 0.5, $fs = 0.1, center = true);
						translate([-0.5/2,1-snap_fit_tolerance/2+0.5/2,0])
							cylinder(h = 13, r = 0.5, $fs = 0.1, center = true);
						translate([-0.5/2,0,11.8/2+0.5])
							rotate([90,0,0])
								cylinder(h = 3, r = 0.5, $fs = 0.1, center = true);
						translate([-0.5/2,0,-(11.8/2+0.5)])
							rotate([90,0,0])
								cylinder(h = 3, r = 0.5, $fs = 0.1, center = true);
				} // end difference fillet
			} // end translate
		} // end union
		// subtract 45 degree rotated "cubes"
		translate([-15,-6.78+snap_fit_tolerance/2,0])
			rotate([0,0,45])
				cube([2.54,2.54,12], center = true);
		translate([-11.95,-6.78+snap_fit_tolerance/2,0])
			rotate([0,0,45])
				cube([1.131371,1.131371,12], center = true);
		translate([-11.53,-3.73-snap_fit_tolerance/2,0])
			rotate([0,0,45])
				cube([1.06066,1.06066,12], center = true);
		translate([-14.714711,-3.444711-snap_fit_tolerance/2,0])
			rotate([0,0,30])
				cube([1.558846,1.558846,12], center = true);
		// subtract anti-fillet, doesn't work on polyhedra
		mirror([0,0,1]) {
			translate([-15+1.5,0,-5.9+1.5])
				difference() {
					cube([3.1,BLOCK_LENGTH,3.1], center = true);
					translate([1.5,0,1.5])
						rotate([90,0,0])
							cylinder(h = BLOCK_LENGTH+1, r = 3, $fs = 1, center = true);
				} // end difference
		} // end mirror
		translate([-15+1.5,0,-5.9+1.5])
			difference() {
				cube([3.1,BLOCK_LENGTH,3.1], center = true);
				translate([1.5,0,1.5])
					rotate([90,0,0])
						cylinder(h = BLOCK_LENGTH+1, r = 3, $fs=1, center = true);
			} // end difference
	} // end difference

	// supports
	if (supports != 0) {
		translate([-8.5-2.5,-(6-0.75),-5.9-4.1/2]) {
			difference() {
				cube([3.2,1.5-snap_fit_tolerance,4.1], center = true);
				translate([-0.2,0,3*0.2/2])
					cube([3,1.3-snap_fit_tolerance,4.1-3*0.2], center = true);
			} // end difference
		} // end translate
	} // end if (supports != 0)

	if (supports != 0)
		translate([-8.5-2.5,0,-5.9-4.1/2-4.1/2+3*0.2/2])
			cube([3.2,12-snap_fit_tolerance,3*0.2], center = true);
} // end module snap()

module filletX(rad = 0.5, length = 20, pos = [0,-(BLOCK_LENGTH/2),(BLOCK_LENGTH/2)], rot = [0,0,0]) {
	translate([pos[0],pos[1]-sign(pos[1])*rad/2,pos[2]-sign(pos[2])*rad/2])
		rotate(rot)
			rotate([0,0,90])
				difference() {
					cube([rad+.1,length+1,rad+.1], center = true);

					translate([rad/2,0,-rad/2])
						rotate([90,0,0])
							cylinder(r = rad, h = length+2, $fs = 0.1, center = true);
				} // end difference fillet
} // end module filletX()

module filletY(rad = 0.5, length = 20, pos = [-(BLOCK_LENGTH/2),0,(BLOCK_LENGTH/2)], rot = [0,0,0]) {
	translate([pos[0]-sign(pos[0])*rad/2,0,pos[2]-sign(pos[2])*rad/2])
		rotate(rot)
			difference() {
				cube([rad+.1,length+1,rad+.1], center = true);

				translate([rad/2,0,-rad/2])
					rotate([90,0,0])
						cylinder(r = rad, h = length+2, $fs = 0.1, center = true);
			} // end difference fillet
} // end module filletY()

module filletZ(rad = 0.5, length = 20, pos = [(BLOCK_LENGTH/2),-(BLOCK_LENGTH/2),0], rot = [0,0,90]) {
	translate([pos[0]-sign(pos[0])*rad/2,pos[1]-sign(pos[1])*rad/2],0)
		rotate(rot)
			rotate([90,0,0])
				difference() {
					cube([rad+.1,length+1,rad+.1], center = true);

					translate([rad/2,0,-rad/2])
						rotate([90,0,0])
							cylinder(r = rad, h = length+2, $fs = 0.1, center = true);
				} // end difference fillet
} // end module filletZ()

