[User]
I'd like to create a customizable 3D maze inside a heart shape. I've seen a few examples online, and I have some specific ideas about how I want to control the design.

The heart itself should be generated using an elliptical shape that's extruded along the z-axis to create a 3D heart. I'd like to control how pointy the tip of the heart is and how much the heart's layers shift as it goes up in z height. I'll need parameters for:

*   `heart_thickness`: Controls the base thickness of the heart's ellipse.
*   `heart_height`: Overall height of the heart.
*   `heart_layer_factor`:  A factor influencing the shift of the heart shape as it extrudes in the z direction.
*   `heart_tip_sharp_factor`: Controls the sharpness of the heart's tip.

Inside the heart, I want to generate a maze. The maze should be constructed from concentric rings, with walls connecting them. I'll need the following parameters for the maze:

*   `maze_cblocks`:  Number of "blocks" or sectors around each ring of the maze.
*   `maze_levels`:  Number of concentric rings (levels) in the maze.
*   `maze_wall_thickness`: Thickness of the walls within the maze.

Finally, I'd like an option to include a simple ring around the middle of the heart shape. The ring should be an arc that wraps most of the way around the heart's width. This should be controlled with a simple "YES" or "NO" parameter:
*   `ring`: Option to include the ring (YES/NO).

So, in summary, I need an OpenSCAD design that will generate a 3D heart-shaped maze with all the above parameters controlling its features. Could you write that for me?

[Assistant]
random_3d_maze_heart.scad:
```
heart_thickness = 15;
heart_height = 30;
heart_layer_factor = 5; // 0 ~ 90
heart_tip_sharp_factor = 5;
maze_cblocks = 6;
maze_levels = 3;
maze_wall_thickness = 1.5;
ring = "YES";

// give a [x, y] point and length. draw a line in the x direction
module x_line(point, length, thickness = 1) {
    offset = thickness / 2;
    translate([point[0] - offset, point[1] - offset, 0])
        square([length + thickness, thickness]);
}

module a_quarter_arc(radius, angle, width = 1) {
    outer = radius + width;
    intersection() {
        difference() {
            offset(r = width) circle(radius, $fn=96);
            circle(radius, $fn=96);
        }
        polygon([[0, 0], [outer, 0], [outer, outer * sin(angle)], [outer * cos(angle), outer * sin(angle)]]);
    }
}

module arc(radius, angles, width = 1) {
    angle_from = angles[0];
    angle_to = angles[1];
    angle_difference = angle_to - angle_from;
    outer = radius + width;
    rotate(angle_from)
        if(angle_difference <= 90) {
            a_quarter_arc(radius, angle_difference, width);
        } else if(angle_difference > 90 && angle_difference <= 180) {
            arc(radius, [0, 90], width);
            rotate(90) a_quarter_arc(radius, angle_difference - 90, width);
        } else if(angle_difference > 180 && angle_difference <= 270) {
            arc(radius, [0, 180], width);
            rotate(180) a_quarter_arc(radius, angle_difference - 180, width);
        } else if(angle_difference > 270 && angle_difference <= 360) {
            arc(radius, [0, 270], width);
            rotate(270) a_quarter_arc(radius, angle_difference - 270, width);
       }
}

/*
 * constants, for clearness
 *
 */

// random directions, for picking up a direction to visit the next block
function PERMUTATION_OF_FOUR() = [
    [1, 2, 3, 4],
    [1, 2, 4, 3],
    [1, 3, 2, 4],
    [1, 3, 4, 2],
    [1, 4, 2, 3],
    [1, 4, 3, 2],
    [2, 1, 3, 4],
    [2, 1, 4, 3],
    [2, 3, 1, 4],
    [2, 3, 4, 1],
    [2, 4, 1, 3],
    [2, 4, 3, 1],
    [3, 1, 2, 4],
    [3, 1, 4, 2],
    [3, 2, 1, 4],
    [3, 2, 4, 1],
    [3, 4, 1, 2],
    [3, 4, 2, 1],
    [4, 1, 2, 3],
    [4, 1, 3, 2],
    [4, 2, 1, 3],
    [4, 2, 3, 1],
    [4, 3, 1, 2],
    [4, 3, 2, 1]
];

function NO_WALL() = 0;
function UP_WALL() = 1;
function RIGHT_WALL() = 2;
function UP_RIGHT_WALL() = 3;

function NOT_VISITED() = 0;
function VISITED() = 1;

/*
 * utilities functions
 *
 */

// comare the equality of [x1, y1] and [x2, y2]
function cord_equals(cord1, cord2) = cord1 == cord2;

// is the point visited?
function not_visited(cord, vs, index = 0) =
    index == len(vs) ? true :
        (cord_equals([vs[index][0], vs[index][1]], cord) && vs[index][2] == 1 ? false :
            not_visited(cord, vs, index + 1));

// pick a direction randomly
function rand_dirs() =
    PERMUTATION_OF_FOUR()[round(rands(0, 24, 1)[0])];

// replace v1 in the vector with v2
function replace(v1, v2, vs) =
    [for(i = [0:len(vs) - 1]) vs[i] == v1 ? v2 : vs[i]];

/*
 * functions for generating a maze vector
 *
 */

// initialize a maze
function init_maze(rows, columns) =
    [
	    for(c = [1 : columns])
	        for(r = [1 : rows])
		        [c, r, 0,  UP_RIGHT_WALL()]
	];

// find a vector in the maze vector
function find(i, j, maze_vector, index = 0) =
    index == len(maze_vector) ? [] : (
        cord_equals([i, j], [maze_vector[index][0], maze_vector[index][1]]) ? maze_vector[index] : find(i, j, maze_vector, index + 1)
    );

////
// NO_WALL = 0;
// UP_WALL = 1;
// RIGHT_WALL = 2;
// UP_RIGHT_WALL = 3;
function delete_right_wall(original_block) =
    original_block == NO_WALL() || original_block == RIGHT_WALL() ? NO_WALL() : UP_WALL();

function delete_up_wall(original_block) =
    (original_block == NO_WALL() || original_block == UP_WALL()) ? NO_WALL() : RIGHT_WALL();

function delete_right_wall_of(vs, is_visited, maze_vector) =
    replace(vs, [vs[0], vs[1] , is_visited, delete_right_wall(vs[3])] ,maze_vector);

function delete_up_wall_of(vs, is_visited, maze_vector) =
    replace(vs, [vs[0], vs[1] , is_visited, delete_up_wall(vs[3])] ,maze_vector);

function go_right(i, j, rows, columns, maze_vector) =
    go_maze(i + 1, j, rows, columns, delete_right_wall_of(find(i, j, maze_vector), VISITED(), maze_vector));

function go_up(i, j, rows, columns, maze_vector) =
    go_maze(i, j - 1, rows, columns, delete_up_wall_of(find(i, j, maze_vector), VISITED(), maze_vector));

function visit(v, maze_vector) =
    replace(v, [v[0], v[1], VISITED(), v[3]], maze_vector);

function go_left(i, j, rows, columns, maze_vector) =
    go_maze(i - 1, j, rows, columns, delete_right_wall_of(find(i - 1, j, maze_vector), NOT_VISITED(), maze_vector));

function go_down(i, j, rows, columns, maze_vector) =
    go_maze(i, j + 1, rows, columns, delete_up_wall_of(find(i, j + 1, maze_vector), NOT_VISITED(), maze_vector));

function go_maze(i, j, rows, columns, maze_vector) =
    look_around(i, j, rand_dirs(), rows, columns, visit(find(i, j, maze_vector), maze_vector));

function look_around(i, j, dirs, rows, columns, maze_vector, index = 0) =
    index == 4 ? maze_vector :
        look_around(
            i, j, dirs,
            rows, columns,
            build_wall(i, j, dirs[index], rows, columns, maze_vector),
            index + 1
        );

function build_wall(i, j, n, rows, columns, maze_vector) =
    n == 1 && i != columns && not_visited([i + 1, j], maze_vector) ? go_right(i, j, rows, columns, maze_vector) : (
        n == 2 && j != 1 && not_visited([i, j - 1], maze_vector) ? go_up(i, j, rows, columns, maze_vector)  : (
            n == 3 && i != 1 && not_visited([i - 1, j], maze_vector) ? go_left(i, j,rows, columns,  maze_vector)  : (
                n == 4 && j != rows && not_visited([i, j + 1], maze_vector) ? go_down(i, j, rows, columns, maze_vector) : maze_vector
            )
        )
    );

// The heart is composed of two semi-circles and two isosceles triangles.
// The triangle's two equal sides have length equals to the double `radius` of the circle.
// That's why the `solid_heart` module is drawn according a `radius` parameter.
module solid_heart(radius, tip_factor) {
    offset_h = 2.2360679774997896964091736687313 * radius / 2 - radius * sin(45);
	tip_radius = radius / tip_factor;

    translate([radius * cos(45), offset_h, 0]) rotate([0, 0, -45])
    hull() {
        circle(radius, $fn = 96);
		translate([radius - tip_radius, -radius * 2 + tip_radius, 0])
		    circle(tip_radius, center = true, $fn = 96);
	}

	translate([-radius * cos(45), offset_h, 0]) rotate([0, 0, 45]) hull() {
        circle(radius, $fn = 96);
		translate([-radius + tip_radius, -radius * 2 + tip_radius, 0])
		    circle(tip_radius, center = true, $fn = 96);
	}
}

module ring_heart(radius, tip_factor, thickness) {
    difference() {
	    offset(delta = thickness) solid_heart(radius, tip_factor);
        solid_heart(radius, tip_factor);
	}
}

module ring_heart_sector(radius, angle, tip_factor, thickness, width) {
	intersection() {
		ring_heart(radius - 0.1, tip_factor, thickness + 0.2);
		rotate([0, 0, angle]) x_line([0, 0], radius * 3, thickness, width);
	}
}

module heart_to_heart_wall(radius, length, angle, tip_factor, thickness) {
    intersection() {
        difference() {
            solid_heart(radius + length, tip_factor);
		    solid_heart(radius, tip_factor);
	    }
	    rotate([0, 0, angle])
		    x_line([0, 0], (radius + length) * 2, thickness);
	}
}

module heart_maze(radius, cblocks, levels, tip_factor, height = 1, thickness = 1) {
    full_circle_angle = 360;
    arc_angle = full_circle_angle / cblocks;
	r = radius / (levels + 1);

	maze = go_maze(1, 1, cblocks, levels, replace([levels, cblocks - 1, 0, UP_RIGHT_WALL()], [levels, cblocks - 1, 0, UP_WALL()], init_maze(cblocks, levels)));

	difference() {
		linear_extrude(height) union() {
			for(i = [1 : levels + 1]) {
				ring_heart(r * i, tip_factor, thickness);
			}

			for(i = [0:len(maze) - 1]) {
				cord = maze[i];
				cr = cord[0];
				cc = cord[1] - 1;
				v = cord[3];

				angle = cc * arc_angle;

				if(v == 1 || v == 3) {
					heart_to_heart_wall(r * cr, r, cc * arc_angle + 90, tip_factor, thickness);
				}
			}
	    }

		linear_extrude(height) union() {
		    // maze entry
		    ring_heart_sector(r, 1.5 * arc_angle + 90, tip_factor, thickness, r - thickness / 2 );

	        // road to the next level
			for(i = [0:len(maze) - 1]) {
				cord = maze[i];
				cr = cord[0];
				cc = cord[1] - 1;
				v = cord[3];

				if(v == 0 || v == 1) {
					ring_heart_sector(r * (cr + 1), (cc + 0.5) * arc_angle + 90, tip_factor, thickness, r - thickness / 2 );
				}
			}
		}
	}
}

function eclipse_y(inner_r, angle) = inner_r * cos(angle);
function eclipse_z(outer_r, angle) = outer_r * sin(angle);

module eclipse_heart_one_side(ellipse_inner_r, ellipse_outer_r, step, tip_factor) {
	for(angle = [0 : step : 90]) {
		heart_height = eclipse_y(ellipse_outer_r, angle) ;
		prev_heart_thickness = angle == 0 ? 0 : eclipse_z(ellipse_inner_r, angle - step);

		linear_height = eclipse_z(ellipse_inner_r, angle) - prev_heart_thickness;
		linear_scale = eclipse_y(ellipse_outer_r, angle + step) / heart_height;

		translate([0, 0, prev_heart_thickness])
			linear_extrude(linear_height, scale = linear_scale)
				solid_heart(heart_height, tip_factor);
	}
}

module eclipse_heart(ellipse_inner_r, ellipse_outer_r, step, tip_factor) {
	eclipse_heart_one_side(ellipse_inner_r, ellipse_outer_r, step, tip_factor);
	mirror([0, 0, 1]) eclipse_heart_one_side(ellipse_inner_r, ellipse_outer_r, step, tip_factor);
}

module random_3d_maze_heart(heart_thickness, heart_height, heart_layer_factor, heart_tip_sharp_factor, maze_cblocks, maze_levels, maze_wall_thickness) {
	intersection() {
		eclipse_heart(heart_thickness / 2, heart_height / 3.12, heart_layer_factor, heart_tip_sharp_factor);
		translate([0, 0, -heart_height / 2])
			heart_maze(eclipse_y(heart_height / 3.12 - maze_wall_thickness, 0) , maze_cblocks, maze_levels, heart_tip_sharp_factor, heart_height, maze_wall_thickness);
	}
}

random_3d_maze_heart(heart_thickness, heart_height, heart_layer_factor, heart_tip_sharp_factor, maze_cblocks, maze_levels, maze_wall_thickness);

if(ring == "YES") {
	translate([0, heart_height / 3.12 - maze_wall_thickness * 1.25, -heart_thickness / 10])
	    linear_extrude(heart_thickness / 5)
			arc(heart_height / 3.12 / 2, [45, 135], maze_wall_thickness);
}

