[User]
Hi, I'm looking to design a pastry cutter that uses a series of rotating blades. I'd like it to be parametric so I can adjust various aspects later.

Here's the basic concept:

It will have a central handle, and then an ax-like structure that the cutting rings are mounted on. The cutting rings will consist of a circle with a cutting edge, and an inner hole to mount it onto the ax. They will all be spaced out and can rotate independently around the ax, but they will stay at a particular angle after being rotated.

Specifically, I need the following parameters to be adjustable:

*   **`axEdges`**: The number of discrete angles the blades can be placed. This should be an integer, and a minimum of 6 to ensure the rings can be mounted securely.
*   **`axRadius`**: The radius of the ax through the rings. A minimum of 4 is recommended for stability.
*   **`ringRadius`**: The base radius of the rings.
*  **`cuttingLength`**: The length of the cutting edge on each ring
*   **`ringThickness`**: The thickness of the cutting portion of the ring. Smaller values should create sharper edges.
*   **`ringSpacer`**: The axial distance between the cutting rings.
*   **`amountRings`**: The total number of cutting rings in the device.
*   **`handleLength`**: The total length of the handle.
*   **`handleHeight`**: The thickness of the handle in the z-direction.
*   **`handleThickness`**: The thickness of the handle in the x-direction.
*   **`handleHoleRadius`**: The radius of the hole in the handle for hanging.
*   **`nozzleRadius`**: The nozzle radius for clearance calculations. This should automatically calculate the clearance needed on the ax from the printer nozzle (default 0.35/2).

I'd like the code to calculate the `outerRadius` of the cutting ring based on the `cuttingLength` so `outerRadius = 2 * cuttingLength / (2 * PI);`

The output should have these modules:

*   `assembly()`:  This is the main module that ties it all together.
*   `handle()`: Creates the main handle part.
*   `handleHalf()`: Creates half of the handle, used in `handle()`
*    `ax()`: Generates the central ax around which the rings rotate, with an area for mounting at each end.
*   `array(x)`: Creates the rings in a grid to allow for easy arrangement.
*   `ring()`: Creates one cutting ring.

Is it possible to generate the OpenSCAD code for this? I don't require any libraries or specific styles of coding, but I would like to ensure that the code is clean and readable.

[Assistant]
roller.scad:
```
PI = 3.14 * 1;

//  Amount of segments in a circle
$fn = 40;

//  Amount of different angles at which the blades can be put, put at least 6, else the rings can't be put onto the ax
axEdges = 8;

//  Clearances on the axes are determined by your nozzleradius
nozzleRadius = 0.35 / 2;

//  The radius of the ax through the rings, don't make this smaller than 4 for stability
axRadius = 4;

//  Base radius of the rings
ringRadius = 6;

//  Cutting length of each blade
cuttingLength = 30;
outerRadius = 2 * cuttingLength / (2 * PI);

//  Thickness of the cutting part of the ring, smaller values make the blades sharper
ringThickness = 2;

//  Axial distance between cutting edges
ringSpacer = 4;

//  Amount of cutting rings in the devices
amountRings = 24;

//  Total length of the handle to hold the device
handleLength = 150;

//  Thickness of the handle in z direction
handleHeight = ringRadius * 2;

//  Thickness of the handle in x direction
handleThickness = 7.5;

//  The radius of the hole in the handle to hang it on
handleHoleRadius = 5;

assembly();

module assembly()
{
    handle();
    rotate([0, 0, 90])
    {
        ax();
    }
    translate([amountRings * ringSpacer, 0, 0])
    {
        array(amountRings);
    }
}

module array(x){
    dimension = ceil(sqrt(x));
    spacing = 2 * outerRadius + 5;

    for(i = [0:dimension - 1]){
        for(j = [0:dimension - 1]){
            if(dimension * i + j < x){
                translate([i * spacing, j * spacing, 0]){
                    ring();
                }
            }
        }
    }
}

module handle()
{
    difference()
    {
        union()
        {
            handleHalf();
            mirror()
            {
                handleHalf();
            }
        }
        translate([0, ringRadius, handleHeight / 2])
        {
            for(i = [-1:2:1])
            {
                rotate([0, i * 90, 0])
                {
                    cylinder(r = axRadius + nozzleRadius, h = amountRings * ringSpacer);
                }
                translate([-amountRings * ringSpacer / 2 - handleThickness - 0.1, -ringRadius - 0.1, -handleHeight / 2 - 0.1])
                {
                    difference()
                    {
                        cube([amountRings * ringSpacer + 2 * handleThickness + 0.2, ringRadius + 0.2, handleHeight + 0.2]);
                        translate([0.1, ringRadius + 0.1, handleHeight / 2 + 0.1])
                        {
                            rotate([0, 90, 0])
                            {
                                cylinder(r = ringRadius, h = amountRings * ringSpacer + 2 * handleThickness);
                            }
                        }
                    }
                }
            }
        }
        translate([0, handleLength - handleThickness - handleHoleRadius, -0.1])
        {
            cylinder(r = handleHoleRadius, h = handleThickness * 2 + 0.2);
        }
    }
}

module handleHalf()
{
    width1 = amountRings / 2 * ringSpacer;
    width2 = width1 + handleThickness;
    width3 = handleThickness;

    height1 = 3 * handleThickness + outerRadius;
    height2 = height1 + width2 - width3;
    height3 = handleLength;
    height4 = height2 - width3;
    height5 = height1 - handleThickness;

    linear_extrude(height = handleHeight)
    {
        polygon(    points  =   [   [width1, 0],
                                    [width2, 0],
                                    [width2, height1],
                                    [width3, height2],
                                    [width3, height3],
                                    [0, height3],
                                    [0, height4],
                                    [width1, height5]
                                ]);
    }
}

module ax()
{
    height = amountRings * ringSpacer + 2 * handleThickness + 4 * ringThickness;
    union()
    {
        cylinder(r = axRadius, h = 2 * ringThickness, $fn = axEdges);
        translate([0, 0, 2 * ringThickness])
        {
            cylinder(r = axRadius * cos(30), h = handleThickness);
            translate([0, 0, handleThickness])
            {
                cylinder(r = axRadius, h = amountRings * ringSpacer, $fn = axEdges);
                translate([0, 0, amountRings * ringSpacer])
                {
                    cylinder(r = axRadius * cos(30), h = handleThickness);
                    translate([0, 0, handleThickness])
                    {
                        cylinder(r = axRadius, h = 2 * ringThickness, $fn = axEdges);
                    }
                }
            }
        }
    }
    for(i = [-1:2:1])
    {
        translate([i * (axRadius + 2 * ringRadius), 0, 0])
        {
            difference()
            {
                cylinder(r = ringRadius, h = ringThickness);
                translate([0, 0, -0.1])
                {
                    cylinder(r1 = axRadius, r2 = axRadius + nozzleRadius, h = ringThickness + 0.2, $fn = axEdges);
                }
            }
        }
    }
}

module ring()
{
    difference()
    {
        union()
        {
            difference()
            {
                cylinder(r1 = outerRadius, r2 = ringRadius, h = ringThickness);
                translate([-outerRadius, 0, -0.1])
                {
                    cube(2 * outerRadius + 0.2);
                }
            }
            cylinder(r = ringRadius, h = ringSpacer);
        }
        translate([0, 0, -0.1])
        {
            cylinder(r = axRadius + nozzleRadius, h = ringSpacer + 0.2, $fn = axEdges);
        }
    }
}
```


[User]
Hi! I'm looking to design a funnel attachment for my KitchenAid stand mixer. I'd like it to have a mounting base that fits snugly onto the rim of my bowl and then a funnel section that extends upwards and outwards.

Specifically, the mount should grip the bowl by friction, so I need to be able to adjust the following parameters:

*   `mountRadius`: This is the radius of the ring that grips the bowl, and I've measured it at 52.5mm.  I'll want to be able to adjust this so I can make it slightly smaller for a snug fit.
*   `mountHeight`: The height of the mounting ring is about 16mm. This should be adjustable as well.
*   `funnelBaseRadius`: This is the inner radius of the bowl where the funnel sits.  My bowl's inner radius is 107mm.
*   `funnelTopOverhang`: This is how much the funnel extends out from the base radius at the top, currently 25mm.
*  `funnelHeight`: The overall height of the funnel part is 25mm.
*   `thickness`: The wall thickness of the entire part, set at 3mm, needs to be configurable.
*  `outerThickness`: This is the outer thickness of the mounting ring at 6mm and should be configurable.

The funnel section should start at the `funnelBaseRadius` and transition smoothly outward and upward to create a proper funnel shape. I'd like to have the ability to adjust all of the dimensions, as I've listed above.

I'd like the design to be parametric, with clear variable names for easy adjustment later. It would also be helpful if the code was well-commented. Please make the code easy to modify for different bowl and KitchenAid models, so I can reuse it later.

For the output, I'd like the design to be a single OpenSCAD file with all the parameters and the shapes defined. I am not familiar with any libraries for OpenSCAD, and I am requesting a completely new parametric design. I can handle a single file.

