[User]
Okay, I need a parametric design for a storage box, specifically a screw and nut organizer, that I can print. I want it to have customizable dividers, a lid, hinges, and optionally a handle.

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

*   **Box Dimensions:**
    *   `box_height`: The overall height of the box.
    *   The length and width of the box should be determined by the number of dividers and their dimensions (see below).
*   **Wall Thickness:**
    *   `wall_width`: The thickness of the box walls.
    *   `cover_wall_width`: The thickness of the cover's walls.
*   **Divider Parameters:**
    *   `divider`: A boolean value to enable or disable dividers.
    *   `divider_length_number`: The number of dividers along the length of the box.
    *   `divider_length`: The length of each divider section.
    *   `divider_width_number`: The number of dividers along the width of the box.
    *   `divider_width`: The width of each divider section.
*   **Cover Parameters:**
    *   `cover`: A boolean value to enable or disable the cover.
*  **Hinge Parameters:**
    *   `hingle_width`: The width of the hinge
    *   `handle_autoroscante`: A boolean value to specify if the hinge uses a self-tapping screw or a regular nut/screw.
*   **Handle Parameters:**
    *   `handle`: A boolean value to enable or disable a handle on the cover.
    *   `handle_length`: The length of the handle.
    *   `handle_width`: The width of the handle.
*   **Margin:**
     *   `margin`: A small margin for proper fit of the box components.

I'd like the design to generate separate models based on a `print` parameter which will determine if I want to print the base, the cover, or a divider. This will be a string which has values "B" (base), "C" (cover) or "D" (divider).

The hinges should be designed to work with M2.5 screws. If `handle_autoroscante` is true, the hinge on the base should have a self-tapping screw hole. Otherwise, it should have a hole for a nut.

I'm not requesting any libraries, and I'd like to have the following modules created in the file:

* `prism(l, w, h)`: to create rectangular prisms, used for hinges.
* `M2_5_tuerca_autoroscante(height)`: creates a self-tapping nut hole.
* `M2_5_tuerca(height)`: creates a regular nut hole.
* `M2_5_tornillo(height)`: creates a screw hole.

I will need the following modules created in the main file as well:
* `build()`: will determine which part to print base, cover, divider.
* `base()`: module for the base of the box with dividers.
* `cover()`: module for the lid including hinges and optional handle.
* `divider()`: module for a single divider.
* `check()`: this module will assemble a base and a cover to check for proper fit and alignment.

Could you generate the OpenSCAD code for me?

[Assistant]
ScrewNutsBox.scad:
```
/*///////////////////////////////////////////////////////////////
              -     By Miguel Angel Vilchez Lopez       -
              -          http://matronica.eu            -
              -     OpenScad  ScrewNutsBox              -
              -           GNU-GPLv3 License             -
/////////////////////////////////////////////////////////////////

16/11/2019  -   Initial job
17/11/2019  -   Finish base & dividers
18/11/2019  -   Cover
19/11/2019  -   Hinges and Handle
20/11/2019  -   All Parametric

////////////////////////////////// - Info - //////////////////////////////////

Parametric StorageBox with cover.

If you make any modification, please share it.

Any comment or suggestion to mangel@matronica.eu

////////////////////////////////////////////////////////////////////*/

////////////////////////////////// - ScrewNutsBox parameters - //////////////////////////////////

/* [Build parameters] */

// - ¿ Que deseas imprimir ? - What do you want to print ?
print = "C"; // [B:base, C:cover, D:Divider]

/* [Box parameters] */

// - Altura de la caja - Box height
box_height = 40; //

// - Anchura de las paredes - Wall width
wall_width = 1.5; //

// - Margen de encaje - Pieces margin
margin = 0.4; //

/* [Divider parameters] */

// - ¿ Deseas imprimir la caja con divisiones ? - Do you want to print dividers ?
divider = 1; // [0:false, 1:true]

// - Numero de agujeros a lo largo - Number of vertical holes
divider_length_number = 1; //

// - Largo del divisor - Divider length
divider_length = 50; //

// - Numero de agujeros horizontales - Number of horizontal holes
divider_width_number = 2; //

// - Ancho del divisor - Divider width
divider_width = 30; //

/* [Cover parameters] */

// - ¿ Deseas imprimir tapa ? - Do you want to print cover ?
cover = 1; // [0:false, 1:true]

// - Anchura de las paredes de la tapa - Cover wall width
cover_wall_width = 5; //

/* [Handle parameters] */

// - ¿ Deseas imprimir tirador ? - Do you want to print handle ?
handle = 1; // [0:false, 1:true]

// - Largo del tirador - Handle length
handle_length = 5; //

// - Ancho del tirador - Handle width
handle_width = 10; //

/* [Hingle parameters] */

// - ¿ Deseas la bisagra autoroscante ? - Do you want the self-tapping hinge ?
handle_autoroscante = 1; // [0:false, 1:true]

// - Ancho de la bisagra - Hingle width
hingle_width = 5; //

////////////////////////////////// - Calculations - //////////////////////////////////

// Get Box size
box_length = divider_length_number*divider_length;
box_width = divider_width_number*divider_width;
echo(box_length=box_length, box_width=box_width);

////////////////////////////////// - Util modules - //////////////////////////////////

module prism(l, w, h){
    polyhedron(
        points=[[0,0,0], [l,0,0], [l,w,0], [0,w,0], [0,w,h], [l,w,h]],
        faces=[[0,1,2,3],[5,4,3,2],[0,4,5,1],[0,3,4],[5,2,1]]
    );
}

module M2_5_tuerca_autoroscante(height) {
    linear_extrude(height = height) circle(1.4,$fn=100);
}

module M2_5_tuerca(height) {
    linear_extrude(height = height) circle(1.5,$fn=100);
    linear_extrude(height = 3) circle(3,$fn=6);
}

module M2_5_tornillo(height) {
    linear_extrude(height = 3) circle(2.5,$fn=100);
    linear_extrude(height = height) circle(1.5,$fn=100);
}

////////////////////////////////// - Module build - //////////////////////////////////

module build() {
    if ( print == "D" ) {
        divider();
    }
    if ( print == "B" ) {
        base();
    }
    if (print == "C") {
        // Cover
        if (cover==1)
        {
            cover();
        }
    };
};

////////////////////////////////// - Module base - //////////////////////////////////

module base() {
    difference() {
        linear_extrude(height = box_height) square([box_width,box_length]);
        translate([wall_width,wall_width,wall_width])
            linear_extrude(height = box_height)
                square([(box_width-2*wall_width),(box_length-2*wall_width)]);
    }
    if (divider == 1) {
        // Separators Y
        for (col = [divider_length:divider_length:box_length-1])
        {
            translate([0,(col-wall_width/2),0]) linear_extrude(height = box_height)
                square([box_width,wall_width]);
        }
        // Separators X
            // Lowers
        for (x = [divider_width:divider_width:box_width-divider_width])
        {
            translate([(x-wall_width/2-wall_width-margin),wall_width,0])
                linear_extrude(height = box_height)
                    square([wall_width,1.5]);
            translate([(x+wall_width/2+margin),wall_width,0])
                linear_extrude(height = box_height)
                    square([wall_width,wall_width]);
        }
            // Intermediate
        for (y =[divider_length:divider_length:box_length-divider_length]) {
            for (x =[divider_width:divider_width:box_width-divider_width]) {
                translate([(x-wall_width/2-wall_width-margin),(y-wall_width/2-wall_width),0])
                    linear_extrude(height = box_height)
                        square([wall_width,wall_width*3]);
                translate([(x+wall_width/2+margin),(y-wall_width/2-wall_width),0])
                    linear_extrude(height = box_height)
                        square([wall_width,wall_width*3]);
            }
        }
            // Uppers
        for (x = [divider_width:divider_width:box_width-divider_width])
        {
            translate([(x-wall_width/2-wall_width-margin),(box_length-wall_width*2),0])
                linear_extrude(height = box_height) square([wall_width,wall_width]);
            translate([(x+wall_width/2+margin),(box_length-wall_width*2),0])
                linear_extrude(height = box_height) square([wall_width,wall_width]);
        }
    }
    // Hinges Box
    if (cover==1)
    {
        // If little make only 1 hinge
        if (divider_width_number <= 2)
        {
            difference() {
                union(){
                    // SUB Left
                    difference(){
                        union() {
                            translate([(box_width/2)-hingle_width+12.5,box_length,box_height-cover_wall_width-15])
                                rotate([90,0,180]) prism(hingle_width,10,8);
                            translate([(box_width/2)-hingle_width+12.5,box_length,box_height-cover_wall_width-15])
                                rotate([90,0,180]) prism(hingle_width,15,6);    // 2º Prism => Better Strength
                            translate([(box_width/2)-hingle_width+12.5,box_length+5,box_height-cover_wall_width-3])
                                rotate([180,90,0]) cylinder(r=4,h=5,$fn=100);
                        }
                        // Screw hole
                        translate([(box_width/2)-hingle_width+12.6,box_length+5,box_height-20+12])
                            rotate([180,90,0]) M2_5_tornillo(hingle_width*2);
                    }
                    // SUB Right
                    difference(){
                        union() {
                            translate([(box_width/2)+1-hingle_width,box_length,box_height-cover_wall_width-15])
                                rotate([90,0,180]) prism(5,10,8);
                            translate([(box_width/2)+1-hingle_width,box_length,box_height-cover_wall_width-15])
                                rotate([90,0,180]) prism(5,15,6);
                            translate([(box_width/2)+1-hingle_width,box_length+5,box_height-cover_wall_width-3])
                                rotate([180,90,0]) cylinder(r=4,h=5,$fn=100);
                        }
                        if (handle_autoroscante == 1) {
                            // Screw hole
                            translate([(box_width/2),box_length+5,box_height-20+12])
                                rotate([180,90,0]) M2_5_tuerca_autoroscante(hingle_width*2);
                        }
                        else {
                            // Nut hole
                            translate([(box_width/2)-hingle_width-4.1,box_length+5,box_height-20+12])
                                rotate([0,90,0]) M2_5_tuerca(hingle_width*2);
                        }
                    }
                }
            }
        }
        else
        {
            // LEFT
            difference() {
                union(){
                    // SUB Left
                    difference(){
                        union() {
                            translate([(box_width/3)*2+hingle_width+margin*2,box_length,box_height-cover_wall_width-15])
                                rotate([90,0,180]) prism(hingle_width,10,8);
                            translate([(box_width/3)*2+hingle_width+margin*2,box_length,box_height-cover_wall_width-15])
                                rotate([90,0,180]) prism(hingle_width,15,6);    // 2º Prism => Better Strength
                            translate([(box_width/3)*2+hingle_width+margin*2,box_length+5,box_height-cover_wall_width-3])
                                rotate([180,90,0]) cylinder(r=4,h=hingle_width,$fn=100);
                        }
                        // Screw hole
                        translate([(box_width/3)*2+hingle_width+margin*2+0.1,box_length+5,box_height-20+12])
                            rotate([180,90,0]) M2_5_tornillo(hingle_width*2);
                    }
                    // SUB Right
                    difference(){
                        union() {
                            translate([(box_width/3)*2-hingle_width-margin*2,box_length,box_height-cover_wall_width-15])
                                rotate([90,0,180]) prism(hingle_width,10,8);
                            translate([(box_width/3)*2-hingle_width-margin*2,box_length,box_height-cover_wall_width-15])
                                rotate([90,0,180]) prism(hingle_width,15,6);
                            translate([(box_width/3)*2-hingle_width-margin*2,box_length+5,box_height-cover_wall_width-3])
                                rotate([180,90,0]) cylinder(r=4,h=hingle_width,$fn=100);
                        }
                        if (handle_autoroscante == 1) {
                            // Screw hole
                            translate([(box_width/3)*2-hingle_width-margin*2,box_length+5,box_height-8])
                                rotate([180,90,0]) M2_5_tuerca_autoroscante(hingle_width*2);
                        }
                        else {
                            // Nut hole
                            translate([(box_width/3)*2-hingle_width*2-margin*2-0.1,box_length+5,box_height-8])
                                rotate([0,90,0]) M2_5_tuerca(hingle_width*2);
                        }
                    }
                }
            }
            // RIGHT
            difference() {
                union(){
                    // SUB Left
                    difference(){
                        union() {
                            translate([(box_width/3)+hingle_width+margin*2,box_length,box_height-cover_wall_width-15])
                                rotate([90,0,180]) prism(hingle_width,10,8);
                            translate([(box_width/3)+hingle_width+margin*2,box_length,box_height-cover_wall_width-15])
                                rotate([90,0,180]) prism(hingle_width,15,6);    // 2º Prism => Better Strength
                            translate([(box_width/3)+hingle_width+margin*2,box_length+5,box_height-cover_wall_width-3])
                                rotate([180,90,0]) cylinder(r=4,h=hingle_width,$fn=100);
                        }
                        if (handle_autoroscante == 1) {
                            // Screw hole
                            translate([(box_width/3)+hingle_width*2+margin*2,box_length+5,box_height-8])
                                rotate([180,90,0]) M2_5_tuerca_autoroscante(hingle_width*2);
                        }
                        else {
                            // Nut hole
                            translate([(box_width/3)+hingle_width+margin*2+0.1,box_length+5,box_height-8])
                                rotate([180,90,0]) M2_5_tuerca(hingle_width*2);
                        }
                    }
                    // SUB Right
                    difference(){
                        union() {
                            translate([(box_width/3)-hingle_width-margin*2,box_length,box_height-cover_wall_width-15])
                                rotate([90,0,180]) prism(hingle_width,10,8);
                            translate([(box_width/3)-hingle_width-margin*2,box_length,box_height-cover_wall_width-15])
                                rotate([90,0,180]) prism(hingle_width,15,6);
                            translate([(box_width/3)-hingle_width-margin*2,box_length+5,box_height-cover_wall_width-3])
                                rotate([180,90,0]) cylinder(r=4,h=hingle_width,$fn=100);
                        }
                        // Screw hole
                        translate([(box_width/3)-hingle_width*2-margin*2-0.1,box_length+5,box_height-8])
                            rotate([0,90,0]) M2_5_tornillo(hingle_width*2);
                    }
                }
            }
        }
    }
};

////////////////////////////////// - Module cover - //////////////////////////////////

module cover() {
    difference() {
         linear_extrude(height = cover_wall_width)
            square([box_width+wall_width*2+margin*2,box_length+wall_width*2+margin*2]);
         translate([wall_width,wall_width,wall_width])
            linear_extrude(height = cover_wall_width-wall_width)
                square([(box_width+margin*2),(box_length+margin*2)]);
    };
    // Hinges cover
    difference() {
        union() {
            // If little make only 1 hinge
            if (divider_width_number <= 2)
            {
                difference() {
                    union() {
                        translate([(box_width/2)+wall_width+hingle_width+margin,box_length+wall_width*2+margin*2,0])
                            rotate([90,0,180]) prism(hingle_width,9,6.8);
                        translate([(box_width/2)+wall_width+hingle_width+margin,box_length+wall_width+margin*2+5,9.5])
                            rotate([180,90,0]) cylinder(r=3.5,h=hingle_width,$fn=100);
                    }
                }
            }
            else
            {
                difference() {
                    union() {
                        translate([(box_width/3)+wall_width+hingle_width+margin,box_length+wall_width*2+margin*2,0])
                            rotate([90,0,180]) prism(hingle_width,9,6.8);
                        translate([(box_width/3)+wall_width+hingle_width+margin,box_length+wall_width+margin*2+5,9.5])
                            rotate([180,90,0]) cylinder(r=3.5,h=hingle_width,$fn=100);
                    }
                }
                // Rigth
                difference() {
                    union() {
                        translate([(box_width/3)*2+wall_width+hingle_width+margin,box_length+wall_width*2+margin*2,0])
                            rotate([90,0,180]) prism(hingle_width,9,6.8);
                        translate([(box_width/3)*2+wall_width+hingle_width+margin,box_length+wall_width+margin*2+5,9.5])
                            rotate([180,90,0]) cylinder(r=3.5,h=hingle_width,$fn=100);
                    }
                }
            }
        }
        translate([box_width,box_length+wall_width+margin*2+4.6,9.9]) rotate([180,90,0]) M2_5_tornillo(box_width);
    }
    // Handle
    if (handle == 1)
    {
        minkowski() {
            translate([box_width/2-handle_length/2-margin,0,0]) rotate([90,0,0])
                prism(handle_width,cover_wall_width-margin,handle_length);
            cylinder(r=1,h=0.2,$fn=100);// round tips
        }
    }
}

////////////////////////////////// - Module divider - //////////////////////////////////

module divider() {
    linear_extrude(height = wall_width) square([box_height-wall_width-margin*2,divider_width-wall_width*2-margin*5]);
}

////////////////////////////////// - Module check - //////////////////////////////////

module check() {
    base();
    translate ([box_width+wall_width+margin,0-wall_width-margin,box_height+wall_width+margin]) rotate ([0,180,0]) cover();
}

build();
//check();
```