```


[User]
Okay, so I'm trying to make some 3D printable icons based on a set of parametric equations. I've been playing around with some code, and I'd really like to have a more flexible and robust setup, maybe even a library of sorts that I can easily reuse. The equations I'm using are these:

    x = cos(a*t) - pow(cos(b*t),j)
    y = sin(c*t) - pow(sin(d*t),k)

Basically, these equations produce curves when you plot them for different values of `a`, `b`, `c`, `d`, `j`, and `k`. My current code extrudes those 2D curves into 3D objects to make icons.

I'm envisioning a setup where I can:

1.  Easily define the parameters `a`, `b`, `c`, `d`, `j`, and `k`, including using fractional values.
2.  Set the number of cycles to complete the graph (important for fractional `a`-`d`).
3.  Control scaling along x, y, and z axes, and also the thickness of the extruded line.
4.  Generate a 3D printable object from the equations, using `linear_extrude` or something similar.
5. Ideally, I'd like to have a module or function that I can call with those parameters to generate different icons easily.
6. I'd like to generate this icon with the hull function as I can generate nice smooth shapes.

I saw someone online call this set of equations a kind of "Lissajous curve modification," but that doesn't feel quite right. If you happen to know a better name for this family of curves, I'd appreciate that too!

I'm not using any special libraries right now, but I’d like the system to be self-contained so I don't have to use another source file like I am now.

Could you write an OpenSCAD file or files that achieve all of this? I’m really trying to make this easier to work with, and your help would be greatly appreciated.

[Assistant]
paraicon.scad:
```
/*parameters in the equations

    x = cos(a*t) - pow(cos(b*t),j)
    y = sin(c*t) - pow(sin(d*t),k)

*/

a=1;
b=3;
c=3;
d=2;
j=5;
k=6;
cycles=1;

// scaling
scale_x=15;
scale_y=15;
height=10;
thickness=2;

function hadamard(a,b) =
       len(a)==len(b)
           ?  [for (i=[0:len(a)-1]) a[i]*b[i]]
           :  [];

module line(p1,p2,thickness=0.5) {
    linear_extrude(p1.z)
      hull() {
        translate(p1) circle(d=thickness);
        translate(p2) circle(d=thickness);
     }
}

module graph(fn,min,max,step,scale=[1,1,1],thickness=0.5) {
   linear_extrude(scale.z)
   for(t = [min:step:max-step]) {
      hull() {
          translate(hadamard(f(fn,t),scale)) circle(d=thickness);
          translate(hadamard(f(fn,t+step),scale)) circle(d=thickness);
      }
  }
}

// see https://en.wikipedia.org/wiki/Parametric_equation

function f(fn,t) =
   fn==1 ?  [cos(a*t) - pow(cos(b*t),j),
             sin(c*t) - pow(sin(d*t),k),
             0]
   : 0 ;

graph(1,0,cycles*360,1,scale=[scale_x,scale_y,height],thickness=thickness);
```


[User]
I'm looking to create a parametric design for an extruder upper block for a Deltaprintr, and I'd like it to be fully customizable via OpenSCAD. I need to incorporate a threaded hole for a screw-based spring tensioning mechanism, using the trapezoidal thread design from the `syvwlch` screw library (which I'm not including, but it's available on Thingiverse).

Here's the breakdown of the design I'm envisioning:

**Overall Structure:**

*   The block should have a base with a customizable height (`Base_size`).
*   There should be a spring standoff section with a customizable height (`Spring_Standoff_Height`). This part of the block should be a simple rectangular extrusion attached to the base.
*   It needs mounting holes, a filament hole and a pulley hole.

**Holes & Pulley:**

*   A hole for the filament needs to be defined with a customizable diameter (`Filament_Hole`).
*   There needs to be a hole for mounting the extruder, also with a customizable diameter (`Extruder_Mount_Hole_diameter`).
*   The Pulley needs to be defined by its diameter (`Pulley_Diameter`) and height (`Pulley_Height`). There should also be a hole for the pulley screw with a customizable diameter (`Pulley_Screw_Diameter`).

**Thread:**

*   The spring tensioning mechanism should utilize a trapezoidal thread defined in `syvwlch`'s library (I am using *only* the trapezoidal thread definition - other thread types will not be used).
*   The thread should have a customizable pitch (`Pitch`).

**Screw:**

*   The screw should be defined by its head height (`Head_Height`), head diameter (`Head_Diameter`), number of head edges (`Head_Edges`), overall length (`Screw_Length`), and a scale factor (`Screw_Scale`) to compensate for manufacturing tolerances on 3D printers.

**Parametric Design:**

*   All of the parameters mentioned above must be easily modifiable within the OpenSCAD code. The user should not have to manually adjust anything.
*   The design should be well-commented and easily understood for other users.

**Modules Required:**

*   I'll need a module to create the base shape called `block()`. This module should call all the other modules for generating the individual parts.
    *   Inside block(), I need the module `base()` to create the base shape and the spring standoff
    *   The base shape is defined by a 2D polygon defined in `sketch()` that is then linearly extruded.
    *   Then I need `holes()` to create the filament hole, mounting hole and pulley screw hole.
    *   I need `pulley()` for the pulley structure.
    *   I need `springthread()` for the threaded hole using the trapezoidal thread.
*   I need a module named `thread()` that implements the thread geometry utilizing the trapezoidal thread library.
*   I need a module `screw()` that generates the screw with a body module `screwbody()` and a head module `screwhead()`

Can you generate the OpenSCAD files for this?

