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BOSL2/shapes.scad
Revar Desmera 38b45544ee Fixed octahedral triangulated spheroid().
2020-06-23 04:40:36 -07:00

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//////////////////////////////////////////////////////////////////////
// LibFile: shapes.scad
// Common useful shapes and structured objects.
// To use, add the following lines to the beginning of your file:
// ```
// include <BOSL2/std.scad>
// ```
//////////////////////////////////////////////////////////////////////
// Section: Cuboids
// Module: cuboid()
//
// Description:
// Creates a cube or cuboid object, with optional chamfering or rounding.
// Negative chamfers and roundings can be applied to create external masks,
// but only apply to edges around the top or bottom faces.
//
// Arguments:
// size = The size of the cube.
// chamfer = Size of chamfer, inset from sides. Default: No chamfering.
// rounding = Radius of the edge rounding. Default: No rounding.
// edges = Edges to chamfer/round. See the docs for [`edges()`](edges.scad#edges) to see acceptable values. Default: All edges.
// except_edges = Edges to explicitly NOT chamfer/round. See the docs for [`edges()`](edges.scad#edges) to see acceptable values. Default: No edges.
// trimcorners = If true, rounds or chamfers corners where three chamfered/rounded edges meet. Default: `true`
// p1 = Align the cuboid's corner at `p1`, if given. Forces `anchor=ALLNEG`.
// p2 = If given with `p1`, defines the cornerpoints of the cuboid.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards. See [orient](attachments.scad#orient). Default: `UP`
//
// Example: Simple regular cube.
// cuboid(40);
// Example: Cube with minimum cornerpoint given.
// cuboid(20, p1=[10,0,0]);
// Example: Rectangular cube, with given X, Y, and Z sizes.
// cuboid([20,40,50]);
// Example: Cube by Opposing Corners.
// cuboid(p1=[0,10,0], p2=[20,30,30]);
// Example: Chamferred Edges and Corners.
// cuboid([30,40,50], chamfer=5);
// Example: Chamferred Edges, Untrimmed Corners.
// cuboid([30,40,50], chamfer=5, trimcorners=false);
// Example: Rounded Edges and Corners
// cuboid([30,40,50], rounding=10);
// Example: Rounded Edges, Untrimmed Corners
// cuboid([30,40,50], rounding=10, trimcorners=false);
// Example: Chamferring Selected Edges
// cuboid([30,40,50], chamfer=5, edges=[TOP+FRONT,TOP+RIGHT,FRONT+RIGHT], $fn=24);
// Example: Rounding Selected Edges
// cuboid([30,40,50], rounding=5, edges=[TOP+FRONT,TOP+RIGHT,FRONT+RIGHT], $fn=24);
// Example: Negative Chamferring
// cuboid([30,40,50], chamfer=-5, edges=[TOP,BOT], except_edges=RIGHT, $fn=24);
// Example: Negative Chamferring, Untrimmed Corners
// cuboid([30,40,50], chamfer=-5, edges=[TOP,BOT], except_edges=RIGHT, trimcorners=false, $fn=24);
// Example: Negative Rounding
// cuboid([30,40,50], rounding=-5, edges=[TOP,BOT], except_edges=RIGHT, $fn=24);
// Example: Negative Rounding, Untrimmed Corners
// cuboid([30,40,50], rounding=-5, edges=[TOP,BOT], except_edges=RIGHT, trimcorners=false, $fn=24);
// Example: Standard Connectors
// cuboid(40) show_anchors();
module cuboid(
size=[1,1,1],
p1=undef, p2=undef,
chamfer=undef,
rounding=undef,
edges=EDGES_ALL,
except_edges=[],
trimcorners=true,
anchor=CENTER,
spin=0,
orient=UP
) {
size = scalar_vec3(size);
edges = edges(edges, except=except_edges);
if (!is_undef(p1)) {
if (!is_undef(p2)) {
translate(pointlist_bounds([p1,p2])[0]) {
cuboid(size=vabs(p2-p1), chamfer=chamfer, rounding=rounding, edges=edges, trimcorners=trimcorners, anchor=ALLNEG) children();
}
} else {
translate(p1) {
cuboid(size=size, chamfer=chamfer, rounding=rounding, edges=edges, trimcorners=trimcorners, anchor=ALLNEG) children();
}
}
} else {
if (chamfer != undef) {
if (any(edges[0])) assert(chamfer <= size.y/2 && chamfer <=size.z/2, "chamfer must be smaller than half the cube length or height.");
if (any(edges[1])) assert(chamfer <= size.x/2 && chamfer <=size.z/2, "chamfer must be smaller than half the cube width or height.");
if (any(edges[2])) assert(chamfer <= size.x/2 && chamfer <=size.y/2, "chamfer must be smaller than half the cube width or length.");
}
if (rounding != undef) {
if (any(edges[0])) assert(rounding <= size.y/2 && rounding<=size.z/2, "rounding radius must be smaller than half the cube length or height.");
if (any(edges[1])) assert(rounding <= size.x/2 && rounding<=size.z/2, "rounding radius must be smaller than half the cube width or height.");
if (any(edges[2])) assert(rounding <= size.x/2 && rounding<=size.y/2, "rounding radius must be smaller than half the cube width or length.");
}
majrots = [[0,90,0], [90,0,0], [0,0,0]];
attachable(anchor,spin,orient, size=size) {
if (chamfer != undef) {
if (edges == EDGES_ALL && trimcorners) {
if (chamfer<0) {
cube(size, center=true) {
attach(TOP) prismoid([size.x,size.y], [size.x-2*chamfer,size.y-2*chamfer], h=-chamfer, anchor=TOP);
attach(BOT) prismoid([size.x,size.y], [size.x-2*chamfer,size.y-2*chamfer], h=-chamfer, anchor=TOP);
}
} else {
isize = [for (v = size) max(0.001, v-2*chamfer)];
hull() {
cube([size.x, isize.y, isize.z], center=true);
cube([isize.x, size.y, isize.z], center=true);
cube([isize.x, isize.y, size.z], center=true);
}
}
} else if (chamfer<0) {
ach = abs(chamfer);
cube(size, center=true);
// External-Chamfer mask edges
difference() {
union() {
for (i = [0:3], axis=[0:1]) {
if (edges[axis][i]>0) {
vec = EDGE_OFFSETS[axis][i];
translate(vmul(vec/2, size+[ach,ach,-ach])) {
rotate(majrots[axis]) {
cube([ach, ach, size[axis]], center=true);
}
}
}
}
// Add multi-edge corners.
if (trimcorners) {
for (za=[-1,1], ya=[-1,1], xa=[-1,1]) {
if (corner_edge_count(edges, [xa,ya,za]) > 1) {
translate(vmul([xa,ya,za]/2, size+[ach-0.01,ach-0.01,-ach])) {
cube([ach+0.01,ach+0.01,ach], center=true);
}
}
}
}
}
// Remove bevels from overhangs.