[User]
I'd like to create a customizable snowflake generator in OpenSCAD. The basic idea is to have a central structure with radiating branches, and a hanging mechanism at the top.

Here are the key features and parameters I'm envisioning:

**Base Parameters:**

*   **`height`**: Overall height/thickness of the snowflake.
*   **`radius`**: Overall radius of the snowflake.
*   **`hanger_type`**: An option to choose the type of hanger. This should have three options:
    *   `"ring"`: A circular ring for hanging.
    *   `"slot"`: A rectangular slot for hanging.
    *   `"none"`: No hanger.
*   **`slot_rounded`**:  A boolean (true/false) parameter to make the edges of the slot rounded or square, only applicable if `hanger_type` is `"slot"`.

**Branch Parameters (These should be relative to the `radius`):**

*   **`central_thickness_coef`**: A coefficient to control the thickness of the central branches.
*   **`central_branch_start_coef`**: A coefficient to control the starting position of the central branches along the radius.
*   **`middle_branch_start_coef`**: A coefficient to control the starting position of the middle branches along the radius.
*   **`middle_branch_length_coef`**: A coefficient to control the length of the middle branches.
*   **`middle_thickness_coef`**: A coefficient to control the thickness of the middle branches.
*   **`outer_branch_start_coef`**: A coefficient to control the starting position of the outer branches along the radius.
*   **`outer_branch_length_coef`**: A coefficient to control the length of the outer branches.
*   **`outer_thickness_coef`**: A coefficient to control the thickness of the outer branches.

**Hanger Parameters (Dependent on Hanger Type):**

*   **`ring_inner_radius_coef`**: A coefficient to control the inner radius of the ring hanger, only applicable if `hanger_type` is `"ring"`.
*   **`ring_thick_coef`**: A coefficient to control the thickness of the ring hanger, only applicable if `hanger_type` is `"ring"`.
*   **`slot_start_coef`**: A coefficient to control the starting position of the slot hanger, only applicable if `hanger_type` is `"slot"`.
*   **`slot_thick_coef`**: A coefficient to control the thickness of the slot, relative to snowflake height (not radius), only applicable if `hanger_type` is `"slot"`.
*   **`slot_height_coef`**: A coefficient to control the height of the slot, relative to snowflake height (not radius), only applicable if `hanger_type` is `"slot"`.
*    **`slot_length_coef`**: A coefficient to control the length of the slot, relative to central branch thickness, only applicable if `hanger_type` is `"slot"`.

**Quality Parameter:**

*   **`$fn`**: Number of segments used to make circles, set to 24 by default, but can be changed.

**Hidden Parameter:**

*   **`branch_count`**:  This parameter should control how many main branches the snowflake has and I want this to be fixed at 6 for this project, so you don't need to allow the user to customize this one.

The snowflake should be generated by rotating a single 'arm' of the design around the center. This should include the main branches, the middle branches, and the outer branches.

Could you generate the OpenSCAD code for this?

[Assistant]
snowflake-03.scad:
```
// snowflake 3
// @author Ilya Protasov

/* TODO
? fix central figure for branch_count
? hole hanger type
*/

/* [Base] */
height = 3;
radius = 40;
hanger_type = "ring";// [ring, slot ,none]
// only for slot hanger type
slot_rounded = true;

/* [Extended coefficients] */
// coefficient of radius for central (main) branch thickness
central_thickness_coef = 0.125; // [0:0.001:0.300]
central_branch_start_coef = 0.25; // [0:0.001:1]

middle_branch_start_coef = 0.5; // [0:0.001:1]
middle_branch_length_coef = 0.3; // [0:0.001:1]
middle_thickness_coef = 0.100; // [0:0.001:0.300]

outer_branch_start_coef = 0.8; // [0:0.001:1]
outer_branch_length_coef = 0.2; // [0:0.001:1]
outer_thickness_coef = 0.100; // [0:0.001:0.300]

// (for ring type hanger only)
ring_inner_radius_coef = 0.065; // [0:0.001:0.300]
// difference between outer and inner radius (for ring type hanger only)
ring_thick_coef = 0.080; // [0:0.001:0.300]

slot_start_coef = 0.95; // [0:0.01:1.000]
// slot thickness coeficient from snowflake height
slot_thick_coef = 0.100; // [0:0.001:2.200]
// slot height coeficient from snowflake height
slot_height_coef = 0.300; // [0:0.001:0.500]
// change it only if slot intersects main sub branches
slot_length_coef = 1.010; // [1.010:0.001:5.000]

/* [Quality ] */
//count of segments in arcs https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Other_Language_Features#$fa,_$fs_and_$fn
$fn = 24;

/* [Hidden]  */
branch_count = 6;

thickMain = radius * central_thickness_coef;
middleThick = radius * middle_thickness_coef;
outerThick = radius * outer_thickness_coef;

module branchMain() {
    centralAngle = 120;//360 / branch_count * 2;
    lenHex = radius * central_branch_start_coef;
    middleStart = radius * middle_branch_start_coef;
    outerStart = radius * outer_branch_start_coef;

    //central hexagon
    translate([0, lenHex, 0]) rotate([0, 0, centralAngle]) branch2(thickMain, lenHex);

    //central branch
    translate([0, lenHex, 0]) branch2(thickMain, radius-lenHex);

    //middle branchs
    translate([0, middleStart, 0]) rotate([0, 0, 60]) branch2(middleThick, radius * middle_branch_length_coef);
    translate([0, middleStart, 0]) rotate([0, 0, -60]) branch2(middleThick, radius * middle_branch_length_coef);

    //outer branchs
    translate([0, outerStart, 0]) rotate([0, 0, 60]) branch2(outerThick, radius * outer_branch_length_coef);
    translate([0, outerStart, 0]) rotate([0, 0, -60]) branch2(outerThick, radius * outer_branch_length_coef);
}

module branch2(thick, length) {
    translate([-thick/2, 0, 0]) cube([thick, length, height], false);
    translate([0, length, 0]) cylinder(height, thick/2, thick/2, false);
}

module ring(height, outerR, innerR) {
    difference() {
        cylinder(height, outerR, outerR, true);
        cylinder(height * 2, innerR, innerR, true);
    }
}

module slot(length, thick, height, rounded = true) {
    if (rounded) {
        rotate([0, 90, 0]) {
            translate([0, thick/2 - height/2, 0])
                cylinder(length, height/2, height/2, true);
            translate([0, -thick/2 + height/2, 0])
                cylinder(length, height/2, height/2, true);
        }
    }

    cube([length,
          thick - height * (rounded ? 1 : 0),
          height], true);

}

module snowflake3(branchCount) {
    angle = 360 / branchCount;
    ringInnerRadius = radius * ring_inner_radius_coef;
    ringThick = radius * ring_thick_coef;
    difference() {
        union() {
            for (i=[0:branchCount-1]) {
                rotate([0, 0, i * angle]) branchMain();
            }
        }
        if (hanger_type == "slot") {
            translate([0, radius * slot_start_coef, height/2])
                slot(radius * central_thickness_coef * slot_length_coef,
                    radius * slot_thick_coef,
                    height * slot_height_coef,
                    rounded = slot_rounded);
            }
    }
    if (hanger_type == "ring") {
        translate([0, radius + ringInnerRadius + ringThick, height/2])
            ring(height = height,
                 outerR = ringInnerRadius + ringThick,
                 innerR = ringInnerRadius );
    }

}

color("DeepSkyBlue") snowflake3(branch_count);
```