[Assistant]
Deltaprintr_Extruder_upper_Block_threaded.scad:
```
/// Extruder Upper Block for Deltaprintr

/* [Base] */
 Base_size = 20;                    // height of the complete extruder upper Block
 Spring_Standoff_Height = 2;        // height of springstandoff
/* [Holes and Pulley] */
 Filament_Hole = 3;                 // diameter of filamenthole
 Extruder_Mount_Hole_diameter = 4;  // diameter of extrudermountscrew
 Pulley_Diameter = 12;              // diameter of Pulley
 Pulley_Screw_Diameter = 2.9;       // diameter of pulleyscrewhole
 Pulley_Height = 2.5;               // height of Pulley

/* [Thread] */
/// Screwlibary from syvwlch  http://www.thingiverse.com/syvwlch/about
 Pitch = 5;

/* [Screw] */
 Head_Height = 10;                   // screwhead height
 Head_Diameter= 20;                  // diameter of screwhead
 Head_Edges = 6;                     // screwheadedges
 Screw_Length = 30;                  // screwlength
 Screw_Scale  = 0.95;                // Scale the screw to better fit into thread

/* [Hidden] */
//Parameters for OpenScad
 h = Base_size;
 d1 = Extruder_Mount_Hole_diameter;
 d2 = Pulley_Screw_Diameter;
 d3 = Pulley_Diameter;
 d4 = Head_Diameter;
 h1 = Pulley_Height;
 h2 = Spring_Standoff_Height;
 filhole = Filament_Hole;

 edges = Head_Edges;
 screwlength = Screw_Length;
 screwpitch = Pitch;   //Pitch of thread
 screwradius = Pitch +0.5; //Radius of outer pitch
 headheigth = Head_Height;
 screwscale = Screw_Scale;

 ///////////////
 ///Render//////
 ///////////////
 block();
 screw();

 //modules
 module block(){
     translate ([0,0,19.7])
     rotate ([-90,0,0])
     difference() {
     base();
     holes();
     pulley();
     springthread();
 }}
 module base() {       //basesketch
     linear_extrude(height = h)
     translate ([105,148,0])sketch();
     translate ([-23,4.13,0]) rotate ([90,0,0]) linear_extrude(h2) square([16,h],0);
 };
 module sketch() {  //basesketch
  polygon(points=
    [[-135.499, -144.368], [-128.324, -144.368], [-121.149, -144.368], [-113.974, -144.368], [-106.799, -144.368], [-103.888, -146.283], [-101.452, -148.725], [-99.560, -151.609], [-98.281, -154.851], [-97.545, -156.286], [-96.355, -157.289], [-94.874, -157.768], [-93.267, -157.632], [-90.873, -156.649], [-88.758, -155.208], [-86.983, -153.363], [-85.614, -151.168], [-85.347, -150.530], [-85.155, -149.868], [-85.039, -149.189], [-84.999, -148.499], [-84.999, -145.966], [-84.999, -143.433], [-84.999, -140.901], [-84.999, -138.368], [-85.785, -134.476], [-87.928, -131.297], [-91.107, -129.154], [-94.999, -128.368], [-105.124, -128.368], [-115.249, -128.368], [-125.374, -128.368], [-135.499, -128.368], [-138.612, -128.997], [-141.155, -130.712], [-142.869, -133.254], [-143.497, -136.368], [-142.869, -139.482], [-141.155, -142.024], [-138.612, -143.739]]
    , paths=
    [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 0, 0, 0]]
    );}
 module holes(){       //holes
     translate ([15.15,10.3,-1]) cylinder(h+2,d1/2,d1/2,$fn=10);
     translate ([10.6,-5.26,-1]) cylinder(h+2,d2/2,d2/2,$fn=10);
     rotate([90,0,0]) translate ([4.5,h/2,-25]) cylinder(30,filhole/2,filhole/2,$fn=10);
     }

 module pulley(){      //Pulley
     translate ([10.6,-5.26,h/2-h1]) cylinder(h1*2,d3/2,d3/2);

 }

 module springthread (){    //Springtrhe
    translate ([-9,10,h/2]) rotate([90,0,0,]) thread();
}

 module thread(){       //Thread
length=screwlength;
pitch=screwpitch;
pitchRadius=screwradius;

translate([-pitchRadius,0,-length/2])

     trapezoidThread(
	length=length, 			// axial length of the threaded rod
	pitch=pitch, 			// axial distance from crest to crest
	pitchRadius=pitchRadius, 	// radial distance from center to mid-profile
	threadHeightToPitch=0.2, 	// ratio between the height of the profile and the pitch
						// std value for Acme or metric lead screw is 0.5
	profileRatio=0.5, 			// ratio between the lengths of the raised part of the profile and the pitch
						// std value for Acme or metric lead screw is 0.5
	threadAngle=30,			// angle between the two faces of the thread
						// std value for Acme is 29 or for metric lead screw is 30
	RH=true, 				// true/false the thread winds clockwise looking along shaft, i.e.follows the Right Hand Rule
	clearance=0.1, 			// radial clearance, normalized to thread height
	backlash=0.1, 			// axial clearance, normalized to pitch
	stepsPerTurn=24 			// number of slices to create per turn
		);
    }

 posx = -50;
 posy = 10;
 posz = screwlength /2;

 module screwbody(){
    translate ([posx,posy,posz]) thread();
}
 module screwhead(){
    translate ([posx-screwradius,posy,posz*2+1]) linear_extrude(headheigth)circle (r= d4/2, $fn= edges);
}
 module screw(){
translate([-10,20,screwscale*(screwlength+headheigth+1.4)]) rotate([180,0,0]) scale(screwscale)
union(){
screwbody();
screwhead();}
}

///////////////////////////
/////////thread libary/////
///////////////////////////

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

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

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

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

	polyhedron( polyPoints, polyTriangles );
}

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

	threadAngleTop=15;
	threadAngleBottom=-15;

	shaftRatio=0.5;

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

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

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

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

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

	numberTurns=length/pitch;

	steps=stepsPerTurn*numberTurns;

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

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

	function 	threadHeight(i)=		pitch*threadHeightToPitch;

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

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

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

	// this is the threaded rod

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

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

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

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

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

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

	translate([0,0,-countersunk*pitch])
	cylinder(
		h=2*countersunk*pitch,
		r2=pitchRadius+clearance*pitch+0.25*pitch,
		r1=pitchRadius+clearance*pitch+0.25*pitch+2*countersunk*pitch,
		$fn=24
			);

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

	translate([0,0,length-countersunk*pitch])
	cylinder(
		h=2*countersunk*pitch,
		r1=pitchRadius+clearance*pitch+0.25*pitch,
		r2=pitchRadius+clearance*pitch+0.25*pitch+2*countersunk*pitch,$fn=24,
		$fn=24
			);
}

module trapezoidNut(
	length=45,				// axial length of the threaded rod
	radius=25,				// outer radius of the nut
	pitch=10,				// axial distance from crest to crest
	pitchRadius=10,			// radial distance from center to mid-profile
	threadHeightToPitch=0.5,	// ratio between the height of the profile and the pitch
						// std value for Acme or metric lead screw is 0.5
	profileRatio=0.5,			// ratio between the lengths of the raised part of the profile and the pitch
						// std value for Acme or metric lead screw is 0.5
	threadAngle=30,			// angle between the two faces of the thread
						// std value for Acme is 29 or for metric lead screw is 30
	RH=true,				// true/false the thread winds clockwise looking along shaft, i.e.follows the Right Hand Rule
	countersunk=0,			// depth of 45 degree chamfered entries, normalized to pitch
	clearance=0.1,			// radial clearance, normalized to thread height
	backlash=0.1,			// axial clearance, normalized to pitch
	stepsPerTurn=24			// number of slices to create per turn
		)
{
	difference()
	{
		cylinder(
			h=length,
			r1=radius,
			r2=radius,
			$fn=6
				);

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


[User]
I'd like to be able to generate customized keychains with room numbers on them. I need a way to specify the room number and the room name, and I'd like to choose between two styles of text: either embossed on the surface, or cut out from the surface. I'd also like to specify the overall size of the keychain (small, medium, or large), and the height/thickness of the keychain. Please use the text rendering code provided; I don't need any new font libraries. I want to generate SCAD files.

I think that should cover it. Let me know if you need any clarification.

[Assistant]
thing1379622_roomnumber-keychain-customizable.scad:
```
//#
//#  thing1379622_roomnumber-keychain-customizable.scad
//#  http://www.thingiverse.com/thing:1379622
//#
//#  2016-02-29  V0.1 prototype
//#  2016-02-29  V0.2 dynamic scale, inner font

//###  parameter  ###

room_text = "Room";
room_number = "101";
keychain_height = 6; // [2:3:18]
keychain_size = 1.0; // [0.5:Small,1.0:Medium,1.5:Large]
font_style = "outer"; // [outer,inner]

//###  parts  ###

scale(keychain_size) print_part();

module print_part() {
  text_scale = 4/len(room_text);
  number_scale = 3/len(room_number);
  if (font_style == "inner") {
      difference() {
          scale([2,1,1])
            translate([10/2,10/2,0])
            cylinder(keychain_height,10,10);
          union () {
              color("red")
                translate([4.0,-0.7,keychain_height/3*2])
                scale([1.1*number_scale,1.0,keychain_height/3*1])
                lib_drawtext(room_number);
              color("red")
                translate([4.0,8,keychain_height/3*2])
                scale([0.7*text_scale,0.5,keychain_height/3*1])
                lib_drawtext(room_text);
              color("green")
                translate([-3/2,5,0])
                cylinder(keychain_height,3,3);
          }
      }
  } else {
      difference() {
          union () {
              scale([2,1,1])
                translate([10/2,10/2,0])
                cylinder(keychain_height/3*2,10,10);
              color("red")
                translate([4.0,-0.7,keychain_height/3*2])
                scale([1.1*number_scale,1.0,keychain_height/3*1])
                lib_drawtext(room_number);
              color("red")
                translate([4.0,8,keychain_height/3*2])
                scale([0.7*text_scale,0.5,keychain_height/3*1])
                lib_drawtext(room_text);
          }
          color("green")
            translate([-3/2,5,0])
            cylinder(keychain_height/3*2,3,3);
      }
  }
}

//###  libraries  ###

module lib_drawtext(text) {

  //
  //  OpenSCAD 3D Text Generator
  //  http://www.thingiverse.com/thing:59817
  //
  //  Copyright (c) by pgreenland, published  Mar 10, 2013
  //  Licensed under the Creative Commons - Attribution - Share Alike license.
  //

  //Characters
  chars = " !\"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\\]^_`abcdefghijklmnopqrstuvwxyz{|}";

  //Chracter table defining 5x7 characters
  //Adapted from: http://www.geocities.com/dinceraydin/djlcdsim/chartable.js
  char_table = [ [ 0, 0, 0, 0, 0, 0, 0],
                 [ 4, 0, 4, 4, 4, 4, 4],
                 [ 0, 0, 0, 0,10,10,10],
                 [10,10,31,10,31,10,10],
                 [ 4,30, 5,14,20,15, 4],
                 [ 3,19, 8, 4, 2,25,24],
                 [13,18,21, 8,20,18,12],
                 [ 0, 0, 0, 0, 8, 4,12],
                 [ 2, 4, 8, 8, 8, 4, 2],
                 [ 8, 4, 2, 2, 2, 4, 8],
                 [ 0, 4,21,14,21, 4, 0],
                 [ 0, 4, 4,31, 4, 4, 0],
                 [ 8, 4,12, 0, 0, 0, 0],
                 [ 0, 0, 0,31, 0, 0, 0],
                 [12,12, 0, 0, 0, 0, 0],
                 [ 0,16, 8, 4, 2, 1, 0],
                 [14,17,25,21,19,17,14],
                 [14, 4, 4, 4, 4,12, 4],
                 [31, 8, 4, 2, 1,17,14],
                 [14,17, 1, 2, 4, 2,31],
                 [ 2, 2,31,18,10, 6, 2],
                 [14,17, 1, 1,30,16,31],
                 [14,17,17,30,16, 8, 6],
                 [ 8, 8, 8, 4, 2, 1,31],
                 [14,17,17,14,17,17,14],
                 [12, 2, 1,15,17,17,14],
                 [ 0,12,12, 0,12,12, 0],
                 [ 8, 4,12, 0,12,12, 0],
                 [ 2, 4, 8,16, 8, 4, 2],
                 [ 0, 0,31, 0,31, 0, 0],
                 [16, 8, 4, 2, 4, 8,16],
                 [ 4, 0, 4, 2, 1,17,14],
                 [14,21,21,13, 1,17,14],
                 [17,17,31,17,17,17,14],
                 [30,17,17,30,17,17,30],
                 [14,17,16,16,16,17,14],
                 [30,17,17,17,17,17,30],
                 [31,16,16,30,16,16,31],
                 [16,16,16,30,16,16,31],
                 [15,17,17,23,16,17,14],
                 [17,17,17,31,17,17,17],
                 [14, 4, 4, 4, 4, 4,14],
                 [12,18, 2, 2, 2, 2, 7],
                 [17,18,20,24,20,18,17],
                 [31,16,16,16,16,16,16],
                 [17,17,17,21,21,27,17],
                 [17,17,19,21,25,17,17],
                 [14,17,17,17,17,17,14],
                 [16,16,16,30,17,17,30],
                 [13,18,21,17,17,17,14],
                 [17,18,20,30,17,17,30],
                 [30, 1, 1,14,16,16,15],
                 [ 4, 4, 4, 4, 4, 4,31],
                 [14,17,17,17,17,17,17],
                 [ 4,10,17,17,17,17,17],
                 [10,21,21,21,17,17,17],
                 [17,17,10, 4,10,17,17],
                 [ 4, 4, 4,10,17,17,17],
                 [31,16, 8, 4, 2, 1,31],
                 [14, 8, 8, 8, 8, 8,14],
                 [ 0, 1, 2, 4, 8,16, 0],
                 [14, 2, 2, 2, 2, 2,14],
                 [ 0, 0, 0, 0,17,10, 4],
                 [31, 0, 0, 0, 0, 0, 0],
                 [ 0, 0, 0, 0, 2, 4, 8],
                 [15,17,15, 1,14, 0, 0],
                 [30,17,17,25,22,16,16],
                 [14,17,16,16,14, 0, 0],
                 [15,17,17,19,13, 1, 1],
                 [14,16,31,17,14, 0, 0],
                 [ 8, 8, 8,28, 8, 9, 6],
                 [14, 1,15,17,15, 0, 0],
                 [17,17,17,25,22,16,16],
                 [14, 4, 4, 4,12, 0, 4],
                 [12,18, 2, 2, 2, 6, 2],
                 [18,20,24,20,18,16,16],
                 [14, 4, 4, 4, 4, 4,12],
                 [17,17,21,21,26, 0, 0],
                 [17,17,17,25,22, 0, 0],
                 [14,17,17,17,14, 0, 0],
                 [16,16,30,17,30, 0, 0],
                 [ 1, 1,15,19,13, 0, 0],
                 [16,16,16,25,22, 0, 0],
                 [30, 1,14,16,15, 0, 0],
                 [ 6, 9, 8, 8,28, 8, 8],
                 [13,19,17,17,17, 0, 0],
                 [ 4,10,17,17,17, 0, 0],
                 [10,21,21,17,17, 0, 0],
                 [17,10, 4,10,17, 0, 0],
                 [14, 1,15,17,17, 0, 0],
                 [31, 8, 4, 2,31, 0, 0],
                 [ 2, 4, 4, 8, 4, 4, 2],
                 [ 4, 4, 4, 4, 4, 4, 4],
                 [ 8, 4, 4, 2, 4, 4, 8] ];