difference() {
	union() { // generate blocks
		for (i = [1:number_of_blocks]) {
			block([BLOCK_LENGTH*(i-1),0,0]);
		}
	}

	if (number_of_blocks > 1) {
		for (i = [2:number_of_blocks]) {
			translate([(BLOCK_LENGTH/2)+BLOCK_LENGTH*(i-2),0,0])
				difference() {
					cube([1,BLOCK_LENGTH+1,BLOCK_LENGTH+1], center = true);
					cube([1,19,19], center = true);
				}
		}
	} // end if number_of_blocks > 1

	if (snaps >= 1) {
		// near end snap
		translate([-(BLOCK_LENGTH/2),0,0])
			cube([3,BLOCK_LENGTH-2*WALL,BLOCK_LENGTH+1], center = true);

		if (snaps == 2) {
			// far end snap
			translate([number_of_blocks*BLOCK_LENGTH-(BLOCK_LENGTH/2),0,0])
				cube([3,BLOCK_LENGTH-2*WALL,BLOCK_LENGTH+1], center = true);
		} else {
			translate([number_of_blocks*BLOCK_LENGTH-(BLOCK_LENGTH/2),0,0]) {
				cube([1,BLOCK_LENGTH+1,1], center = true);
				cube([1,1,BLOCK_LENGTH+1], center = true);
			}
		}
	} else {
		translate([-(BLOCK_LENGTH/2),0,0]) {
			cube([1,BLOCK_LENGTH+1,1], center = true);
			cube([1,1,BLOCK_LENGTH+1], center = true);
		}
		translate([number_of_blocks*BLOCK_LENGTH-(BLOCK_LENGTH/2),0,0]) {
			cube([1,BLOCK_LENGTH+1,1], center = true);
			cube([1,1,BLOCK_LENGTH+1], center = true);
		}
	} // end if (snaps >= 1)

	// edge fillets 0.5mm radius
	filletX(rad = 0.5, length = number_of_blocks*BLOCK_LENGTH, pos = [(number_of_blocks-1)*(BLOCK_LENGTH/2),-(BLOCK_LENGTH/2),(BLOCK_LENGTH/2)], rot = [0,0,0]);
	filletX(rad = 0.5, length = number_of_blocks*BLOCK_LENGTH, pos = [(number_of_blocks-1)*(BLOCK_LENGTH/2),(BLOCK_LENGTH/2),(BLOCK_LENGTH/2)], rot = [-90,0,0]);
	filletX(rad = 0.5, length = number_of_blocks*BLOCK_LENGTH, pos = [(number_of_blocks-1)*(BLOCK_LENGTH/2),-(BLOCK_LENGTH/2),-(BLOCK_LENGTH/2)], rot = [90,0,0]);
	filletX(rad = 0.5, length = number_of_blocks*BLOCK_LENGTH, pos = [(number_of_blocks-1)*(BLOCK_LENGTH/2),(BLOCK_LENGTH/2),-(BLOCK_LENGTH/2)], rot = [180,0,0]);

	filletY(rad = 0.5, length = BLOCK_LENGTH, pos = [-(BLOCK_LENGTH/2),0,(BLOCK_LENGTH/2)], rot = [0,0,0]);
	filletY(rad = 0.5, length = BLOCK_LENGTH, pos = [-(BLOCK_LENGTH/2),0,-(BLOCK_LENGTH/2)], rot = [0,-90,0]);
	filletY(rad = 0.5, length = BLOCK_LENGTH, pos = [number_of_blocks*BLOCK_LENGTH-(BLOCK_LENGTH/2),0,(BLOCK_LENGTH/2)], rot = [0,90,0]);
	filletY(rad = 0.5, length = BLOCK_LENGTH, pos = [number_of_blocks*BLOCK_LENGTH-(BLOCK_LENGTH/2),0,-(BLOCK_LENGTH/2)], rot = [0,180,0]);

	filletZ(rad = 0.5, length = BLOCK_LENGTH, pos = [-(BLOCK_LENGTH/2),-(BLOCK_LENGTH/2),0], rot = [0,0,0]);
	filletZ(rad = 0.5, length = BLOCK_LENGTH, pos = [-(BLOCK_LENGTH/2),(BLOCK_LENGTH/2),0], rot = [0,0,-90]);
	filletZ(rad = 0.5, length = BLOCK_LENGTH, pos = [number_of_blocks*BLOCK_LENGTH-(BLOCK_LENGTH/2),-(BLOCK_LENGTH/2),0], rot = [0,0,90]);
	filletZ(rad = 0.5, length = BLOCK_LENGTH, pos = [number_of_blocks*BLOCK_LENGTH-(BLOCK_LENGTH/2),(BLOCK_LENGTH/2),0], rot = [0,0,180]);