for (i = [0:3], axis=[0:1]) {
if (edges[axis][i]>0) {
vec = EDGE_OFFSETS[axis][i];
translate(vmul(vec/2, size+[2*ach,2*ach,-2*ach])) {
rotate(majrots[axis]) {
zrot(45) cube([ach*sqrt(2), ach*sqrt(2), size[axis]+2.1*ach], center=true);
}
}
}
}
}
} else {
difference() {
cube(size, center=true);
// Chamfer edges
for (i = [0:3], axis=[0:2]) {
if (edges[axis][i]>0) {
translate(vmul(EDGE_OFFSETS[axis][i], size/2)) {
rotate(majrots[axis]) {
zrot(45) cube([chamfer*sqrt(2), chamfer*sqrt(2), size[axis]+0.01], center=true);
}
}
}
}
// Chamfer triple-edge corners.
if (trimcorners) {
for (za=[-1,1], ya=[-1,1], xa=[-1,1]) {
if (corner_edge_count(edges, [xa,ya,za]) > 2) {
translate(vmul([xa,ya,za]/2, size-[1,1,1]*chamfer*4/3)) {
rot(from=UP, to=[xa,ya,za]) {
cube(chamfer*3, anchor=BOTTOM);
}
}
}
}
}
}
}
} else if (rounding != undef) {
sides = quantup(segs(rounding),4);
if (edges == EDGES_ALL) {
if(rounding<0) {
cube(size, center=true);
zflip_copy() {
up(size.z/2) {
difference() {
down(-rounding/2) cube([size.x-2*rounding, size.y-2*rounding, -rounding], center=true);
down(-rounding) {
ycopies(size.y-2*rounding) xcyl(l=size.x-3*rounding, r=-rounding);
xcopies(size.x-2*rounding) ycyl(l=size.y-3*rounding, r=-rounding);
}
}
}
}
} else {
isize = [for (v = size) max(0.001, v-2*rounding)];
minkowski() {
cube(isize, center=true);
if (trimcorners) {
spheroid(r=rounding, style="octa", $fn=sides);
} else {
intersection() {
cyl(r=rounding, h=rounding*2, $fn=sides);
rotate([90,0,0]) cyl(r=rounding, h=rounding*2, $fn=sides);
rotate([0,90,0]) cyl(r=rounding, h=rounding*2, $fn=sides);
}
}
}
}
} else if (rounding<0) {
ard = abs(rounding);
cube(size, center=true);
// External-Chamfer mask edges
difference() {
union() {
for (i = [0:3], axis=[0:1]) {
if (edges[axis][i]>0) {
vec = EDGE_OFFSETS[axis][i];
translate(vmul(vec/2, size+[ard,ard,-ard])) {
rotate(majrots[axis]) {
cube([ard, ard, size[axis]], center=true);
}
}
}
}
// Add multi-edge corners.
if (trimcorners) {
for (za=[-1,1], ya=[-1,1], xa=[-1,1]) {
if (corner_edge_count(edges, [xa,ya,za]) > 1) {
translate(vmul([xa,ya,za]/2, size+[ard-0.01,ard-0.01,-ard])) {
cube([ard+0.01,ard+0.01,ard], center=true);
}
}
}
}
}
// Remove roundings from overhangs.
for (i = [0:3], axis=[0:1]) {
if (edges[axis][i]>0) {
vec = EDGE_OFFSETS[axis][i];
translate(vmul(vec/2, size+[2*ard,2*ard,-2*ard])) {
rotate(majrots[axis]) {
cyl(l=size[axis]+2.1*ard, r=ard);
}
}
}
}
}
} else {
difference() {
cube(size, center=true);
// Round edges.
for (i = [0:3], axis=[0:2]) {
if (edges[axis][i]>0) {
difference() {
translate(vmul(EDGE_OFFSETS[axis][i], size/2)) {
rotate(majrots[axis]) cube([rounding*2, rounding*2, size[axis]+0.1], center=true);
}
translate(vmul(EDGE_OFFSETS[axis][i], size/2 - [1,1,1]*rounding)) {
rotate(majrots[axis]) cyl(h=size[axis]+0.2, r=rounding, $fn=sides);
}
}
}
}
// Round triple-edge corners.
if (trimcorners) {
for (za=[-1,1], ya=[-1,1], xa=[-1,1]) {
if (corner_edge_count(edges, [xa,ya,za]) > 2) {
difference() {
translate(vmul([xa,ya,za], size/2)) {
cube(rounding*2, center=true);
}
translate(vmul([xa,ya,za], size/2-[1,1,1]*rounding)) {
spheroid(r=rounding, style="octa", $fn=sides);
}
}
}
}
}
}
}
} else {
cube(size=size, center=true);
}
children();
}
}
}
// Section: Prismoids
// Function&Module: prismoid()
//
// Usage: As Module
// prismoid(size1, size2, h|l, [shift], [rounding], [chamfer]);
// prismoid(size1, size2, h|l, [shift], [rounding1], [rounding2], [chamfer1], [chamfer2]);
// Usage: As Function
// vnf = prismoid(size1, size2, h|l, [shift], [rounding], [chamfer]);
// vnf = prismoid(size1, size2, h|l, [shift], [rounding1], [rounding2], [chamfer1], [chamfer2]);
//
// Description:
// Creates a rectangular prismoid shape with optional roundovers and chamfering.
// You can only round or chamfer the vertical(ish) edges. For those edges, you can
// specify rounding and/or chamferring per-edge, and for top and bottom separately.
// Note: if using chamfers or rounding, you **must** also include the hull.scad file:
// ```
// include <BOSL2/hull.scad>
// ```
//
// Arguments:
// size1 = [width, length] of the axis-negative end of the prism.
// size2 = [width, length] of the axis-positive end of the prism.
// h|l = Height of the prism.
// shift = [X,Y] amount to shift the center of the top with respect to the center of the bottom.
// rounding = The roundover radius for the edges of the prismoid. Requires including hull.scad. 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)
// rounding1 = The roundover radius for the bottom corners of the prismoid. Requires including hull.scad. 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-].
// rounding2 = The roundover radius for the top corners of the prismoid. Requires including hull.scad. 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-].
// chamfer = The chamfer size for the edges of the prismoid. Requires including hull.scad. 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)
// chamfer1 = The chamfer size for the bottom corners of the prismoid. Requires including hull.scad. 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-].
// chamfer2 = The chamfer size for the top corners of the prismoid. Requires including hull.scad. 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-].