[Assistant]
funnel.scad:
```
//  Amount of segments in a circle
$fn = 100;

//  Radius of the ring on your KitchenAid
mountRadius = 52.5;

//  Height of the attachment ring
mountHeight = 16;

//  Inner radius of your bowl
funnelBaseRadius = 107;

//  Overhang of the funnel at the top
funnelTopOverhang = 25;

funnelHeight = 25;

//  Wall thickness
thickness = 3;

//  Thickness of the bowl
outerThickness = 6;

rotate([0, 0, -90])
{
    funnelAssembly();
}

module funnelAssembly()
{
    union()
    {
        mountBase();
        funnel();
    }
}

module mountBase()
{
    linear_extrude(height = mountHeight)
    {
        difference()
        {
            union()
            {
                circle(r = mountRadius + thickness);
                square(funnelBaseRadius);
            }
            circle(r = mountRadius);
            difference()
            {
                translate([thickness, thickness, 0])
                {
                    square(funnelBaseRadius);
                }
                circle(r = mountRadius + thickness);
            }
        }
    }
}

module funnel()
{
    funnelAngle = atan(funnelHeight / funnelTopOverhang);
    tx = thickness / sin(funnelAngle);

    difference()
    {
        intersection()
        {
            cube([funnelBaseRadius + funnelTopOverhang + tx, funnelBaseRadius + funnelTopOverhang + tx, funnelHeight]);
            rotate_extrude()
            {
                rotate([0, 0, 0])
                {
                    polygon(    points  =   [   [funnelBaseRadius, 0],
                                                [funnelBaseRadius + tx, 0],
                                                [funnelBaseRadius + tx + funnelTopOverhang, funnelHeight],
                                                [funnelBaseRadius + funnelTopOverhang, funnelHeight],
                                                [funnelBaseRadius + mountHeight / tan(funnelAngle), mountHeight],
                                                [funnelBaseRadius, mountHeight],
                                            ]);
                }
            }
        }
        intersection()
        {
            translate([thickness, thickness, 0])
            {
                cube([funnelBaseRadius + funnelTopOverhang + tx, funnelBaseRadius + funnelTopOverhang + tx, funnelHeight]);
            }
            rotate_extrude()
            {
                rotate([0, 0, 0])
                {
                    polygon(    points  =   [   [funnelBaseRadius, 0],
                                                [funnelBaseRadius, funnelHeight],
                                                [funnelBaseRadius + funnelTopOverhang, funnelHeight],
                                            ]);
                }
            }
        }
    }
}
```


[User]
Hey, I need a parametric washer design in OpenSCAD. I've got some basic dimensions I want to be able to tweak: the outer radius, the inner radius, and the width (thickness) of the washer. I'd also like to control the $fa and $fs variables to adjust the fineness of the rendering.

I've included a basic SCAD file below that achieves this result but want something that is a bit more robust and easy to modify going forward. The design is very simple, it's just a cylinder subtracted from another cylinder.

```
outer_r = 4.0; // mm
width = 1.0; // mm
inner_r = 2.0; // mm

$fa = 1.0;
$fs = 0.1;

difference()
{
    cylinder(h=width, r=outer_r, center=true);
    cylinder(h=width+1.0, r=inner_r, center=true);
}
```

So, can you generate an OpenSCAD file that handles this? I think that it'd be useful to make this a module that I can call from a larger design. I think this would help with the parametric aspect too. I don't have any particular needs for specific library dependencies - any libraries that you think would help would be fine.

[Assistant]
Parametrisable_Spacer.scad:
```
outer_r = 4.0; // mm
width = 1.0; // mm
inner_r = 2.0; // mm

$fa = 1.0;
$fs = 0.1;

difference()
{
    cylinder(h=width, r=outer_r, center=true);
    cylinder(h=width+1.0, r=inner_r, center=true);
}
```


[User]
I need a parametric design for an LM8UU linear bearing holder, specifically for a Graber bed setup. I've included a basic SCAD file as a starting point, but I want to make it more customizable and robust.

Here’s what I need:

*   **Base:** The base should have a customizable height, width, and length (currently, length is somewhat fixed). The base should have a central cube section for added stability, as in the example.
*   **Bearing Housing:** The main cylindrical housing for the LM8UU bearing should be able to accommodate different bearing sizes by a parameter (currently just LM8UU). The housing should be connected to the base.
*   **Mounting Holes:** There should be two mounting holes on the base for securing it to the bed. The radius of the mounting holes, and their offset from the center should be adjustable. I'd also like the mounting holes to be able to go through the full depth of the base or only partially go through.
*   **Overall:**  The overall dimensions should be parametric, so the user can easily adjust for different Graber bed setups.
*   **Orientation:** I want to be able to control the orientation of the model easily; the existing code flips the model.
*   **OpenSCAD Libraries:** Please ensure to use only standard OpenSCAD library features or external libraries, if needed. I don't want to use any specific external libraries in the design itself, just OpenSCAD.

Please provide me with one or more OpenSCAD files that I can use for this design. I’d like to be able to customize these parameters:

*   `baseHeight`
*   `baseWidth`
*  `baseLength`
*   `bearingRadius` (to accommodate different bearing sizes)
*   `mountingHoleRadius`
*   `mountingHoleOffset` (distance from the center)
* `mountingHolePartial` (Boolean to select whether to go partially or fully through the base with the mounting holes)
*   `orientation` (e.g., using a rotation vector or single rotation angle around a specific axis)

Thanks in advance for your help!

[Assistant]
Suporte_Rolamento_LM8UU.scad:
```
BaseHeight = 4;
BaseWidth = 23.5;
HoleRadius = 1.5;
LMRadius = 8;

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

translate([0,0,12])
    rotate([180,0,0])
        comFuro();

module base(){
    translate([0,0,9+BaseHeight/2])
        cube([22,BaseWidth,BaseHeight],center=true);
    translate([0,0,8])
        cube([20,14,6],center=true);
    rotate([0,90,0]){
        difference(){
            cylinder(h=20,r=LMRadius+1,center=true);
            translate([8,0,0])cube([23,23,32],center=true);
        }
    }
}
module comFuro(){
    difference()
    {
        y = (BaseWidth/2)-1-HoleRadius;
        base();
        rotate([0,90,0])
            cylinder(h=24,r=LMRadius,center=true);
        translate([0,y,10])
            cylinder(r=HoleRadius,h=5,center=true);
        translate([0,-y,10])
            cylinder(r=HoleRadius,h=5,center=true);
    }
}
```


[User]
I'm looking to design a rack and pinion system in OpenSCAD, and I need some help getting started. I'd like the design to be parametric, allowing me to easily adjust various aspects like the number of teeth, circular pitch, pressure angle, and thickness.

Specifically, I need two main modules: one for the rack and one for the pinion. The rack should be a linear gear with teeth that match the pinion. I want to be able to specify the number of teeth on the pinion and the overall length of the rack by specifying a number of rack teeth. I also want the rack and pinion to work together, with the pinion rotating as it moves along the rack.

The design should utilize the `involute_gears.scad` library from the MCAD library for generating the gear tooth profiles. I'd like to control the gear parameters via variables:
* `thickness`: The thickness of the rack and pinion
* `circular_pitch`: The circular pitch of the gear teeth.
* `number_of_pinion_teeth`: The number of teeth on the pinion.
* `number_of_rack_teeth`: The number of teeth on the rack.
* `pressure_angle`: The pressure angle for the gear teeth.
* `spacing_between_objects`: The distance between the rack and pinion

I need the code to calculate the pitch radius, addendum, dedendum, root radius etc. based on the parameters provided and the equations for involute gears. I'd like the output to show the computed pitch radius, outer radius, diametral pitch, addendum, and dedendum so I can check if they are what I expect. I'd also like the code to display the length of the teeth on the rack so I know the rack's overall size.

For animation purposes, I'd like the pinion to move along the rack as the `$t` variable changes from 0 to 1. Additionally, the pinion should rotate along with the motion of the rack. The motion should be smooth, with the rack and pinion ending at their start positions.

Could you generate the necessary OpenSCAD files with these features?

[Assistant]
rack_and_pinion.scad:
```
use <MCAD/involute_gears.scad>

thickness = 4;

circular_pitch=180;
number_of_pinion_teeth=16; // [12:1:200]
number_of_rack_teeth=0; // [0:1:1000]
pressure_angle = 28;

spacing_between_objects = 0; // [0:real, 5:apart]

function pitch_radius(number_of_teeth, circular_pitch) = (number_of_teeth * circular_pitch / 180) / 2;

function linear_tooth_size(number_of_teeth, circular_pitch) =
    2*sin(360/number_of_teeth/2)*pitch_radius(number_of_teeth, circular_pitch);

module rack(circular_pitch, number_of_pinion_teeth, number_of_rack_teeth, thickness,
pressure_angle=28,
clearance=0.2)

{
    pitch_diameter  =  number_of_pinion_teeth * circular_pitch / 180;
    pitch_radius = pitch_diameter/2;

    base_radius = pitch_radius*cos(pressure_angle);

    // Diametrial pitch: Number of teeth per unit length.
    pitch_diametrial = number_of_pinion_teeth / pitch_diameter;

    // Addendum: Radial distance from pitch circle to outside circle.
    addendum = 1/pitch_diametrial;

    //Outer Circle
    outer_radius = pitch_radius+addendum;

    // Dedendum: Radial distance from pitch circle to root diameter
    dedendum = addendum + clearance;

    root_radius = pitch_radius-dedendum;
    half_thick_angle = (360 / number_of_pinion_teeth) / 4;

    echo("pitch_radius", pitch_radius);
    echo("outer_radius", outer_radius);
    echo("pitch_diametrial", pitch_diametrial);
    echo("addendum", addendum);
    echo("dedendum", dedendum);

    O = 360/number_of_pinion_teeth;
    th=2*sin(O/2)*pitch_radius;
    rack_teeth=number_of_rack_teeth;
    echo("tooth_length", th);
    echo("rack_length", th*rack_teeth);

    union() {
        for (i=[0:rack_teeth]) {
            translate([0,i*th,0])
            linear_extrude(thickness)
            involute_gear_tooth(
                pitch_radius=pitch_radius,
                root_radius=root_radius,
                base_radius=base_radius,
                outer_radius=outer_radius,
                half_thick_angle=half_thick_angle,
                involute_facets=0);
        }
        cube([root_radius,th*rack_teeth, thickness]);
    }
}

module pinion(circular_pitch, number_of_teeth, thickness, pressure_angle=28, clearance=0.2) {
    rotate([0,0,(number_of_teeth % 2 == 0) ? 180/number_of_teeth:0])
    gear(number_of_teeth=number_of_teeth,
            circular_pitch=circular_pitch,
            pressure_angle=pressure_angle,
            clearance = clearance,
            gear_thickness=thickness,
            rim_thickness=thickness,
            rim_width=5,
            hub_thickness=4,
            hub_diameter=4,
            bore_diameter=5,
            circles=0,
            backlash=0,
            twist=0,
            involute_facets=0,
            flat=false);

}

anim_phase = $t > 0.5 ? (1-$t) : $t;

th = linear_tooth_size(number_of_pinion_teeth, circular_pitch);

num_rack_teeth = number_of_rack_teeth > 0 ? number_of_rack_teeth : ceil(number_of_pinion_teeth)/2;
translate([0,-th*number_of_pinion_teeth*anim_phase,0])
rack(circular_pitch, number_of_pinion_teeth, num_rack_teeth, thickness, pressure_angle);

translate([spacing_between_objects, 0, 0])
translate([pitch_radius(number_of_pinion_teeth, circular_pitch)*2,0,0])
    rotate([0,0,anim_phase*360]) {
        color([0.3, 0.5, 0.8])
        pinion(circular_pitch, number_of_pinion_teeth, thickness, pressure_angle);

    }
$fs=0.5;

//ma=15;
//d=18;
//echo(cos(ma)*d);
```


[User]
Hi, I'm looking to create a sun shield for my FPV monitor, and I'd like to use OpenSCAD to make it parametric so I can adjust it for different monitors in the future. I'd like to be able to specify the dimensions of the monitor and the shield, and have the design generate automatically.