  //Binary decode table
  dec_table = [ "00000", "00001", "00010", "00011", "00100", "00101",
                "00110", "00111", "01000", "01001", "01010", "01011",
                "01100", "01101", "01110", "01111", "10000", "10001",
                "10010", "10011", "10100", "10101", "10110", "10111",
                "11000", "11001", "11010", "11011", "11100", "11101",
                "11110", "11111" ];

  //Process string one character at a time
  for(itext = [0:len(text)-1]) {
    //Convert character to index
    ichar = search(text[itext],chars,1)[0];

    //Decode character - rows
    for(irow = [0:6]) {
      //Select value to draw from table
      val = dec_table[char_table[ichar][irow]];

      //Decode character - cols
      for(icol = [0:4]) {
        // Retrieve bit to draw
        bit = search(val[icol],"01",1)[0];

        if(bit) {
            //Output cube
            translate([icol + (6*itext), irow, 0])
                cube([1.0001,1.0001,1]);
        }
      }
    }
  }
}
```


[User]
Hey there! I'm looking to design a parametric tablet stand, and I'd like some help generating the OpenSCAD files. I have an example that I like, but I need it to be created from scratch.

The basic idea is a curved, elliptical base with a cutout that creates a tilted lip to hold the tablet. I'd like to be able to easily adjust the stand for different tablet sizes, so it needs to be fully parametric.

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

*   **`x`**: Height of the tablet.
*   **`y`**: Width of the tablet.
*   **`z`**: Thickness of the tablet.
*   **`w`**: Width of the base (which is related to tablet height, probably `x/2.1` in the example I have, but I'd like to be able to specify it exactly too).
*   **`t`**: Thickness of the stand itself.
*   **`e`**: Radius of the edge fillets (rounding).
*   **`p`**: Thickness of the support pad (where the tablet rests on).
*   **`a`**: Angle of the pad/tablet tilt.

The base shape should start as a cylinder that's been scaled along the x-axis to make it elliptical, and then have another cylinder subtracted from it to create the overall thickness. Then, a large cube should subtract from the base in the z-axis to form the flat part of the stand. It needs a fairly high `$fn` value so the curves are smooth.

The cutout section should be angled and then shifted in place using the `a` parameter, creating the angled support. It also needs to have a cutout to create space so the tablet can be placed and removed easily.

I want to use a `minkowski` operation to create the rounded edges.

Could you generate the SCAD files for this design using those parameters? I'm not really sure about using the existing files I found as a base, as they might not be the best way to implement it.

Also, could you include a "dummy" cube to visualize where the tablet will sit, like in the example I had? It should rotate, translate, and have its parameters set so I can see the expected tablet positioning before rendering the final design. Just make sure that the dummy cube is commented out when I don't need it.

[Assistant]
tabletstand.scad:
```
//iPad Retina
x=242;	//height of tablet
y=186;	//width of tablet
z=9.5;		//thickness of tablet

//iPad2
x=242;	//height of tablet
y=186;	//width of tablet
z=9;		//thickness of tablet

/*
//Xperia Tablet Z
x=266;	//height of tablet
y=172;	//width of tablet
z=7;		//thickness of tablet
*/

w=x/2.1;	//width
t=5;	//thickness of stand
e=2;	//edge radius
p=z*1.4;	//pad thickness
a=30;	//pad angle

//----------
te=t-e;	//thickness without edge radius
r=w/2;

module base(){
		difference(){
			scale([2,1,1])	cylinder(h=w*2.5,r=r, $fn=64);
			translate([-t,0,-1]) scale([2,1,1]) cylinder(h=w*2.5+2,r=r-t, $fn=64);
			translate([0,-w,-1])	cube([w*3,w*2,w*3]);
		}
}

module cut(){
	translate([w/20,-w,0]) 	rotate([0,-a,0])	{
		cube([w*3,w*2,w*3]);
		translate([-p-t,0,p*3.5]) cube([w*3,w*2,w*3]);
		translate([-p-t-e*3,0,p*2.5+1])	cube([p+e,w*2,w*3]);
	}
}

module stand(){
	minkowski(){
		sphere(e);
		difference(){
			base();
			cut();
		}
	}
}

//pad dummy
% rotate([0,0,180]) translate([-p*2-t,-y/2,p+t]) rotate([0,-a,0]) cube([z,y,x]);

rotate([0,0,180]) stand();
```


[User]
Hi there, I'm looking for an OpenSCAD design for a solderless wire termination block that uses pin headers. I want to be able to customize it for different pin counts and row configurations.

Essentially, I need a rectangular block with holes for standard pin headers. The design should have parameters for the number of pins in a row, the number of rows (either 1 or 2), and the distance between the rows. There also needs to be parameters for the size of the pin header holes and for the offset of the pin headers from the edges of the block.

Additionally, there needs to be a second set of holes for the wires to connect to the pin headers, which should be slightly offset vertically from the pin header holes.  I'd also like parameters for that wire hole offset, and the size of the wire holes.  I want the wire holes to run from the bottom up to a specific height so a wire could be fed from the bottom of the block into a pin header.

I'm envisioning a design where I can easily specify things like:

*   `number_of_pins`: The number of pins in a single row (e.g., 12, 20, etc.).
*   `rows`: The number of rows of pins, either 1 or 2.
*   `row_distance`: The distance between the rows of pins.
*   `pin_hole_dim`: The size of the square holes for the pin headers.
*   `pin_offset`: The spacing between individual pins in a row (usually 2.54mm).
*   `x_offset_from_edge`: The distance of the first pin from the left edge of the block.
*   `y_offset_from_edge`: The distance of the first pin from the front edge of the block.
*   `z_offset_from_edge`: The vertical offset of the wire holes from the bottom of the block.

I don't need any fancy features, just a solid, customizable base block with holes. Could you generate the OpenSCAD code for this?

[Assistant]
Wire_termination_V2.scad:
```
// CHANGABLE PARAMETERS
// Cube dimensions (height is fixed = 6.5mm)

/*[Input Data]*/
// Number of pins in one row
number_of_pins = 12;           // [1:1:40]
// Number of rows (1 or 2)
rows = 2;                       // [1,2]

// whichever suits you (for Arduino Micro is 15.24)
row_distance = 15.24;
// square length and width (depends on printer accuracy)
pin_hole_dim = 1.20; 		    // [1:0.05:1.50]

// OPTIONALLY CHANGABLE PARAMETERS
// offset between pins (usually 2.54mm)
pin_offset = 2.54;

// pin distance from edge of adapter
x_offset_from_edge = 2;
// pin distance from edge of adapter
y_offset_from_edge = 1.8;
// wire hole offset from bottom edge
z_offset_from_edge = 0.5;  // [0.5:0.1:1.0]

/* [Hidden] */
// FIXED OR COMPUTED PARAMETERS
length = (2 * x_offset_from_edge) + ((number_of_pins - 1) * pin_offset) + pin_hole_dim;
width = (2 * y_offset_from_edge) + pin_hole_dim + (rows - 1) * row_distance;

// Draw object
draw(number_of_pins, rows, row_distance, pin_hole_dim, pin_offset, x_offset_from_edge, y_offset_from_edge, z_offset_from_edge, length, width);

// Definition of the module
module draw (npin, nrow, rowdist, pindim, pinoff, xoff, yoff, zoff, nlength, nwidth){
    render(convexity = 2)
    difference(){
        cube([nlength, nwidth, 6.5]);

        // cut holes for pins
        for(i = [0:pinoff:(npin - 1) * pinoff]){
            for(j = [0:rowdist:(nrow - 1) * rowdist]){
                translate([xoff + i, yoff + j, 0])
                cube([pindim, pindim, 6.5]);
                //color("cyan");
            }
        }

        // cut holes for wires
        for(i = [0:pinoff:(npin - 1) * pinoff]){
            for(j = [0:rowdist:(nrow - 1) * rowdist]){
                translate([xoff + i, j, z_offset_from_edge])   // if connection with wire is loose, insreace distance from 0.5 to (not more than) 1mm
                cube([pindim, 2 * yoff + pindim, pindim]);
                //color("red");
            }
        }
    }
};
```


[User]
I'm looking to create a parametric Y-axis belt clamp for a 3D printer, similar to the one shown in the link I included: http://www.thingiverse.com/thing:643799. I've designed a basic version, but I'd like it to be more flexible and easier to customize.

Essentially, the design needs to consist of two main parts: a base platform that mounts to the Y-carriage and a belt clamp that attaches to that platform. The belt clamp should be able to securely hold the timing belt using a loop-back method, again, similar to the one in the link. This loop will be attached to a frame.

Here's what I'd like to be customizable:

1.  **Platform Height:** I need to adjust the height of the platform to match different printer setups. This is the distance from the top of the Y-carriage to the desired height of the belt loop.
2.  **Platform Length and Width:** The platform should be adjustable to accommodate different Y-carriage sizes. I don't need to be able to change the holes that hold the mounting screws, those can be kept at a fixed position, but I need the plate to be variable in length and width.
3.  **Belt Loop Dimensions:** The inner loop for the belt should be able to be adjusted. This would allow us to accommodate different belt sizes or tolerances between different makes/models. The size of the loop itself, rather than just its placement.
4.  **Clamp Frame Thickness:** The frame that holds the belt loop should have an adjustable thickness.
5.  **Screw Hole Diameters:** I need to be able to adjust the diameter of the screw holes for mounting the base platform.

Could you generate an OpenSCAD file (or files) that implements this? I'd prefer to use the BOSL2 library if possible.

[Assistant]
yBeltClamp.scad:
```
$fn=32 * 4;

platformHeight = 15.5; //clearance between y carriage and belt. Default 15.5mm fits for my Prusa i3.