[User]
Hey, I'm looking to get some help designing a 3D printable device in OpenSCAD. I've got a basic concept and some dimensions, but I need a parametric design that I can adjust for different people.

The device is kind of like a Scold's Bridle, but with a few key differences and additions. It should wrap around the lower face, with a front piece that covers the cheeks and a back piece that goes around the neck. It needs to have a gag element that extends forward from the mouth, and a small breathing hole. The gag is a cylinder with a rounded end like the head of a penis. I want to design this in OpenSCAD so I can parameterize all the measurements.

Here are the core dimensions, in inches, that I'm working with. I need these to be parameters in the final design:

*   `CHEEK_TO_CHEEK`: The width of the front piece, between the cheeks.
*   `OPEN_CHIN_TO_NOSE`: The height of the front piece from the chin to nose level.
*   `OPEN_CHIN_TO_MOUTH`: The height from the chin to the mouth opening
*   `LIPS_TO_NECK`: The length of the side pieces, from the lips to the neck.
*  `WALL`: The thickness of the material (for the main body of the device, not the gag itself).
*   `D_RING`: The width of the D-rings at the back
*   `COCK_SHAFT`: The diameter of the gag's shaft.
*   `SHAFT_LEN`: The length of the gag's shaft.
*   `COCK_HELMET`: The diameter of the gag's rounded tip.
*   `HELMET_HEIGHT`: The height of the gag's rounded tip.
*   `HOLE`: The diameter of the breathing hole.
*   `CORNER`: The radius of the rounded corners on the front pieces.
*   `NOSE_CUT_RADIUS`: The radius of the cut-out for the nose.

I'd like the front pieces to be slightly angled to follow the cheek lines, and the back piece needs to be wider and slightly angled, too. Think trapezoid shapes for both the front and back.

I want to use `hull()` to connect the front and back pieces, and I also want to use `difference()` to cut out the inner space for the device to fit over the wearer's face. I'd also need a difference operation to create the breathing hole and gag opening.

The gag shaft needs to be scaled in the Y-axis, so that it’s more of an oval shape rather than a perfect cylinder. Then the rounded helmet is positioned on the front of the shaft.

For the D-Rings, I'd like to make a cutout area for them to sit on. They need to be at the back, near where the side pieces connect to the neck. The rings will have a slightly reduced wall thickness from the rest of the device.

I'd like the breathing hole to go through the side of the mouthpiece, in line with the gag.

For the material, I plan on printing this in TPU, so flexible material. The design should take this into account, so there aren't any sharp edges that could hurt the wearer.

I'm hoping to use the OpenSCAD language itself, without any extra libraries. I can just do the final millimeter conversion myself using a variable.

Can you help me with the OpenSCAD code for this?

[Assistant]
scoldsbridlegag.scad:
```
CHEEK_TO_CHEEK = 4;
OPEN_CHIN_TO_NOSE = 3.625;
OPEN_CHIN_TO_MOUTH = 2.125;
LIPS_TO_NECK = 2;
WALL = 0.125;
D_RING = 1;
COCK_SHAFT = 1.5;
SHAFT_LEN = 1;
COCK_HELMET = 1.75;
HELMET_HEIGHT = 0.5;
HOLE = 0.75;
CORNER = 0.5;
NOSE_CUT_RADIUS = 0.75;

front_w = (CHEEK_TO_CHEEK * 25.4);
front_h = (OPEN_CHIN_TO_NOSE * 25.4);
back_w = front_w * 1.25;
back_h = front_h;
length = (LIPS_TO_NECK * 25.4);
thickness = (WALL * 25.4);
d_ring_w = (D_RING * 25.4);
cut_fudge_factor = 2;
d_ring_thickness = thickness * 2;
shaft_r = (COCK_SHAFT * 25.4) / 2;
shaft_l = (SHAFT_LEN * 25.4);
helmet_r = (COCK_HELMET * 25.4) / 2;
helmet_h = (HELMET_HEIGHT * 25.4);
hole_r = (HOLE * 25.4) / 2;
cock_offset = ((OPEN_CHIN_TO_NOSE / 2) - OPEN_CHIN_TO_MOUTH) * 25.4;
corner_cut = (CORNER * 25.4);
nose_cut_r = (NOSE_CUT_RADIUS * 25.4);

union() {
    intersection() {
        translate([(-front_w/2)+corner_cut,(-front_h/2)+corner_cut,(length/2)+(thickness/2)]) {
            rotate([12.5,0,-45]) {
                cube([back_h*cut_fudge_factor,thickness,(length+thickness)*cut_fudge_factor],center=true);
            }
        }
        hull() {
            translate([0,0,(thickness/2)]) {
                cube([front_w,front_h,thickness], center=true);
            }
            translate([0,0,(thickness/2)+length]) {
                cube([back_w,back_h,thickness], center=true);
            }
        }
    }
    intersection() {
        translate([(front_w/2)-corner_cut,(-front_h/2)+corner_cut,(length/2)+(thickness/2)]) {
            rotate([12.5,0,45]) {
                cube([back_h*cut_fudge_factor,thickness,(length+thickness)*cut_fudge_factor],center=true);
            }
        }
        hull() {
            translate([0,0,(thickness/2)]) {
                cube([front_w,front_h,thickness], center=true);
            }
            translate([0,0,(thickness/2)+length]) {
                cube([back_w,back_h,thickness], center=true);
            }
        }
    }
    difference() {
        union() {
            translate([0,-cock_offset,0]) {
                scale([1,0.667,1]) {
                    union() {
                        translate([0,0,thickness+(shaft_l/2)]) {
                            cylinder(r1=shaft_r,r2=shaft_r,h=shaft_l,center=true,$fn=180);
                        }
                        translate([0,0,thickness+shaft_l+(helmet_h/2)]) {
                            scale([1,1,helmet_h/helmet_r]) {
                                sphere(r=helmet_r,$fn=180);
                            }
                        }
                    }
                }
            }
            translate([0,front_h/6,length+thickness]) {
                difference() {
                    rotate([45,0,0]) {
                        difference() {
                            cube([back_w,d_ring_w,d_ring_w], center=true);
                            cube([back_w*cut_fudge_factor,d_ring_w-d_ring_thickness,d_ring_w-d_ring_thickness], center=true);
                            cube([back_w-(thickness*2),d_ring_w*cut_fudge_factor,d_ring_w*cut_fudge_factor], center=true);
                        }
                    }
                    translate([0,0,-(d_ring_w/2)]) {
                        cube([back_w*cut_fudge_factor,d_ring_w*cut_fudge_factor,d_ring_w], center=true);
                    }
                }
            }
            difference() {
                hull() {
                    translate([0,0,(thickness/2)]) {
                        cube([front_w,front_h,thickness], center=true);
                    }
                    translate([0,0,(thickness/2)+length]) {
                        cube([back_w,back_h,thickness], center=true);
                    }
                }
                hull() {
                    translate([0,thickness,thickness+(thickness/2)]) {
                        cube([front_w-(thickness*2),front_h-(thickness*2)+thickness,thickness], center=true);
                    }
                    translate([0,thickness,thickness+(thickness/2)+length]) {
                        cube([back_w-(thickness*2),back_h-(thickness*2)+thickness,thickness], center=true);
                    }
                }
            }
        }
        translate([0,-cock_offset,length/2]) {
            cylinder(r1=hole_r,r2=hole_r,h=length*cut_fudge_factor,center=true,$fn=180);
        }
        translate([(-thickness*3.9)+(-front_w/2)+corner_cut,(-thickness*3.9)+(-front_h/2)+corner_cut,(length/2)+(thickness/2)]) {
            rotate([12.5,0,-45]) {
                cube([back_h*cut_fudge_factor,10*thickness,(length+thickness)*cut_fudge_factor],center=true);
            }
        }
        translate([(thickness*3.9)+(front_w/2)-corner_cut,(-thickness*3.9)+(-front_h/2)+corner_cut,(length/2)+(thickness/2)]) {
            rotate([12.5,0,45]) {
                cube([back_h*cut_fudge_factor,10*thickness,(length+thickness)*cut_fudge_factor],center=true);
            }
        }
        translate([0,(front_h/2)+(nose_cut_r/3),0]) {
            cylinder(r1=nose_cut_r,r2=nose_cut_r,h=2*thickness*cut_fudge_factor,center=true,$fn=6);
        }
    }
}

```


[User]
I want to design a travel version of the Settlers of Catan board game that's designed to be mostly 3D printed, and can be customized with a name on the lid. I have an existing single-file SCAD implementation for the name customization, but I need the rest of the game designed in OpenSCAD.