Here's what I need:

**Monitor Dimensions:** I need parameters for `Monitor_Width`, `Monitor_Height`, and `Monitor_Depth`.

**Shield Dimensions:**
*   `Shield_Height`:  The height of the shield itself.
*  `Shield_Cover_Width`:  The width of the top cover (to limit it because of printer limitations).
*   `Shield_Tickness`:  The thickness of the shield walls.
*   `Monitor_Top_Lock_Tab_Width`: Width of the top locking tab
* `Monitor_Bottom_Lock_Tab_Width`: Width of the bottom locking tab.

**Clips:**
*   I'll need adjustable clips on the side to attach it to the monitor, spaced out along the width.
* The clips should have a parameter for `clipHeight`, the height of the clips.
*   Each clip should use standard screws, so I'll need parameters for `screwDiameter` and `screwCapDiameter`.
* The clips should have two screw holes.

**Lockers:**
*  I want to include "locker" tabs that press against the monitor on the side and top. These should have a parameter for `lockerSize` (the width of the tab)

**Other:**

*   I want a rubber band clip on the bottom of the sides. The dimensions don't need to be parametric, but it should be incorporated in the side parts.
* The top should have a simple box shape, with tabs that fit inside the side walls.
* The sides should fit around the monitor, and connect to the top
* The final design should have a function to assemble the parts together, so I can see what it will look like.
* I'd also like a function to export the individual parts. It would be very useful if I could specify a "part" variable to choose which component I would like to render. I envision `1` being the top, `2` and `3` being the sides, and `4` and `5` being the clips, and `6` to assemble all of them together.

I'm not sure which libraries would be best, but I think simple shapes like cubes, cylinders, and `difference()` operations are most of what I'll need. I'd like to have everything in one or a few files. Let me know if you have any questions!

[Assistant]
sunshade.scad:
```
/* [Monitor] */

Monitor_Width = 172;
Monitor_Height = 113;
Monitor_Depth = 20;

/* [Shield] */

// Which part would you like to see?
part = 6;  //[1:Top, 2:Left Side, 3:Right Side, 4:Clip Part 1, 5:Clip part 2, 6:Everything togheter]

// Shield Height
Shield_Height = 90; // [60:150]
// Because of my printer´s limitation, i had to limit the width of the top cover, use this to configure it
Shield_Cover_Width = 164;
Monitor_Top_Lock_Tab_Width = 5;
Monitor_Bottom_Lock_Tab_Width = 10;
// Tickness of all walls, 2 is good enough
Shield_Tickness = 2; //[2:4]

/* [Hidden] */

lockerSize = 14;
clipHeight = 20;
screwDiameter = 3.5;
screwCapDiameter = 5.5;

if(part < 6){
/*
Use this function to export the parts
1 = Top;
2 = Left Side;
3 = Right Side;
4 = Clip Part 1;
3 = Clip part 2;
*/
print(part);
}else{
// Use this function to see how everything looks like togheter
BuildEverythings();
}

module print(piece){
    if (piece == 1)
        rotate([90,0,0]) top();

    if (piece == 2)
        rotate([0,90,0]) left();

    if (piece == 3)
        rotate([0,-90,0]) right();

    if (piece == 4)
        clipLeft();

    if (piece == 5)
        clipRight();
}

module BuildEverythings(){
#translate([0,0,Shield_Tickness]) monitor();
color([0.5,0.5,1]) translate([4,-Shield_Tickness * 2 + Shield_Tickness * 0.05,Shield_Tickness]) top();
color([0.2,0.5,0.6]) translate([-Shield_Tickness,-Shield_Tickness * 3,0]) right();
color([0.2,0.5,0.6]) translate([Monitor_Width + Shield_Tickness,-Shield_Tickness * 3,0]) left();
    translate([-(Shield_Tickness * 3),-(Shield_Tickness * 5),10]) adjustableClips();
}

module monitor(){
    cube([Monitor_Width, Monitor_Height,Monitor_Depth]);
}

module top(){
    cube([Shield_Cover_Width,Shield_Tickness * 0.9,Shield_Height + Monitor_Depth - Shield_Tickness]);
    translate([lockerSize,Shield_Tickness * 0.90,0]) cube([Shield_Cover_Width - lockerSize * 2,Shield_Tickness * 0.9, Shield_Tickness]);
}

module right(){
    difference(){
        cube([Shield_Tickness,Monitor_Height + Shield_Tickness * 3,Shield_Height + Monitor_Depth]);
        translate([-0.5,Monitor_Height + Shield_Tickness * 3,Monitor_Depth + Shield_Height/2 - 20]) rotate([50,0,0])  cube([Shield_Tickness+1, Monitor_Height, Shield_Height * 3]);
    }

    // Top lockers
    translate([Shield_Tickness,0,0]) cube([lockerSize,Shield_Tickness,Shield_Height + Monitor_Depth]);
    translate([Shield_Tickness,Shield_Tickness * 2,0]) cube([lockerSize,Shield_Tickness,Shield_Height + Monitor_Depth]);
    translate([Shield_Tickness,Shield_Tickness,0]) cube([lockerSize,Shield_Tickness,Shield_Tickness]);

    // Monitor Lockers
    translate([Shield_Tickness,Shield_Tickness,0]) cube([Monitor_Bottom_Lock_Tab_Width,Monitor_Height,Shield_Tickness]);
    translate([Shield_Tickness,Shield_Tickness * 2,Monitor_Depth + Shield_Tickness]) cube([Monitor_Top_Lock_Tab_Width,Monitor_Height - Shield_Tickness,Shield_Tickness]);

    // Rubber locker
    difference(){
        translate([0,Monitor_Height - 10,-5]) cube([9,6,5]);
        translate([-0.5,Monitor_Height - 10.5,-3]) cube([4,7,5.5]);
    }
}

module left(){
    mirror([1,0,0]) right();
}

module adjustableClips(){

   clipRight();
   translate([(Monitor_Width -  Monitor_Width / 2 + Shield_Tickness * 3) ,0,0])clipLeft();

}

module clipLeft(){
        cube([Monitor_Width / 2 +Shield_Tickness , Shield_Tickness * 2, clipHeight]);
    translate([Monitor_Width / 2 +Shield_Tickness ,0,0])  cube([Shield_Tickness * 2, Monitor_Height/3, clipHeight]) ;
    difference(){
        translate([-(Monitor_Width / 3),-(Shield_Tickness * 2),0]) cube([Monitor_Width / 2 +Shield_Tickness , Shield_Tickness * 2, clipHeight]);

        translate([-(Monitor_Width / 3.3),0.5,clipHeight/2]) rotate([90,0,0]) cylinder(d = screwDiameter, h = Shield_Tickness * 2 + 1, $fn = 40) ;

        translate([-(Monitor_Width / 5),0.5,clipHeight/2]) rotate([90,0,0]) cylinder(d = screwDiameter, h = Shield_Tickness * 2 + 1, $fn = 40) ;
    }
    translate([Monitor_Width / 5 - Shield_Tickness * 2,0,0]) cylinder(h= clipHeight, r= Shield_Tickness * 2);
}

module clipRight(){
    difference(){
        translate([Shield_Tickness * 2,0,0]) cube([Monitor_Width / 2.5 + Shield_Tickness , Shield_Tickness * 2, clipHeight]) ;

    translate([20,-0.5,(clipHeight - screwDiameter) / 2 ]) cube([Monitor_Width / 3.5,Shield_Tickness * 2 + 1, screwDiameter]);

        translate([20,Shield_Tickness * 2 - 2,(clipHeight - screwCapDiameter) / 2 ]) cube([Monitor_Width / 3.5,2.1, screwCapDiameter]);
    }
    cube([Shield_Tickness * 2, Monitor_Height/3, clipHeight]) ;
}

module roundedcube(xdim ,ydim ,zdim,rdim){
hull(){
translate([rdim,rdim,0])cylinder(h=zdim,r=rdim);
translate([xdim-rdim,rdim,0])cylinder(h=zdim,r=rdim);

translate([rdim,ydim-rdim,0])cylinder(h=zdim,r=rdim);
translate([xdim-rdim,ydim-rdim,0])cylinder(h=zdim,r=rdim);
}
}
```


[User]
I'd like to create a rounded-end bracket with holes along its length, and I'd like it to be parametric so I can easily change dimensions later. The bracket should have a rectangular center section and rounded ends. I'll need to specify the overall length, the width of the rectangular section, the height of the bracket, the diameter of the holes, and their positions relative to the center of the bracket.

Could you generate an OpenSCAD file for me that does this? I'm imagining something along the lines of these parameters:

*   `height`: The height of the bracket (how thick it is).
*   `width`: The width of the rectangular part of the bracket.
*   `total_length`: The overall length of the bracket from end to end.
*   `hole_diameter`: The diameter of each hole.
*   `hole_distances_from_center`: A list of distances from the center of the bracket where the holes should be placed.

I'd like to define those parameters at the beginning of the file so I can easily modify them.