module beltClamp(){
    module frame(){
        hull(){
            translate([7,8,0]) rotate([0,0,30]) cylinder(10,8,8,$fn=6);
            translate([31,8,0]) rotate([0,0,30]) cylinder(10,8,8,$fn=6);
        }
    }
    module beltLoop(){
        difference(){
            hull(){
                translate([6.5,1,0]) cylinder(h = 12, r1 = 1, r2 = 1);
                translate([13.5,5.5,0]) cylinder(h = 12, r1 = 5.5, r2 = 5.5);
            }
            hull(){
                translate([9,2.5,0]) cylinder(h = 12, r1 = 1, r2 = 1);
                translate([13.5,5.5,0]) cylinder(h = 12, r1 = 4, r2 = 4);
            }
        }
        cube([8,2,12]);
    }
    module beltOpening(){
        beltLoop();
        translate([38,0,0]) mirror(1,0,0) beltLoop();
        translate([17.5,2.5,0]) cube([3,8,12]);
        translate([19,7,0]) rotate([0,0,45]) cube([4,4,12]);
    }
    difference(){
        frame();
        translate([0,6.5,3]) beltOpening();
        }
}
module platform(){
    translate([8.5,0,-0]) cube([33,platformHeight,10]);
    difference(){
        translate([0,0,0]) cube([50,4,10]);
        translate([4.5,0,6]) rotate([-90,0,0]) cylinder(h=30, r=1.7, $fn=10);
        translate([45.5,0,6]) rotate([-90,0,0]) cylinder(h=30, r=1.7, $fn=10);
    }
}
translate([6,platformHeight-6.5,0]) beltClamp();
platform();

```


[User]
I need a small fixture designed in OpenSCAD to prevent my 3D printer's hotend from shifting out of place during prints. It's for a Deltaprintr, and I've already got the basic dimensions and a few extra features I'd like to include.

The main body of the fixture will have two cylindrical sections. The lower section should have a height of 10mm and a diameter of 16mm, but it needs to taper slightly inwards towards the top, with the top diameter being 1mm smaller than the base diameter, making it a cone shape. The upper section is a simple cylinder, 4mm high and 20mm in diameter.

I need the central hole for the hotend to be 16.5mm in diameter, and this should run all the way through the fixture, through both the upper and lower cylindrical parts. It should extend 1mm above and below the visible bodies.

I also need to optionally include a hole for wires, which should be centered and go all the way through the fixture. This should be togglable on or off with a parameter, and the diameter of this hole should be customizable. The default diameter should be 10mm.

Additionally, the fixture should have optional mounts for Traxxas joints. If this is enabled, it should add two trapezoidal mounts with a hole for each joint. The outer points of the trapezoid are 1mm from the sides of the upper cylinder and the distance of inner points of the trapezoids relative to the center is 3mm. The points of the trapezoid should be 2mm out from the x-axis, and from y-axis it is a total of 16.5mm to the center, and the traxxas joint hole should be 7.5mm in diameter. The locations for the Traxxas joints should be at x=17.5mm and y=+/-8.3mm.

For clarity, these are the parameters that should be controllable in the OpenSCAD code:

*   `Diameter_Hotend`: Diameter of the hotend; default 16mm. This value will be used to calculate the central hole for the hotend by adding 0.5mm.
*   `Big_Diameter`: Diameter of the upper cylinder; default 20mm.
*   `little_Diameter`: Diameter of the lower cylinder at the base; default 16mm.
*   `Cone`: Taper amount for the lower cylinder; default 1mm.
*   `Upper_Height`: Height of the upper cylinder; default 4mm.
*   `Lower_Height`: Height of the lower cylinder; default 10mm.
*   `hole`: Boolean (on/off) to include the wire hole; default off.
*  `holedia`: Diameter of the wire hole; default 10mm.
*  `Tra`: Boolean (on/off) for Traxxas joint mounts; default on.
*  `xdis`: X-axis distance of the traxxas joint hole from center; default 17.5
*  `ydis`: Y-axis distance of the traxxas joint hole from center; default 8.3
*  `traxdia`: Diameter of the traxxas joint hole; default 7.5

I think that covers everything! Thanks in advance.

[Assistant]
fix.scad:
```
//This piece is for the Deltaprintr; It should prevent the Hotend from moving out of the platform

/* [Parameters] */
//This is the Hotend upper diameter usually around 16mm. It'll add 0.5mm to that value to make assembly easier
Diameter_Hotend = 16;
//Big upper ø should be around 20mm
Big_Diameter = 20;
//Little Diameter
little_Diameter = 16;
//the lower little ø is the upper little ø - cone
Cone = 1;
//The Height of the upper ø
Upper_Height = 4;
//The Height of the lower ø
Lower_Height = 10;

/* [Hole for wires?] */
//With hole for wires?
hole = "off"; //[on:with Hole,off:without Hole]
//Holediameter
holedia = 10; //[1:1:10]

/* [Traxxas] */

//Traxxas On-Off
Tra = "on"; //[on:with Traxxas,off:without Traxxas]

//Distance between centre and traxas-joint outer
xdis=17.5;
ydis=8.3;

//Diameter of Traxxas-Joint-mount
traxdia=7.5;

///////////////
///Render//////
///////////////

//Renderquality
$fn= 100;
difference(){
whole();
minus();
}

//Modules
/* [Hidden] */
d1= Diameter_Hotend+0.5;
h1= Lower_Height;
d2= little_Diameter;
d3 = Big_Diameter;
h2= Upper_Height;
cone = Cone;
module whole(){

    if (Tra == "on"){
    withtra();
    }else{
    withouttra();}

}

module top(){
translate([0,0,h1])
    cylinder(h2,d3/2,d3/2);
}

module shaft (){
    cylinder (h1,d2/2-cone,d2/2);
}

module minus(){
    translate ([8.12,0,-1])
        cylinder (h1+h2+2,d1/2,d1/2);
    if (hole == "on"){
    withhole();
    }else{
   }
}

module withhole(){
    translate ([0,0,-1])
    cylinder(h1+h2+2,holedia/2,holedia/2);
}

module traxas(){

difference(){
translate([0,0,h1])
linear_extrude(height =h2)
polygon(points=[[-3,d3/2-1],[-xdis-2,ydis+2],[-xdis-2,-ydis-2],[-3,-d3/2+1]]);

translate([-xdis,ydis,h1-1])
    cylinder(h2+2,traxdia/2,traxdia/2);
translate([-xdis,-ydis,h1-1])
    cylinder(h2+2,traxdia/2,traxdia/2);
}
}

module withtra(){

    union(){
    top();
    shaft();
    traxas();
}}

module withouttra(){
    union(){
    top();
    shaft();}}
```


[User]
I'd like to create a speed calibration tower for my 3D printer, similar to the one I've seen online but with a few modifications. The idea is to have a tower that changes print speed at different heights, so I can see how the print quality varies with speed for a given filament.

Here's what I'm looking for:

*   **Overall Shape:** It should be a rectangular prism, like a tower.
*   **Speed Changes:** The tower will increase the speed at regular height intervals.
*   **Visual Indicators:** At each speed change, I want embossed text indicating the speed in mm/s. There should also be a small line or marker to indicate the point where the speed change happens on the opposite side of the tower.
*  **Dimensions and Parameters:** The design must be fully parametric. I would like to be able to set the following parameters:
    *   `TowerHeight`: The total height of the tower.
    *   `TowerSide`: The width and depth of the tower's base.
    *   `HeightIncrement`: The height interval at which the print speed changes.
    *   `SpeedIncrement`: The amount by which the print speed increases at each height interval.
    *    `BottomSpeed`: The speed at which the tower starts printing.
    *   `EmbossHeight`: How much the embossed text sticks out.
    *   `Indent`: The depth of a cutout on one side of the tower used for overhang testing.
    * `OverhangTestWidth`: The width of the area used to test overhang, that will be cut out of the side of the tower.
*   **Overhang and Bridging Tests:** I'd like to incorporate some test shapes into the tower. I want to include a 45-degree overhang test and a small bridging test in each section. The overhang should be an indent in one side of the tower that includes a triangular feature to test for support needs. There should also be a simple bridge across one corner of the tower for each speed, the length of which should be tied to the `OverhangTestWidth` parameter.
*  **Labeling:** It should also include some embossed text that displays the printer type/filament combination, and the print temperature. I need to be able to specify the `machine`, and `temperature` text.
*   **Font:** I'd like to use "Liberation Sans" for all text.
*  **Libraries:** The design should utilize the BOSL2 library for any advanced features or common routines.

Basically, I need a flexible test tower that lets me evaluate print speeds effectively.

[Assistant]
SpeedCalTower.scad:
```
//Printer and Filament Maker
machine = "Felix 3.1 / Atomic PLA";
// Temperature
temperature = "205 C";
//Starting Speed
BottomSpeed = 20;
// Tower height (mm)
TowerHeight = 136;
// Length of tower base (mm)
TowerSide = 20;
// Height change for speed change (mm)
HeightIncrement = 8;
// Amount to increase speed
SpeedIncrement = 5;
// Amount for lettering to stick out (mm)
EmbossHeight = 0.5;
// Indent for overhang testing (mm)
Indent = 3;

// Make the base cube, with cutouts for testing bridging.
overhangSide = min(HeightIncrement,TowerSide/2);

difference()
{
    cube([TowerSide, TowerSide, TowerHeight]);
    for(currentHeight=[0:HeightIncrement:TowerHeight-HeightIncrement])
    {
        translate([TowerSide-Indent,TowerSide/8,currentHeight])
        cube([Indent,3*TowerSide/4,HeightIncrement/2]);
        translate([0,TowerSide,currentHeight])
        {
        difference()
           {
                rotate([45,0,45])
                cube(overhangSide*sqrt(2),center=true);
                translate([0,0,-1.501*overhangSide])
                cube(3*overhangSide,center=true);
            }
        }
    }
}

// Emboss printer type and filament vendor, or whatever
// other info you think is relevant.  For example,
// Type A machines need 20C higher temps, and Makerbot
// filament needs 20C higher than regular PLA.

translate([0,TowerSide/8,0])
rotate([0,-90,0])
linear_extrude(EmbossHeight)
text(str(machine), font = "Liberation Sans", size = TowerSide/3);

// Emboss print temperature, as that will affect performance as well

translate([5*TowerSide/8,TowerSide,0])
rotate([-90,0,0])
rotate([0,0,-90])
linear_extrude(EmbossHeight)
text(str(temperature), font = "Liberation Sans", size = TowerSide/3);

// Make markings for speeds.  Lines are centered on
// the temperature change point.

for(currentHeight=[0:HeightIncrement:TowerHeight-HeightIncrement])
{
    currentSpeed = BottomSpeed+currentHeight/HeightIncrement*SpeedIncrement;
    translate([0,0,currentHeight])
    rotate([90,0,0])
    linear_extrude(EmbossHeight)
    text(str(currentSpeed), font = "Liberation Sans", size = 5);
    if(currentHeight != 0)
    {
        translate([7*TowerSide/8,0,currentHeight])
        cube([TowerSide/4,1,1],center=true);
    }
}
```


[User]
I want to generate a customizable base with a grid of posts on top of it, based on a 2D array that specifies which grid locations should have a post. I want to be able to change the size of the base, the size of the grid cells, the size of the posts, and the style of the posts (rounded cylinders, square, or rounded squares).

Specifically, the base should be a rectangular prism, and the posts should sit on top of it. The 2D array should be read in such a way that the first index is the "row" or the Y-axis coordinate of the posts, and the second index should be the "column" or the X-axis coordinate of the posts. So if the array is `[[0,1],[1,0],[1,1]]`, the first row will have a post at X=1, the second row at X=0, and the third row will have a post at X=0 and X=1. The location of the first post should be at X=0, Y=0, when the indices are also 0,0.

I'd like to use the `hull()` function to create the rounded square posts. When they're the rounded squares, I'd like a parameter for the cylinder radius used to make them. I want to have a choice of which type of post gets generated at any given time, using boolean flags like you see in the provided code.

Could you generate the OpenSCAD code for this?

[Assistant]
drawingBits.scad:
```
$fn=20;

//2*3 MATRICE EXAMPLE
/*test = [[0,1],[1,0],[1,1]];
nbCasesW = 2;
nbCasesL = 3;
*/
/*
//5*5 MATRICE EXAMPLE
test = [[0,1,0,1,0],
        [1,0,1,0,1],
        [1,0,0,0,1],
        [0,1,0,1,0],
        [0,0,1,0,0]];
nbCasesW = 5;
nbCasesL = 5;
*/

//5*5 MATRICE EXAMPLE
test = [[0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1],
        [1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1],
        [1,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,1,1,1],
        [1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1],
        [0,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1]];
nbCasesW = 19;
nbCasesL = 5;

marge=0.5;
podW=4;
podL=4;
podH=4;

baseH = 4;
baseL = nbCasesW*podW;
baseW = nbCasesL*podL;

rCylinder=0.9;

//SELECT THE SHAPE OF PODS
rounded_pod = false;
squared_pod = false;
rounded_squared_pod = true;

//BASE
%scube([baseL,baseW,baseH]);

for (a =[0:nbCasesL-1]) {
    for (b =[0:nbCasesW-1]) {
        if (test[a][b] == 1) {
            echo( test[a][b]);
            translate( [b*podW, a*podW, 0] )
            pods();
        }
    }
}