Specifically, the game should include the following parts:

*   **Box:** A box bottom and a box top. The box top should have a customizable area in the lower right corner where a name can be added as a modifier. I already have an SCAD file for the name part which positions things correctly. The box top should also accept the Catan outline as a modifier, and the game description suggests that this should be done in a specific way when using no MMU: no infill, no perimeters, no bottom layer, and 1 top layer.
*   **Card Box:** A separate box and lid to hold the game cards. The lid should be able to have color accents added as modifiers.
*   **Game Board Sections:** 6 standard board sections, 1 desert tile, 9 plain water tiles, and 9 harbor tiles.
*   **Resource Tiles:** 18 basic resource tiles, with 4 each of Wheat, Wool, and Lumber, and 3 each of Brick and Ore.
*   **Harbor Keys:** 4 harbor key blanks with 3 to 1 harbor key modifiers, and 5 harbor key blanks with 2 to 1 harbor key and resource indicator modifiers.
*   **Number Tokens:** A set of number tokens with red and black modifiers.
*   **Trophies:** 1 trophy blank with a Longest Road modifier, and 1 trophy blank with a Largest Army modifier.
*   **Robber:** A robber blank with a robber accent modifier.
*   **Player Pieces:** For each of 4 player colors: 5 settlements, 4 cities, 15 roads, 1 piece box, and 1 piece box lid.

The pieces are designed for a multi-material printer (MMU), and should include modifiers so that accents can be added in a different color. For the pieces listed above, the box top, card box lid, harbor keys, number tokens, trophies, and robber all use modifier parts for color accents.  The non-MMU printing method for the box top is also described above. Player pieces should also be split into multiple parts to achieve color for them with a multimaterial printer.  The various lids are meant to be printed face down, and the harbor keys and trophies are best printed face down.

The design should be parametric, so I can easily change things like the overall size, tile thicknesses, and the scale of the various pieces, and include comments so I can easily understand the purpose of each variable and module.

I would like to use the BOSL2 library if possible, as I'm familiar with it.

Finally, hinges are to be designed for use with paper clips or 20 gauge wire.

Can you generate OpenSCAD code to implement all of this?  It would be great if it could be organized across multiple files for organization, but I can make that modification myself if necessary.  I just need working code that implements the game parts, and allows for parametric modification.  I'm especially interested in making sure the modifier parts are included and are designed correctly.

[Assistant]
Name_Maker.scad:
```
// This customizer creates an STL of your text to load
// as a modifier for the Travel Catan Box Top.  The text
// will be position for the lower right of the top of the box.

// Your custom text
your_text="Your Name Here";

// default is 10
size_of_text = 10;

// font name -
font_name = "Roboto:Bold"; // [Calistoga:Bold, Roboto:Bold, Merriweather:Bold, Permanent Marker, Playfair Display:Bold, Dosis:Bold, Obitron, Fredoka One, Carter One, Bungee]

translate([158,217,36])
    rotate([0,0,90])
        linear_extrude(height=.3, center=false)
        text(text=your_text, halign="right", font=font_name, size=size_of_text);
```


[User]
I'm looking to create a set of adapters that will let me connect Bauer/Polesie building blocks to Brio/Ikea-style wooden train tracks. I have some existing code that I've been tinkering with, but it's kind of messy and I'd like to start fresh with a more parametric design that's easier to modify.

The basic concept is to create a block with standard Bauer/Polesie connection points on one side and a connector that fits into the wooden train track on the other. I need different versions to handle different orientations - horizontal (flat), transitions from flat to upwards/downwards slopes, and transitions between a slope and the ground.

Here are the key requirements for the design:

1.  **Bauer/Polesie Compatibility:** The block side needs to be compatible with standard Bauer/Polesie blocks. This includes the grid of studs on the top surface and the appropriate connection points on the sides. My existing code uses `pbrick()` and related modules for this and I've included the library file. We need to keep these functions.

2.  **Wooden Railway Compatibility:** The other side of the adapter needs to have the correct profile to fit securely into Brio/Ikea wooden railway tracks. I've got a basic profile in my included code but it needs to be parametric. This also needs to be able to have an inward facing pin, like the original code. I will supply dimensions when asked. The track profile needs to allow for a little gap so that it fits properly.

3.  **Parametric Design:** I'd like to be able to control things like the angle of the slope transitions (typically 30 degrees), the radius of the curve for the slopes, the gap for the rail, the height of the rail, and the pin offset for the rail, and whether to fillet the bottom of the rail. The number of brick studs should be parametric, too, as determined by the library functions.

4.  **Adapter Types:** I need the following types of adapters:
    *   **Flat:** A basic flat adapter for connecting a flat layer of bricks to the track.
    *   **Slope Up:** An adapter transitioning from a flat brick layer to an upwards sloping track.
    *   **Slope Down:** An adapter transitioning from a flat brick layer to a downwards sloping track.
    *   **Ground to Up:** An adapter that lets a track start from the 'ground' and slope upwards.
    *   **Up to Flat:** An adapter transitioning from an upwards sloping track back to flat bricks.
    *   **Down to Ground:** An adapter to transition downwards slope to 'ground'.
    *   **Flat to Up:** An adapter to connect flat blocks to a track that is then sloping upwards.
    *   **Flat to Down:** An adapter to connect flat blocks to a track that is then sloping downwards.
    *  **Down to Flat:** An adapter transitioning from a downwards sloping track back to flat bricks.
    *  **Slope:** A sloping track section that can be rotated to fit any angle
    *   **All:** A test case that has an example of all of the above adapters in one scene

5. **Included libraries:** I'm using a custom library `bauer_polesie_lib.scad` for brick generation, and I have included that. The `pbrick` function, especially, is key.

Could you generate a set of OpenSCAD files that fulfill these requirements? I'm picturing at least one main file (`bauer_polesie_railway.scad`) and the existing library file, though I'm okay with other structures if it makes more sense.