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
//
// Example: Rectangular Pyramid
// prismoid([40,40], [0,0], h=20);
// Example: Prism
// prismoid(size1=[40,40], size2=[0,40], h=20);
// Example: Truncated Pyramid
// prismoid(size1=[35,50], size2=[20,30], h=20);
// Example: Wedge
// prismoid(size1=[60,35], size2=[30,0], h=30);
// Example: Truncated Tetrahedron
// prismoid(size1=[10,40], size2=[40,10], h=40);
// Example: Inverted Truncated Pyramid
// prismoid(size1=[15,5], size2=[30,20], h=20);
// Example: Right Prism
// prismoid(size1=[30,60], size2=[0,60], shift=[-15,0], h=30);
// Example(FlatSpin): Shifting/Skewing
// prismoid(size1=[50,30], size2=[20,20], h=20, shift=[15,5]);
// Example: Rounding
// include <BOSL2/hull.scad>
// prismoid(100, 80, rounding=10, h=30);
// Example: Outer Chamfer Only
// include <BOSL2/hull.scad>
// prismoid(100, 80, chamfer=5, h=30);
// Example: Gradiant Rounding
// include <BOSL2/hull.scad>
// prismoid(100, 80, rounding1=10, rounding2=0, h=30);
// Example: Per Corner Rounding
// include <BOSL2/hull.scad>
// prismoid(100, 80, rounding=[0,5,10,15], h=30);
// Example: Per Corner Chamfer
// include <BOSL2/hull.scad>
// prismoid(100, 80, chamfer=[0,5,10,15], h=30);
// Example: Mixing Chamfer and Rounding
// include <BOSL2/hull.scad>
// prismoid(100, 80, chamfer=[0,5,0,10], rounding=[5,0,10,0], h=30);
// Example: Really Mixing It Up
// include <BOSL2/hull.scad>
// prismoid(
// size1=[100,80], size2=[80,60], h=20,
// chamfer1=[0,5,0,10], chamfer2=[5,0,10,0],
// rounding1=[5,0,10,0], rounding2=[0,5,0,10]
// );
// Example(Spin): Standard Connectors
// prismoid(size1=[50,30], size2=[20,20], h=20, shift=[15,5])
// show_anchors();
module prismoid(
size1, size2, h, shift=[0,0],
rounding=0, rounding1, rounding2,
chamfer=0, chamfer1, chamfer2,
l, center,
anchor, spin=0, orient=UP
) {
assert(is_num(size1) || is_vector(size1,2));
assert(is_num(size2) || is_vector(size2,2));
assert(is_num(h) || is_num(l));
assert(is_vector(shift,2));
assert(is_num(rounding) || is_vector(rounding,4), "Bad rounding argument.");
assert(is_undef(rounding1) || is_num(rounding1) || is_vector(rounding1,4), "Bad rounding1 argument.");
assert(is_undef(rounding2) || is_num(rounding2) || is_vector(rounding2,4), "Bad rounding2 argument.");
assert(is_num(chamfer) || is_vector(chamfer,4), "Bad chamfer argument.");
assert(is_undef(chamfer1) || is_num(chamfer1) || is_vector(chamfer1,4), "Bad chamfer1 argument.");
assert(is_undef(chamfer2) || is_num(chamfer2) || is_vector(chamfer2,4), "Bad chamfer2 argument.");
eps = pow(2,-14);
size1 = is_num(size1)? [size1,size1] : size1;
size2 = is_num(size2)? [size2,size2] : size2;
s1 = [max(size1.x, eps), max(size1.y, eps)];
s2 = [max(size2.x, eps), max(size2.y, eps)];
rounding1 = default(rounding1, rounding);
rounding2 = default(rounding2, rounding);
chamfer1 = default(chamfer1, chamfer);
chamfer2 = default(chamfer2, chamfer);
anchor = get_anchor(anchor, center, BOT, BOT);
vnf = prismoid(
size1=size1, size2=size2, h=h, shift=shift,
rounding=rounding, rounding1=rounding1, rounding2=rounding2,
chamfer=chamfer, chamfer1=chamfer1, chamfer2=chamfer2,
l=l, center=CENTER
);
attachable(anchor,spin,orient, size=[s1.x,s1.y,h], size2=s2, shift=shift) {
vnf_polyhedron(vnf, convexity=4);
children();
}
}
function prismoid(
size1, size2, h, shift=[0,0],
rounding=0, rounding1, rounding2,
chamfer=0, chamfer1, chamfer2,
l, center,
anchor=DOWN, spin=0, orient=UP
) =
assert(is_vector(size1,2))
assert(is_vector(size2,2))
assert(is_num(h) || is_num(l))
assert(is_vector(shift,2))
assert(is_num(rounding) || is_vector(rounding,4), "Bad rounding argument.")
assert(is_undef(rounding1) || is_num(rounding1) || is_vector(rounding1,4), "Bad rounding1 argument.")
assert(is_undef(rounding2) || is_num(rounding2) || is_vector(rounding2,4), "Bad rounding2 argument.")
assert(is_num(chamfer) || is_vector(chamfer,4), "Bad chamfer argument.")
assert(is_undef(chamfer1) || is_num(chamfer1) || is_vector(chamfer1,4), "Bad chamfer1 argument.")
assert(is_undef(chamfer2) || is_num(chamfer2) || is_vector(chamfer2,4), "Bad chamfer2 argument.")
let(
eps = pow(2,-14),
h = first_defined([h,l,1]),
shiftby = point3d(point2d(shift)),
s1 = [max(size1.x, eps), max(size1.y, eps)],
s2 = [max(size2.x, eps), max(size2.y, eps)],
rounding1 = default(rounding1, rounding),
rounding2 = default(rounding2, rounding),
chamfer1 = default(chamfer1, chamfer),
chamfer2 = default(chamfer2, chamfer),
anchor = get_anchor(anchor, center, BOT, BOT),
vnf = (rounding1==0 && rounding2==0 && chamfer1==0 && chamfer2==0)? (
let(
corners = [[1,1],[1,-1],[-1,-1],[-1,1]] * 0.5,
points = [
for (p=corners) point3d(vmul(s2,p), +h/2) + shiftby,
for (p=corners) point3d(vmul(s1,p), -h/2)
],
faces=[
[0,1,2], [0,2,3], [0,4,5], [0,5,1],
[1,5,6], [1,6,2], [2,6,7], [2,7,3],
[3,7,4], [3,4,0], [4,7,6], [4,6,5],
]
) [points, faces]
) : (
let(
path1 = rect(size1, rounding=rounding1, chamfer=chamfer1, anchor=CTR),
path2 = rect(size2, rounding=rounding2, chamfer=chamfer2, anchor=CTR),
points = [
each path3d(path1, -h/2),
each path3d(move(shiftby, p=path2), +h/2),
],
faces = hull(points)
) [points, faces]
)
) reorient(anchor,spin,orient, size=[s1.x,s1.y,h], size2=s2, shift=shift, p=vnf);
// Module: right_triangle()
//
// Usage:
// right_triangle(size, [center]);
//
// Description:
// Creates a 3D right triangular prism with the hypotenuse in the X+Y+ quadrant.
//
// Arguments:
// size = [width, thickness, height]
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `ALLNEG`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
//
// Example: Centered
// right_triangle([60, 40, 10], center=true);
// Example: *Non*-Centered
// right_triangle([60, 40, 10]);
// Example: Standard Connectors
// right_triangle([60, 40, 15]) show_anchors();
module right_triangle(size=[1, 1, 1], center, anchor, spin=0, orient=UP)
{
size = scalar_vec3(size);
anchor = get_anchor(anchor, center, ALLNEG, ALLNEG);
attachable(anchor,spin,orient, size=size) {
linear_extrude(height=size.z, convexity=2, center=true) {
polygon([[-size.x/2,-size.y/2], [-size.x/2,size.y/2], [size.x/2,-size.y/2]]);
}
children();
}
}
// Section: Cylindroids
// Module: cyl()
//
// Description:
// Creates cylinders in various anchors and orientations,
// with optional rounding and chamfers. You can use `r` and `l`
// interchangably, and all variants allow specifying size
// by either `r`|`d`, or `r1`|`d1` and `r2`|`d2`.