} // end difference

if (snaps >= 1) {
	// near end snap
	translate([-7.75,0,0])
		difference() {
			cube([1.5,BLOCK_LENGTH-2*WALL,BLOCK_LENGTH-2*WALL], center = true);
			cube([WALL,3,12], center = true);
		} // end difference
	snap(supports, male_snap_fit_tolerance);
	mirror([0,1,0])
		snap(supports, male_snap_fit_tolerance);

	if (snaps == 2) {
		// far end snap
		translate([(number_of_blocks-1)*BLOCK_LENGTH+7.75,0,0])
			difference() {
				cube([1.5,BLOCK_LENGTH-2*WALL,BLOCK_LENGTH-2*WALL], center = true);
				cube([WALL,3,12], center = true);
			} // end difference
		translate([(number_of_blocks-1)*BLOCK_LENGTH,0,0])
			mirror([1,0,0]) {
				snap(supports, male_snap_fit_tolerance);
				mirror([0,1,0])
					snap(supports, male_snap_fit_tolerance);
			} // end mirror
	} else { // end if (snaps == 2)
		if (supports == 1) {
			translate([number_of_blocks*BLOCK_LENGTH-(BLOCK_LENGTH/2)-0.1,0,0])
				cube([0.2,4,WINDOW], center = true);
			translate([number_of_blocks*BLOCK_LENGTH-12+0.1,0,0])
				cube([0.2,4,WINDOW], center = true);
		} // end if supports == 1
	} // end else if (snaps == 2)
} else { // end if (snaps >= 1)
	if (supports == 1) {
		translate([number_of_blocks*BLOCK_LENGTH-(BLOCK_LENGTH/2)-0.1,0,0])
			cube([0.2,4,WINDOW], center = true);
		translate([number_of_blocks*BLOCK_LENGTH-12+0.1,0,0])
			cube([0.2,4,WINDOW], center = true);
		translate([-(BLOCK_LENGTH/2)+0.1,0,0])
			cube([0.2,4,WINDOW], center = true);
		translate([-8-0.1,0,0])
			cube([0.2,4,WINDOW], center = true);
	} // end if supports == 1
} // end else if snaps >= 1
```


[User]
I need a parametric design for a hook, suitable for 3D printing. The hook should have a main body, a rounded top section, and a rectangular section at the end that acts as a mounting point.

Here's a breakdown of the features and how they should be parameterized:

*   **Overall Hook Dimensions:**
    *   `Hook_width`: The width of the hook's main body.
    *   `Hook_length`: The total length of the hook.
    *  `Hook_size`: Length of the mounting section
*   **Main Body:**
    *   The main body should be a rectangular prism (a cube with different dimensions), `Hook_width` wide and `Hook_length` long, and a thickness of 10 (this should be a variable called `Hook_thickness`).

*   **Rounded Top:**
    *   A cylinder forms the rounded top of the hook; this should be centered on the width.
    *   The radius of this cylinder should equal `Hook_width/2`, effectively making it a half-circle at the top.
    *   The height of this cylinder is `Hook_width/2`.
 *   There should be a cylindrical cut-out from the top centered like the first cylinder to allow for easy hanging; radius of `Hook_width/5`, height of 50, and should be a "difference" function.
*   **Mounting Section:**
    *   A rectangular block extends from the main body at the bottom of the hook.
    *   It should be `Hook_width` wide, `Hook_size` long, and 10 thick (this should be a variable called `Mount_thickness`).
    *   A smaller rectangular block with thickness `Mount_height` should extend out perpendicular from the bottom of the main hook for added mounting area, a depth of 10 (this should be variable `Mount_depth`).

I'd like the design to be fully parametric, so I can easily adjust the dimensions. The main body should be cut out of the cylinder, but not the cylinder cut out of the hook. I don't need any external libraries for this, it should be able to use base OpenSCAD commands.

[Assistant]
hook.scad:
```
Hook_width=120;

Hook_length=290;
Hook_size=90;

module example005()
{

difference(){

union(){
cube([Hook_width,Hook_length,10],false);

translate([Hook_width/2,0,0])
cylinder(10,Hook_width/2,Hook_width/2,false);
}

translate([Hook_width/2,0,0])
cylinder(50,Hook_width/5,Hook_width/5,true);