// PODS
module pods() {
    translate([marge/2,marge/2,baseH])
    if (rounded_pod == true) rounded_pod();
    else if (squared_pod == true) squared_pod();
    else rounded_squared_pod();
}

module rounded_pod() {
    translate([(podW-marge)/2,(podW-marge)/2,0])
    cylinder(h = podH/2+(podW-marge)/2, r1 = (podW-marge)/2, r2 = (podW-marge)/2, center = false);

    translate([(podW-marge)/2,(podW-marge)/2,podH/2+(podW-marge)/2])
    sphere(r = (podW-marge)/2);
}

module squared_pod() {
    cube([podW-marge,podL-marge,podH]);
}

module rounded_squared_pod() {
    hull() {
    translate([rCylinder/2,rCylinder/2,0])
    cylinder(h = podH-marge, r1 =rCylinder, r2 = rCylinder, center = false);

    translate([podW-rCylinder*2,rCylinder/2,0])
    cylinder(h = podH-marge, r1 = rCylinder, r2 = rCylinder, center = false);

    translate([rCylinder/2,podW-rCylinder*2,0])
    cylinder(h = podH-marge, r1 = rCylinder, r2 = rCylinder, center = false);

    translate([podW-rCylinder*2,podW-rCylinder*2,0])
    cylinder(h = podH-marge, r1 = rCylinder, r2 = rCylinder, center = false);
    }
}
```


[User]
Okay, I'm looking to generate a parametric hyperbolic sculpture, and I've got a pretty good idea of what I want. Basically, it'll be made from straight beams that are angled to intersect the top and bottom edges in a repeating pattern, and it's that angling that will create the hyperbolic shape overall.

I'd like to control the following parameters:

*   **`radius`**: This would be the radius of the circle formed by the top and bottom points. I'd like it to be a floating point number.
*   **`height`**: The total height of the sculpture from the bottom plane to the top plane. This should also be a floating point number.
*   **`notches`**:  This is the number of touch points on the top and bottom circles, I want it to be an integer. I want beams to be placed at these points.
*  **`skip_behind`**: This integer value controls how many points to "skip" when creating the angled beams. It has to be less than `notches / 2`. Smaller numbers make a dense mesh, larger ones more sparse.
*   **`segment_size`**: This will set the radius of the cylinder that forms each beam. It's a floating point number as well.

I'd like the code to create the sculpture by essentially rotating each beam around the central axis. The beams themselves are just cylinders that are rotated on different axes to achieve the angled effect and the desired intersecting pattern. The math will involve law of cosines and sines, but I'm hoping the code can just calculate that on it's own based on the defined parameters.

The `notches` parameter will also affect the number of repetitions of the pattern, where if `notches` is even there will be a gap in the beam layout. This should be accounted for in the calculation of the beam patterns.

I'm envisioning a single .scad file for this. No libraries are needed I think. I hope that's not too complicated!

[Assistant]
ContinuousHyperboloid.scad:
```
// LIB
TAU = 360; //2.0 * PI;
function r2d(a) = 180 * a / PI;

// top and bottom radius
radius = 5.0; //[0.1:0.01:100.0]

// height
height = 15.0; //[0.1:0.01:100.0]

// touchpoints on top and bottom
notches = 15; //[3:1:100]

// higher numbers reduce density
// must be < notches / 2
skip_behind = 2; //[1:1:49]

// segment radius
segment_size = 0.05; //[0.05:0.01:2.0]

wind(radius,height,notches,segment_size, skip_behind);

module wind(radius = 5.0, height = 5.0, notches = 6.0, stickWidth = 0.1, skipBehind){

    r_sq = radius * radius;
    skip = (notches / 2) - skipBehind;
    skipAngle = TAU/2 - skipBehind*TAU/notches;

    // law of cosines
    chordLength = sqrt((r_sq + r_sq) - (2 * r_sq * cos(skipAngle)));
    length = sqrt((chordLength*chordLength) + (height*height));
    angleY = atan2(chordLength, height);
    //law of sines
    angleZ = asin(radius * sin(skipAngle) / chordLength);

    repeats = notches % 2 ? 0 : (notches / 2) - 2;

    for (j = [0:repeats]){
        for ( i = [0: notches*skip]){
            dir = i%2 ? -1 : 1;
            startPos = i%2 ? i : i-1;
            ratio = TAU/notches;
            position = startPos * ratio;
            rotate([0,0,(j * TAU / notches)]){
                translate([radius * cos(position),radius * sin(position), 0]){
                   rotate([0, 0,dir * angleZ]){
                        rotate([0,0,position]){
                            rotate([0,-angleY,0]){
                                cylinder(length, r=stickWidth, $fn = 20);
                            }
                        }
                    }
                }
            }
        }
    }
}

```


[User]
Okay, I need help creating an OpenSCAD design for a mechanical assembly. It's going to be a kind of linear actuator with a pusher plate and a base plate, connected by pillars.

Specifically, the design needs to be parametric, so I can adjust the number of pillars, their radius at the top and base, the overall radius of the pusher and base plates, and the clearance between the pillars and the base plate holes.

Let me describe the parts in more detail:

**Pillars:** These are essentially cylinders that might taper a bit at the base. Each pillar should have a `r_tip_pillar` radius at the top, and a `r_base_pillar` radius at the bottom, with an overall `pillar_height`. It also needs a base section, which is a truncated cone. This cone has a base radius of `r_base_pillar` and tapers down to `r_tip_pillar` radius, over a height of `base_height`.

**Pusher Plate:**  This is a flat circular plate, with a radius of `pusher_plate_radius`, and a thickness or height of `pusher_plate_height`. The pillars are attached to it, equally spaced around a circle with a radius of `pillar_circle_radius`.

**Base Plate:** This is another flat circular plate, again with radius of `base_plate_radius` and a height/thickness of `base_plate_height`. It also has a series of holes cut out of it that should fit around the base of the pillars. There should be `pillar_count` of them, spaced equally. These holes should have a diameter that's slightly bigger than the `r_base_pillar` radius to provide clearance, using a `clearance` value. I need to be able to control this clearance value. The center point of the hole must be at the `pillar_circle_radius` radius.

I need a function, `scaleF(dim, clearance)` that can be used to increase the dimensions by a set clearance, and a `clearXY(dim, clearance)` module which can make use of that to scale objects. Also, there should be a `pillar(height, tip_radius, base_radius, base_height)` module that handles creation of each individual pillar.

I would like the main design to be built by two `union` calls. The first `union` call creates the `pusher_plate` with the pillars, and the second `union` call creates the `base_plate`, also with pillars. The pillars in the second union are taller, and also slightly thicker than the pillars in the first union, to give the design a different aesthetic.

The design should be parametric, meaning all the dimensions I mentioned – `r_tip_pillar`, `r_base_pillar`, `pillar_height`, `base_height`, `pusher_plate_radius`, `pusher_plate_height`, `base_plate_radius`, `base_plate_height`, `pillar_circle_radius`, `pillar_count`, and `clearance` should be parameters in the final SCAD file. Let's use `$fn=50;` for the circle resolution too.

I think that's everything. Let me know if you need more info!

[Assistant]
TrineMachine.scad:
```
r_tip_pillar=2.7;
r_base_pillar=3.7;
r_pillar=17;
n_pillar=4;
clearance=0.4;

function scaleF(dim, clearance) = (dim+clearance)/dim;

module clearXY(dim, clearance) {
    scale([scaleF(dim, clearance), scaleF(dim, clearance), 1]) children();
}

module pillar(h=40, r= 2.5, base_r=3.5, base_h=10){
    cylinder(h=h, r=r);
    cylinder(r2=r, r1=base_r, h=base_h);
}

$fn=50;
//pillar();

module pusher_plate(h=5, r=25, r_pillar=20, n_pillar=4){
    cylinder(h=h, r= r);
    translate([0,0,h])
        for(angle=[0: 360/n_pillar: 360]){
            rotate([0,0,1], a=angle)
                translate([r_pillar,0,0])
                    children();
        }

}

module base_plate(h=5, r= 25, r_pillar=20, r_base_pillar=2.5, n_pillar=4, clearance=0.5){
    difference(){
        union(){
            cylinder(h=h, r=r);
            translate([0,0, h])
                for(angle=[0: 360/n_pillar: 360]){
                    rotate([0,0,1], a=angle)
                        translate([r_pillar,0,0])
                        children();
                }
        }

        for(angle=[0: 360/n_pillar: 360]){
            rotate([0,0,1], a=angle)
                translate([r_pillar,0,0])
                    clearXY(dim=r_base_pillar, clearance=clearance)
                        cylinder(h=h*20, r=r_base_pillar);
        }
    }

}

union() translate([0,0,-50])
    pusher_plate(r_pillar=r_pillar, n_pillar=n_pillar)
        pillar(r=r_tip_pillar, base_r=r_base_pillar);

union() base_plate(r_pillar=r_pillar, r_base_pillar=r_tip_pillar, n_pillar=n_pillar, clearance=clearance)
    pillar(r=r_tip_pillar*1.7, base_r=r_base_pillar*1.5, h=20);
```


[User]
I need a parametric belt clamp design for a small 3D printer, similar to the ones used on the Creality CR-7 Mini. This printer has no good way to secure the belts, so I'd like to create a clamp that will grip the belt using teeth and also has a way to tighten the belt using nuts and bolts.

Here are the key parameters I'm thinking of:

*   **Belt Dimensions:**
    *   `belt_width`: The width of the belt (default 7mm, but I might need to make a double one sometimes (15mm)).
    *   `belt_height`: The thickness of the belt (2mm).
    *   `tooth_offset`: The distance between the teeth on the belt (2.1mm).
    *   `tooth_height`: The height of the teeth on the clamp (1.2mm).
    *   `tooth_width`: The width of the teeth on the clamp (1.05mm).

*   **Clamp Dimensions:**
    *   `wall`: Distance between holes and the perimeter (3mm).
    *  `extrusion_width`:  The width of the extrusion lines when 3D printing (0.4mm).
    *   `clamp_height`: Height of the clamp (3.5mm).
    *   `clamp_width`: Width of the clamp (12mm).

*   **Ram Dimensions (optional):**
    *   `ram_height`: Height of the ram (7mm).
    *   `ram_length`: Length of the ram (1.5mm).

*   **M3 Bolt/Nut Dimensions:**
    *   `m3_diameter`: Diameter of the M3 bolt (calculated, but approximately 3.4mm).
    *   `m3_radius`: Radius of the M3 bolt (`m3_diameter / 2`).
    *   `m3_nut_diameter`: Diameter of the M3 nut (calculated, but approximately 5.9mm).
    *   `m3_nut_radius`: Radius of the M3 nut (`m3_nut_diameter / 2`).
    *   `m3_nut_depth`: Depth of the M3 nut (2.5mm).

The clamp should consist of a top and bottom part that are bolted together to clamp the belt in between. The top part will have teeth to grab the belt, and the bottom part will have recesses to hold the nuts.

I'd also like to include an optional ram-like piece (two of them, actually) for added tightening.

Could you generate OpenSCAD files for this? I’d like all the parameters at the top of the file, and I’d like the code to be organized into modules for each part, like `clamp()`, `clamp_base()`, `clamp_top()`, `clamp_trap()`, and `ram()`

I want to be able to adjust any of those parameters at the top. I'm not using any special libraries, just vanilla OpenSCAD. Thanks!

[Assistant]
creality-belt-clamp-small.scad:
```
/*

Y belt clamps for the Creality CR-7 MINI, e.g. available from
http://www.eastmachinery.com/product/8213.html

This little 3D printer doesn't have a decent way for fixing the belts.
I.e. they suggest just using plastic "cuffs".