// Note that that chamfers and rounding cannot cross the
// midpoint of the cylinder's length.
//
// Usage: Normal Cylinders
// cyl(l|h, r|d, [circum], [realign], [center]);
// cyl(l|h, r1|d1, r2/d2, [circum], [realign], [center]);
//
// Usage: Chamferred Cylinders
// cyl(l|h, r|d, chamfer, [chamfang], [from_end], [circum], [realign], [center]);
// cyl(l|h, r|d, chamfer1, [chamfang1], [from_end], [circum], [realign], [center]);
// cyl(l|h, r|d, chamfer2, [chamfang2], [from_end], [circum], [realign], [center]);
// cyl(l|h, r|d, chamfer1, chamfer2, [chamfang1], [chamfang2], [from_end], [circum], [realign], [center]);
//
// Usage: Rounded End Cylinders
// cyl(l|h, r|d, rounding, [circum], [realign], [center]);
// cyl(l|h, r|d, rounding1, [circum], [realign], [center]);
// cyl(l|h, r|d, rounding2, [circum], [realign], [center]);
// cyl(l|h, r|d, rounding1, rounding2, [circum], [realign], [center]);
//
// Arguments:
// l / h = Length of cylinder along oriented axis. (Default: 1.0)
// r = Radius of cylinder.
// r1 = Radius of the negative (X-, Y-, Z-) end of cylinder.
// r2 = Radius of the positive (X+, Y+, Z+) end of cylinder.
// d = Diameter of cylinder.
// d1 = Diameter of the negative (X-, Y-, Z-) end of cylinder.
// d2 = Diameter of the positive (X+, Y+, Z+) end of cylinder.
// circum = If true, cylinder should circumscribe the circle of the given size. Otherwise inscribes. Default: `false`
// chamfer = The size of the chamfers on the ends of the cylinder. Default: none.
// chamfer1 = The size of the chamfer on the axis-negative end of the cylinder. Default: none.
// chamfer2 = The size of the chamfer on the axis-positive end of the cylinder. Default: none.
// chamfang = The angle in degrees of the chamfers on the ends of the cylinder.
// chamfang1 = The angle in degrees of the chamfer on the axis-negative end of the cylinder.
// chamfang2 = The angle in degrees of the chamfer on the axis-positive end of the cylinder.
// from_end = If true, chamfer is measured from the end of the cylinder, instead of inset from the edge. Default: `false`.
// rounding = The radius of the rounding on the ends of the cylinder. Default: none.
// rounding1 = The radius of the rounding on the axis-negative end of the cylinder.
// rounding2 = The radius of the rounding on the axis-positive end of the cylinder.
// realign = If true, rotate the cylinder by half the angle of one face.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
// center = If given, overrides `anchor`. A true value sets `anchor=CENTER`, false sets `anchor=DOWN`.
//
// Example: By Radius
// xdistribute(30) {
// cyl(l=40, r=10);
// cyl(l=40, r1=10, r2=5);
// }
//
// Example: By Diameter
// xdistribute(30) {
// cyl(l=40, d=25);
// cyl(l=40, d1=25, d2=10);
// }
//
// Example: Chamferring
// xdistribute(60) {
// // Shown Left to right.
// cyl(l=40, d=40, chamfer=7); // Default chamfang=45
// cyl(l=40, d=40, chamfer=7, chamfang=30, from_end=false);
// cyl(l=40, d=40, chamfer=7, chamfang=30, from_end=true);
// }
//
// Example: Rounding
// cyl(l=40, d=40, rounding=10);
//
// Example: Heterogenous Chamfers and Rounding
// ydistribute(80) {
// // Shown Front to Back.
// cyl(l=40, d=40, rounding1=15, orient=UP);
// cyl(l=40, d=40, chamfer2=5, orient=UP);
// cyl(l=40, d=40, chamfer1=12, rounding2=10, orient=UP);
// }
//
// Example: Putting it all together
// cyl(l=40, d1=25, d2=15, chamfer1=10, chamfang1=30, from_end=true, rounding2=5);
//
// Example: External Chamfers
// cyl(l=50, r=30, chamfer=-5, chamfang=30, $fa=1, $fs=1);
//
// Example: External Roundings
// cyl(l=50, r=30, rounding1=-5, rounding2=5, $fa=1, $fs=1);
//
// Example: Standard Connectors
// xdistribute(40) {
// cyl(l=30, d=25) show_anchors();
// cyl(l=30, d1=25, d2=10) show_anchors();
// }
//
module cyl(
l=undef, h=undef,
r=undef, r1=undef, r2=undef,
d=undef, d1=undef, d2=undef,
chamfer=undef, chamfer1=undef, chamfer2=undef,
chamfang=undef, chamfang1=undef, chamfang2=undef,
rounding=undef, rounding1=undef, rounding2=undef,
circum=false, realign=false, from_end=false,
center, anchor, spin=0, orient=UP
) {
r1 = get_radius(r1=r1, r=r, d1=d1, d=d, dflt=1);
r2 = get_radius(r1=r2, r=r, d1=d2, d=d, dflt=1);
l = first_defined([l, h, 1]);
sides = segs(max(r1,r2));
sc = circum? 1/cos(180/sides) : 1;
phi = atan2(l, r2-r1);
anchor = get_anchor(anchor,center,BOT,CENTER);
attachable(anchor,spin,orient, r1=r1, r2=r2, l=l) {
zrot(realign? 180/sides : 0) {
if (!any_defined([chamfer, chamfer1, chamfer2, rounding, rounding1, rounding2])) {
cylinder(h=l, r1=r1*sc, r2=r2*sc, center=true, $fn=sides);
} else {
vang = atan2(l, r1-r2)/2;
chang1 = 90-first_defined([chamfang1, chamfang, vang]);
chang2 = 90-first_defined([chamfang2, chamfang, 90-vang]);
cham1 = first_defined([chamfer1, chamfer]) * (from_end? 1 : tan(chang1));
cham2 = first_defined([chamfer2, chamfer]) * (from_end? 1 : tan(chang2));
fil1 = first_defined([rounding1, rounding]);
fil2 = first_defined([rounding2, rounding]);
if (chamfer != undef) {
assert(chamfer <= r1, "chamfer is larger than the r1 radius of the cylinder.");
assert(chamfer <= r2, "chamfer is larger than the r2 radius of the cylinder.");
}
if (cham1 != undef) {
assert(cham1 <= r1, "chamfer1 is larger than the r1 radius of the cylinder.");
}
if (cham2 != undef) {
assert(cham2 <= r2, "chamfer2 is larger than the r2 radius of the cylinder.");
}
if (rounding != undef) {