}

translate([0,Hook_length-10,10])
cube([Hook_width,10,50],false);

translate([0,Hook_length-Hook_size,50])
cube([Hook_width,Hook_size,10],false);

}

example005();

```


[User]
Hey, I'm looking to create a customizable toothbrush holder in OpenSCAD. I want to be able to specify the length, height, and width of the base, and also the width of the far end. It should have rounded edges on the main base section, and a sort of tapered top section, where the base of the top section is the same width as the main body of the holder and the far end is the specified width of the far end. I also need to be able to control the number of toothbrushes it holds, as well as their radius and spacing.

Essentially, the design is a long, rounded box with a tapered top. The toothbrush slots will be created by removing cylinders, whose positions are calculated according to the parameters provided. I'd like there to also be a small sphere cut out to create a larger opening for the toothbrush head and bristles, which would also be positioned according to the same spacing calculations.

Could you generate the OpenSCAD code for me? I think I need to make sure to use the `minkowski()` and `hull()` functions, along with differences and for loops. I would not like to use any libraries if at all possible.

[Assistant]
Untitled.scad:
```
// toothbrush holder

// Length of the holder
LENGTH = 140;

HEIGHT = 90;
WIDTH = 30;
// Width of the far end
WIDTH2 = 25;
ROUNDING = 10;

// Number of brushes
NUM_BRUSHES = 5;

BRUSH_R = 9;
BRUSH_OFFSET = 25;
BRUSH_OFFSET2 = BRUSH_R + 5;
BRUSH_DISTANCE = (LENGTH - BRUSH_OFFSET - BRUSH_OFFSET2) / (NUM_BRUSHES-1);

module rounded_box2d(x, y, z, r) {
	translate([r, r, 0])
	minkowski() {
		cylinder(r=r, h=1);
		cube([x-2*r, y-2*r, z-1]);
	}

}

module base() {
intersection() {
difference() {
	rounded_box2d(LENGTH+ROUNDING,HEIGHT,WIDTH,ROUNDING);

	translate([6,6,-1])
	rounded_box2d(LENGTH,HEIGHT-12,WIDTH+2,ROUNDING-6);
}

translate([0,HEIGHT+1,0])
rotate([90,0,0])
hull() {
	translate([0,WIDTH/2,0])
	cylinder(r=WIDTH/2, h=100);

	translate([LENGTH-WIDTH2/2,WIDTH2/2,0])
	cylinder(r=WIDTH2/2, h=100);
}

}
}

difference() {
	base();
	for ( i = [0 : NUM_BRUSHES-1] )
	{
    translate([i*(BRUSH_DISTANCE)+BRUSH_OFFSET, HEIGHT/2, (1-(i*(BRUSH_DISTANCE)+BRUSH_OFFSET)/LENGTH)*WIDTH/2+(i*(BRUSH_DISTANCE)+BRUSH_OFFSET)/LENGTH*WIDTH2/2])
	 rotate([-90,0,0])
    cylinder(r = BRUSH_R, h=HEIGHT);
	}

	for ( i = [0 : NUM_BRUSHES-1] )
	{
    translate([i*(BRUSH_DISTANCE)+BRUSH_OFFSET, BRUSH_R+2, (1-(i*(BRUSH_DISTANCE)+BRUSH_OFFSET)/LENGTH)*WIDTH/2+(i*(BRUSH_DISTANCE)+BRUSH_OFFSET)/LENGTH*WIDTH2/2])
    sphere(r = BRUSH_R);
	}
}
```


[User] I'd like a parametric OpenSCAD script for creating domes. I want to be able to specify both the diameter of the base and the height of the dome as parameters. I need the dome to be centered at the origin, so I can do further transformations to it after generation. It's important that the script calculates the radius of the sphere that contains the dome; I don't want to have to enter that directly. There should be error handling to ensure that the inputs are valid (e.g., if either dimension is zero or negative). I'd also like a debug mode that will print the calculated values to the console. Finally, the dome should be rendered with a reasonably high resolution.

[Assistant]
Dome.scad:
```
//============================================================
// OpenSCAD Project : Build a Dome
//
// Vincent DUBOIS
//============================================================

// The Dome is centered at origine. Do what you want after build
// D = Ground Diameter (Basement)
// H = Height of the Dome (from center)

// Explain :
// There is only one Sphere for 3 points in space.
// H + Diameter (2 points on the Diameter) = 3
// Whatever are H and R with 0<R and 0<H
// The Sphere Radius is an equation of R and H
// See below

// use as : use <dome.scad>
// inside script : Dome(D=Diameter,H=height)