[Assistant]
rounded_bracket.scad:
```
height = 1.0; // mm
width = 10.0; // mm
total_length = 50.0; //mm

hole_diameter = 5.0; // mm
hole_distances_from_center = [-20:10:20]; // mm

$fa = 1.0;
$fs = 1.0;

difference()
{
    union()
    {
        cube([total_length - width, width, height], center=true);
        {
            for (sign = [+1,-1])
            translate([(total_length - total_length/2 - width/2)*sign, 0, 0])
            {
                cylinder(r=width/2, h=height, center=true);
            };
        };
    };
    union()
    {   for (hole_distance_from_center = hole_distances_from_center)
        translate([hole_distance_from_center, 0, 0])
        {
            cylinder(r=hole_diameter/2, h=height + 1.0, center=true);
        };
    }
}
```


[User]
I'm looking for an OpenSCAD design for a clip that can temporarily hold cardboard box flaps closed, kind of like a binder clip but for thicker material. I've got a box with 6.5mm thick walls, but I'd like it to be adjustable for other thicknesses too. The clip should have a main body that fits over the box wall, and then have some sort of protrusions to lock the flap in place. I've got an idea of the general shape, which I can explain if it helps. Basically, the main part of the clip will consist of two kind of trapezoidal "shields," one larger that goes on one side of the box wall, and another smaller one that fits inside. Then on one of those shields, the one that's outside the box, there should be little "bumpers" that grab onto the flap.

So, the key parameters need to be the box wall thickness, which will call `paperthick` (like in the code example). Then there's the overall length of the clip, which I'll call `clipsize`. There's also a `clipshortside`, which controls a specific dimension of the trapezoid's short side of each shield. And finally `clipthick` which is the thickness of the clip parts.

The clip's main body is essentially two "shields". The larger shield on the outside has a kind of trapezoidal shape, a short side defined by `clipshortside`. The other shield has matching geometry but smaller, just to fill in the gap inside the cardboard thickness, and is separated by the `paperthick` distance from the other shield.  The main shield has those bumpers on one of the long sides, to lock the box flap in. These are sort of small, triangular protrusions. The bumpers on one side are pointing up and the bumpers on the other side are pointing down so that if you have two flaps from a box, it will grab both. I think it would be great if the size and placement of these bumpers were also parametrically defined.

Could you generate an OpenSCAD file that implements this? I do *not* need any specific libraries for this project.

[Assistant]
paperboxclips.scad:
```

paperthick=6.5;
clipsize=80;
clipshortside=10;
clipthick=2;

module shield (shortSideLength, longSideLength, shieldThick) {
    /*
        z
        ^
        |       4________3
        |       /        \
        |      /         /2
        |     /         /
        |  5 /         /
        |    \________/
        |     0      1
       -+-----------------> y
        |

                __
        length( 05 ) : shortSideLength.
             __  __
        dist(05, 23) : longSideLength.

    */
    polyhedron(
        points = [ [0,shortSideLength,0],
                   [0,(longSideLength/2+shortSideLength*sqrt(3)/2)*2.0/sqrt(3),0],
                   [0,(longSideLength/2+shortSideLength*sqrt(3)/2)*2.0/sqrt(3)+((longSideLength/2+shortSideLength*sqrt(3)/2)*2/sqrt(3)-shortSideLength)/2,((longSideLength/2+shortSideLength*sqrt(3)/2)*2/sqrt(3)-shortSideLength)*sqrt(3)/2],
                   [0,(longSideLength/2+shortSideLength*sqrt(3)/2)*2.0/sqrt(3)+((longSideLength/2+shortSideLength*sqrt(3)/2)*2/sqrt(3)-shortSideLength)/2-shortSideLength/2,(longSideLength/2+shortSideLength*sqrt(3)/2)],
                   [0,(longSideLength/2+shortSideLength*sqrt(3)/2)/sqrt(3), (longSideLength/2+shortSideLength*sqrt(3)/2)],
                   [0,shortSideLength/2,shortSideLength*sqrt(3)/2],

                   [shieldThick,shortSideLength,0],
                   [shieldThick,(longSideLength/2+shortSideLength*sqrt(3)/2)*2.0/sqrt(3),0],
                   [shieldThick,(longSideLength/2+shortSideLength*sqrt(3)/2)*2.0/sqrt(3)+((longSideLength/2+shortSideLength*sqrt(3)/2)*2/sqrt(3)-shortSideLength)/2,((longSideLength/2+shortSideLength*sqrt(3)/2)*2/sqrt(3)-shortSideLength)*sqrt(3)/2],
                   [shieldThick,(longSideLength/2+shortSideLength*sqrt(3)/2)*2.0/sqrt(3)+((longSideLength/2+shortSideLength*sqrt(3)/2)*2/sqrt(3)-shortSideLength)/2-shortSideLength/2,(longSideLength/2+shortSideLength*sqrt(3)/2)],
                   [shieldThick,(longSideLength/2+shortSideLength*sqrt(3)/2)/sqrt(3), (longSideLength/2+shortSideLength*sqrt(3)/2)],
                   [shieldThick,shortSideLength/2,shortSideLength*sqrt(3)/2],
        ],
        faces = [ [0,1,2], [0,2,3], [0,3,4], [0,4,5],
                  [6,8,7], [6,9,8], [6,10,9], [6,11,10],
                  [0,7, 1], [0,6, 7],
                  [1,8, 2], [1,7, 8],
                  [2,9, 3], [2,8, 9],
                  [3,10,4], [3,9, 10],
                  [4,11,5], [4,10,11],
                  [5,6, 0], [5,11,6]
        ]
    );
}

module bumper1 (length) {
    polyhedron(
        points = [ [0,length,0],
                [0,length/2,length*sqrt(3)/2],
                [0,length-1/sqrt(3)*2,0],
                [0,length/2-1/2,length*sqrt(3)/2-1*sqrt(3)/2],
                [-1,length,0],
                [-1,length/2,length*sqrt(3)/2],
        ],
        faces = [ [0,3,1], [0,2,3],
                 [5,1,3],
                 [0,4,2],
                 [4,0,1], [4,1,5],
                 [2,4,3], [4,5,3]
        ]
    );
}

module bumper2(length) {

    polyhedron(
        points = [ [0,-length/2,-length*sqrt(3)/2],
                [0,-length,0],
                [0,-length/2+1/2,-length*sqrt(3)/2+1*sqrt(3)/2],
                [0,-length+1,0],
                [-1,-length/2-sqrt(3)/2,-length*sqrt(3)/2+sqrt(3)],
                [-1,-length,0]
        ],
        faces = [ [0,1,3], [0,3,2],
                 [1,5,3],
                 [4,0,2],
                 [4,1,0], [4,5,1],
                 [2,3,4], [4,3,5]
        ]
    );
}

bShortSide = 0.75 * clipshortside + 0.25 * (clipsize/2+clipshortside*sqrt(3)/2)/sqrt(3)*2;
bTooth1Side = 0.5 * clipshortside + 0.5 * (clipsize/2+clipshortside*sqrt(3)/2)/sqrt(3)*2;
bTooth2Side = 0.25 * clipshortside + 0.75 * (clipsize/2+clipshortside*sqrt(3)/2)/sqrt(3)*2;

union() {

    shield(clipshortside, clipsize, clipthick);

    shield((clipshortside/2*sqrt(3)+clipsize/2)/sqrt(3)*2-clipthick/sqrt(3),clipthick,paperthick+clipthick);

    translate ([clipthick + paperthick,0,0]) {
        shield(bShortSide, clipsize+clipshortside*sqrt(3)-bShortSide*sqrt(3), clipthick);
        bumper1(bTooth1Side);
        bumper1(bTooth2Side);
        translate([0,(clipsize/2+clipshortside*sqrt(3)/2)*2.0/sqrt(3)+((clipsize/2+clipshortside*sqrt(3)/2)*2/sqrt(3))/2,((clipsize/2+clipshortside*sqrt(3)/2))]) {
            bumper2(bTooth1Side);
            bumper2(bTooth2Side);
        }
    }
}

```


[User]
I'd like to create a customizable maze, specifically a cylindrical one. I found some inspiration in a Thingiverse project ([Maze generator, pure OpenSCAD](https://www.thingiverse.com/thing:1185425)), which shows some cool examples like pen holders, saucers, and rings made with generated mazes.

I'm looking for an OpenSCAD file that allows me to control the following parameters:

*   `wall_height`: The height of the maze walls.
*   `wall_thickness`: The thickness of the maze walls.
*   `cylinder_radius`: The radius of the cylindrical maze.
*   `cylinder_height`: The overall height of the cylindrical maze.
*   `vertical_blocks`: The number of divisions vertically in the maze.
*   `horizontal_blocks`: The number of divisions horizontally in the maze.

The maze should be generated randomly, so each time I run it with the same parameters, it should create a unique maze layout. The structure should be a cylinder, and the maze should be contained within that cylinder, similar to the examples I linked to.

I don't need any special libraries, just standard OpenSCAD functions.

[Assistant]
maze_cylinder.scad:
```
wall_height = 5;
wall_thickness = 4;

cylinder_radius = 40;
cylinder_height = 100;

vertical_blocks = 10;
horizontal_blocks = 20;

/*
 * 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;

/*
 * modules for creating a maze
 *
 */

function PI() = 3.14159;

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);
       }
}

module horizontal_wall(radius, angle_from, length, thickness = 1, height = 1) {
    angle_difference = 180 * length / (PI() * radius);
    angle_to = angle_from + angle_difference;
    linear_extrude(thickness) arc(radius, [angle_from, angle_to], height);
}

module vertical_wall(radius, angle_from, length, thickness = 1, height = 1) {
     translate([0, 0, thickness]) mirror([0, 0, 1]) horizontal_wall(radius, angle_from, thickness, length + thickness, height);
}

module maze_cylinder(cylinder_r_h, blocks_v_h, maze_vector, wall_thickness = 1, wall_height = 1) {
    cylinder_r = cylinder_r_h[0];
    cylinder_h = cylinder_r_h[1];
    v_blocks = blocks_v_h[0];
    h_blocks = blocks_v_h[1];

    step_angle = 360 / h_blocks;

    horizontal_wall_length = 2 * PI() * cylinder_r / h_blocks;
    vertical_wall_length = cylinder_h / v_blocks;

    vertical_wall_angle = wall_thickness * 180 / (PI() * cylinder_r);

    for(vi = [0:len(maze_vector) - 1]) {
        cord = maze_vector[vi];
        i = cord[0] - 1;
        j = cord[1] - 1;
        v = cord[3];

        if(v == 1 || v == 3) {
            translate([0, 0, -j * vertical_wall_length])
                horizontal_wall(cylinder_r, i * step_angle, horizontal_wall_length, wall_thickness, wall_height);
        }
        if(v == 2 || v == 3) {
            translate([0, 0, -j * vertical_wall_length])
                vertical_wall(cylinder_r, i * step_angle + step_angle - vertical_wall_angle, vertical_wall_length, wall_thickness, wall_height);
        }
    }

    translate([0, 0, -cylinder_h])
         horizontal_wall(cylinder_r, 0, 2 * PI() * cylinder_r, wall_thickness, wall_height);

     translate([0, 0, -cylinder_h]) cylinder(h=cylinder_h + wall_thickness, r=cylinder_r, $fn=96);
}

/*
 * 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
            )
        )
    );

maze_vector = go_maze(1, 1, vertical_blocks, horizontal_blocks, replace([horizontal_blocks, 1, 0, UP_RIGHT_WALL()], [horizontal_blocks, 1, 0, UP_WALL()], init_maze(vertical_blocks, horizontal_blocks)));

maze_cylinder([cylinder_radius, cylinder_height], [vertical_blocks, horizontal_blocks], maze_vector, wall_thickness, wall_height);

```


[User]
Hey there, I'm looking to create a parametric container system for a Sortimo-style storage system, and I'd like to do this with OpenSCAD. I already have a design concept in mind, but need help generating the OpenSCAD code to make it flexible.