Original code made by Triffid Hunter
http://www.thingiverse.com/thing:13479

Additional code from John Ridely' robust belt clamp/tightner for i3
Prusa (can't remember where I found this), i.d. I replaced the top
clamp code with the one from John Ridley

Daniel K. Schneider, TECFA, University of Geneva, Feb 2016

*/

// Define BELT properties in mm

// belt width (7mm default)
belt_width = 7; // 15 for a double, 7 for a single

// belt height (thinkness)
belt_height = 2;

// distance between teeth
tooth_offset = 2.1; // distance between teeth

// height of the teeth
tooth_height = 1.2;

// width of the teeth
tooth_width = 1.05; // roughtly == tooth_offset/2,  can be made a bit bigger or smaller (depends on your slicing)

// Distance between holes and perimeter
wall = 3;

/* tweeking extrusion ? */
extrusion_width = 0.4;

// Height of clamps
clamp_height = 3.5;

// Width of clamps (wall * 4)
clamp_width = 12;

/* Parameters for the ram (optional) */

ram_height = 7;
ram_length = 1.5;

/* Definition of the nuts and bolts */

m3_diameter = 3 / cos(180 / 8) + 0.4;
m3_radius = m3_diameter / 2;

m3_nut_diameter = 5.5 / cos(180 / 6) + 0.4;
m3_nut_radius = m3_nut_diameter / 2;

m3_nut_depth = 2.5;

// ***************  models - comment if you like, e.g. for the CR-7 you only may need the clamps

translate([wall * 2 + m3_diameter + 2, 0, 0]) clamp_top(); // Clamp with grid
translate([-wall * 2 - m3_diameter - 2, 0, 0]) clamp_trap(); // Clamp with nut holes

// clamp_base(); // the ram base
// translate([wall * 4 + m3_diameter * 2 + 3, -belt_width, 0]) ram(); // ram 1
// translate([wall * 4 + m3_diameter * 2 + 3, belt_width, 0]) ram(); // ram 2

// ----------- code

module clamp(h=10) {
	translate([-wall - m3_radius, 0, 0])
	difference() {
		intersection() {
			translate([0, belt_width / -2 - m3_diameter - wall - extrusion_width * 2, 0]) cube([wall * 2 + m3_diameter, belt_width + m3_diameter * 2 + wall * 2 + extrusion_width * 4, h]);
			union() {
				translate([wall + m3_radius, belt_width / 2 + m3_radius + extrusion_width, 0]) cylinder(r=wall + m3_radius, h=h + 1, $fn=32);
				translate([wall + m3_radius, -belt_width / 2 - m3_radius - extrusion_width, 0]) cylinder(r=wall + m3_radius, h=h + 1, $fn=32);
				translate([0, -belt_width / 2 - m3_radius - extrusion_width, 0]) cube([wall * 2 + m3_diameter, belt_width + m3_diameter  + extrusion_width * 2, h + 1]);
			}
		}
		translate([wall + m3_radius, belt_width / 2 + m3_radius + extrusion_width, -1]) cylinder(r=m3_radius, h=h + 2, $fn=16);
		translate([wall + m3_radius, belt_width / -2 - m3_radius - extrusion_width, -1]) cylinder(r=m3_radius, h=h + 2, $fn=16);
	}
}

module clamp_base() {
	difference() {
		clamp(belt_height + m3_nut_diameter);

		translate([-1 - wall - m3_radius, -belt_width / 2, m3_nut_diameter]) cube([wall * 4, belt_width, belt_height + 1]);
		translate([-1 - wall - m3_radius, 0, m3_nut_radius]) rotate([0, 90, 0]) rotate([0, 0, 180 / 8]) cylinder(r=m3_radius, h=wall * 4, $fn=8);
		translate([-1 - wall - m3_radius, 0, m3_nut_radius]) rotate([0, 90, 0]) rotate([0, 0, 180 / 6]) cylinder(r=m3_nut_radius, h=1 + m3_nut_depth, $fn=6);
	}
}

// clamp top with insets for holding the belt
// The code in the for loop was taken from John Ridely
module clamp_top() {
	difference() {
		clamp(clamp_height);
		for(i=[0:clamp_width/tooth_offset])
			{
			translate([(-clamp_width / 2) + (tooth_offset * i), 0, (clamp_height - tooth_height/2)])
				cube([tooth_width, belt_width, tooth_height], center=true);
			}
		}
	}

// clamp holding the 2 nuts
module clamp_trap() {
	difference() {
		clamp(clamp_height);
		translate([0, belt_width / 2 + m3_radius + extrusion_width, max(clamp_height - m3_nut_depth, 1)]) cylinder(r=m3_nut_radius, h=m3_nut_depth + 1, $fn=6);
		translate([0, belt_width / -2 - m3_radius - extrusion_width, max(clamp_height - m3_nut_depth, 1)]) cylinder(r=m3_nut_radius, h=m3_nut_depth + 1, $fn=6);
	}
}

// 2 blocks
module ram() {
	difference() {
		union() {
			cylinder(r=m3_nut_radius, h=ram_height, $fn=32);
			translate([0, -m3_nut_radius, 0]) cube([ram_length + 0.1, m3_nut_diameter, ram_height]);
		}
		translate([ram_length, -m3_nut_radius - 1, -1]) cube([m3_nut_diameter + 2, m3_nut_diameter + 2, ram_height + 2]);
		translate([-0.5, 0, ram_height / 2]) rotate([0, 90, 0]) rotate([0, 0, 180 / 8]) cylinder(r=m3_radius, h=2 + ram_length, $fn=8);
	}
}

```


[User]
I'm trying to design a modular vertical marble run system, and I need a specific kind of peg to hold the track pieces in place. I have a basic version in mind, but it's not very flexible, and I need something that's fully parametric.

Essentially, I need a double-ended peg that fits into a hole, with a small axle extending from each end. Think of it like two identical pegs connected back-to-back. The peg consists of a central cylindrical section, with a larger diameter lip and a cylindrical axle at each end. I need to control the length of the peg, the thickness of the lip, and the diameter of the axle. There also needs to be a small hole running through the center of the peg to print reliably, and it would be good to control the diameter of that hole as well. The pegs are intended to slot into holes on vertical marble run pieces, so they need a very tight fit to be useful. Finally, I'd like to specify the number of pegs I want in a grid pattern so that I can easily create arrays of these.

Here are the key parameters I need:

*   `peg_length`: The overall length of the cylindrical part of each peg section (the body that fits into the hole).
*   `lip_thickness`: The radial thickness of the lip around each peg section.
*  `lip_height`: The height of the lip around each peg section
*   `axle_radius`: The radius of the axle that extends from each end of the peg.
*   `axle_length`: The length of the axle that extends from each end of the peg.
*   `center_hole_radius`: The radius of the hole running through the center of the peg.
*   `peg_spacing`: Distance between the center of pegs in the x and y directions.
*  `peg_number_x`: Number of pegs in the x direction
*  `peg_number_y`: Number of pegs in the y direction
*   `tolerance`: A small adjustment to fit the parts together.

I would like to use OpenSCAD, and it would be helpful if the design was fully parametric. Can you generate the necessary OpenSCAD code to create these pegs and place them in a grid?

[Assistant]
standard_axle_peg_double_nocollar.scad:
```
l=150;
w=22;
h=20;
t=1;
g=20;
peg_number_x=5;
peg_number_y=2;
$fn=50;

tolerance=0.1;
indent_hole_radius=6.5;
thickness=2;
axle_radius=2.8; //3
axle_length=20;

spacer_height=0; //Collar

translate([0,-g*2,0])
difference()
{
//tack indent
difference()
{
rotate([0,0,180])
hull()
{translate([0,-g,0])
cylinder(r=axle_radius+1,h=2*t); //h/5 originally

cylinder(r=indent_hole_radius+thickness,h=2*t);}
//lip
translate([0,0,t])
cylinder(r=indent_hole_radius+tolerance,h=h);
}
//hole
translate([0,0,-h/2])
cylinder(r=1.5,h=w+5);
}

module peg ()
{
translate([0,-g*2,0])
difference()
{
//tack indent
difference()
{
rotate([0,0,180])
hull()
{translate([0,-g,0])
cylinder(r=axle_radius+1,h=2*t); //h/5 originally

cylinder(r=indent_hole_radius+thickness,h=2*t);}
//lip
translate([0,0,t])
cylinder(r=indent_hole_radius+tolerance,h=h);
}
//hole
translate([0,0,-h/2])
cylinder(r=1.5,h=w+5);
}

difference()
{
//tack indent
difference()
{
hull()
{translate([0,-g,0])
cylinder(r=axle_radius+1,h=2*t); //h/5 originally
cylinder(r=indent_hole_radius+thickness,h=2*t);}
//lip
translate([0,0,t])
cylinder(r=indent_hole_radius+tolerance,h=h);
}
//hole
translate([0,0,-h/2])
cylinder(r=1.5,h=w+5);
}

translate([0,-g,0])
cylinder(r=axle_radius-tolerance,h=axle_length); //h/5 originally

translate([0,-g,0])
cylinder(r=axle_radius+1,h=spacer_height+thickness);

}

for (i=[0:peg_number_x-1], j=[0:peg_number_y-1])
{
translate([indent_hole_radius*4*i, g*3*j, 0])
peg();

}

```


[User]
I'm looking to create a customizable breast cancer awareness ribbon with a personalized name on it. I want the ribbon itself to be imported from a provided SVG file, and then have the name extruded and placed onto the ribbon.

Specifically, I need the following parameters to be customizable:

*   **`text_size`**:  The size of the text for the name. I'd like to control this numerically.
*   **`name`**: The actual text of the name to be displayed.
*   **`text_angle`**:  The rotation angle of the text relative to the ribbon.
*   **`text_height`**: The extrusion height for the text.
*  **`x_offset`**: The horizontal offset of the text relative to the ribbon.
*  **`y_offset`**: The vertical offset of the text relative to the ribbon.

I want the ribbon itself to be imported using `import()`, with the path specified within a variable, like:
`import(ribbon_path);` where `ribbon_path` can be set by the user.

I need the final design to be a `union()` of the ribbon and the extruded text.

For the extrusion, I would like it to be a linear extrusion with the height of `text_height + 3` and for it to be a single object.

I'm not very familiar with OpenSCAD, so I'd like to keep it as simple as possible.

Could you please generate the necessary OpenSCAD code, including the main .scad file and any necessary library files, that achieves this functionality? If possible, could you also specify in your response how the user would be expected to use the customizer?

[Assistant]
breast_cancer_ribbon_customizable.scad:
```
text_size = 6;
name = "Henry";
text_angle = 48;
text_height = 1.1;

x_offset = 5;
y_offset = -44;

module draw_ribbon(){
	rotate([90,0,0])
		import("path\to\breast\cancer\ribbon");
}
union(){
draw_ribbon();
linear_extrude(3+text_height)
	translate([6,-44,0])
		rotate([0,0,text_angle])
			text(name, text_size);

}
```


[User]
Okay, I need an OpenSCAD design for a laser pointer support system. I've got a laser pointer with a diameter of 16mm (radius of 8mm), and I want to create a mount that lets me adjust its angle.

The design should consist of a few key parts:

1.  **Pen Socket:** A cylindrical socket to hold the laser pointer. This socket should have a slightly larger internal diameter than the laser pointer and should have some room for a screw. I want to be able to print this with and without the screw. The mount will have two of these sockets, one at the end of a support bar and another towards the top that will have a rotation adjustment.

2.  **Pen Base:**  A simple block with a rotation joint. This acts as an additional mounting point for the rotation feature. This base should be mounted to a bar. This bar will have mounting points for the Pen Sockets described above.

3.  **Holder Base:** A conical base to be mounted to a bar that interfaces with the pen base through a rotation joint.

4. **Rotation Joint:** A rotating socket made by two 3D arcs with space in between. There should be a similar part in the Pen Base.

Here are the specifics I need:

*   **Parametric Design:** I'd like the entire design to be parametric so that I can easily adjust the laser pointer radius, material thickness, screw dimensions, and other dimensions later.

*   **Print Mode:** I will need a "print mode" that makes all parts visible with the correct orientation and spacing. I also need an "explode mode" where the different parts are separated for easier design review and 3d printing preparation.

*   **Angle Adjustment:** I need a parameter that toggles the angle adjustment feature. When disabled, the Pen Base should be mounted directly to the bottom of the Holder Base with no rotation joint.

*   **Closed End:** I need to parameterize whether the end of the socket is closed or not.

*   **Screw Holes:** When enabled, the pen sockets should include screw holes for securing the laser pointer.

The design should be made with the following modules: `PenSocket`, `PenBase`, `HolderBase`, `RotationSocket1`, `RotationSocket2`, `3DArc`, and `2DArc`. I don't expect any libraries to be necessary.

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

[Assistant]
LaserSupport.scad:
```
PenRadius = 8;
pAngleAdjust = "false"; // [yes,no]
pClosedEnd = "no"; // [yes,no]
pPrintMode = "yes"; // [yes,no]