//------------------------------------------------------------
// Parameters for Customizer
// Tested with OpenSCAD version 2017.01.20 (git 59df0d1)
//------------------------------------------------------------
/* [OpenScad resolution] */
// Set global resolution.
$fn = 100 ; // [1:250]

/* [Dome size] */
// The Height of the dome ]0,∞[.
DomeHeight = 20;

// The diameter of the base of dome [0,∞[ (0=sphere).
BaseDiameter = 20;

/* [Debug mode] */
// Set it if you want the values to be shown in console.
Debug = false;

//------------------------------------------------------------
// View
//------------------------------------------------------------
Dome(BaseDiameter,DomeHeight);

//------------------------------------------------------------
// Build the Dome
// D : Diameter of the Dome - the basement
// H : Height of the Dome
//------------------------------------------------------------
module Dome(D=1,H=2)
{
    // Control to avoid problems
    // a =   test ? TrueValue : FalseValue ;
    D = D<=0 ? abs(D) : D;
    H = H<0 ? abs(H) : H==0 ? 1 : H;

	// Calculation of the sphere radius
	//  ( (H*H) + (R*R) ) / (2*H)
	R=D/2;
	Sphere_Radius = ( pow(H,2) + pow(R,2) ) / (2*H);

	// Log the values, uncomment if needed
    if (Debug)
    {
        echo(str("Debug mode"));
        echo (str("",
            "\nDome Height : ", H,
            "\nBasement Diameter : ", D,
            "\nSphere Radius : ", Sphere_Radius, " (calculated)",
            "\nSphere Diameter : ", Sphere_Radius*2, " (calculated)\n"));
    }

	// center at origin the Dome for good rotating
	translate([0,0,-(Sphere_Radius-H)-H/2])

	difference()
	{
		// build the sphere which contain the Dome
		sphere(Sphere_Radius);
		// remove the useless sphere portion with a cube
		translate([0,0,-H])
			cube([2*Sphere_Radius,2*Sphere_Radius,2*Sphere_Radius],center=true);
	}
}

//==EOF=======================================================
```


[User]
I'm looking to design a modular storage system for resistors that come on those paper strips, you know, the ones where the components are taped down? I'd like to be able to store multiple strips, one above the other, and also have the option to mount the whole thing on a wall.

Here's a breakdown of what I need:

*   **Strip Storage:** The design should accommodate a strip of components. The standard strip width is 56mm, so that should be a configurable parameter. The diameter of the storage area where the strip wraps around should also be configurable, though I'd like to start with a 17mm diameter. The individual components are about 3mm in diameter.
*   **Wall Mounting:** I want the option to include a section for wall mounting. This would need mounting holes to screw into a wall.
*   **Modularity:** Each strip holder unit should stack above the next. This stacking mechanism should allow multiple strips to be loaded and stored.
*   **End Cap:** Include a configurable option for a small end cap on the strip storage, I'm envisioning this as being a small tab on the end of the holder.
*   **Key Parameters:** I need parameters to control the strip width, storage diameter, component diameter, wall mounting thickness, feed length from the main storage, end cap length, the number of strips that stack vertically and whether or not the device has the wall mount built in. The default should be a 65mm strip width, 17mm storage diameter, 3mm component diameter, 2mm wall mounting thickness, 2mm feed length, 0 end cap length, 2 strips, and with the wall mount enabled.

I'd like this all to be designed in OpenSCAD with appropriate parameters. If it is helpful to your design, please feel free to use any external libraries that you deem necessary, such as MCAD, BOSL, BOSL2, dotSCAD, NopSCADlib, or BOLTS. I'm thinking that you'll need at least two files, one to define the modules, and one for the actual main rendering.

[Assistant]
resistorholder_upload.scad:
```
strip_width=65; //65
storage_diameter=17; //17
component_diameter=3; //3
wall_mounting_thickness=2; //2
length_of_feed=2; //2
length_of_endcap=0;  //0
n=2; //5
wall_mounting=true; //true
module holder()
{
difference()
{
	cube([storage_diameter+wall_mounting_thickness*2+length_of_feed, strip_width+wall_mounting_thickness*2+length_of_endcap, storage_diameter+wall_mounting_thickness*2]);
	translate([wall_mounting_thickness+storage_diameter/2, wall_mounting_thickness, wall_mounting_thickness+storage_diameter/2])
	{
		rotate(a=[90,0,180]){
			cylinder(h=strip_width+length_of_endcap+wall_mounting_thickness+1, r=storage_diameter/2);
		}
	}
	translate([storage_diameter+wall_mounting_thickness*2+length_of_feed,wall_mounting_thickness,component_diameter+wall_mounting_thickness])
	{
		rotate(a=[0,180,0]) {
			cube([length_of_feed+wall_mounting_thickness+storage_diameter/2,strip_width, component_diameter]);
		}
	}
	translate([storage_diameter/2+wall_mounting_thickness,wall_mounting_thickness+strip_width,wall_mounting_thickness])
	{
		rotate(a=[0,0,0]) {
			cube([storage_diameter/2,length_of_endcap+wall_mounting_thickness, component_diameter]);
		}
	}
}
}

