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445 lines
17 KiB
OpenSCAD
445 lines
17 KiB
OpenSCAD
//////////////////////////////////////////////////////////////////////
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// LibFile: primitives.scad
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// The basic built-in shapes, reworked to integrate better with
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// other BOSL2 library shapes and utilities.
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// To use, add the following lines to the beginning of your file:
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// ```
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// include <BOSL2/std.scad>
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// ```
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//////////////////////////////////////////////////////////////////////
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// Section: 2D Primitives
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// Function&Module: square()
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// Usage:
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// square(size, [center], [rounding], [chamfer], [anchor], [spin])
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// Description:
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// When called as a module, creates a 2D square of the given size, with optional rounding or chamfering.
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// When called as a function, returns a 2D path/list of points for a square/rectangle of the given size.
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// Arguments:
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// size = The size of the square to create. If given as a scalar, both X and Y will be the same size.
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// rounding = The rounding radius for the corners. If given as a list of four numbers, gives individual radii for each corner, in the order [X+Y+,X-Y+,X-Y-,X+Y-]. Default: 0 (no rounding)
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// chamfer = The chamfer size for the corners. If given as a list of four numbers, gives individual chamfers for each corner, in the order [X+Y+,X-Y+,X-Y-,X+Y-]. Default: 0 (no chamfer)
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// center = If given and true, overrides `anchor` to be `CENTER`. If given and false, overrides `anchor` to be `FRONT+LEFT`.
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// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
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// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
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// Example(2D):
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// square(40);
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// Example(2D): Centered
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// square([40,30], center=true);
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// Example(2D): Anchored
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// square([40,30], anchor=FRONT);
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// Example(2D): Spun
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// square([40,30], anchor=FRONT, spin=30);
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// Example(2D): Chamferred Rect
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// square([40,30], chamfer=5, center=true);
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// Example(2D): Rounded Rect
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// square([40,30], rounding=5, center=true);
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// Example(2D): Mixed Chamferring and Rounding
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// square([40,30],center=true,rounding=[5,0,10,0],chamfer=[0,8,0,15],$fa=1,$fs=1);
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// Example(2D): Called as Function
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// path = square([40,30], chamfer=5, anchor=FRONT, spin=30);
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// stroke(path, closed=true);
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// move_copies(path) color("blue") circle(d=2,$fn=8);
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module square(size=1, center, rounding=0, chamfer=0, anchor, spin=0) {
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size = is_num(size)? [size,size] : point2d(size);
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anchor = get_anchor(anchor, center, FRONT+LEFT, FRONT+LEFT);
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pts = square(size=size, rounding=rounding, chamfer=chamfer, center=true);
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attachable(anchor,spin, two_d=true, size=size) {
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translate(-size/2) polygon(move(size/2,p=pts)); // Extraneous translation works around fine grid quantizing.
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children();
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}
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}
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function square(size=1, center, rounding=0, chamfer=0, anchor, spin=0) =
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assert(is_num(size) || is_vector(size))
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assert(is_num(chamfer) || len(chamfer)==4)
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assert(is_num(rounding) || len(rounding)==4)
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let(
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size = is_num(size)? [size,size] : point2d(size),
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anchor = get_anchor(anchor, center, FRONT+LEFT, FRONT+LEFT),
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complex = rounding!=0 || chamfer!=0
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)
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(rounding==0 && chamfer==0)? let(
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path = [
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[ size.x/2, -size.y/2],
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[-size.x/2, -size.y/2],
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[-size.x/2, size.y/2],
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[ size.x/2, size.y/2]
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]
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) rot(spin, p=move(-vmul(anchor,size/2), p=path)) :
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let(
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chamfer = is_list(chamfer)? chamfer : [for (i=[0:3]) chamfer],
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rounding = is_list(rounding)? rounding : [for (i=[0:3]) rounding],
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quadorder = [3,2,1,0],
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quadpos = [[1,1],[-1,1],[-1,-1],[1,-1]],
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insets = [for (i=[0:3]) chamfer[i]>0? chamfer[i] : rounding[i]>0? rounding[i] : 0],
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insets_x = max(insets[0]+insets[1],insets[2]+insets[3]),
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insets_y = max(insets[0]+insets[3],insets[1]+insets[2])
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)
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assert(insets_x <= size.x, "Requested roundings and/or chamfers exceed the square width.")