[Assistant]
bauer_polesie_railway.scad:
```
use <bauer_polesie_lib.scad>;
function rw_gap() = 0.2;
function rw_h() = 12;
function rw_pin_offset() = 10.8;
function a_gap(r,a,l) = l/r/0.0174533;//2*PI/360;
type = "all";//[gu:ground-up, u:up, uf:up-flat, f:flat, fu:flat-up, fd:flat-down, d:down, df:down-flat, dg:down-ground, all:show all 30deg]
angle = 30;//[10:45]
radius = 100;//[100:500]
/*[Hidden]*/
$fn=72;
module rw_profile(f=1){//f-bottom fillet
	polygon([[0,0],[20-f,0],[20,0+f],[20,rw_h()-1],[19,rw_h()],
	[16.5,rw_h()],[16,rw_h()-1],[15.5,rw_h()-3],[10.5,rw_h()-3],[10,rw_h()-1],[9.5,rw_h()],
	[0,rw_h()],[0,0]]);
}

module rw_pinhole(){
  union(){
    translate([0,-rw_pin_offset(),-20]) cylinder(r=6+rw_gap(), h=rw_h()+40);
    translate([-3-rw_gap(),-rw_pin_offset(),-20]) cube([6+2*rw_gap(),rw_pin_offset()+rw_gap(),rw_h()+40]);
  }
}

module rw_pin(){
  union(){
    translate([0,-rw_pin_offset(),0]) cylinder(r=6-rw_gap(), h=rw_h());
    translate([-3+rw_gap(),-rw_pin_offset(),0]) cube([6-2*rw_gap(),rw_pin_offset()+rw_gap(),rw_h()]);
  }
}
module rw_flat(l=30, f=1){//f-bottom fillet
	difference(){
		union(){
			rotate([90,0,0])
				translate([0,0,rw_gap()])
					linear_extrude(l-2*rw_gap())
						for(i=[0,1])
							union()
								mirror([i,0,0]) rw_profile(f);
			translate([0,-l,0]) rw_pin();
		}
		rw_pinhole();
	}
}
module rw_slope_up(r=100, a=30, f=1){//f-bottom fillet
	agap = a_gap(r,a,rw_gap());
  da = 360/$fn;
	difference(){
		union(){
			difference(){
				translate([0,0,r])
					rotate([0,90,0])
//black magic below
						difference(){
              rotate_extrude(angle=-ceil(a/da)*da, convexity = 10)
                translate([r,0,0])
                  rotate([0,0,90])
                    for(i=[0,1])
                      union()
                        mirror([i,0,0]) rw_profile(f);
              rotate([0,0,-a]) translate([0,-(r+1), -25]) cube([r+1,r+1,50]);
            }

				for(i=[0,1]){
					translate([0,0,r])
						rotate([-i*a-agap+2*i*agap,0,0])
							translate([-25,-i*10,0]) translate([0,0,-1.5*abs(r)]) cube([50,10,3*abs(r)]);
				}
			}
			translate([0,0,r]) rotate([-a,0,0]) translate([0,0,-r]) rw_pin();
		}
		rw_pinhole();
	}
}
//rw_slope_up(100,30,1);
//rw_slope_up(-100+rw_h(),-30,1);
//-------------------------------------------------
//-----                                    --------
//-------------------------------------------------
module p2brio_flat(l=22){
  shiftz = 20;
  shifty = (l+18)/2;
  union(){
    difference(){
      union(){
        hull(){
          translate([0,shifty,shiftz])rw_flat(l, 0);
          pbrick(xn=2, yn=2, top=1, pins=false);
        }
        hull(){
          translate([-20,shifty,shiftz-3]) cube([40,5,3]);
          pbrick(xn=2, yn=2, top=1, pins=false);
        }
      }
      translate([0,0,30])
        cube([40,40,20], center=true);
      translate([0,0,9])
        cube([28,28,22], center=true);
    }
    translate([0,shifty,shiftz])rw_flat(l, 0);
    pbrick(xn=2, yn=2, top=1, pins=false);
  }
}
module p2brio_ground2up(r=100, a=30){
  shifty = sin(a)*r;
	//cube([10,10,r]);
 	union(){
		difference(){
			union(){
				hull(){
					rw_slope_up(r, a, 0);
					translate([-20,-shifty-18,0]) cube([40, 18, 2]);
				}
			}
			translate([0,0,r])
				rotate([0,90,0])
					union() {
						cylinder(r=r-0.1, h=44, center=true);
						rotate([0,0,-90-a]) translate([0,r-60,-22]) cube([40,60,44]);
					}
			translate([0,0,0]) rw_pinhole();
		}
    translate([0,0,0]) rw_slope_up(r, a, 0);
	}
}
module p2brio_down2ground(r=100, a=30){
  shifty = sin(a)*r;
 	union(){
		difference(){
			union(){
				hull(){
          inverse(r, a)	rw_slope_up(r=r, a=a, f=0);
					translate([-20,-shifty,0]) cube([40, shifty, 2]);
				}
        hull(){
          translate([0,0,r]) rotate([-a,0,0])
            translate([-20,-5,-r-3]) cube([40, 5, 3]);
          translate([-20,-shifty,0]) cube([40, shifty, 2]);
        }
			}
			translate([0,0,r])
				rotate([0,90,0])
					union() {
						cylinder(r=r-0.1, h=44, center=true);
						rotate([0,0,-90-a]) translate([0,r-60,-22]) cube([40,60,44]);
					}
      translate([-20,0,0]) cube([40,60,44]);
			inverse(r, a) rw_pinhole();
		}
    inverse(r, a)	rw_slope_up(r=r, a=a, f=0);
	}
}
module p2brio_flat2up(r=100, a=30){
	shiftz = 20;
	shifty = sin(a)*r/2;
 	union(){
		difference(){
			union(){
				hull(){
					translate([0,shifty,shiftz]) rw_slope_up(r, a, 0);
					pbrick(xn=2, yn=2, top=1, pins=false);
				}
				hull(){
					translate([-20,shifty,shiftz-3])cube([40,5,3]);
					pbrick(xn=2, yn=2, top=1, pins=false);
				}
			}
			translate([0,shifty,shiftz+r])
				rotate([0,90,0])
					union() {
						cylinder(r=r-0.1, h=44, center=true);
						rotate([0,0,-90-a]) translate([0,r-60,-22]) cube([40,60,44]);
					}
			translate([0,shifty,shiftz]) rw_pinhole();
			translate([0,0,9])
				#cube([28,28,22], center=true);
		}
    translate([0,shifty,shiftz]) rw_slope_up(r, a, 0);
    pbrick(xn=2, yn=2, top=1, pins=false);
	}
}
module p2brio_flat2down(r=100, a=30){
  rin = r-rw_h();
	shiftz = 40;
	shifty = sin(a)*r/2;
	union(){
		difference(){
			union(){
				hull(){
					translate([0,shifty,shiftz]) rw_slope_up(-rin, -a, 0);
					pbrick(xn=2, yn=2, top=1, pins=false);
				}
				hull(){
					translate([-20,shifty,shiftz-3])cube([40,5,3]);
					pbrick(xn=2, yn=2, top=1, pins=false);
				}
			}
			translate([0,shifty,shiftz-rin])
				rotate([0,90,0])
					difference(){
						cube([3*r,3*r,shiftz], center=true);
						cylinder(r=rin+0.1, h=44, center=true);
						rotate([0,0,a+90]) translate([-20,rin-30,-22]) cube([20,30,44]);
					}
			translate([0,0,9])
				cube([28,28,22], center=true);
		}
		translate([0,shifty,shiftz]) rw_slope_up(-rin, -a, 0);
		pbrick(xn=2, yn=2, top=1, pins=false);
	}
}

module p2brio_down2flat(r=100, a=30){
	shiftz = 20;
	shifty = sin(a)*r/2;
	union(){
		difference(){
			union(){
				hull(){
					translate([0,shifty,shiftz]) inverse(r, a)	rw_slope_up(r=r, a=a, f=0);
					pbrick(xn=2, yn=2, top=1, pins=false);
				}
				hull(){
					translate([0, shifty, r+shiftz])
						rotate([-a,0,0])
							translate([-20,-5,-r-3]) cube([40,5,3])	;
					pbrick(xn=2, yn=2, top=1, pins=false);
				}
			}
			translate([0,shifty, shiftz+r])
				rotate([0,90,0])
					union() {
						cylinder(r=r-0.1, h=44, center=true);
						rotate([0,0,-90-a]) translate([0,r-60,-22]) cube([40,60,44]);
					}
			translate([0,shifty, shiftz]) inverse(r,a) rw_pinhole();
			translate([0,0,9])
				cube([28,28,22], center=true);
		}
		translate([0,shifty,shiftz]) inverse(r, a)	rw_slope_up(r=r, a=a, f=0);
		pbrick(xn=2, yn=2, top=1, pins=false);
	}
}
module inverse(r,a){
	translate([0,0,r])
		rotate([-a,0,0])
			translate([0,0,-r])
				mirror([0,1,0])
					children(0);
}
module p2brio_up2flat(r=100, a=30){
  rin = r-rw_h();
	shiftz = 40;
	shifty = sin(a)*r/2;
	union(){
		difference(){
			union(){
				hull(){
          translate([0,shifty,shiftz])
            union(){
              inverse(-rin,-a) rw_slope_up(-rin, -a, 0);
              translate([0,0,-rin])
                rotate([a,0,0])
                  translate([-20,-5,rin-3])
                    cube([40,5,3]);
            }
					pbrick(xn=2, yn=2, top=1, pins=false);
        }
			}
			translate([0,shifty,shiftz+-rin])
				rotate([0,90,0])
					difference(){
						cube([3*r,3*r, 42], center=true);
						cylinder(r=rin+0.1, h=44, center=true);
						translate([-rin,0,-22]) cube([30,20,44]);
					}
			translate([0,0,9])
				cube([28,28,22], center=true);
		}
		translate([0,shifty,shiftz]) inverse(-rin,-a) rw_slope_up(-rin, -a, 0);
		pbrick(xn=2, yn=2, top=1, pins=false);
	}
}
module p2brio_slope(l=22,a=30){
  shiftz = 20+18*sin(abs(a));
  shifty = 18*cos(a)/2;
  union(){
    difference(){
      hull(){
        translate([0,0,shiftz]) rotate([a,0,0])
          union(){
            translate([0,l/2,0]) rw_flat(l, 0);
            translate([-20,l/2,-3])cube([40,5,3]);
          }
         pbrick(xn=2, yn=2, top=1, pins=false);
      }
      translate([0,0,shiftz])
        rotate([a,0,0]) translate([-25,-30,0]) cube([50,80,20]);
      translate([0,0,9])
        cube([28,28,22], center=true);
    }
    translate([0,0,shiftz]) rotate([a,0,0])
      translate([0,l/2,0]) rw_flat(l, 0);
    pbrick(xn=2, yn=2, top=1, pins=false);
  }
}
module all(){
  translate([0,139,16]) rotate([0,0,180]) p2brio_down2flat();
  color("red") translate([0,89,-4]) p2brio_flat2down();
  translate([0,60,-10]) p2brio_slope(a=30);
  color("red") rotate([0,0,180]) p2brio_down2ground();
  p2brio_ground2up();
  color("red") translate([0,-60,-10]) p2brio_slope(a=-30);
  translate([0,-89,-4]) rotate([0,0,180]) p2brio_up2flat();
  translate([0,-190,0]) p2brio_flat();
  color("red") translate([0,-139,16]) p2brio_flat2up();
}

if      (type=="gu")  p2brio_ground2up(r=radius, a=angle);
else if (type=="u")  p2brio_slope(a=-angle);
else if (type=="uf")  p2brio_up2flat(r=radius, a=angle);
else if (type=="f")   p2brio_flat();
else if (type=="fu")  p2brio_flat2up(r=radius, a=angle);
else if (type=="fd")  p2brio_flat2down(r=radius, a=angle);
else if (type=="d")   p2brio_slope(a=angle);
else if (type=="df")  p2brio_down2flat(r=radius, a=angle);
else if (type=="dg")  p2brio_down2ground(r=radius, a=angle);
else if (type=="all") all();
```
bauer_polesie_lib.scad:
```
$fn = 64;
x_size = 2;
y_size = 4;
bottom_height = 20;
/*[Hidden]*/
inward =   0.0;//inward per step
d =    12;
step = 14.5;
wall = 1.2;
h    = bottom_height;
hump = 0.4;
humpw = 1;
layer = 0.2;
pinh  = 10;
module pbrick(xn=2, yn=2, top=1, pins=true){
	//cube([d*xn+step*(xn-1)+2*wall,d*yn+step*(yn-1)+2*wall,10]);
	for(a = [0,180]){
		rotate([0,0,a]){
			pcorner(xn, yn, top);
			mirror([1,0,0]) pcorner(xn, yn, top);
		}
	}
	if(pins) ppins(xn,yn);
}
module pcorner(xn, yn, top=1){
	xin = d/2 + step*(xn-1)/2 + hump;
	yin = d/2 + step*(yn-1)/2 + hump;
	xinward = inward*(yn/2+0.5);
	yinward = inward*(xn/2+0.5);
	hull(){
		translate([xin, yin, 0]) cube([wall,wall,h]);
		translate([xin - xinward, -wall/2, 0]) cube([wall,wall,h]);
	}
	hull(){
		translate([xin, yin, 0]) cube([wall,wall,h]);
		translate([-wall/2, yin - yinward, 0]) cube([wall,wall,h]);
	}
	for(i=[0:xn-1])
		translate([i*step/2, yin-yinward+inward*i/2, 0])
			rotate([0,0,90]) phump();
	for(i=[0:yn-1])
		translate([xin-xinward+inward*i/2, i*step/2, 0])
			phump();
	if (top>0)
		translate([0,0, h-top]) cube([xin+wall, yin+wall, top]);
}
module phump(){
	translate([-hump,-humpw/2,0])
	difference(){
		cube([wall, humpw, h]);
			translate([hump,-0.1,0])
				mirror([1,0,0])
					rotate([0,30,0])
						cube([wall,humpw+0.2,5]);
	}
}
module ppins(xn, yn)
	translate([-(xn-1)*step/2, -(yn-1)*step/2, h])
		for(x=[0:1:xn-1])
			for(y=[0:1:yn-1])
				translate([x*step,y*step,0])
					union(){
						cylinder(d = d, h=pinh-0.5);
						translate([0,0,pinh-0.5]) cylinder(d1=d, d2 = d-1, h=0.5);
					}
pbrick(x_size, y_size, pins=true);
#translate([0,0,-h]) ppins(x_size,y_size);

```


[User]
Hey, I'm looking for help designing a modular, flexible band that can be 3D printed. I'd like the design to be parametric, so I can adjust various dimensions and features easily.

Essentially, the band is made up of a series of identical segments connected by hinges, with a male and female clip at either end for closure. I'm using OpenSCAD and would like the code to be structured so it’s easy to modify.

Here are some specific features and parameters I'd like to control:

*   **Segment Count:**  The number of segments in the main band, excluding the clips.
*   **Segment Width:** The width of each segment.
*   **Segment Length:** The length of each segment.
*   **Segment Max Fold:** The maximum angle (in degrees) that each hinge can bend.
*   **Round Edges:** A boolean to control rounded edges on segments.
*  **Round Hinges:** A boolean to control the appearance of rounded hinges.
*   **Hole Type:** An integer to select the decoration on each segment. Possible values are:
    *   0: No decoration
    *   1: Circular hole
    *   2: Rectangular hole
    *   3: Square hole
    *   4: Inlaid circle
    *   5: Inlaid rectangle
    *   6: Inlaid square
    *   7: Spikes
    *   8: Inlaid text
    *   9: Extruded text
*   **Spike Height Ratio:**  A multiplier for the spike height, relative to the segment thickness.
*   **Spike Diam Ratio:** A multiplier for the spike diameter, relative to the smallest dimension of the segment.
*   **Label:** The text to use for inlaid or extruded text decorations, if `hole_type` is 8 or 9.
*   **Label Size:** The size of the text for labels.
*   **Label Height:** The height of the extrusion for labels when `hole_type` is 9.
*   **Pin Diameter:** The diameter of the hinge pins.
*   **Slop:** The space between hinge surfaces to allow movement.
*   **Hinge Wall Thickness:** The thickness of the hinge walls.
*  **Hinge Tongue Percent:** The length of the hinge tongue as a percentage of the segment width.
*   **Clip Female Receiver Wall Thickness:** The wall thickness of the clip's female receiver.
*   **Clip Body Length:** The length of the main body of the clip.
*   **Clip Arm Length:** The length of each arm of the clip.
*   **Clip Arm Width:** The width of each clip arm.
*   **Clip Arm Base Inset:** How far the clip arm is inset from the edge of the clip body.
*   **Clip Arm Height:** The height of the clip arm.
*   **Clip Arm Tip Length:** The length of the angled tip on each clip arm.
*  **Clip Central Arm Width:** The width of the central arm in the male clip.
*  **Clip Female Length:** The total length of the female clip.
*   **Resolution:** (Implicit) I'd like to control the resolution/smoothness of curves.