/* [HIDDEN] */
AngleAdjust = (pAngleAdjust=="yes");
FundoFechado = (pClosedEnd=="yes");
PrintMode = (pPrintMode=="yes");

if(PrintMode){
    explode = 0;
    translate([30,0,5]){
        translate([0,-40,0])
            rotate([0,-180,0])
                PenSocket(PenRadius,3,true);
        translate([0,35,0])
            rotate([0,-180,0])
                PenSocket(PenRadius,3,!FundoFechado);
    }
    if(AngleAdjust){
        HolderBase();
        translate([-40,0,0])
            rotate([0,-180,0])
                PenBase();
    }else{
        translate([0,0,5]){
            translate([0,0,25])
                rotate([0,-180,0]) HolderBase();
            PenBase();
        }
    }
}
else{
    explode = 5;

    translate([0,-40,(AngleAdjust?60:50)+explode*2])
        rotate([-90,0,0]) PenSocket(PenRadius,3,true);
    translate([0,35,(AngleAdjust?60:50)+explode*2])
        rotate([-90,0,0]) PenSocket(PenRadius,3,!FundoFechado);

    HolderBase();
    translate([0,0,35+explode+(AngleAdjust?10:0)])
        PenBase();
}

module PenSocket(InternalRaius,Thickness,Screw){
    $fn=50;
    difference(){
        translate([0,0,-2.4])
            cylinder(h=15,r=InternalRaius+Thickness/2,center=true);
        translate([0,0,(Screw?0:-2)-2.4])
            cylinder(h=16,r=InternalRaius,center=true);
        if(Screw){
            for(a=[0:120:360])
                rotate(a=[90,0,a]){
                    translate([0,0,7])
                        cylinder(h=11,d=4.5,center=true);
                }
        }
    }
    translate([-5,InternalRaius-0.2,0])
        cube([10,10,5]);
}

module PenBase(){
    rotate(a=[180,0,0]){
        translate([0,0,2.5]) cube([12,80,5],center=true);
        if(AngleAdjust)
            translate([0,0,5])
                RotationSocket1(10,3,3);
    }
}

module HolderBase(){
    cylinder(h=30,r1=20,r2=12,$fn=50);
    if(AngleAdjust)
        translate([0,0,30])
            RotationSocket2(10,3,6.5,3);
}
module RotationSocket1(SocketRadius,HoleRadius,WallThickness){
    rotate(a=[0,-90,0]){
        difference(){
            3DArc(WallThickness,0,180,SocketRadius);
            translate([SocketRadius/2,0,0])
                cylinder(r=HoleRadius,h=25,center=true,$fn=50);
        }
    }
}
module RotationSocket2(SocketRadius,HoleRadius,Spacing,WallThickness,Count){
    rotate(a=[0,-90,0]){
        difference(){
            union(){
                translate([0,0,Spacing/2])
                    3DArc(WallThickness,0,180,SocketRadius);
                translate([0,0,-Spacing/2])
                    3DArc(WallThickness,0,180,SocketRadius);
            }
            translate([SocketRadius/2,0,0])
                cylinder(r=HoleRadius,h=25,center=true,$fn=50);
        }
    }
}

module 3DArc(Height,StartAngle,EndAngle,Radius){
    linear_extrude(height=Height,center=true)
    2DArc(StartAngle,EndAngle,Radius);
}
module 2DArc(StartAngle,EndAngle,Radius){
    points = [
        for (a = [StartAngle : EndAngle])
            Radius * [ sin(a), cos(a) ] ];
    polygon(concat(points, [[0, 0]]));
}
```


[User]
I'd like a design for a magnetic whiteboard tray, and it should be parametric so I can easily adjust it for different sized whiteboards and pens. Here’s what I’m looking for in terms of parameters:

*   **`thickness`**: This is the thickness of the tray itself, in millimeters. I'd like to be able to control how thick the plastic is. I'm thinking something around 2.5mm as a starting point.
*   **`width`**: The overall width of the tray, in centimeters. This will probably be around 15 cm for my whiteboard.
*   **`depth`**: The depth of the tray, in centimeters. I’m thinking around 4 cm deep to hold pens securely.
*   **`magnet_diameter`**: The diameter of the magnets I plan to use, in millimeters.  They are 18.6mm diameter.
*   **`magnet_thickness`**:  The thickness of the magnets, also in millimeters, which are 2mm thick.

The design should have three recessed holes for magnets on the back so it can be attached to the whiteboard. Two of the three would be enough, but I want the option of using all three if I want to make the tray wider. The magnet recesses should be sized to perfectly hold the magnets I specified.

The front of the tray should have a curved, slightly angled lip to keep the pens from rolling off. I’d also like it to have a small shelf on the top of the main tray part, maybe something square with a rounded corner. It would be located at the top part of the main tray body and it would be the same thickness as the tray itself, so the pens have something to rest on. I'd also like that shelf to be partially supported at its outer edge by a right-angled extrusion connecting it to the body of the tray.

I'm thinking of using `offset()` with `chamfer=true` and `polygon()` to achieve the profile of the pen-holding section.  And I would probably use `linear_extrude()` to make the main body. I'll use `difference()` to cut out the magnet holes.

I'd like the design to be smooth and clean looking, with decent `$fn`. Maybe 30 would be a good starting point.

Could you generate an OpenSCAD file, or a few, that uses these parameters and design notes? No need to worry about including any external libraries.

[Assistant]
whiteboard_tray.scad:
```

/*
Customizable Magnetic Whiteboard Tray (parametric)
Initially published here: https://www.thingiverse.com/thing:1388211
*/

// preview[view:north, tilt:top diagonal]

//tray thickness (in mm)
thickness = 2.5;

//tray width (in cm)
width = 15;

//tray depth (in cm)
depth = 4;

//magnets diameter (in mm)
magnet_diameter = 18.6;

//magnets thickness (in mm)
magnet_thickness = 2;

sth = thickness;

sw = width*10;   // support width
sd = depth*10;   // support depth

seh = 12*1;   // support edge height
sei = 1/3;  // support edge incline

msh = 36/40*sd;   // magnet support height
msd = 5*1;    // magnet support depth

mr = magnet_diameter/2;   // magnets radius
md = 2*1;     // magnets depth (ie thickness)

cr = 1*1;     // chamfer radius
$fn = 30*1;

// other calculated values (magnets position)
vpos = (msh-seh)*1/3;
mpos = (msh-mr*2)*4/5;

// object
difference() {
    translate(v = [msd, 0, 0])
    linear_extrude(height = sw) {
      magnet_support();
      pen_support();
    }
    translate(v = [0, 0, mr+5]) magnet();
    translate(v = [0, 0, sw/2]) magnet();
    translate(v = [0, 0, sw-mr-5]) magnet();
}

module magnet() {
    translate(v = [-md, mr+mpos, 0])
    rotate([0, 90, 0])
    cylinder(r=mr, h=md*2);
}

module magnet_support() {
    translate(v = [cr-msd, cr, 0])
    offset(chamfer = true, r = cr)
    square(size = [msd-2*cr, msh-2*cr]);
}

module pen_support() {
    translate(v = [0, vpos+sth/2, 0])
    offset(chamfer = true, r = sth/2-0.1)
    polygon(points = [
          [0, 0],
          [sd, 0],
          [sd+seh*sei, seh],
          [0.1+sd+seh*sei, seh],
          [sd, 0.1],
          [0, 0.1]
        ]
      );
    translate(v = [0, cr+0.1, 0])
    difference() {
      square(size = [vpos-cr, vpos-cr]);
      translate(v = [vpos-cr, 0, 0]) circle(r=vpos-cr);
    }
    translate(v = [0, vpos+sth, 0])
    difference() {
      square(size = [sth, sth]);
      translate(v = [sth, sth, 0]) circle(r=sth);
    }
    translate(v = [sd-sth+0.05, vpos+sth, 0])
    difference() {
      square(size = [sth*1.2, sth]);
      translate(v = [0, sth, 0]) circle(r=sth);
    }
}

```


[User]
Hi, I'm looking for an OpenSCAD design for a customizable rocket nose cone. I've got a few specific requirements and parameters I'd like to control.

First, the basic shape is a cone that transitions into a cylinder. I need to be able to set both the outside diameter (OD) of the cylinder and the inside diameter (ID) of the cylinder. I also need to specify the length of the cylindrical shoulder (SHOULDER).

The nose cone itself is generated as a sphere that's been sliced, with a section removed so that it fits on top of the cylindrical section. The height of the nose cone is determined by a ratio (RATIO) multiplied by the OD, effectively controlling how pointy the nose is. Specifically, the height 'h' should be calculated as RATIO * OD / 2 * 3. I need to be able to control the RATIO as well.

I also need a shock cord attachment point integrated into the design. It should be a cylinder with a diameter of 4mm (radius of 2mm) going all the way through the cylindrical portion of the nosecone. This cylinder should be centered, so it will be offset from center based on the ID. I'd like it oriented to a horizontal position and perpendicular to the central axis of the nosecone.

Finally, I want a recessed section on the inside of the cylinder to make the transition from the shoulder to the nosecone section. This recessed part should be just a bit wider than the difference between the ID and the OD. Specifically it should have a diameter of ID - 3 and a depth/length of ID+2

It's important that the code is parametric, so I can easily adjust all these variables. Also, I'd like to use $fa and $fs for controlling rendering detail. The values I want to use are $fa = 0.01 and $fs=1.

I think that's everything! Could you generate the OpenSCAD file(s) for this? I'd prefer the whole thing in a single file if that's feasible. I'm not using any special libraries currently.

[Assistant]
nose_thingverse.scad:
```
//Outside diameter tube in mm
OD = 39; //[200]
//Inside diameter tube in mm
ID=35; //[200]
//Shoulder length in mm
SHOULDER = 30; //[200]

//Ratio of nose >3 it's ok.
RATIO = 3; //[5]

/* [Hidden] */
h=RATIO*OD/2*3;
//Leave these as is
$fa=0.01;
//Course render = 2, Fine render = 0.3
$fs=1;

//Build nose cone
translate([0,0,SHOULDER]){
	difference(){
		resize([0,0,h]) sphere (d = OD);
		resize([0,0,h-4]) sphere (d = ID-2);
		translate([0,0,-h/2]) cylinder(d = OD, h = h/2);
	}
}

//Add Shock Cord Attachment
rotate ([90,0,0]){
	translate ([0,2,-ID/2+.25]){
		cylinder (r=2, h=ID-.5);
	}
}

//Add SHOULDER
difference(){
	cylinder(d=ID, h=SHOULDER);
    translate([0,0,-1]){
        cylinder(d=ID-3, h=ID+2);
    }
}

```