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assert(insets_y <= size.y, "Requested roundings and/or chamfers exceed the square height.")
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let(
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path = [
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for(i = [0:3])
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let(
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quad = quadorder[i],
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inset = insets[quad],
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cverts = quant(segs(inset),4)/4,
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cp = vmul(size/2-[inset,inset], quadpos[quad]),
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step = 90/cverts,
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angs =
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chamfer[quad] > 0? [0,-90]-90*[i,i] :
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rounding[quad] > 0? [for (j=[0:1:cverts]) 360-j*step-i*90] :
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[0]
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)
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each [for (a = angs) cp + inset*[cos(a),sin(a)]]
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]
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) complex?
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reorient(anchor,spin, two_d=true, path=path, p=path) :
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reorient(anchor,spin, two_d=true, size=size, p=path);
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// Function&Module: circle()
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// Usage:
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// circle(r|d, [realign], [circum])
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// Description:
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// When called as a module, creates a 2D polygon that approximates a circle of the given size.
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// When called as a function, returns a 2D list of points (path) for a polygon that approximates a circle of the given size.
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// Arguments:
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// r = The radius of the circle to create.
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// d = The diameter of the circle to create.
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// realign = If true, rotates the polygon that approximates the circle by half of one size.
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// circum = If true, the polygon that approximates the circle will be upsized slightly to circumscribe the theoretical circle. If false, it inscribes the theoretical circle. Default: false
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// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
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// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
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// Example(2D): By Radius
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// circle(r=25);
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// Example(2D): By Diameter
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// circle(d=50);
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// Example(2D): Anchoring
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// circle(d=50, anchor=FRONT);
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// Example(2D): Spin
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// circle(d=50, anchor=FRONT, spin=45);
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// Example(NORENDER): Called as Function
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// path = circle(d=50, anchor=FRONT, spin=45);
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module circle(r, d, realign=false, circum=false, anchor=CENTER, spin=0) {
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r = get_radius(r=r, d=d, dflt=1);
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sides = segs(r);
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rr = circum? r/cos(180/sides) : r;
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pts = circle(r=rr, realign=realign, $fn=sides);
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attachable(anchor,spin, two_d=true, r=rr) {
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polygon(pts);
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children();
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}
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}
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function circle(r, d, realign=false, circum=false, anchor=CENTER, spin=0) =
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let(
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r = get_radius(r=r, d=d, dflt=1),
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sides = segs(r),
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offset = realign? 180/sides : 0,
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rr = r / (circum? cos(180/sides) : 1),
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pts = [for (i=[0:1:sides-1]) let(a=360-offset-i*360/sides) rr*[cos(a),sin(a)]]
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) reorient(anchor,spin, two_d=true, r=rr, p=pts);
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// Section: Primitive 3D Shapes
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// Function&Module: cube()
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// Usage: As Module
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// cube(size, [center]);
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// Usage: As Function
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// vnf = cube(size, [center]);
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// Description:
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// Creates a 3D cubic object with support for anchoring and attachments.
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// This can be used as a drop-in replacement for the built-in `cube()` module.
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// When called as a function, returns a [VNF](vnf.scad) for a cube.
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// Arguments:
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// size = The size of the cube.
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// center = If given, overrides `anchor`. A true value sets `anchor=CENTER`, false sets `anchor=ALLNEG`.
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// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
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// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
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// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
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// Example: Simple cube.
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// cube(40);
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// Example: Rectangular cube.
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// cube([20,40,50]);
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// Example: Anchoring.
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// cube([20,40,50], anchor=BOTTOM+FRONT);
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// Example: Spin.
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// cube([20,40,50], anchor=BOTTOM+FRONT, spin=30);
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// Example: Orientation.
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// cube([20,40,50], anchor=BOTTOM+FRONT, spin=30, orient=FWD);
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// Example: Standard Connectors.