The design should include modules for each main component, like the segment, the male clip, and the female clip.  The hinges should allow for the specified maximum fold, and the clips should be functional for attaching the two ends of the band.  I'm hoping you can handle the text module as well.

I am not using any OpenSCAD libraries. I'm expecting you to create all needed modules. Thanks!

[Assistant]
PiPCollar.scad:
```
/*
All code by Patrick Gaston, 11/2019, with the exception of function "substr", which comes from Nathanaël Jourdane's TOUL library of functions for OpenSCAD.
*/

rez_mid = 36 * 1;
epsilon = 0.01 * 1;

//Number of segments in band. Excludes clips.
segment_count = 11; // [1:1:30]
//Width of band (mm).
segment_width = 18; // [16:1:45]
//Length of each segment of band (mm).
segment_length = 14; // [4:1:100]

segment_max_fold = 60 * 1; //Degrees allowed fold

round_edges = 1 * 1; //0 or 1
round_hinges = 1 * 1; //0 or 1

//Type of decoration on each segment, from 0 (nothing) to 9 (raised text).
hole_type = 9; // [0:1:9]
spike_height_ratio = 1.5 * 1; //Spike height, relative to segment_thickness
spike_diam_ratio = 0.75 * 1; //Diameter relative to min length or width of segment
//Text inlaid or extruded from band, if hole_type set to 8 or 9.
label = " HOLD FAST";
label_size = segment_width * 0.5;
label_height = 2 * 1; //For positive extrusion

//Diameter of hinge pin. Thicker is stronger, but makes larger hinges.
pin_diameter = 2.4; // [1.6:0.1:3]
//Space between surfaces to allow movement. Increase if joints freezing.
slop = 0.5; // [0.4:0.1:1]
pin_hole_diameter = pin_diameter + 2*slop;
hinge_wall_thickness = 1.6 * 1;
hinge_diameter = pin_hole_diameter + 2*hinge_wall_thickness;
hinge_tongue_percent = 45 + 1; //Groove parts are 100 - this - 2*slop
hinge_tongue_width = hinge_tongue_percent * segment_width/100;
groove_piece_height = (segment_width - hinge_tongue_width - 2*slop)/2;

segment_thickness = hinge_diameter;

clip_female_receiver_wall_thickness = 0.8 * 1;
clip_body_length = hinge_diameter/2 + slop + 1;
clip_arm_length = 24 * 1;
clip_arm_width = 2.4 * 1;
clip_arm_base_inset = clip_female_receiver_wall_thickness + slop;
clip_arm_height = segment_thickness - 2*(clip_female_receiver_wall_thickness + slop);
clip_arm_tip_length = 10 * 1;
clip_central_arm_width = segment_width - 4*clip_arm_base_inset - 2*clip_arm_width - 4*slop - 4*clip_female_receiver_wall_thickness;
clip_female_length = clip_body_length + clip_arm_length + slop;

echo("Length: ", (segment_count* segment_length) + 2*clip_body_length + clip_arm_length);

Assembly();

function substr(str, pos=0, len=-1, substr="") =
	len == 0 ? substr :
	len == -1 ? substr(str, pos, len(str)-pos, substr) :
	substr(str, pos+1, len-1, str(substr, str[pos]));

module Assembly()
    {
     translate([(segment_count) * segment_length, 0, 0])
        Clip_Male();
     translate([-clip_female_length, 0, 0])
        Clip_Female();
     Main_Chain();
    }

module Main_Chain()
    {
     for (current_segment = [1:(segment_count)])
        {
         translate([segment_length * (current_segment - 1), 0,0])
         difference()
            {
             union()
                {
                 Segment_Body();
                 if (hole_type == 9)//Text on top
                    {
                     if (current_segment <= len(label))
                     translate([segment_length/2, segment_width/2, segment_thickness])
                     linear_extrude(height= label_height)
                        text(substr(label,current_segment - 1,1), font = "Liberation Mono:style=Bold", size = label_size, halign = "center", valign = "center");
                    }
                if (hole_type == 7) //Spike
                    {
                     spike_diam = spike_diam_ratio * (min(segment_length - hinge_diameter, segment_width) - 4);
                     translate([segment_length/2, segment_width/2, segment_thickness])
                     linear_extrude(height = segment_thickness * spike_height_ratio, scale = 0.1)
                        circle(r = spike_diam/2, $fn = rez_mid);
                    }
                }

             if (hole_type == 1) //Circle
                {
                 circle_diam = min(segment_length - hinge_diameter, segment_width) - 4;
                 translate([segment_length/2,segment_width/2,-epsilon])
                    cylinder(d = circle_diam, h = segment_thickness + 2*epsilon, $fn = rez_mid);
                }
             if (hole_type == 2) //Rectangle
                {
                 translate([hinge_diameter/2 + 2, 2,-epsilon])
                    cube([segment_length - hinge_diameter - 4, segment_width - 4,segment_thickness + 2*epsilon]);
                }
             if (hole_type == 3) //Square
                {
                 side_length = min(segment_length - hinge_diameter, segment_width) - 4;
                 translate([(segment_length - side_length)/2, (segment_width - side_length)/2,-epsilon])
                    //translate([-side_length/2, -side_length/2, 0])
                        cube([side_length, side_length, segment_thickness + 2*epsilon]);
                }
             if (hole_type == 4) //Circle indent
                {
                 circle_diam = min(segment_length - hinge_diameter, segment_width) - 4;
                 translate([segment_length/2,segment_width/2, segment_thickness * 0.75])
                 difference()
                    {
                     cylinder(d = circle_diam, h = segment_thickness + 2*epsilon, $fn = rez_mid);
                     cylinder(d = circle_diam * 0.75, h = segment_thickness + 2*epsilon, $fn = rez_mid);
                    }
                }
             if (hole_type == 5) //Rectangle indent
                {
                 translate([hinge_diameter/2 + 2, 2, segment_thickness * 0.75])
                 difference()
                    {
                     cube([segment_length - hinge_diameter - 4, segment_width - 4,segment_thickness + 2*epsilon]);
                     translate([(segment_length - hinge_diameter - 4) * 0.125, (segment_width - 4) * 0.125,0])
                     cube([(segment_length - hinge_diameter - 4) * 0.75, (segment_width - 4) * 0.75, segment_thickness + 2*epsilon]);
                    }
                }
             if (hole_type == 6) //Square indent
                {
                 side_length = min(segment_length - hinge_diameter, segment_width) - 4;
                 translate([(segment_length - side_length)/2, (segment_width - side_length)/2, segment_thickness * 0.75])
                 difference()
                    {
                     cube([side_length, side_length, segment_thickness + 2*epsilon]);
                     translate([side_length * 0.125, side_length * 0.125, 0])
                     cube([side_length * 0.75, side_length * 0.75, segment_thickness + 2*epsilon]);
                    }
                }
             if (hole_type == 8) //Text inset
                {
                 if (current_segment <= len(label))
                    {
                     translate([segment_length/2, segment_width/2, segment_thickness * 0.75])
                     linear_extrude(height= segment_thickness * 0.26)
                        text(substr(label,current_segment - 1,1), font = "Liberation Mono:style=Bold", size = label_size, halign = "center", valign = "center");
                    }
                }
            }
        }
    }

module Clip_Male()
    {
     //Hinge and body of male clip__________________________________________________
     difference()
        {
         //Positive
         union()
            {
             rotate([-90,0,0])
             mirror([0,1,0])
             linear_extrude(height = segment_width)
             difference()
                {
                 square([clip_body_length,segment_thickness]);

                 translate([0, hinge_diameter/2, 0])
                 rotate([0,0,-segment_max_fold/2])
                 translate([-2*segment_thickness,0,0])
                    square([2*segment_thickness,2*segment_thickness]);
                }
             if (round_hinges == 1)
                {
                 translate([0,0, hinge_diameter/2])
                 rotate([-90,0,0])
                   {
                    scale([1,1,0.5]) sphere(r = hinge_diameter/2, $fn = rez_mid);
                    translate([0,0, segment_width])
                        scale([1,1,0.5]) sphere(r = hinge_diameter/2, $fn = rez_mid);
                   }
                }
            if (round_edges == 1)
                {
                 translate([0,0,hinge_diameter/2])
                 rotate([0,90,0])
                 scale([1,0.5,1])
                    cylinder(d = hinge_diameter, h = clip_body_length, $fn = rez_mid);
                 translate([0,segment_width,hinge_diameter/2])
                 rotate([0,90,0])
                 scale([1,0.5,1])
                    cylinder(d = hinge_diameter, h = clip_body_length, $fn = rez_mid);
                }
            }
         //Negative
         translate([0,0,hinge_diameter/2])
         rotate([-90,0,0])
             Hinge_Tongue_Hole();
        }
     translate([0,0,hinge_diameter/2])
     rotate([-90,0,0])
         Hinge_Groove();

     //Arms of male clip__________________________________________________
     translate([0,0, clip_female_receiver_wall_thickness + slop])
        {
         Clip_Arm();
         translate([0,segment_width,0])
         mirror([0,1,0])
            Clip_Arm();

         translate([clip_body_length,(segment_width - clip_central_arm_width)/2,0])
            {
             cube([clip_arm_length - clip_central_arm_width/2, clip_central_arm_width, clip_arm_height]);
             translate([clip_arm_length - clip_central_arm_width/2, clip_central_arm_width/2, 0])
                cylinder(d = clip_central_arm_width, h = clip_arm_height, $fn = rez_mid);
            }
        }
    }

module Clip_Arm()
    {
     //Arm
     translate([clip_body_length,clip_arm_base_inset,0])
        cube([clip_arm_length, clip_arm_width, clip_arm_height]);
     //Angled tip
     translate([clip_body_length + clip_arm_length - clip_arm_tip_length ,0,0])
     linear_extrude(height = clip_arm_height)
        {
         coords=[ [0,0], [clip_arm_tip_length,clip_arm_base_inset], [0,clip_arm_base_inset]];
         polygon(coords);
        }
    }

module Clip_Female()
    {
     difference()
        {
         //Positive______________________________________________________________
         union()
            {
             rotate([-90,0,0])
             mirror([0,1,0])
             linear_extrude(height = segment_width)
             difference()
                {
                 square([clip_female_length,segment_thickness]);
                 translate([clip_female_length,hinge_diameter/2,0])
                 rotate([0,0,segment_max_fold/2])
                    square([2*segment_thickness,2*segment_thickness]);
                }
             translate([clip_female_length,0,hinge_diameter/2])
             rotate([-90,0,0])
             translate([0,0,0])
                    Hinge_Tongue();

             if (round_edges == 1)
                {
                 translate([0,0,hinge_diameter/2])
                 rotate([0,90,0])
                 scale([1,0.5,1])
                    cylinder(d = hinge_diameter, h = clip_female_length, $fn = rez_mid);
                 translate([0,segment_width,hinge_diameter/2])
                 rotate([0,90,0])
                 scale([1,0.5,1])
                    cylinder(d = hinge_diameter, h = clip_female_length, $fn = rez_mid);
                }
            }
         //Negative______________________________________________________________
         //Hinge
         translate([0,0,hinge_diameter/2])
         rotate([-90,0,0])
         translate([clip_female_length,0,0])
            {
             Hinge_Groove_Hole();
             cylinder(d = pin_hole_diameter, h = segment_width, $fn = rez_mid);
            }

         //Holes for arms
         translate([-epsilon, clip_female_receiver_wall_thickness, clip_female_receiver_wall_thickness])
            cube([clip_arm_length + slop,
                clip_arm_width + clip_arm_base_inset + slop + clip_female_receiver_wall_thickness,
                clip_arm_height + 2*slop]);
         translate([-epsilon,
            segment_width - clip_female_receiver_wall_thickness - (clip_arm_width + clip_arm_base_inset + slop + clip_female_receiver_wall_thickness),
                    clip_female_receiver_wall_thickness])
            cube([clip_arm_length + slop,
                clip_arm_width + clip_arm_base_inset + slop + clip_female_receiver_wall_thickness,
                clip_arm_height + 2*slop]);

         //Hole for squeeze
         translate([clip_arm_length - clip_arm_tip_length - 1, - hinge_diameter/4-epsilon, -epsilon])
            cube([clip_arm_tip_length + 1,
                clip_arm_width + clip_arm_base_inset + slop + 2*clip_female_receiver_wall_thickness + hinge_diameter/4,
                segment_thickness + 2*epsilon]);
         translate([clip_arm_length - clip_arm_tip_length - 1,
                segment_width - clip_female_receiver_wall_thickness - (clip_arm_width + clip_arm_base_inset + slop + clip_female_receiver_wall_thickness) +epsilon,
                -epsilon])
            cube([clip_arm_tip_length + 1,
                clip_arm_width + clip_arm_base_inset + slop + 2*clip_female_receiver_wall_thickness + hinge_diameter/4,
                segment_thickness + 2*epsilon]);

         //Hole for central insert
         translate([-epsilon, (segment_width - (clip_central_arm_width + 2*slop))/2, clip_female_receiver_wall_thickness])
            cube([clip_arm_length, clip_central_arm_width + 2*slop, clip_arm_height + 2*slop]);
        }
    }

module Segment_Body()
    {
     difference()
        {
         //Positive
         union()
            {
             rotate([-90,0,0])
             mirror([0,1,0])
             linear_extrude(height = segment_width)
             difference()
                {
                 square([segment_length,segment_thickness]);

                 //Proximal angle cut
                 translate([0, hinge_diameter/2, 0])
                 rotate([0,0,-segment_max_fold/2])
                 translate([-2*segment_thickness,0,0])
                    square([2*segment_thickness,2*segment_thickness]);
                 //Distal angle cut
                 translate([segment_length,hinge_diameter/2,0])
                 rotate([0,0,segment_max_fold/2])
                    square([2*segment_thickness,2*segment_thickness]);
                }
             translate([0,0,hinge_diameter/2])
             rotate([-90,0,0])
             translate([segment_length,0,0])
                    Hinge_Tongue();

             if (round_edges == 1)
                {
                 translate([0,0,hinge_diameter/2])
                 rotate([0,90,0])
                 scale([1,0.5,1])
                    cylinder(d = hinge_diameter, h = segment_length, $fn = rez_mid);
                 translate([0,segment_width,hinge_diameter/2])
                 rotate([0,90,0])
                 scale([1,0.5,1])
                    cylinder(d = hinge_diameter, h = segment_length, $fn = rez_mid);
                }
            }

         //Negative
         translate([0,0,hinge_diameter/2])
         rotate([-90,0,0])
            {
             Hinge_Tongue_Hole();
             translate([segment_length,0,0])
                {
                 Hinge_Groove_Hole();
                 cylinder(d = pin_hole_diameter, h = segment_width, $fn = rez_mid);
                }
            }
        }
     translate([0,0,hinge_diameter/2])
     rotate([-90,0,0])
        {
         Hinge_Groove();

         if (round_hinges == 1)
            {
             scale([1,1,0.5]) sphere(r = hinge_diameter/2, $fn = rez_mid);
             translate([0,0, segment_width]) scale([1,1,0.5])
                sphere(r = hinge_diameter/2, $fn = rez_mid);
            }
        }
    }

module Hinge_Tongue()
    {
     translate([0,0,groove_piece_height + slop])
     difference()
        {
         cylinder(d = hinge_diameter, h = hinge_tongue_width, $fn = rez_mid);
         translate([0,0,-epsilon])
            cylinder(d = pin_hole_diameter, h = 2*epsilon + segment_width * hinge_tongue_percent/100, $fn = rez_mid);
        }
    }
module Hinge_Tongue_Hole()
    {
     translate([0,0,groove_piece_height])
         cylinder(d = hinge_diameter + 2*slop, h = hinge_tongue_width + 2*slop, $fn = rez_mid);
    }

module Hinge_Groove()
    {
     cylinder(d = pin_diameter, h = segment_width, $fn = rez_mid);
     cylinder(d = hinge_diameter, h = groove_piece_height, $fn = rez_mid);
     translate([0,0,segment_width - groove_piece_height])
        cylinder(d = hinge_diameter, h = groove_piece_height, $fn = rez_mid);

    }
module Hinge_Groove_Hole()
    {
     translate([0,0,- hinge_diameter/2 -epsilon])
     cylinder(d = hinge_diameter + 2*slop, h = groove_piece_height + slop + hinge_diameter/2, $fn = rez_mid);

     translate([0,0,segment_width - groove_piece_height - slop + epsilon])
        cylinder(d = hinge_diameter + 2*slop, h = groove_piece_height + slop + hinge_diameter/2, $fn = rez_mid);
    }
```