assert(rounding <= r1, "rounding is larger than the r1 radius of the cylinder.");
assert(rounding <= r2, "rounding is larger than the r2 radius of the cylinder.");
}
if (fil1 != undef) {
assert(fil1 <= r1, "rounding1 is larger than the r1 radius of the cylinder.");
}
if (fil2 != undef) {
assert(fil2 <= r2, "rounding2 is larger than the r1 radius of the cylinder.");
}
dy1 = abs(first_defined([cham1, fil1, 0]));
dy2 = abs(first_defined([cham2, fil2, 0]));
assert(dy1+dy2 <= l, "Sum of fillets and chamfer sizes must be less than the length of the cylinder.");
path = concat(
[[0,l/2]],
!is_undef(cham2)? (
let(
p1 = [r2-cham2/tan(chang2),l/2],
p2 = lerp([r2,l/2],[r1,-l/2],abs(cham2)/l)
) [p1,p2]
) : !is_undef(fil2)? (
let(
cn = find_circle_2tangents([r2-fil2,l/2], [r2,l/2], [r1,-l/2], r=abs(fil2)),
ang = fil2<0? phi : phi-180,
steps = ceil(abs(ang)/360*segs(abs(fil2))),
step = ang/steps,
pts = [for (i=[0:1:steps]) let(a=90+i*step) cn[0]+abs(fil2)*[cos(a),sin(a)]]
) pts
) : [[r2,l/2]],
!is_undef(cham1)? (
let(
p1 = lerp([r1,-l/2],[r2,l/2],abs(cham1)/l),
p2 = [r1-cham1/tan(chang1),-l/2]
) [p1,p2]
) : !is_undef(fil1)? (
let(
cn = find_circle_2tangents([r1-fil1,-l/2], [r1,-l/2], [r2,l/2], r=abs(fil1)),
ang = fil1<0? 180-phi : -phi,
steps = ceil(abs(ang)/360*segs(abs(fil1))),
step = ang/steps,
pts = [for (i=[0:1:steps]) let(a=(fil1<0?180:0)+(phi-90)+i*step) cn[0]+abs(fil1)*[cos(a),sin(a)]]
) pts
) : [[r1,-l/2]],
[[0,-l/2]]
);
rotate_extrude(convexity=2) {
polygon(path);
}
}
}
children();
}
}
// Module: xcyl()
//
// Description:
// Creates a cylinder oriented along the X axis.
//
// Usage:
// xcyl(l|h, r|d, [anchor]);
// xcyl(l|h, r1|d1, r2|d2, [anchor]);
//
// Arguments:
// l / h = Length of cylinder along oriented axis. (Default: `1.0`)
// r = Radius of cylinder.
// r1 = Optional radius of left (X-) end of cylinder.
// r2 = Optional radius of right (X+) end of cylinder.
// d = Optional diameter of cylinder. (use instead of `r`)
// d1 = Optional diameter of left (X-) end of cylinder.
// d2 = Optional diameter of right (X+) end of cylinder.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
//
// Example: By Radius
// ydistribute(50) {
// xcyl(l=35, r=10);
// xcyl(l=35, r1=15, r2=5);
// }
//
// Example: By Diameter
// ydistribute(50) {
// xcyl(l=35, d=20);
// xcyl(l=35, d1=30, d2=10);
// }
module xcyl(l=undef, r=undef, d=undef, r1=undef, r2=undef, d1=undef, d2=undef, h=undef, anchor=CENTER)
{
anchor = rot(from=RIGHT, to=UP, p=anchor);
cyl(l=l, h=h, r=r, r1=r1, r2=r2, d=d, d1=d1, d2=d2, orient=RIGHT, anchor=anchor) children();
}
// Module: ycyl()
//
// Description:
// Creates a cylinder oriented along the Y axis.
//
// Usage:
// ycyl(l|h, r|d, [anchor]);
// ycyl(l|h, r1|d1, r2|d2, [anchor]);
//
// Arguments:
// l / h = Length of cylinder along oriented axis. (Default: `1.0`)
// r = Radius of cylinder.
// r1 = Radius of front (Y-) end of cone.
// r2 = Radius of back (Y+) end of one.
// d = Diameter of cylinder.
// d1 = Diameter of front (Y-) end of one.
// d2 = Diameter of back (Y+) end of one.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
//
// Example: By Radius
// xdistribute(50) {
// ycyl(l=35, r=10);
// ycyl(l=35, r1=15, r2=5);
// }
//
// Example: By Diameter
// xdistribute(50) {
// ycyl(l=35, d=20);
// ycyl(l=35, d1=30, d2=10);
// }
module ycyl(l=undef, r=undef, d=undef, r1=undef, r2=undef, d1=undef, d2=undef, h=undef, anchor=CENTER)
{
anchor = rot(from=BACK, to=UP, p=anchor);
cyl(l=l, h=h, r=r, r1=r1, r2=r2, d=d, d1=d1, d2=d2, orient=BACK, anchor=anchor) children();
}
// Module: zcyl()
//
// Description:
// Creates a cylinder oriented along the Z axis.
//
// Usage:
// zcyl(l|h, r|d, [anchor]);
// zcyl(l|h, r1|d1, r2|d2, [anchor]);
//
// Arguments:
// l / h = Length of cylinder along oriented axis. (Default: 1.0)
// r = Radius of cylinder.
// r1 = Radius of front (Y-) end of cone.
// r2 = Radius of back (Y+) end of one.
// d = Diameter of cylinder.
// d1 = Diameter of front (Y-) end of one.
// d2 = Diameter of back (Y+) end of one.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
//
// Example: By Radius
// xdistribute(50) {
// zcyl(l=35, r=10);
// zcyl(l=35, r1=15, r2=5);
// }
//
// Example: By Diameter
// xdistribute(50) {
// zcyl(l=35, d=20);
// zcyl(l=35, d1=30, d2=10);
// }
module zcyl(l=undef, r=undef, d=undef, r1=undef, r2=undef, d1=undef, d2=undef, h=undef, anchor=CENTER)
{
cyl(l=l, h=h, r=r, r1=r1, r2=r2, d=d, d1=d1, d2=d2, orient=UP, anchor=anchor) children();
}
// Module: tube()
//
// Description:
// Makes a hollow tube with the given outer size and wall thickness.
//
// Usage:
// tube(h|l, ir|id, wall, [realign]);
// tube(h|l, or|od, wall, [realign]);
// tube(h|l, ir|id, or|od, [realign]);
// tube(h|l, ir1|id1, ir2|id2, wall, [realign]);
// tube(h|l, or1|od1, or2|od2, wall, [realign]);
// tube(h|l, ir1|id1, ir2|id2, or1|od1, or2|od2, [realign]);
//
// Arguments:
// h|l = height of tube. (Default: 1)
// or = Outer radius of tube.
// or1 = Outer radius of bottom of tube. (Default: value of r)
// or2 = Outer radius of top of tube. (Default: value of r)
// od = Outer diameter of tube.
// od1 = Outer diameter of bottom of tube.
// od2 = Outer diameter of top of tube.
// wall = horizontal thickness of tube wall. (Default 0.5)
// ir = Inner radius of tube.
// ir1 = Inner radius of bottom of tube.
// ir2 = Inner radius of top of tube.
// id = Inner diameter of tube.