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// cube(40, center=true) show_anchors();
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// Example: Called as Function
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// vnf = cube([20,40,50]);
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// vnf_polyhedron(vnf);
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module cube(size=1, center, anchor, spin=0, orient=UP)
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{
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anchor = get_anchor(anchor, center, ALLNEG, ALLNEG);
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vnf = cube(size, center=true);
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siz = scalar_vec3(size);
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attachable(anchor,spin,orient, size=siz) {
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vnf_polyhedron(vnf, convexity=2);
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children();
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}
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}
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function cube(size=1, center, anchor, spin=0, orient=UP) =
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let(
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siz = scalar_vec3(size),
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anchor = get_anchor(anchor, center, ALLNEG, ALLNEG),
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unscaled = [
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[-1,-1,-1],[1,-1,-1],[1,1,-1],[-1,1,-1],
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[-1,-1, 1],[1,-1, 1],[1,1, 1],[-1,1, 1],
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]/2,
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verts = is_num(size)? unscaled * size :
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is_vector(size,3)? [for (p=unscaled) vmul(p,size)] :
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assert(is_num(size) || is_vector(size,3)),
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faces = [
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[0,1,2], [0,2,3], //BOTTOM
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[0,4,5], [0,5,1], //FRONT
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[1,5,6], [1,6,2], //RIGHT
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[2,6,7], [2,7,3], //BACK
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[3,7,4], [3,4,0], //LEFT
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[6,4,7], [6,5,4] //TOP
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]
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) [reorient(anchor,spin,orient, size=siz, p=verts), faces];
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// Function&Module: cylinder()
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// Usage: As Module
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// cylinder(h, r|d, [center]);
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// cylinder(h, r1/d1, r2/d2, [center]);
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// Usage: As Function
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// vnf = cylinder(h, r|d, [center]);
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// vnf = cylinder(h, r1/d1, r2/d2, [center]);
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// Description:
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// Creates a 3D cylinder or conic object with support for anchoring and attachments.
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// This can be used as a drop-in replacement for the built-in `cylinder()` module.
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// When called as a function, returns a [VNF](vnf.scad) for a cylinder.
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// Arguments:
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// l / h = The height of the cylinder.
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// r1 = The bottom radius of the cylinder. (Before orientation.)
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// r2 = The top radius of the cylinder. (Before orientation.)
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// center = If given, overrides `anchor`. A true value sets `anchor=CENTER`, false sets `anchor=BOTTOM`.
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// d1 = The bottom diameter of the cylinder. (Before orientation.)
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// d2 = The top diameter of the cylinder. (Before orientation.)
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// r = The radius of the cylinder.
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// d = The diameter of the cylinder.
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// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
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// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
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// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
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// Example: By Radius
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// xdistribute(30) {
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// cylinder(h=40, r=10);
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// cylinder(h=40, r1=10, r2=5);
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// }
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// Example: By Diameter
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// xdistribute(30) {
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// cylinder(h=40, d=25);
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// cylinder(h=40, d1=25, d2=10);
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// }
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// Example(Med): Anchoring
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// cylinder(h=40, r1=10, r2=5, anchor=BOTTOM+FRONT);
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// Example(Med): Spin
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// cylinder(h=40, r1=10, r2=5, anchor=BOTTOM+FRONT, spin=45);