Essentially, I want to be able to define containers with adjustable dimensions and dividers. The containers will have a rectangular base, and the key parameters should be:

*   **x_length:** The length of the container along the X-axis, in units of "Sortimo units". (A Sortimo unit is about 39mm wide)
*   **y_length:** The length of the container along the Y-axis, also in "Sortimo units", where 1 Sortimo unit is about 53.5mm. This is a bit longer than the width because Sortimo drawers typically are longer than they are wide.
*   **height:** The overall height of the container. I'll want to be able to specify this as a fraction of the total system height (91mm). For example, 1/12, 1/6, 1/4, 1/3, 1/2, and 2/3rds of 91mm.
*   **x_divisions:** The number of internal dividers along the X-axis.
*   **y_divisions:** The number of internal dividers along the Y-axis.

The container walls should be created by hulling cylinders at the corners and using a difference operation to remove the inner space. The dimensions given above should refer to the *outer* dimensions of the container. The dividers should be simple rectangular cuboids. The dividers should only go to the top of the specified height for the container. The dividers should only be located in the gaps between the "compartment" defined by the `_divisions` parameter, so that there is always a full compartment on the outside edge of the container.

I'd also like a parameter called `divider_height_subtract`. If it is set to zero, the dividers should go all the way up to the specified `height`. Otherwise, this parameter lets the user define a small space at the top of the divider.

To clarify on the x and y units, x_length = 1 should mean 39mm in width, and y_length = 1 should mean 53.5mm in length (outer dimensions, please). If x_length = 2, the outer dimensions should be 39 * 2, and likewise for y_length.

Can you create an OpenSCAD file for this, using no external libraries? I plan to use the generated containers with a system whose base is described on the [Thingiverse page](http://www.thingiverse.com/thing:1229465), so I don't need the base included in this design.

[Assistant]
stanley_container.scad:
```
x_length = 2;
y_length = 2;
x_divisions = 0;
y_divisions = 1;
height = 29.33; //[91:Full Height,59.66:2/3 Height,44.5:1/2 Height,29.33:1/3 Height,21.75:1/4 Height,14.166:1/6 Height,6.5833:1/12 Height]

// So long as the dividers line up with a compartment size (x - 1 or x/2 -1, same for y), leave 0.  Otherwise set to something like 2.
divider_height_subtract = 0;

// ignore variable values
divider_height = height - divider_height_subtract;

module stanley_container(x, y, x_div, y_div, height=29, divider_height=divider_height) {
    difference() {
        hull() {
            translate([3,3,0]) cylinder(height,3,3,$fn=25);
            translate([39*x-3,3,0]) cylinder(height,3,3,$fn=25);
            translate([3,53.5*y-3,0]) cylinder(height,3,3,$fn=25);
            translate([39*x-3,53.5*y-3,0]) cylinder(height,3,3,$fn=25);
        }
        hull() {
            translate([5,5,2]) cylinder(height,3,3,$fn=25);
            translate([39*x-5,5,2]) cylinder(height,3,3,$fn=25);
            translate([5,53.5*y-5,2]) cylinder(height,3,3,$fn=25);
            translate([39*x-5,53.5*y-5,2]) cylinder(height,3,3,$fn=25);
        }
    }
    if (x_div > 0) {
        for(i = [1:x_div]) {
            compartment = (39*x)/(x_div + 1);
            translate([compartment * i - 1,0,0]) cube([2, 53.5*y, divider_height]);
        }
    }
    if (y_div > 0) {
        for(i = [1:y_div]) {
            compartment = (53.5*y)/(y_div + 1);
            translate([0,compartment * i - 1,0]) cube([39*x, 2, divider_height]);
        }
    }
}

// 1/12 = 6.5833 * 12 + 12 = 91
// 1/6 = 14.166 * 6 + 6 = 91
// 1/4 = 21.75 * 4 + 4 = 91
// 1/3 = 29.33 * 3 + 3 = 91
// 5/12 = 37.92 + (29.33 + 1) + (21.75 + 1) = 90
// 1/2 = 44.5 * 2 + 2 = 91
// 2/3 = 59.66 + 1 + 29.33 + 1 = 90
// 1 = 91
stanley_container(x_length,y_length,x_divisions,y_divisions,height);
//translate([0,53.5-1,0]) cube([39*2, 2, 36.5]);
//translate([39-1,0,0]) cube([2, 53.5*2, 36.5]);

```


[User]
I'm looking to create a customizable base for Stanley organizers, specifically the ones with two bins on either side of the handle. I want to be able to specify the x and y dimensions (where y represents the longer sortimo axis) and whether or not the "middle" bins have nubs or not.

To be clear, the base will be a flat rectangle with cylinders/nubs on the corners to fit inside the organizer. I want to be able to make the base for two "side" bins, and a combined base with nubs inside the bins as well, depending on user choice.

Here's a more detailed breakdown of what I need:

*   **Parametric Design:** I need a module that takes `x` and `y` parameters, which define the number of bins along each axis. I also need a `middle_nubs` parameter with options "yes" or "no" (or maybe a boolean).
*   **Base Shape:** The base should be a hull that is formed from four cylinders located in the corners of the overall shape.
*   **Nubs:** If `middle_nubs` is set to yes, then the base should include cylindrical nubs within the bounds of the bins. The nubs should be arranged in a grid based on the number of bins. If no, then nubs should only be placed in the corners of the overall area that the base covers.
*   **Bin Area:** There needs to be a cutout within each bin where the base will rest and sit flush.
*   **Units:** Please use millimeters for dimensions.
*   **Constants:** The nubs should be 8mm in diameter with a height of 7.7 mm. The cylinders that define the base shape should have a diameter of 3mm and a height of 3mm.  The "cutout" for the interior of the bins should be 33x47.5 and 3.1 mm high, and offset by 3mm on the x and y axis from each nub. The x distance between nubs is 39mm and the y distance is 53.5mm

I'm not picky on the internal naming of variables, and I'd prefer if you didn't try to make it exactly the same as the .scad file I provided. It's only here for reference.

Could you generate the OpenSCAD file for me? I don't think I'd need any libraries for this.

[Assistant]
stanley_base.scad:
```
x_length = 2;
y_length = 2;

// The stanley cases have two bins on either side of the handle.  Those bins need to only have nubs on the corners.  The side bins should also be 2 for both x an y
middle_nubs = "yes"; // [yes,no]

// ignore variable values
middle = middle_nubs == "yes";

module stanley_base(x, y, middle=true) {
    hull() {
        translate([3,3,0]) cylinder(1,3,3,$fn=25);
        translate([39*x-3,3,0]) cylinder(1,3,3,$fn=25);
        translate([3,53.5*y-3,0]) cylinder(1,3,3,$fn=25);
        translate([39*x-3,53.5*y-3,0]) cylinder(1,3,3,$fn=25);
    }
    if (middle) {
        intersection() {
            union() {
                for (i = [0:x]) {
                    for (j = [0:y]) {
                        translate([39*i,53.5*j,0]) cylinder(3,8,7.7,$fn=100);
                    }
                }
            }
            union() {
                for (i = [1:x]) {
                    for (j = [1:y]) {
                        translate([39*(i-1), 53.5*(j-1), 0]) translate([3,3,0]) cube([33,47.5,3.1]);
                    }
                }
            }
        }
    } else {
        intersection() {
            union() {
                translate([39*0,53.5*0,0]) cylinder(3,8,7.7,$fn=100);
                translate([39*0,53.5*y,0]) cylinder(3,8,7.7,$fn=100);
                translate([39*x,53.5*0,0]) cylinder(3,8,7.7,$fn=100);
                translate([39*x,53.5*y,0]) cylinder(3,8,7.7,$fn=100);
           }
           union() {
                for (i = [1:x]) {
                    for (j = [1:y]) {
                        translate([39*(i-1), 53.5*(j-1), 0]) translate([3,3,0]) cube([33,47.5,3.1]);
                    }
                }
            }
        }
    }
}

stanley_base(x_length, y_length, middle);
```
stanley_base.scad:
```
x_length = 2;
y_length = 2;

// The stanley cases have two bins on either side of the handle.  Those bins need to only have nubs on the corners.  The side bins should also be 2 for both x an y
middle_nubs = "yes"; // [yes,no]

// ignore variable values
middle = middle_nubs == "yes";

module stanley_base(x, y, middle=true) {
    hull() {
        translate([3,3,0]) cylinder(1,3,3,$fn=25);
        translate([39*x-3,3,0]) cylinder(1,3,3,$fn=25);
        translate([3,53.5*y-3,0]) cylinder(1,3,3,$fn=25);
        translate([39*x-3,53.5*y-3,0]) cylinder(1,3,3,$fn=25);
    }
    if (middle) {
        intersection() {
            union() {
                for (i = [0:x]) {
                    for (j = [0:y]) {
                        translate([39*i,53.5*j,0]) cylinder(3,8,7.7,$fn=100);
                    }
                }
            }
            union() {
                for (i = [1:x]) {
                    for (j = [1:y]) {
                        translate([39*(i-1), 53.5*(j-1), 0]) translate([3,3,0]) cube([33,47.5,3.1]);
                    }
                }
            }
        }
    } else {
        intersection() {
            union() {
                translate([39*0,53.5*0,0]) cylinder(3,8,7.7,$fn=100);
                translate([39*0,53.5*y,0]) cylinder(3,8,7.7,$fn=100);
                translate([39*x,53.5*0,0]) cylinder(3,8,7.7,$fn=100);
                translate([39*x,53.5*y,0]) cylinder(3,8,7.7,$fn=100);
           }
           union() {
                for (i = [1:x]) {
                    for (j = [1:y]) {
                        translate([39*(i-1), 53.5*(j-1), 0]) translate([3,3,0]) cube([33,47.5,3.1]);
                    }
                }
            }
        }
    }
}

stanley_base(x_length, y_length, middle);
```


[User]
I'd like to create a customizable maze container in OpenSCAD, kind of like a puzzle box. The maze should be on the outside of a cylinder. I've seen a few examples online, but I need something I can easily tweak the dimensions of.