module wall_mounting()
{
difference()
{
	translate([0,0,component_diameter+storage_diameter])
	{
		cube([wall_mounting_thickness, strip_width+wall_mounting_thickness*2+length_of_endcap, 8]);
	}

	translate([-.5,(strip_width+wall_mounting_thickness+length_of_endcap)/6, 4+component_diameter+storage_diameter])
	{
		rotate([0,90,0])
		{
			cylinder(h=wall_mounting_thickness+1, r=2.5/2);
		}
	}
	translate([-.5,((strip_width+wall_mounting_thickness+length_of_endcap)*5/6)+2.5/2, 4+component_diameter+storage_diameter])
	{
		rotate([0,90,0])
		{
			cylinder(h=wall_mounting_thickness+1, r=2.5/2);
		}
	}

}
}
rotate(a=[90,0,0]){
if (wall_mounting==true)
{
	wall_mounting();
}
for (i=[0:n-1])
{
	translate([0,0,-i*(storage_diameter+wall_mounting_thickness)])
	{
	holder();
	}
}
}
```


[User]
Hi there! I'm looking to create some parametric linkage parts for experimenting with different mechanical designs, kind of like the ones in this existing OpenSCAD file I have. (I won't paste it here since it's kind of long, but I will include all the details below, so it's not a black box.)

The idea is that these parts can be combined to form various linkage systems, using standard 3mm filament as axles. I want to be able to easily customize the lengths and angles of each arm segment, as well as the diameters of the axle holes.

Here's what I need in the generated OpenSCAD file(s):

1.  **Basic Linkage Arm Segment:** The main component will be a linkage arm with a central eyelet and up to three extending arms. Each arm should have an eyelet at its end for connecting to other parts.
2.  **Parametric Dimensions:** I need to be able to adjust these parameters:
    *   `tz`: Overall thickness of the linkage part.
    *   `tx`: Width of each arm segment.
    *   `trim`: Width of material around axle holes.
    *   `clr`: Axle hole clearance (for the filament to move freely.)
    *   `l1`, `l2`, `l3`: Length of each of the three arms (set to 0 to omit an arm.)
    *  `phi1`, `phi2`, `phi3`:  Rotation angle of each arm, relative to a central zero.
    *   `daxle0`, `daxle1`, `daxle2`, `daxle3`: Diameter of each axle hole (starting from the center and going outward along the arms.)
    *   `m0`, `m1`, `m2`, `m3`: A multiplier for axle eyelet thickness, for instance `m0=2` will double the eyelet thickness for the center hole.
3.  **Axle Holes:** All axle holes should have the specified clearance.
4. **Modular Design**: The main module should be called `arm()` and should be able to be copied/translated.
5. **Clearance:** The axle holes should have proper clearance for 3mm filament. So, if you create a variable `daxle_x` that calculates the hole size for a given `daxle` with a `clr` value, that would be useful.
6.  **Functionality:**
    * The main module `arm()` should be a `difference()` between the solid arms and cut-outs for the axle holes.
    *   I would prefer having separate `extension()` and `extensioncut()` modules for the arm segments. I think that improves clarity, and the existing code does this too.
7.  **Libraries:** No need for any external libraries. The design should be basic enough to do with only OpenSCAD itself.

Essentially, I need a parametric version of the design described in the code snippet I have. It'd be great to be able to generate these linkages with different arm lengths and angles, for a bunch of different experiments.

[Assistant]
simplistic-linkage-part-generator.scad:
```

// 2014
// Lukas Süss aka mechadense
// public domain
// minimal customizable linkage arm segment (for experimmentation)

/*
These customizable parts should be usable as building blocks
to quickly experiment with various linkage designs.

e.g. the alternative form of paucellier lipkin linkage
like presented in this video
https://www.youtube.com/watch?v=62QmuQdoBRk