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// Example(Med): Orient
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// cylinder(h=40, r1=10, r2=5, anchor=BOTTOM+FRONT, spin=45, orient=FWD);
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// Example(Big): Standard Connectors
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// xdistribute(40) {
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// cylinder(h=30, d=25) show_anchors();
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// cylinder(h=30, d1=25, d2=10) show_anchors();
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// }
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module cylinder(h, r1, r2, center, l, r, d, d1, d2, anchor, spin=0, orient=UP)
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{
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anchor = get_anchor(anchor, center, BOTTOM, BOTTOM);
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r1 = get_radius(r1=r1, r=r, d1=d1, d=d, dflt=1);
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r2 = get_radius(r1=r2, r=r, d1=d2, d=d, dflt=1);
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l = first_defined([h, l, 1]);
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sides = segs(max(r1,r2));
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vnf = cylinder(l=l, r1=r1, r2=r2, center=true);
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attachable(anchor,spin,orient, r1=r1, r2=r2, l=l) {
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vnf_polyhedron(vnf, convexity=2);
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children();
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}
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}
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function cylinder(h, r1, r2, center, l, r, d, d1, d2, anchor, spin=0, orient=UP) =
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let(
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anchor = get_anchor(anchor, center, BOTTOM, BOTTOM),
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r1 = get_radius(r1=r1, r=r, d1=d1, d=d, dflt=1),
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r2 = get_radius(r1=r2, r=r, d1=d2, d=d, dflt=1),
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l = first_defined([h, l, 1]),
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sides = segs(max(r1,r2)),
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verts = [
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for (i=[0:1:sides-1]) let(a=360*(1-i/sides)) [r1*cos(a),r1*sin(a),-l/2],
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for (i=[0:1:sides-1]) let(a=360*(1-i/sides)) [r2*cos(a),r2*sin(a), l/2],
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],
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faces = [
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[for (i=[0:1:sides-1]) sides-1-i],
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for (i=[0:1:sides-1]) [i, ((i+1)%sides)+sides, i+sides],
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for (i=[0:1:sides-1]) [i, (i+1)%sides, ((i+1)%sides)+sides],
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[for (i=[0:1:sides-1]) sides+i]
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]
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) [reorient(anchor,spin,orient, l=l, r1=r1, r2=r2, p=verts), faces];
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// Function&Module: sphere()
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// Usage: As Module
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// sphere(r|d, [circum], [style])
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// Usage: As Function
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// vnf = sphere(r|d, [circum], [style])
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// Description:
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// Creates a sphere object, with support for anchoring and attachments.
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// This is a drop-in replacement for the built-in `sphere()` module.
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// When called as a function, returns a [VNF](vnf.scad) for a sphere.
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// Arguments:
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// r = Radius of the sphere.
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// d = Diameter of the sphere.
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// circum = If true, the sphere is made large enough to circumscribe the sphere of the ideal side. Otherwise inscribes. Default: false (inscribes)
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// style = The style of the sphere's construction. One of "orig", "alt", "stagger", or "icosa". Default: "orig"
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// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
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// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
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// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
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// Example: By Radius
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// sphere(r=50);
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// Example: By Diameter
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// sphere(d=100);
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// Example: style="orig"
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// sphere(d=100, style="orig", $fn=10);
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// Example: style="alt"
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// sphere(d=100, style="alt", $fn=10);
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// Example: style="stagger"
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// sphere(d=100, style="stagger", $fn=10);
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// Example: style="icosa"
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// sphere(d=100, style="icosa", $fn=10);
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// // In "icosa" style, $fn is quantized