[User]
I'd like to create a customizable tag with a rectangular base, a stem at the bottom, and text on the front, similar to a luggage tag. I need it to be parametric so I can easily adjust dimensions and features. Here are the specific requirements:

1.  **Overall Shape:** The main body should be a rectangle with rounded corners (filleted edges).
2.  **Dimensions:**
    *   `HEIGHT`: Total height of the rectangular base.
    *   `WIDTH`: Total width of the rectangular base.
    *   `THICKNESS`: Thickness of the entire tag.
3.  **Fillets:** The corners of the rectangular base should have fillets (rounded edges).
    *   `FILLET`: Radius of the corner fillets.
4.  **Text:** I need to be able to add text to the front of the tag.
    *   `TEXT`:  The text to be displayed. It should be centered on the tag.
    *   The text should be inset from the main surface of the tag by a certain amount.
    *   `INDENT`: The depth of the inset for the text.
5.  **Stem:** There should be a stem extending from the bottom of the tag.
    *   `STICK_WIDTH`: Width of the stem.
    *   `STICK_LENGTH`: Length of the stem.
    *   `STICK_PAD`:  The radius of the fillets on the side of the stem.
6.  **Center Piece:** Optionally, I want the ability to add a small rectangular piece in the center of the tag.
    *   `CENTER_PIECE`: Width of the center piece (0 for none) - it should extend across the entire height of the main body of the tag.
7.  **Libraries:**  I'd like to use a library if possible, so try to use the BOSL2 library, please.
8.  **Text Inset:**  It should be possible to control whether or not the text cuts all the way through the material. I want to be able to leave some thickness at the back to fill with, say, nail polish.
9. **No Top Hole:** There should not be a hole at the top like a typical luggage tag - instead there will only be the stem at the bottom.

Could you generate the OpenSCAD file(s) for this? I need the design to be fully customizable using the parameters above.

[Assistant]
tag_stick.scad:
```
HEIGHT=40;
// single digit 30, double 54
WIDTH=54;
THICKNESS=2;
CENTER_PIECE=0; // 0 for none
FILLET=2;
TEXT="24";
INDENT=1;
STICK_WIDTH = 10;
STICK_LENGTH = 50;
STICK_PAD=1;

//HOLE=2;
//LOOP_PAD=1;

hideTheNoneParameters();
module hideTheNoneParameters() {
    $fn=50;
    cornerFilletXOffset = WIDTH/2-FILLET;
    cornerFilletYOffset = HEIGHT-FILLET;
    //holePad=HOLE+LOOP_PAD;

    difference() {
        union() {
            // Corner fillets
            translate([-cornerFilletXOffset, FILLET, 0])
                cylinder(h=THICKNESS, r=FILLET, center=true);
            translate([cornerFilletXOffset, FILLET, 0])
                cylinder(h=THICKNESS, r=FILLET, center=true);
            translate([-cornerFilletXOffset, cornerFilletYOffset, 0])
                cylinder(h=THICKNESS, r=FILLET, center=true);
            translate([cornerFilletXOffset, cornerFilletYOffset, 0])
                cylinder(h=THICKNESS, r=FILLET, center=true);

            //Stick fillet bottom
            translate([-STICK_WIDTH/2+FILLET, -STICK_LENGTH+FILLET, 0])
                cylinder(h=THICKNESS, r=FILLET, center=true);
            translate([STICK_WIDTH/2-FILLET, -STICK_LENGTH+FILLET, 0])
                cylinder(h=THICKNESS, r=FILLET, center=true);

            // Base fillings
            translate([0, HEIGHT/2, 0]) {
                cube([WIDTH-2*FILLET, HEIGHT, THICKNESS], center=true);
                cube([WIDTH, HEIGHT-2*FILLET, THICKNESS], center=true);
            }
            // Loop
//            translate([0, HEIGHT+HOLE, 0]) {
//                cylinder(r=holePad, h=THICKNESS, center=true);
//                translate([0, -holePad/2, 0])
//                    cube([2*holePad, holePad, 2], center=true);
//            }
            // Loop fillet - the block
//            translate([holePad+LOOP_PAD/2, HEIGHT+LOOP_PAD/2, 0])
//                cube([LOOP_PAD, LOOP_PAD, THICKNESS],  center=true);
//            translate([-(holePad+LOOP_PAD/2), HEIGHT+LOOP_PAD/2, 0])
//                cube([LOOP_PAD, LOOP_PAD, THICKNESS],  center=true);
            // Stick fillet - the block
            translate([STICK_WIDTH/2+STICK_PAD/2, -STICK_PAD/2, 0])
                cube([STICK_PAD, STICK_PAD, THICKNESS],  center=true);
            translate([-(STICK_WIDTH/2+STICK_PAD/2), -STICK_PAD/2, 0])
                cube([STICK_PAD, STICK_PAD, THICKNESS],  center=true);
        }
        // Loop fillet
//        translate([holePad+LOOP_PAD, HEIGHT+LOOP_PAD, 0])
//            cylinder(r=LOOP_PAD, h=THICKNESS+1,  center=true);
//        translate([-(holePad+LOOP_PAD), HEIGHT+LOOP_PAD, 0])
//            cylinder(r=LOOP_PAD, h=THICKNESS+1,  center=true);
        // Stick fillet top
        translate([STICK_WIDTH/2+STICK_PAD, -STICK_PAD, 0])
            cylinder(r=STICK_PAD, h=THICKNESS+1,  center=true);
        translate([-(STICK_WIDTH/2+STICK_PAD), -STICK_PAD, 0])
            cylinder(r=STICK_PAD, h=THICKNESS+1,  center=true);

        // Loop hole
        //translate([0, HEIGHT+HOLE, 0])
        //    cylinder(r=HOLE, h=THICKNESS+1, center=true);

        // Text
        translate([0, HEIGHT/2, 0]) {
            linear_extrude(height=THICKNESS+1, center=true) {
                text(TEXT, font = "Liberation Sans:style=Bold", size=30, halign="center", valign="center");
            }
        }
    }
    translate([0, HEIGHT/2, -INDENT/2]) {
        cube([WIDTH-2*FILLET, HEIGHT, THICKNESS-INDENT], center=true);
        cube([WIDTH, HEIGHT-2*FILLET, THICKNESS-INDENT], center=true);
    }
    //Stick
    translate([0, -STICK_LENGTH/2, 0])
        cube([STICK_WIDTH-2*FILLET, STICK_LENGTH, THICKNESS], center=true);
    translate([0, -STICK_LENGTH/2+FILLET/2, 0])
        cube([STICK_WIDTH, STICK_LENGTH-FILLET, THICKNESS], center=true);

    translate([0, HEIGHT/2])
        cube([CENTER_PIECE, HEIGHT-2, THICKNESS], center=true);
}
```


[User]
Hey there, I'm looking to design a robust, parametric phone holder in OpenSCAD. I've made some holders before, but they've broken, so I want to make this one extra strong. I've got some specific ideas on the shape and dimensions, so let me lay it out.