Here's the gist of how I imagine it working:

*   **Shape:** It's a cylindrical container.
*   **Maze Walls:** The maze walls should be extruded outwards from the cylinder's surface.
*   **Maze Generation:** The maze should be randomly generated using a recursive backtracker algorithm. I think that's what the linked example uses. This means the path should be guaranteed to be solvable, and every area in the grid should be reachable.
*   **Parameters:** I need to be able to control these through OpenSCAD parameters:
    *   `wall_height`: The height of the maze walls.
    *   `wall_thickness`: The thickness of the maze walls.
    *   `cylinder_radius`: The radius of the main cylinder.
    *   `cylinder_height`: The height of the main cylinder.
    *   `vertical_blocks`: How many "rows" of maze cells there are vertically.
    *   `horizontal_blocks`: How many "columns" of maze cells there are horizontally.

I think the key to the design is how the cylinder is broken into blocks, and the walls drawn between those blocks based on the output of the maze generation algorithm.

Could you please provide me with the OpenSCAD code that does this? I would prefer it if all code was in one file; I don't really want to have to deal with multiple files. I'm also not using any external libraries.

[Assistant]
random_maze_container.scad:
```
wall_height = 2;
wall_thickness = 1;

cylinder_radius = 80;
cylinder_height = 25;

vertical_blocks = 5;
horizontal_blocks = 50;

/*
 * 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;

/*
 * modules for creating a maze
 *
 */

function PI() = 3.14159;

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);
       }
}

module horizontal_wall(radius, angle_from, length, thickness = 1, height = 1) {
    angle_difference = 180 * length / (PI() * radius);
    angle_to = angle_from + angle_difference;
    linear_extrude(thickness) arc(radius, [angle_from, angle_to], height);
}

module vertical_wall(radius, angle_from, length, thickness = 1, height = 1) {
     translate([0, 0, thickness]) mirror([0, 0, 1]) horizontal_wall(radius, angle_from, thickness, length + thickness, height);
}

module maze_cylinder(cylinder_r_h, blocks_v_h, maze_vector, wall_thickness = 1, wall_height = 1) {
    cylinder_r = cylinder_r_h[0];
    cylinder_h = cylinder_r_h[1];
    v_blocks = blocks_v_h[0];
    h_blocks = blocks_v_h[1];

    step_angle = 360 / h_blocks;

    horizontal_wall_length = 2 * PI() * cylinder_r / h_blocks;
    vertical_wall_length = cylinder_h / v_blocks;

    vertical_wall_angle = wall_thickness * 180 / (PI() * cylinder_r);

    for(vi = [0:len(maze_vector) - 1]) {
        cord = maze_vector[vi];
        i = cord[0] - 1;
        j = cord[1] - 1;
        v = cord[3];

        if(v == 1 || v == 3) {
            translate([0, 0, -j * vertical_wall_length])
                horizontal_wall(cylinder_r, i * step_angle, horizontal_wall_length, wall_thickness, wall_height);
        }
        if(v == 2 || v == 3) {
            translate([0, 0, -j * vertical_wall_length])
                vertical_wall(cylinder_r, i * step_angle + step_angle - vertical_wall_angle, vertical_wall_length, wall_thickness, wall_height);
        }
    }

    translate([0, 0, -cylinder_h])
         horizontal_wall(cylinder_r, 0, 2 * PI() * cylinder_r, wall_thickness, wall_height);

     translate([0, 0, -cylinder_h]) cylinder(h=cylinder_h + wall_thickness, r=cylinder_r, $fn=96);
}

module maze_container(cylinder_r_h, blocks_v_h, wall_thickness = 1, wall_height = 1) {
    maze_vector = go_maze(1, 1, vertical_blocks, horizontal_blocks, replace([horizontal_blocks, 1, 0, UP_RIGHT_WALL()], [horizontal_blocks, 1, 0, UP_WALL()], init_maze(vertical_blocks, horizontal_blocks)));

    cylinder_r = cylinder_r_h[0];
    cylinder_h = cylinder_r_h[1];

    difference() {
        maze_cylinder([cylinder_radius, cylinder_height], [vertical_blocks, horizontal_blocks], maze_vector, wall_thickness, wall_height);

        translate([0, 0, -cylinder_h + wall_thickness])
            cylinder(h=cylinder_h + wall_thickness, r=cylinder_r - wall_height, $fn=96);
    }
}

/*
 * 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
            )
        )
    );

maze_container([cylinder_radius, cylinder_height], [vertical_blocks, horizontal_blocks], wall_thickness, wall_height);

```


[User]
I'd like to design a customizable maze ring, something like what's described in the provided text. The maze should be wrapped around a cylinder, and I want to control the dimensions of the cylinder, the thickness and height of the walls, and the density of the maze itself.

Specifically, I need the design to be parametric so I can adjust the following:

*   `wall_height`: The height of the maze walls.
*   `wall_thickness`: The thickness of the maze walls.
*   `cylinder_radius`: The radius of the cylindrical maze.
*   `cylinder_height`: The height of the cylindrical maze.
*   `vertical_blocks`: The number of blocks vertically in the maze. This dictates the number of layers in the maze.
*   `horizontal_blocks`: The number of blocks horizontally around the cylinder.

The maze itself should be generated algorithmically, and it should be a standard, single-solution type maze. The code should produce a single OpenSCAD file, and you can use the built-in OpenSCAD primitives, without relying on any external libraries. I want to be able to easily regenerate the maze with different parameters.

[Assistant]
maze_ring.scad:
```
wall_height = 1;
wall_thickness = 1;

cylinder_radius = 10;
cylinder_height = 8;

vertical_blocks = 5;
horizontal_blocks = 25;

/*
 * 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;

/*
 * modules for creating a maze
 *
 */

function PI() = 3.14159;

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);
       }
}

module horizontal_wall(radius, angle_from, length, thickness = 1, height = 1) {
    angle_difference = 180 * length / (PI() * radius);
    angle_to = angle_from + angle_difference;
    linear_extrude(thickness) arc(radius, [angle_from, angle_to], height);
}

module vertical_wall(radius, angle_from, length, thickness = 1, height = 1) {
     translate([0, 0, thickness]) mirror([0, 0, 1]) horizontal_wall(radius, angle_from, thickness, length + thickness, height);
}

module maze_cylinder(cylinder_r_h, blocks_v_h, maze_vector, wall_thickness = 1, wall_height = 1) {
    cylinder_r = cylinder_r_h[0];
    cylinder_h = cylinder_r_h[1];
    v_blocks = blocks_v_h[0];
    h_blocks = blocks_v_h[1];

    step_angle = 360 / h_blocks;

    horizontal_wall_length = 2 * PI() * cylinder_r / h_blocks;
    vertical_wall_length = cylinder_h / v_blocks;

    vertical_wall_angle = wall_thickness * 180 / (PI() * cylinder_r);

    for(vi = [0:len(maze_vector) - 1]) {
        cord = maze_vector[vi];
        i = cord[0] - 1;
        j = cord[1] - 1;
        v = cord[3];

        if(v == 1 || v == 3) {
            translate([0, 0, -j * vertical_wall_length])
                horizontal_wall(cylinder_r, i * step_angle, horizontal_wall_length, wall_thickness, wall_height);
        }
        if(v == 2 || v == 3) {
            translate([0, 0, -j * vertical_wall_length])
                vertical_wall(cylinder_r, i * step_angle + step_angle - vertical_wall_angle, vertical_wall_length, wall_thickness, wall_height);
        }
    }

    translate([0, 0, -cylinder_h])
         horizontal_wall(cylinder_r, 0, 2 * PI() * cylinder_r, wall_thickness, wall_height);

     translate([0, 0, -cylinder_h]) cylinder(h=cylinder_h + wall_thickness, r=cylinder_r, $fn=96);
}

module maze_ring(cylinder_r_h, blocks_v_h, wall_thickness = 1, wall_height = 1) {
    maze_vector = go_maze(1, 1, vertical_blocks, horizontal_blocks, replace([horizontal_blocks, 1, 0, UP_RIGHT_WALL()], [horizontal_blocks, 1, 0, UP_WALL()], init_maze(vertical_blocks, horizontal_blocks)));

    cylinder_r = cylinder_r_h[0];
    cylinder_h = cylinder_r_h[1];

    difference() {
        maze_cylinder([cylinder_radius, cylinder_height], [vertical_blocks, horizontal_blocks], maze_vector, wall_thickness, wall_height);

        translate([0, 0, -cylinder_h - wall_thickness])
            cylinder(h=cylinder_h + wall_thickness * 3, r=cylinder_r - wall_height / 2, $fn=96);
    }
}

/*
 * 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
            )
        )
    );

maze_ring([cylinder_radius, cylinder_height], [vertical_blocks, horizontal_blocks], wall_thickness, wall_height);

```


[User]
Hey, I'm looking to design a cool 3D-printable object, and I need some help with the OpenSCAD code. I have this image in my head of a sphere-like structure made out of intersecting rings. Basically, think of three rings that are like the equator and the meridians of a sphere, but then you have to rotate and duplicate those to make nine rings total.