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// // to the nearest multiple of 5.
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// Example: Anchoring
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// sphere(d=100, anchor=FRONT);
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// Example: Spin
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// sphere(d=100, anchor=FRONT, spin=45);
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// Example: Orientation
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// sphere(d=100, anchor=FRONT, spin=45, orient=FWD);
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// Example: Standard Connectors
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// sphere(d=50) show_anchors();
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// Example: Called as Function
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// vnf = sphere(d=100, style="icosa");
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// vnf_polyhedron(vnf);
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module sphere(r, d, circum=false, style="orig", anchor=CENTER, spin=0, orient=UP)
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{
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r = get_radius(r=r, d=d, dflt=1);
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sides = segs(r);
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vnf = sphere(r=r, circum=circum, style=style);
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attachable(anchor,spin,orient, r=r) {
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vnf_polyhedron(vnf, convexity=2);
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children();
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}
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}
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function sphere(r, d, circum=false, style="orig", anchor=CENTER, spin=0, orient=UP) =
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let(
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r = get_radius(r=r, d=d, dflt=1),
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hsides = segs(r),
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vsides = max(2,ceil(hsides/2)),
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icosa_steps = round(max(5,hsides)/5),
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rr = circum? (r / cos(90/vsides) / cos(180/hsides)) : r,
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stagger = style=="stagger",
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verts = style=="orig"? [
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for (i=[0:1:vsides-1]) let(phi = (i+0.5)*180/(vsides))
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for (j=[0:1:hsides-1]) let(theta = j*360/hsides)
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spherical_to_xyz(rr, theta, phi),
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] : style=="alt" || style=="stagger"? [
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spherical_to_xyz(rr, 0, 0),
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for (i=[1:1:vsides-1]) let(phi = i*180/vsides)
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for (j=[0:1:hsides-1]) let(theta = (j+((stagger && i%2!=0)?0.5:0))*360/hsides)
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spherical_to_xyz(rr, theta, phi),
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spherical_to_xyz(rr, 0, 180)
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] : style=="icosa"? [
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for (tb=[0,1], j=[0,2], i = [0:1:4]) let(
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theta0 = i*360/5,
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theta1 = (i-0.5)*360/5,
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theta2 = (i+0.5)*360/5,
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phi0 = 180/3 * j,
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phi1 = 180/3,
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v0 = spherical_to_xyz(1,theta0,phi0),
|
|
v1 = spherical_to_xyz(1,theta1,phi1),
|
|
v2 = spherical_to_xyz(1,theta2,phi1),
|
|
ax0 = vector_axis(v0, v1),
|
|
ang0 = vector_angle(v0, v1),
|
|
ax1 = vector_axis(v0, v2),
|
|
ang1 = vector_angle(v0, v2)
|
|
)
|
|
for (k = [0:1:icosa_steps]) let(
|
|
u = k/icosa_steps,
|
|
vv0 = rot(ang0*u, ax0, p=v0),
|
|
vv1 = rot(ang1*u, ax1, p=v0),
|
|
ax2 = vector_axis(vv0, vv1),
|
|
ang2 = vector_angle(vv0, vv1)
|
|
)
|
|
for (l = [0:1:k]) let(
|
|
v = k? l/k : 0,
|
|
pt = rot(ang2*v, v=ax2, p=vv0) * rr * (tb? -1 : 1)
|
|
) pt
|
|
] : assert(in_list(style,["orig","alt","stagger","icosa"])),
|
|
lv = len(verts),
|
|
faces = style=="orig"? [
|
|
[for (i=[0:1:hsides-1]) hsides-i-1],
|
|
[for (i=[0:1:hsides-1]) lv-hsides+i],
|
|
for (i=[0:1:vsides-2], j=[0:1:hsides-1]) each [
|
|
[(i+1)*hsides+j, i*hsides+j, i*hsides+(j+1)%hsides],
|
|
[(i+1)*hsides+j, i*hsides+(j+1)%hsides, (i+1)*hsides+(j+1)%hsides],
|
|
]
|
|
] : style=="alt" || style=="stagger"? [
|
|
for (i=[0:1:hsides-1]) let(
|
|
b2 = lv-2-hsides
|
|
) each [
|
|
[i+1, 0, ((i+1)%hsides)+1],
|
|
[lv-1, b2+i+1, b2+((i+1)%hsides)+1],
|
|
],
|
|
for (i=[0:1:vsides-3], j=[0:1:hsides-1]) let(
|
|
base = 1 + hsides*i
|
|
) each (
|
|
(stagger && i%2!=0)? [
|
|
[base+j, base+hsides+j%hsides, base+hsides+(j+hsides-1)%hsides],
|
|
[base+j, base+(j+1)%hsides, base+hsides+j],
|
|
] : [
|
|
[base+j, base+(j+1)%hsides, base+hsides+(j+1)%hsides],
|
|
[base+j, base+hsides+(j+1)%hsides, base+hsides+j],
|
|
]
|
|
)
|
|
] : style=="icosa"? let(
|
|
pyr = [for (x=[0:1:icosa_steps+1]) x],
|
|
tri = sum(pyr),
|
|
soff = cumsum(pyr)
|
|
) [
|
|
for (tb=[0,1], j=[0,1], i = [0:1:4]) let(
|
|
base = ((((tb*2) + j) * 5) + i) * tri
|
|
)
|
|
for (k = [0:1:icosa_steps-1])
|
|
for (l = [0:1:k]) let(
|
|
v1 = base + soff[k] + l,
|
|
v2 = base + soff[k+1] + l,
|
|
v3 = base + soff[k+1] + (l + 1),
|
|
faces = [
|
|
if(l>0) [v1-1,v1,v2],
|
|
[v1,v3,v2],
|
|
],
|
|
faces2 = (tb+j)%2? [for (f=faces) reverse(f)] : faces
|
|
) each faces2
|
|
] : []
|
|
) [reorient(anchor,spin,orient, r=r, p=verts), faces];
|
|
|
|
|
|
// vim: noexpandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap
|