// id1 = Inner diameter of bottom of tube.
// id2 = Inner diameter of top of tube.
// realign = If true, rotate the tube by half the angle of one face.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
//
// Example: These all Produce the Same Tube
// tube(h=30, or=40, wall=5);
// tube(h=30, ir=35, wall=5);
// tube(h=30, or=40, ir=35);
// tube(h=30, od=80, id=70);
// Example: These all Produce the Same Conical Tube
// tube(h=30, or1=40, or2=25, wall=5);
// tube(h=30, ir1=35, or2=20, wall=5);
// tube(h=30, or1=40, or2=25, ir1=35, ir2=20);
// Example: Circular Wedge
// tube(h=30, or1=40, or2=30, ir1=20, ir2=30);
// Example: Standard Connectors
// tube(h=30, or=40, wall=5) show_anchors();
module tube(
h, wall=undef,
r=undef, r1=undef, r2=undef,
d=undef, d1=undef, d2=undef,
or=undef, or1=undef, or2=undef,
od=undef, od1=undef, od2=undef,
ir=undef, id=undef, ir1=undef,
ir2=undef, id1=undef, id2=undef,
anchor, spin=0, orient=UP,
center, realign=false, l
) {
h = first_defined([h,l,1]);
r1 = first_defined([or1, od1/2, r1, d1/2, or, od/2, r, d/2, ir1+wall, id1/2+wall, ir+wall, id/2+wall]);
r2 = first_defined([or2, od2/2, r2, d2/2, or, od/2, r, d/2, ir2+wall, id2/2+wall, ir+wall, id/2+wall]);
ir1 = first_defined([ir1, id1/2, ir, id/2, r1-wall, d1/2-wall, r-wall, d/2-wall]);
ir2 = first_defined([ir2, id2/2, ir, id/2, r2-wall, d2/2-wall, r-wall, d/2-wall]);
assert(ir1 <= r1, "Inner radius is larger than outer radius.");
assert(ir2 <= r2, "Inner radius is larger than outer radius.");
sides = segs(max(r1,r2));
anchor = get_anchor(anchor, center, BOT, BOT);
attachable(anchor,spin,orient, r1=r1, r2=r2, l=h) {
zrot(realign? 180/sides : 0) {
difference() {
cyl(h=h, r1=r1, r2=r2, $fn=sides) children();
cyl(h=h+0.05, r1=ir1, r2=ir2);
}
}
children();
}
}
// Module: rect_tube()
// Usage:
// rect_tube(size, wall, h, [center]);
// rect_tube(isize, wall, h, [center]);
// rect_tube(size, isize, h, [center]);
// rect_tube(size1, size2, wall, h, [center]);
// rect_tube(isize1, isize2, wall, h, [center]);
// rect_tube(size1, size2, isize1, isize2, h, [center]);
// Description:
// Creates a rectangular or prismoid tube with optional roundovers and/or chamfers.
// You can only round or chamfer the vertical(ish) edges. For those edges, you can
// specify rounding and/or chamferring per-edge, and for top and bottom, inside and
// outside separately.
// Note: if using chamfers or rounding, you **must** also include the hull.scad file:
// ```
// include <BOSL2/hull.scad>
// ```
// Arguments:
// size = The outer [X,Y] size of the rectangular tube.
// isize = The inner [X,Y] size of the rectangular tube.
// h|l = The height or length of the rectangular tube. Default: 1
// wall = The thickness of the rectangular tube wall.
// size1 = The [X,Y] side of the outside of the bottom of the rectangular tube.
// size2 = The [X,Y] side of the outside of the top of the rectangular tube.
// isize1 = The [X,Y] side of the inside of the bottom of the rectangular tube.
// isize2 = The [X,Y] side of the inside of the top of the rectangular tube.
// rounding = The roundover radius for the outside edges of the rectangular tube.
// rounding1 = The roundover radius for the outside bottom corner of the rectangular tube.
// rounding2 = The roundover radius for the outside top corner of the rectangular tube.
// chamfer = The chamfer size for the outside edges of the rectangular tube.
// chamfer1 = The chamfer size for the outside bottom corner of the rectangular tube.
// chamfer2 = The chamfer size for the outside top corner of the rectangular tube.
// irounding = The roundover radius for the inside edges of the rectangular tube. Default: Same as `rounding`
// irounding1 = The roundover radius for the inside bottom corner of the rectangular tube.
// irounding2 = The roundover radius for the inside top corner of the rectangular tube.
// ichamfer = The chamfer size for the inside edges of the rectangular tube. Default: Same as `chamfer`
// ichamfer1 = The chamfer size for the inside bottom corner of the rectangular tube.
// ichamfer2 = The chamfer size for the inside top corner of the rectangular tube.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `BOTTOM`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
// Examples:
// rect_tube(size=50, wall=5, h=30);
// rect_tube(size=[100,60], wall=5, h=30);
// rect_tube(isize=[60,80], wall=5, h=30);
// rect_tube(size=[100,60], isize=[90,50], h=30);
// rect_tube(size1=[100,60], size2=[70,40], wall=5, h=30);
// rect_tube(size1=[100,60], size2=[70,40], isize1=[40,20], isize2=[65,35], h=15);
// Example: Outer Rounding Only
// include <BOSL2/hull.scad>
// rect_tube(size=100, wall=5, rounding=10, irounding=0, h=30);
// Example: Outer Chamfer Only
// include <BOSL2/hull.scad>
// rect_tube(size=100, wall=5, chamfer=5, ichamfer=0, h=30);
// Example: Outer Rounding, Inner Chamfer
// include <BOSL2/hull.scad>
// rect_tube(size=100, wall=5, rounding=10, ichamfer=8, h=30);
// Example: Inner Rounding, Outer Chamfer
// include <BOSL2/hull.scad>
// rect_tube(size=100, wall=5, chamfer=10, irounding=8, h=30);
// Example: Gradiant Rounding
// include <BOSL2/hull.scad>
// rect_tube(size1=100, size2=80, wall=5, rounding1=10, rounding2=0, irounding1=8, irounding2=0, h=30);
// Example: Per Corner Rounding
// include <BOSL2/hull.scad>
// rect_tube(size=100, wall=10, rounding=[0,5,10,15], irounding=0, h=30);
// Example: Per Corner Chamfer
// include <BOSL2/hull.scad>
// rect_tube(size=100, wall=10, chamfer=[0,5,10,15], ichamfer=0, h=30);
// Example: Mixing Chamfer and Rounding
// include <BOSL2/hull.scad>