Specifically, I want the following:

*   **Rings:** The main structure will consist of nine tori (rings), as described above. There are three base rings (one on each plane, X, Y and Z) and then each ring gets duplicated into another ring by a 45-degree rotation, and then duplicated again by a -45-degree rotation, for a total of nine rings in all.
*   **Parameters:**
    *   I want to be able to control the inner radius of these rings. Let's call that `Inner_Radius`.
    *   I also need a parameter for the radius (thickness) of each ring, which I'll call `Ring_Radius`.
*   **Optional Hanging Loop:** I want the option to add a loop at the "top" of the structure for hanging. This should be controlled by a boolean `Generate_Loop`. If true, it should add a loop.
    *   The loop should have its own parameters for inner radius `Loop_Inner_Radius` and thickness `Loop_Radius`.
*   **Optional Inner Sphere:** Similarly, I want the option to include a sphere inside the ring structure, so that I can use it as a cat toy. This should be controlled by the boolean parameter `Generate_Ball`. If true, there should be a sphere in the center.
    *   The sphere should have a parameter `Ball_Radius` for its radius.
*   **Resolution:** Finally, I'd like to control the resolution of the whole thing, by setting `$fn`, using the parameter `Resolution`.

I'd like all of these parameters to be easily modifiable. I think that's everything, let me know if you need anything else.

[Assistant]
Cool_Sphere.scad:
```
/* Cool Sphere
 * By Antyos
 * Can be either a hangabable object or a cat toy or something else
 */
// Inner radius of the rings
Inner_Radius = 15;
// The thickness (radius) of each of the rings
Ring_Radius = 1.25;
// Generates a loop on top of the sphere
Generate_Loop = "false"; // [true, false]
// Inner Radius of the loop
Loop_Inner_Radius = 1.75;
// Thickness of the loop
Loop_Radius = 1;
// Generates the center sphere
Generate_Ball = "false"; // [true, false]
// Radius of inner ball
Ball_Radius = 8.75;
// Resolution of everything; Lower resolution generates faster but is not as smooth
Resolution = 50;

$fn = Resolution; // Set the resolution of the model

// Module for creating the rings
module torus(inRad, ringRad){
    rotate_extrude()// Revolve the circle to make the torus
    translate([inRad+ringRad,0,0]) // Move into position for the correct ring inner radius
    circle(r = ringRad);

}

// Create the 3 rings of each plane (XYZ)
for(i = [[0,0,1],[0,1,0],[1,0,0]],  // Each plane
    j = [[0,0,0],[1,1,0],[-1,-1,0]]){ // Each group
    rotate(45*j) // Each group rotation
    rotate(90, i) // Each circle of the base 3
    torus(Inner_Radius, Ring_Radius); // Draw ring
}

// Create the loop on the top
if(Generate_Loop == "true"){
    translate([0,0,Inner_Radius+(Ring_Radius*2)+Loop_Inner_Radius]) // Move the loop up into position
    rotate(90,[0,1,0]) // Rotate the ring
    torus(Loop_Inner_Radius, Loop_Radius); // Draw loop
}

// Create the ball inside
if(Generate_Ball == "true")
    sphere(r = Ball_Radius);

```


[User]
Okay, I need a custom label tape holder designed. I have a bunch of those Brother P-Touch label tape cartridges, and they're just a mess in a box right now. I want to create a holder with multiple slots to keep them organized and easily accessible.

Here's what I'm envisioning:

*   **Cartridge Dimensions:** The cartridges are roughly 88mm wide, 16.5mm tall, and 68mm deep.
*   **Number of Slots:** I'd like this to be parametric, so I can specify how many cartridges it should hold (maybe with a range of 1 to 10), defaulting to 5.
*   **Wall Thickness:** I'd like the walls of the holder to be a set thickness, which should be a variable so I can tweak it - let's say a range between 3mm and 5mm and defaulting to 4mm.
*   **Orientation:** The cartridges should sit in the holder with the label opening facing forward so I can see the label type. I imagine each slot would have a bottom and a back, with a sloping ramp or back wall that matches the shape of the cartridge. The sides should be open, though, to allow me to easily take out a cartridge.
*   **Overall Structure:** The holder should be a box with separate slots cut out for each cartridge. The cartridges should be held in place firmly. The slots should have space between them, equal to the wall thickness, and extra wall thickness around the outside of the entire structure.
*   **Parametric Design:** I’d like it to be completely parametric, so I can easily adjust the number of cartridges, and the wall thickness.

Can you generate an OpenSCAD file (or files if necessary) for this? I don’t have any complex requirements but i would like it to be clean and well commented. Thanks!

[Assistant]
Label_Tape_Holder.scad:
```
// label tape holder
// by ido roseman, 2015

// variable description
number_of_tapes = 5; // [1:10]
wall_width = 4; // [3:5]

//cartridge size
cx = +88;
cy = +16.5;
cz = +68;

module Cartridge ()
{
    difference()
    {
        cube([cx,cy,cz]);
        translate([0, cy, 0])
          rotate([90, 0, 0])
            linear_extrude(height=cy)
              polygon([[0,0],[0,8],[30,0]]);
    }
}

difference()
{
    cube([cx+2*wall_width, number_of_tapes*(cy+wall_width)+wall_width, (cz/2)+wall_width]);
    for (i=[0:number_of_tapes-1])
        translate([wall_width,i*(cy+wall_width)+wall_width,wall_width])
            Cartridge();
}

```


[User]
Hi, I'd like a parametric phone stand design that can hold multiple phones, ideally generated as OpenSCAD code. I'm thinking something along the lines of the design I'm including, but I need it to be created from scratch and be a bit more flexible.

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

*   **Overall dimensions:** The stand should have a `stand_height`, `stand_width`, and `stand_depth`.
*   **Phone holding:**
    *   `phone_depth` for the thickness of the phone.
    *   A `phone_lip` to keep the phone from sliding.
    *   A `phone_angle` to determine how the phone leans back.
    *   `phone_adjust_depth_pct` and `phone_adjust_height_pct` to adjust the position of the phone support on the main stand. These will be percentages of the `stand_depth` and `stand_height`, respectively.
*   **Charging:**
    *   `charger_width` for a cutout to accommodate a charging port.
    *   `cord_width` for a separate cutout for the charging cord itself.
*   **Slot details:**
    *   `slot_taper_pct` to add a taper to the slot for easier insertion of the phone. This should be a percentage of the available height above the phone support.
*   **Structural:**
    *   `wall_thickness` for the overall material thickness.
*   **Multiple phones:**
    *   `phone_count` to specify the number of phones the stand can hold side-by-side.

I'd also like it to be rendered using a convexity of 3. Can we also try to implement some type of rotate function, where if I set a parameter `rotate_view = 0`, no rotation occurs, if I set `rotate_view = 1`, it's rotated 180 degrees about Z, and `rotate_view = 2` is rotated 90 degrees about Z followed by a 90 degree rotation about X?

I'm envisioning a base with slots for phones spaced evenly, and with each slot having its own charging port and cord openings.  I don't need any special libraries included for this.

Thanks!

[Assistant]
custom_phone_stand.scad:
```
//
// Customizable Phone Stand
// version 1.0   11/21/2015
// by Steve Van Ausdall (DaoZenCiaoYen @ Thingiverse)
//

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

/* [Main] */
// in inches
stand_height = 3.5 ; // [2:0.1:5]
// in inches
stand_width = 2.8 ; // [2:0.1:5]
// in inches
stand_depth = 2.8 ; // [2:0.1:5]
// in inches
phone_depth = 0.5 ; // [0.3:0.1:1]
// in inches
phone_lip = 0.2 ; // [0:0.1:0.5]
// in degrees
phone_angle = 27 ; // [10:35]
// in percent of stand depth
phone_adjust_depth_pct = 10 ; // [-20:1:10]
// in percent of stand height
phone_adjust_height_pct = -10 ; // [-20:1:10]
// the hole for the charger connetor in inches
charger_width = 0.5 ; // [0:0.1:1.5]
// the width of the charger cord in inches
cord_width = 0.15 ; // [0:0.05:1.5]
// in percent of possible height
slot_taper_pct = 30 ; // [0:5:100]
// in inches
wall_thickness = 0.15 ; // [0.1:0.05:0.5]
// number of phones
phone_count = 2; // [1:1:10]

/* [Hidden] */
mm_in = 25.4 ;
thick = mm(wall_thickness) ;
phone_y = (stand_height/2) + (phone_adjust_height_pct*stand_height/100) ;
phone_x = (stand_depth/2) + (phone_adjust_depth_pct*stand_depth/100) ;
slot_taper = (stand_height - phone_y) * slot_taper_pct/100 ;
ff = 0.01 ;
bf = 1 ;
$fn=16 ;

function mm(in) = in * mm_in ;

main();

module main()
{
  render(convexity = 3)
  {
    rotate_z(2)
    {
      difference()
      {
        stand();
        cord_slots();
        charger_slots();
      }
    }
  }
}

module rotate_z(yn)
{
  if (yn == 0)
  {
    children(0);
  }
  else if (yn == 1)
  {
    rotate([0,0,180])
      translate([mm(-stand_depth/2),mm(-stand_height/2)-thick/2,mm(stand_width/2)])
      children(0);
  }
  else
  {
    rotate([0,0,-90])
      translate([mm(-stand_depth/2),0,thick/2])
      rotate([90,0,0])
      children(0) ;
  }
}

module cord_slots()
{
  for (slot = [0:phone_count-1])
    cord_slot(slot);
}

module cord_slot(slot)
{
  offset = (stand_width * slot) - ((phone_count - 1) * stand_width * 0.5);
  translate([-thick,thick*1.5+ff,mm(offset -cord_width/2)])
    linear_extrude(height=mm(cord_width))
    offset(thick)
    cord_slot_shape();
}

module charger_slots()
{
  for (slot = [0:phone_count-1])
    charger_slot(slot);
}

module charger_slot(slot)
{
  offset = (stand_width * slot) - ((phone_count - 1) * stand_width * 0.5);
  translate([mm(phone_x)-thick/2,mm(phone_y)-thick,mm(offset)])
    rotate([0,0,phone_angle])
    rotate([0,90,0])
    linear_extrude(height=mm(phone_depth)+thick+ff)
    polygon(points=[
      [0,mm(slot_taper)+thick*2],
      [mm(charger_width/2),thick*2],[mm(charger_width/2),0],
      [-mm(charger_width/2),0],[-mm(charger_width/2),thick*2]
    ]);
}

module stand()
{
  translate([0,0,mm(-(stand_width * phone_count) /2)])
    linear_extrude(height=mm(stand_width * phone_count))
    stand_outline();
}

module stand_outline()
{
  difference()
  {
    offset(r=thick/2) stand_shape();
    offset(r=-thick/2) stand_shape();
  }
}

module cord_slot_shape()
{
  square([mm(phone_x)+thick/2,mm(stand_height)]);
}

module stand_shape()
{
  difference()
  {
    square([mm(stand_depth),mm(stand_height)]);
    translate([mm(phone_x),mm(phone_y)])
      rotate([0,0,phone_angle])
      translate([0,mm(-phone_y-bf)])
      difference()
      {
        square([mm(stand_depth+bf),mm(stand_height+bf*2)]);
        square([mm(phone_depth)+thick,mm(phone_y+bf)]);
        translate([mm(phone_depth)+thick,0])
          square([mm(phone_lip),mm(phone_y+bf+phone_lip)]);
      };
  }
}
```


[User]
I'm looking to create a customizable box with a lid in OpenSCAD. I'd like the design to be parametric so I can easily adjust the dimensions and wall thickness.