First, the holder should have a kind of "V" shape in profile, with two sides at different angles to hold the phone. I'd need to be able to control:

*   **`holder_height`**: The overall height of the holder (the "V"). I need to be able to change this parameter.
*   **`holder_width`**: The width of the holder (how wide it is side-to-side).
*   **`holder_thickness`**: The thickness of the outer frame of the holder.
*   **`internal_thickness`**: The thickness of any internal supports (I might want those).
*  **`front_angle`**: The angle of the front-facing part of the V.
*   **`back_angle`**: The angle of the back-facing part of the V.
*   **`phone_thickness`**: This determines the overhang to allow for the phone thickness, though it doesn't determine the actual physical size of the holder.
*   **`internal_frame`**: A boolean to include or exclude any internal frame supports for strength. I want that to be an option.
*   **`make_void`**: A boolean to include or exclude material-saving voids in the frame.
* **`void_edge_width`**: If I *do* make a void, I need to set its width from the edge of the frame.

I'd like the design to be made up of essentially plates rotated and connected together to form the V, if that makes sense.

I am looking for the main .scad file to allow changes to the above parameters, and use functions to make the final object. So, no libraries needed. Could you whip that up for me?

[Assistant]
Phone_Holder2.scad:
```
////Phone_Holder2.scad
////OpenSCAD 2015.03-2
////Kijja Chaovanakij
////2019.11.01

/*[var]*/
//smooth [12]
$fa=12; //[[12:low,9:medium,6:high]]
//holder height[55]
holder_height=55; //[45:5:70]
//holder width[50]
holder_width=50; //[45:5:70]
//holder thickness[2.4]
holder_thickness=2.4; //[2:0.2:3]
//internal thickness[2]
internal_thickness=2; //[2:0.2:2.4]
//front angle[60]
front_angle=60; //[45:5:70]
//back angle[45]
back_angle=45; //[40:5:50]
//phone thickness[11.6]
phone_thickness=11.6; //[8:0.2:12]
//make internal frame
internal_frame=1; //[0:no,1:yes]
//make void to save material
make_void=1; //[0:no,1:yes]
//holder edge width[5]
void_edge_width=5; //[5:0.5:8]

/*[hidden]*/
$fs=0.2;
base_length=holder_height/tan(front_angle)+holder_height/tan(back_angle);
  echo("base_length=",base_length);
front_length=holder_height/sin(front_angle);
  echo("front_length=",front_length);
back_length=holder_height/sin(back_angle);
  echo("back_length=",back_length);
overhang_length=phone_thickness+holder_thickness;
  echo("overhang_length=",overhang_length);

////main
color("GreenYellow")
rotate([90,0,0]){
//make external frame
  external_frame();

//make internal frame
  if (internal_frame==1)
    internal_frame();

//make overhang
  linear_extrude(holder_width)
    front_overhang();

//make back shelf
  linear_extrude(holder_width)
    back_overhang();
}//r
////end main

module external_frame(){
  translate([0,0,0])
    rotate_cut_plate(base_length/2, holder_width, holder_thickness, 0, void_edge_width, make_void);
  translate([base_length/2,0,0])
    rotate_cut_plate(base_length/2, holder_width, holder_thickness, 0, void_edge_width, make_void);
  translate([0,0,0])
    rotate_cut_plate(back_length/2, holder_width, holder_thickness, back_angle, void_edge_width, make_void);
  translate([back_length/2*cos(back_angle),back_length/2*sin(back_angle),0])
    rotate_cut_plate(back_length/2, holder_width, holder_thickness, back_angle, void_edge_width, make_void);
  translate([base_length,0,0])
    rotate_cut_plate(front_length/2, holder_width, holder_thickness, 180-front_angle, void_edge_width, make_void);
  translate([base_length,0,0])
    translate([front_length/2*cos(180-front_angle),front_length/2*sin(180-front_angle),0])
      rotate_cut_plate(front_length/2, holder_width, holder_thickness, 180-front_angle, void_edge_width, make_void);
}//m
//

module internal_frame(){
  translate([base_length/2,0,0])
    rotate_cut_plate(back_length/2, holder_width, internal_thickness, back_angle, void_edge_width, make_void);
  translate([base_length/2,0,0])
    rotate_cut_plate(front_length/2, holder_width, internal_thickness, 180-front_angle, void_edge_width, make_void);
  translate([back_length*cos(back_angle)/2,back_length*sin(back_angle)/2,0])
    rotate_cut_plate(base_length/2, holder_width, internal_thickness, 0, void_edge_width, make_void);
}//m
//

module front_overhang(){
union(){
  translate([base_length,0,0])
    translate([overhang_length*cos(90-front_angle),overhang_length*sin(90-front_angle),0])
      rotate([0,0,180-front_angle])
      angle_arm(4,overhang_length,90,holder_thickness);
}//u
}//m
//

module back_overhang(){
  union(){
    translate([0,0,0])
      translate([overhang_length*cos(90+back_angle),overhang_length*sin(90+back_angle),0])
        rotate([0,0,270+back_angle])
        angle_arm(overhang_length,4,90,holder_thickness);
  }//u
}//m
//

module rotate_cut_plate(xsize,zsize,thick,angle,edge_wid,cut){
dia=min(xsize,zsize)-edge_wid*2;
rotate([-90,0,angle])
  difference(){
    rotate([90,0,0])
    linear_extrude(zsize)
    hull(){
      translate([0,0])
        circle(d=thick);
      translate([xsize,0])
        circle(d=thick);
    }//h
    if (cut==1)
      translate([xsize/2,-zsize/2,0])
        if (zsize > xsize)
          hull(){
            for (i=[-(-zsize/2+edge_wid+dia/2),(-zsize/2+edge_wid+dia/2)])
              translate([0,i,0])
                cylinder(d=dia,h=thick+0.01,center=true);
          }//h
    else
      cylinder(d=dia,h=thick+0.01,center=true);
}//d
}//m
//

module angle_arm(arm1,arm2,angle,dia){
  hull(){
    circle(d=dia);
    translate([arm1,0])
      circle(d=dia);
  }//h
  hull(){
    circle(d=dia);
    translate([arm2*cos(angle),arm2*sin(angle),0])
      circle(d=dia);
  }//h
}//m
//

```


[User]
Hi there, I'm looking to create a parametric knob for a lamp switch, and I'd like it designed in OpenSCAD. I have a few specific requirements and would appreciate your help.

The knob needs to attach to the knurled shaft of a lamp's rotary switch. I have a particular style in mind that will require a few different elements.

First, there needs to be a cylindrical socket to fit the lamp shaft. This socket should have a few parameters:

*   `shaft_diameter`: This parameter should define the inner diameter of the socket in millimeters.  This will need to be a bit flexible because the shaft diameters on various lamps will vary.
*   `shaft_length`:  The depth, in millimeters, of the socket for the shaft.
*   `shaft_fit_stretch`: This is a proportion by which the socket is squashed into an ellipse to provide a better grip on the shaft. A value of zero would make it a perfect circle, while a positive value makes it elliptical with the width being stretched by this amount.

The outside of the socket should have a smooth, rounded transition to the body of the knob.

The main body of the knob should have a somewhat antique key-like design with a repeating pattern. I would like two "key" features mirrored across the central axis of the knob. Each key element should have a series of concentric rings that grow larger as you move out from the center, like a series of stepped circles. The position and size of these rings should be parameterized. For example, maybe something like the `ring` module in the example provided, where the radius of the ring is defined by `r` and it extrudes a cross-section.

The overall design should support the possibility of multi-material printing, though the initial model need not focus on this too much. I am not looking for a knob that has threads, and the design should not require any screws.

I'm hoping for a clean design and looking forward to seeing your OpenSCAD files.  I'm primarily interested in the final knob shape; no need for support structures or anything like that.

Oh, and please ensure your code is well-commented so I can easily understand how each part works. I also need the generated files to be named `lamp_knob.scad`. I am not using any libraries.

[Assistant]
lamp-knob.scad:
```
// Diameter in mm of the shaft (inner diameter of the knob's socket). Adjustments will probably be required. Values that have worked for some lamps: 5.1, 6.1.
shaft_diameter = 5.6;

// Length in mm of the knob's socket for the shaft.
shaft_length = 15;

// Proportion of shaft_diameter by which to squash the socket out of round to aid in gripping the shaft. Zero is circular.
shaft_fit_stretch = 0.05;

/* [Hidden] */
sleeve = shaft_diameter + 2 * 0.8;
epsilon = 0.01;

main();

module main() {
    color("white")
    difference() {
        union() {
            hull() {
                key_base() key_outer() cylinder(r=10, center=true);

                shaft_fit_stretch()
                translate([0, 0, 5])
                rotate([90, 0, 0])
                cylinder(r=1, center=true);

            }

            shaft_fit_stretch()
            hull() {
                cylinder(d=sleeve, h=shaft_length, $fn=60);
                translate([0, 0, shaft_length]) sphere(d=sleeve, $fn=60);
            }
        }
        shaft_fit_stretch()
        translate([0, 0, -epsilon]) cylinder(d=shaft_diameter, h=shaft_length, $fn=30);
    }

    color("yellow")
    key_base() {
        mirrored([1, 0, 0])
        for (i = [4:2:10]) {
            s = i / 10;
            translate([10 * s - 20 * (1 - s), 0, 0])
            ring(r=10 * s);
        }
    }
}

module shaft_fit_stretch() {
    scale([1 + shaft_fit_stretch, 1 - shaft_fit_stretch * 0.5, 1])
    children();
}

module ring(r=10) {
    scale([1, 1, 1.2])
    rotate_extrude()
    translate([r, 0, 0])
    rotate(360 / 16)
    circle(d=2, $fn=8);
}

module key_base() {
    translate([0, 0, 10 + shaft_length])
    rotate([90, 0, 0])
    children();
}

module key_outer() {
    mirrored([1, 0, 0])
    translate([10, 0, 0])
    children();
}

module mirrored(axis) {
    children();
    mirror(axis) children();
}

```