// rect_tube(size=100, wall=10, chamfer=[0,5,0,10], ichamfer=0, rounding=[5,0,10,0], irounding=0, h=30);
// Example: Really Mixing It Up
// include <BOSL2/hull.scad>
// rect_tube(
// size1=[100,80], size2=[80,60],
// isize1=[50,30], isize2=[70,50], h=20,
// chamfer1=[0,5,0,10], ichamfer1=[0,3,0,8],
// chamfer2=[5,0,10,0], ichamfer2=[3,0,8,0],
// rounding1=[5,0,10,0], irounding1=[3,0,8,0],
// rounding2=[0,5,0,10], irounding2=[0,3,0,8]
// );
module rect_tube(
size, isize,
h, shift=[0,0], wall,
size1, size2,
isize1, isize2,
rounding=0, rounding1, rounding2,
irounding=0, irounding1, irounding2,
chamfer=0, chamfer1, chamfer2,
ichamfer=0, ichamfer1, ichamfer2,
anchor, spin=0, orient=UP,
center, l
) {
h = first_defined([h,l,1]);
assert(is_num(h), "l or h argument required.");
assert(is_vector(shift,2));
s1 = is_num(size1)? [size1, size1] :
is_vector(size1,2)? size1 :
is_num(size)? [size, size] :
is_vector(size,2)? size :
undef;
s2 = is_num(size2)? [size2, size2] :
is_vector(size2,2)? size2 :
is_num(size)? [size, size] :
is_vector(size,2)? size :
undef;
is1 = is_num(isize1)? [isize1, isize1] :
is_vector(isize1,2)? isize1 :
is_num(isize)? [isize, isize] :
is_vector(isize,2)? isize :
undef;
is2 = is_num(isize2)? [isize2, isize2] :
is_vector(isize2,2)? isize2 :
is_num(isize)? [isize, isize] :
is_vector(isize,2)? isize :
undef;
size1 = is_def(s1)? s1 :
(is_def(wall) && is_def(is1))? (is1+2*[wall,wall]) :
undef;
size2 = is_def(s2)? s2 :
(is_def(wall) && is_def(is2))? (is2+2*[wall,wall]) :
undef;
isize1 = is_def(is1)? is1 :
(is_def(wall) && is_def(s1))? (s1-2*[wall,wall]) :
undef;
isize2 = is_def(is2)? is2 :
(is_def(wall) && is_def(s2))? (s2-2*[wall,wall]) :
undef;
assert(wall==undef || is_num(wall));
assert(size1!=undef, "Bad size/size1 argument.");
assert(size2!=undef, "Bad size/size2 argument.");
assert(isize1!=undef, "Bad isize/isize1 argument.");
assert(isize2!=undef, "Bad isize/isize2 argument.");
assert(isize1.x < size1.x, "Inner size is larger than outer size.");
assert(isize1.y < size1.y, "Inner size is larger than outer size.");
assert(isize2.x < size2.x, "Inner size is larger than outer size.");
assert(isize2.y < size2.y, "Inner size is larger than outer size.");
anchor = get_anchor(anchor, center, BOT, BOT);
attachable(anchor,spin,orient, size=[each size1, h], size2=size2, shift=shift) {
diff("_H_o_L_e_")
prismoid(
size1, size2, h=h, shift=shift,
rounding=rounding, rounding1=rounding1, rounding2=rounding2,
chamfer=chamfer, chamfer1=chamfer1, chamfer2=chamfer2,
anchor=CTR
) {
children();
tags("_H_o_L_e_") prismoid(
isize1, isize2, h=h+0.05, shift=shift,
rounding=irounding, rounding1=irounding1, rounding2=irounding2,
chamfer=ichamfer, chamfer1=ichamfer1, chamfer2=ichamfer2,
anchor=CTR
);
}
children();
}
}
// Module: torus()
//
// Descriptiom:
// Creates a torus shape.
//
// Usage:
// torus(r|d, r2|d2);
// torus(or|od, ir|id);
//
// Arguments:
// r = major radius of torus ring. (use with of 'r2', or 'd2')
// r2 = minor radius of torus ring. (use with of 'r', or 'd')
// d = major diameter of torus ring. (use with of 'r2', or 'd2')
// d2 = minor diameter of torus ring. (use with of 'r', or 'd')
// or = outer radius of the torus. (use with 'ir', or 'id')
// ir = inside radius of the torus. (use with 'or', or 'od')
// od = outer diameter of the torus. (use with 'ir' or 'id')
// id = inside diameter of the torus. (use with 'or' or 'od')
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
//
// Example:
// // These all produce the same torus.
// torus(r=22.5, r2=7.5);
// torus(d=45, d2=15);
// torus(or=30, ir=15);
// torus(od=60, id=30);
// Example: Standard Connectors
// torus(od=60, id=30) show_anchors();
module torus(
r=undef, d=undef,
r2=undef, d2=undef,
or=undef, od=undef,
ir=undef, id=undef,
center, anchor, spin=0, orient=UP
) {
orr = get_radius(r=or, d=od, dflt=1.0);
irr = get_radius(r=ir, d=id, dflt=0.5);
majrad = get_radius(r=r, d=d, dflt=(orr+irr)/2);
minrad = get_radius(r=r2, d=d2, dflt=(orr-irr)/2);
anchor = get_anchor(anchor, center, BOT, CENTER);
attachable(anchor,spin,orient, r=(majrad+minrad), l=minrad*2) {
rotate_extrude(convexity=4) {
right(majrad) circle(r=minrad);
}
children();
}
}
// Section: Spheroid
// Function&Module: spheroid()
// Usage: As Module
// spheroid(r|d, [circum], [style])
// Usage: As Function
// vnf = spheroid(r|d, [circum], [style])
// Description:
// Creates a spheroid object, with support for anchoring and attachments.
// This is a drop-in replacement for the built-in `sphere()` module.
// When called as a function, returns a [VNF](vnf.scad) for a spheroid.
// Arguments:
// r = Radius of the spheroid.
// d = Diameter of the spheroid.
// circum = If true, the spheroid is made large enough to circumscribe the sphere of the ideal side. Otherwise inscribes. Default: false (inscribes)
// style = The style of the spheroid's construction. One of "orig", "aligned", "stagger", "octa", or "icosa". Default: "aligned"
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
// Example: By Radius
// spheroid(r=50);
// Example: By Diameter
// spheroid(d=100);
// Example: style="orig"
// spheroid(d=100, style="orig", $fn=10);
// Example: style="aligned"
// spheroid(d=100, style="aligned", $fn=10);
// Example: style="stagger"
// spheroid(d=100, style="stagger", $fn=10);
// Example: style="octa", octahedral based tesselation.
// spheroid(d=100, style="octa", $fn=10);
// // In "octa" style, $fn is quantized
// // to the nearest multiple of 4.
// Example: style="icosa", icosahedral based tesselation.
// spheroid(d=100, style="icosa", $fn=10);
// // In "icosa" style, $fn is quantized
// // to the nearest multiple of 5.