* use 3mm filament as axles
* weld or glue axles in place (make rivets)
* stack multiple identical linkages to get more sturdyness
* crop all arms to zero length to get trivial washers

*/

numcopies = 3;
shiftx = 0;
shifty = 16;

$fa = 5;
$fs = 0.4;

//linkage arm thickness
tz = 1.75;
//linkage arm width
tx = 3;
//bearing width
trim = 1.75;

// axle clearance
clr = 0.15;

// length of arm1 (set 0 to remove)
l1 = 8;
phi1 = 0;
// length of arm2 (set 0 to remove)
l2 = 20;
phi2 = 120;
// length of arm3 (set 0 to remove)
l3 = 20;
phi3 = -120;

// axle diameter
daxle0 = 3;
daxle1 = 3;
daxle2 = 3;
daxle3 = 3;
daxle_0 = daxle0+2*clr;
daxle_1 = daxle1+2*clr;
daxle_2 = daxle2+2*clr;
daxle_3 = daxle3+2*clr;

m0 = 1;
m1 = 1;
m2 = 1;
m3 = 1;

for(i=[0:numcopies-1])
{
  translate([shiftx*i,shifty*i,0])
  arm();
}

module arm()
{
difference()
{
  union()
  {
    // center eyelet
    translate([0,0,0])
      cylinder(r=daxle_0/2+trim,h=tz*m0);

    // rod to eyelet2
    extension(l1,daxle_1,m1,phi1);
    extension(l2,daxle_2,m2,phi2);
    extension(l3,daxle_3,m3,phi3);

  }
  translate([0,0,-1])
    cylinder(r=daxle_0/2,h=tz*m0+2);
  extensioncut(l1,daxle_1,m1,phi1);
  extensioncut(l2,daxle_2,m2,phi2);
  extensioncut(l3,daxle_3,m3,phi3);
}
}

module extension(l,daxle_=3+clr,m=1,phi=0)
{
  rotate(phi,[0,0,1])
  {
    translate([0,l/2,tz/2])
      cube([tx,l,tz],center=true);
    translate([0,l,0])
      cylinder(r=daxle_/2+trim,h=tz*m);
  }
}
module extensioncut(l,daxle_,m,phi)
{
  rotate(phi,[0,0,1])
  {
    translate([0,l,-1])
      cylinder(r=daxle_/2,h=tz*m+2);
  }
}

```


[User]
I need help designing a parametric ankle board for rehabilitation purposes. It should be a single-axis rocker, meaning it only allows tilting in one direction.

The main structure should be a hemisphere with a flat top. I need to be able to adjust the radius of the hemisphere. There should be a flat base to keep the device from rolling. This base should be a bit wider than the hemisphere and should attach at its center. In the center of the top flat part, there needs to be a recessed hole to accommodate a screw and nut. I need to be able to parameterize the screw diameter, the nut diameter and the nut depth.

Can you generate the OpenSCAD code for this? I don't need anything fancy or complex, just the basic model and the parametric control as described above. I don't need a library for this, just the core OpenSCAD functionality.

Thanks!

[Assistant]
Ankleboard-uni-axis.scad:
```
r=150; //Radius of Hemisphere
a=10; //Screw Diameter
b=16; //Screw nut Diameter
x=20; //Nut Depth

ankle_board_uni();

module ankle_board_uni(){
difference(){
rotate([90,0,0])cylinder(h=2*r*.9,r=r, center=true, $fn=200);
translate([0,0,(r+5)/-2])cube([r*2.3,r*2.3,r+5],center = true);
translate([0,0,-2])cylinder(r+5,(a+1)/2,(a+1)/2);
translate([0,0,r-(r-x)])hexagon(r+5,(b+1)/2);
}
}

module reg_polygon(sides,radius)
{
  function dia(r) = sqrt(pow(r*2,2)/2);  //sqrt((r*2^2)/2) if only we had an exponention op
  if(sides<2) square([radius,0]);
  if(sides==3) triangle(radius);
  if(sides==4) square([dia(radius),dia(radius)],center=true);
  if(sides>4) circle(r=radius,$fn=sides);
}