Here's what I'm envisioning:

*   **Box Dimensions:** I need to be able to set the height, width, and depth of the box's interior.
*   **Wall Thickness:**  A parameter to control the thickness of the box walls.
*   **Lid:** The lid should fit snugly on top of the box, with a little bit of spacing for easy removal. The lid's height should also be adjustable.
*   **Rounded Corners:** The box and lid should have rounded corners. I'd like to be able to control the radius of these.
*   **Tolerance:** There should be a small tolerance value to account for printing variations, ensuring parts fit together properly. This tolerance should be applied to the main dimensions, and the spacing between the box and lid.
* **Library Usage:** I would prefer to stick to vanilla OpenSCAD if possible.

I'm picturing something similar to the example I've provided, but I would like you to generate a clean version for me.

[Assistant]
box.scad:
```

/* [Configurations] */
Object_Height = 92;
Object_Width = 65;
Object_Depth = 43;
Wall_Tickness = 5;// 5mm is good enough
Cover_Height = 25;

/* [hidden] */
$fn = 50;
Tolerance = 0.1;
Cover_Spacing = 0.5;
Rounded_Corner = 5;

caixa();
translate([0 ,-5 ,Cover_Height]) rotate([180,0,0])  tampa(0);

module caixa(){
    difference(){
    roundedcube(Object_Width + Tolerance + (Wall_Tickness * 2), Object_Depth + Tolerance + (Wall_Tickness * 2), Object_Height + Tolerance + Wall_Tickness, Rounded_Corner,Rounded_Corner,Rounded_Corner,Rounded_Corner);
    translate([Wall_Tickness, Wall_Tickness, Wall_Tickness]) cube([Object_Width + Tolerance, Object_Depth + Tolerance, Object_Height + Tolerance + 1]);
    // Recorte da tampa
    translate([0,-0,(Object_Height + 1) - Cover_Height + (Wall_Tickness * 2)]) tampa(Cover_Spacing);
    }

}

module simbolo(rotation){
    union()
	{
		rotate([90,0,rotation]) resize([larguraLogo,alturaLogo,profundidadeLogo]) import("logo.stl");
	}
}

module tampa(folga){
    difference(){
    translate([-folga/2,-folga/2,0]) roundedcube(Object_Width + Tolerance + (Wall_Tickness * 2) + folga, Object_Depth + Tolerance + (Wall_Tickness * 2) + folga, Cover_Height, Rounded_Corner,Rounded_Corner,Rounded_Corner,Rounded_Corner);
    translate([(Wall_Tickness + folga)/2, (Wall_Tickness + folga) /2, -Wall_Tickness]) roundedcube(Object_Width + Tolerance + Wall_Tickness - folga, Object_Depth + Tolerance +Wall_Tickness - folga, Cover_Height , Rounded_Corner, Rounded_Corner, Rounded_Corner, Rounded_Corner);
    }
}

module cartas(){
#cube([Object_Width, Object_Depth, Object_Height]);
}

module roundedcube(xdim ,ydim ,zdim,rdim1, rdim2, rdim3, rdim4){
    hull(){
        translate([rdim1,rdim1,0]) cylinder(r=rdim1, h=zdim);
        translate([xdim-rdim2,rdim2,0]) cylinder(r=rdim2, h=zdim);

        translate([rdim3,ydim-rdim3,0]) cylinder(r=rdim3, h=zdim);
        translate([xdim-rdim4,ydim-rdim4,0]) cylinder(r=rdim4, h=zdim);
    }
}

```


[User]
I need a parametric design for an endstop holder, and I'd like to use OpenSCAD. The holder needs to have a few key features and be customizable via parameters.

First, the basic shape should be a rectangular block with a mounting section that extends upwards at a 90-degree angle. The main block will have mounting holes on the vertical face of that extension.

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

*   `vertical`: The vertical spacing between the two pairs of mounting holes.
*   `horizontal`: The horizontal spacing between the mounting holes in each vertical pair.
*   `holes_offset`: The offset of the mounting holes from the bottom of the vertical extension.
*   `hole_radius`: The radius of the mounting holes.
*   `axel_radius`: The radius of the cylindrical support for an axel.
*   `axel_support_height`: The height of that cylindrical axel support.

The main block should have a thickness of 4 units. The vertical extension should have a base thickness of 10 units and increase to 8+vertical units. There should also be an axel support cylinder, positioned as shown in the provided SCAD. The axel support should have a 15 unit deep base that is also a block. It should also have support struts added to it. The axel support block should protrude from the primary base of the endstop holder.

The mounting holes should be created using difference operations on the main shape, and they should extend through the entire structure. The x and y positions of the holes can be determined using the parameters listed above. The mounting holes should also exist on both the main and vertical faces of the endstop holder. I need two vertical pairs.

I'd also like bevels on the top left and right edges of the extension, and on the bottom left edge of the main base.

I don't need the blue coloring on the object.

Finally, please ensure that the code is well-commented and easy to understand. I don't need any additional libraries.

[Assistant]
endstop_holder.scad:
```
/* [Holes Spacing] */

vertical = 11;
horizontal = 22.3;

holes_offset = 15;

hole_radius = 1.5;

axel_radius = 8.1;

axel_support_height = 21;

difference() {
	union() {
		cube([4,23++holes_offset,10]);  //4,45,10
        translate([0,22+holes_offset,0]) cube([4,10+horizontal,8+vertical]);
		translate([axel_radius, 15,0]) cylinder(h = axel_support_height, r = axel_radius, $fn = 50);
        cube([axel_radius*2, 15,10]);

        color("Blue",0.4);
        //bevel([0,22,20],4,20,1);
       add_bottom_right([0,22+holes_offset,10],4,4);

	}
       bevel_top_left([0,22+holes_offset,8+vertical],4,100);
       bevel_top_right([0,32+horizontal+holes_offset,8+vertical],4,100);
       bevel_top_left([0,0,10],2,100);

	translate([axel_radius, 15,0]) cylinder(h = axel_support_height, r = axel_radius/2, $fn = 50);
	translate([axel_radius/2+0.1, 0, 0]) cube([axel_radius-0.2, 13,axel_support_height]);
	translate([-10, 6, 5]) rotate(a=[0, 90, 0]) cylinder(h = 200, r = hole_radius, $fn= 20);

    //holes
	translate([-10, 28+holes_offset, 5]) rotate(a=[0, 90, 0]) cylinder(h = 30, r = hole_radius, $fn= 20);
	translate([-10, 28+horizontal+holes_offset, 5]) rotate(a=[0, 90, 0]) cylinder(h = 30, r = hole_radius, $fn= 20);
    translate([-10, 28+holes_offset, 5+vertical]) rotate(a=[0, 90, 0]) cylinder(h = 30, r = hole_radius, $fn= 20);
	translate([-10, 28+horizontal+holes_offset, 5+vertical]) rotate(a=[0, 90, 0]) cylinder(h = 30, r = hole_radius, $fn= 20);

	translate([axel_radius*2,6,5]) cube([2,3.5,6], center=true);
	translate([axel_radius*2,6,5]) rotate(a=[60,0,0]) cube([2,3.5,6], center=true);
	translate([axel_radius*2,6,5]) rotate(a=[120,0,0]) cube([2,3.5,6], center=true);
}

module bevel1(pos=[0,0,0],radius=2,depth=10) {
    difference() {
        difference () {
            translate([0,0,radius*2]) cube([depth,radius*2,radius*2]);
            translate([0,radius,0-radius]) rotate(a=[0, 90, 0]) cylinder(h = depth, r = radius, $fn= 20);
        }
       // translate([0,radius,0-radius*2]) cube([depth,radius,radius*2]);
         //translate([0,0,0-radius*2]) cube([depth,radius*2,radius]);
    }
}

module bevel_top_left(pos=[0,0,0],radius=20,depth=10) {
    bevel(pos,radius,depth,[1,-1],[-1,0]);
}
module bevel_top_right(pos=[0,0,0],radius=20,depth=10) {
    bevel(pos,radius,depth,[-1,-1],[0,0]);
}

module add_bottom_right(pos=[0,0,0],radius=20,depth=10) {
    bevel(pos,radius,depth,[-1,1],[0,-1]);
}

module bevel(pos=[0,0,0],radius=20,depth=10,factor=[1,-1],t=[-1,0]) {

    translate([pos[0],pos[1]+radius*factor[0],pos[2]+radius*factor[1]])
    difference(){
        difference(){
            translate([0,-radius,-radius]) cube([depth,radius*2,radius*2]);
            difference(){
                translate([0,-radius,-radius]) cube([depth,radius*2,radius*2]);
                translate([0,radius*t[0],radius*t[1]]) cube([depth,radius,radius]);
            }
        }
        rotate(a=[0, 90, 0]) cylinder(h = depth, r = radius, $fn= 50);
    }
}
```