module hexagonf(radius)
{
  reg_polygon(6,radius);
}

module hexagon(height,radius)
{
  linear_extrude(height=height) hexagonf(radius);
}

```


[User]
Hey, I'm looking to design a parametric drawer guide bracket in OpenSCAD, and I'd like your help.

Basically, it's a bracket that attaches to the back of a drawer and slides along a guide rail mounted in the cabinet. The bracket needs to have a few key features:

*   **Guide Slot:** It needs a slot to hold the guide rail. This slot will have a specific width and height for the rail, and clearance between the top of the slot and the top of the bracket.
*   **Mounting Fingers:** Above the guide slot, it has "fingers" that grab onto the guide rail, with a specific width between them.
*   **Main Body:** The main body of the bracket needs to have a certain width, height, and depth and be thicker in some areas than others.
*   **Screw Holes:** It'll need screw holes for attaching to the drawer back.

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

*   `guideWidth`: The width of the guide rail it will be holding.
*   `guideHeight`: The height of the guide rail.
*   `guideClearance`: The distance between the top of the guide rail and the top of the drawer slot.
*   `guideMount`: The width of the space between the two "fingers" that grasp the guide rail.
*   `bracketWidth`: The overall width of the bracket.
*   `bracketHeight`: The overall height of the bracket.
*   `bracketDepth`: The overall depth of the bracket.
*   `bracketThickness`: The thickness of some of the bracket components (especially the bottom part that touches the drawer itself.)
*   `screwDiameter`: The diameter of the screw holes for mounting it to the drawer.

I would like the main body of the bracket to be mostly rectangular, with cutouts for the guide rail slot and the mounting fingers. The bottom of the bracket should be sloped up where it attaches to the guide rail mount, and also have supporting buttresses on either side of the center mounting point, with screw holes to attach it to the drawer back.

I'm not using any particular libraries (just vanilla OpenSCAD). I'd appreciate it if you could generate the OpenSCAD code for me.

[Assistant]
drawerguide.scad:
```
//********************************************************************
// Customizable Drawer Guide Bracket
// By James Newton
//********************************************************************

//********************************************************************
//User defined parameters
//********************************************************************
//Width of guide.
guideWidth = 22;

//Height of guide.
guideHeight = 8;

//Distance between guide and ceiling of drawer slot
guideClearance = 6;

//Width of the guide mount or space between the top "fingers" of the bracket.
guideMount = 12;

//Width of Bracket (must be wider than guide)
bracketWidth = 55;

bracketHeight = 45;

bracketDepth = 15;

bracketThickness = 5;

screwDiameter = 4;

//********************************************************************
bracketBelowShelf=(bracketHeight-guideClearance*2-guideHeight);
intersection() {

	// Remove extra material from the "fingers" at the top.
	union() {
		cylinder(h=bracketDepth,r=bracketWidth/2,center=true);
		//but don't take anything off the bottom.
		translate([0,-bracketHeight/2,0])
			cube([bracketWidth,bracketHeight,bracketDepth], center=true);
		}

	difference() {
		//base plate
		cube([bracketWidth,bracketHeight,bracketDepth], center=true);

		// cutout for guide
		translate([0,bracketHeight/2-guideClearance-guideHeight/2,0])
			cube([guideWidth,guideHeight,bracketDepth*2], center=true);

		// cutout for guide mount
		translate([0,bracketHeight/2-guideClearance/2,0])
			cube([guideMount,guideClearance+1,bracketDepth*2], center=true);

		// slope the attachment to the guide holder
		translate([0,-bracketHeight/2,bracketThickness])
		rotate([atan((bracketDepth-bracketThickness)/bracketBelowShelf),0,0])
			cube([bracketWidth+1,bracketHeight*2,bracketDepth], center=true);

		// Remove unneeded material from the attachment, leaving center and side buttresses
		translate([guideClearance/2,-bracketHeight/2,-bracketDepth/2+bracketThickness])
			cube([bracketWidth/2-guideClearance, bracketBelowShelf, bracketDepth]);
		translate([-bracketWidth/2+guideClearance/2,-bracketHeight/2,-bracketDepth/2+bracketThickness])
			cube([bracketWidth/2-guideClearance, bracketBelowShelf, bracketDepth]);

		// Screw holes
		translate([bracketWidth*2/6,-(bracketHeight/2)+(bracketBelowShelf*2/3),0])
			cylinder(h=bracketDepth+1,r=screwDiameter/2,center=true);
		translate([-bracketWidth*2/6,-(bracketHeight/2)+(bracketBelowShelf*2/3),0])
			cylinder(h=bracketDepth+1,r=screwDiameter/2,center=true);
		translate([bracketWidth*1/4,-(bracketHeight/2)+(bracketBelowShelf*1/4),0])
			cylinder(h=bracketDepth+1,r=screwDiameter/2,center=true);
		translate([-bracketWidth*1/4,-(bracketHeight/2)+(bracketBelowShelf*1/4),0])
			cylinder(h=bracketDepth+1,r=screwDiameter/2,center=true);
		}
	}

```