// Example: Anchoring
// spheroid(d=100, anchor=FRONT);
// Example: Spin
// spheroid(d=100, anchor=FRONT, spin=45);
// Example: Orientation
// spheroid(d=100, anchor=FRONT, spin=45, orient=FWD);
// Example: Standard Connectors
// spheroid(d=50) show_anchors();
// Example: Called as Function
// vnf = spheroid(d=100, style="icosa");
// vnf_polyhedron(vnf);
module spheroid(r, d, circum=false, style="aligned", anchor=CENTER, spin=0, orient=UP)
{
r = get_radius(r=r, d=d, dflt=1);
sides = segs(r);
attachable(anchor,spin,orient, r=r) {
if (style=="orig") {
rotate_extrude(convexity=2,$fn=sides) {
difference() {
oval(r=r, circum=circum, $fn=sides);
left(r) square(2*r,center=true);
}
}
} else if (style=="aligned") {
rotate_extrude(convexity=2,$fn=sides) {
difference() {
zrot(180/sides) oval(r=r, circum=circum, $fn=sides);
left(r) square(2*r,center=true);
}
}
} else {
vnf = spheroid(r=r, circum=circum, style=style);
vnf_polyhedron(vnf, convexity=2);
}
children();
}
}
function spheroid(r, d, circum=false, style="aligned", anchor=CENTER, spin=0, orient=UP) =
let(
r = get_radius(r=r, d=d, dflt=1),
hsides = segs(r),
vsides = max(2,ceil(hsides/2)),
octa_steps = round(max(4,hsides)/4),
icosa_steps = round(max(5,hsides)/5),
rr = circum? (r / cos(90/vsides) / cos(180/hsides)) : r,
stagger = style=="stagger",
verts = style=="orig"? [
for (i=[0:1:vsides-1]) let(phi = (i+0.5)*180/(vsides))
for (j=[0:1:hsides-1]) let(theta = j*360/hsides)
spherical_to_xyz(rr, theta, phi),
] : style=="aligned" || style=="stagger"? [
spherical_to_xyz(rr, 0, 0),
for (i=[1:1:vsides-1]) let(phi = i*180/vsides)
for (j=[0:1:hsides-1]) let(theta = (j+((stagger && i%2!=0)?0.5:0))*360/hsides)
spherical_to_xyz(rr, theta, phi),
spherical_to_xyz(rr, 0, 180)
] : style=="octa"? let(
meridians = [
1,
for (i = [1:1:octa_steps]) i*4,
for (i = [octa_steps-1:-1:1]) i*4,
1,
]
) [
for (i=idx(meridians), j=[0:1:meridians[i]-1])
spherical_to_xyz(rr, j*360/meridians[i], i*180/(len(meridians)-1))
] : style=="icosa"? [
for (tb=[0,1], j=[0,2], i = [0:1:4]) let(
theta0 = i*360/5,
theta1 = (i-0.5)*360/5,
theta2 = (i+0.5)*360/5,
phi0 = 180/3 * j,
phi1 = 180/3,
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","aligned","stagger","octa","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=="aligned" || 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=="octa"? let(
meridians = [
0, 1,
for (i = [1:1:octa_steps]) i*4,
for (i = [octa_steps-1:-1:1]) i*4,
1,
],
offs = cumsum(meridians),
pc = select(offs,-1)-1,
os = octa_steps * 2
) [
for (i=[0:1:3]) [0, 1+(i+1)%4, 1+i],
for (i=[0:1:3]) [pc-0, pc-(1+(i+1)%4), pc-(1+i)],
for (i=[1:1:octa_steps-1]) let(
m = meridians[i+2]/4
)
for (j=[0:1:3], k=[0:1:m-1]) let(
m1 = meridians[i+1],
m2 = meridians[i+2],
p1 = offs[i+0] + (j*m1/4 + k+0) % m1,
p2 = offs[i+0] + (j*m1/4 + k+1) % m1,
p3 = offs[i+1] + (j*m2/4 + k+0) % m2,
p4 = offs[i+1] + (j*m2/4 + k+1) % m2,
p5 = offs[os-i+0] + (j*m1/4 + k+0) % m1,
p6 = offs[os-i+0] + (j*m1/4 + k+1) % m1,
p7 = offs[os-i-1] + (j*m2/4 + k+0) % m2,
p8 = offs[os-i-1] + (j*m2/4 + k+1) % m2
) each [
[p1, p4, p3],
if (k<m-1) [p1, p2, p4],
[p5, p7, p8],
if (k<m-1) [p5, p8, p6],
],
] : 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];
// Section: 3D Printing Shapes
// Module: teardrop()
//
// Description:
// Makes a teardrop shape in the XZ plane. Useful for 3D printable holes.
//
// Usage:
// teardrop(r|d, l|h, [ang], [cap_h])
//
// Arguments:
// r = Radius of circular part of teardrop. (Default: 1)
// d = Diameter of circular portion of bottom. (Use instead of r)
// l = Thickness of teardrop. (Default: 1)
// ang = Angle of hat walls from the Z axis. (Default: 45 degrees)
// cap_h = If given, height above center where the shape will be truncated.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
//
// Example: Typical Shape
// teardrop(r=30, h=10, ang=30);
// Example: Crop Cap
// teardrop(r=30, h=10, ang=30, cap_h=40);
// Example: Close Crop
// teardrop(r=30, h=10, ang=30, cap_h=20);
module teardrop(r=undef, d=undef, l=undef, h=undef, ang=45, cap_h=undef, anchor=CENTER, spin=0, orient=UP)
{
r = get_radius(r=r, d=d, dflt=1);
l = first_defined([l, h, 1]);
size = [r*2,l,r*2];
attachable(anchor,spin,orient, size=size) {
rot(from=UP,to=FWD) {
linear_extrude(height=l, center=true, slices=2) {
teardrop2d(r=r, ang=ang, cap_h=cap_h);
}
}
children();
}
}
// Module: onion()
//
// Description:
// Creates a sphere with a conical hat, to make a 3D teardrop.
//
// Usage:
// onion(r|d, [maxang], [cap_h]);
//
// Arguments:
// r = radius of spherical portion of the bottom. (Default: 1)
// d = diameter of spherical portion of bottom.
// cap_h = height above sphere center to truncate teardrop shape.
// maxang = angle of cone on top from vertical.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
//
// Example: Typical Shape
// onion(r=30, maxang=30);
// Example: Crop Cap
// onion(r=30, maxang=30, cap_h=40);
// Example: Close Crop
// onion(r=30, maxang=30, cap_h=20);
// Example: Standard Connectors
// onion(r=30, maxang=30, cap_h=40) show_anchors();
module onion(cap_h=undef, r=undef, d=undef, maxang=45, h=undef, anchor=CENTER, spin=0, orient=UP)
{
r = get_radius(r=r, d=d, dflt=1);
h = first_defined([cap_h, h]);
maxd = 3*r/tan(maxang);
anchors = [
["cap", [0,0,h], UP, 0]
];
attachable(anchor,spin,orient, r=r, anchors=anchors) {
rotate_extrude(convexity=2) {
difference() {
teardrop2d(r=r, ang=maxang, cap_h=h);
left(r) square(size=[2*r,maxd], center=true);
}
}
children();
}
}
// Section: Miscellaneous
// Module: nil()
//
// Description:
// Useful when you MUST pass a child to a module, but you want it to be nothing.
module nil() union(){}
// Module: noop()
//
// Description:
// Passes through the children passed to it, with no action at all.
// Useful while debugging when you want to replace a command.
//
// Arguments:
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
module noop(spin=0, orient=UP) attachable(CENTER,spin,orient, d=0.01) {nil(); children();}
// Module: pie_slice()
//
// Description:
// Creates a pie slice shape.
//
// Usage:
// pie_slice(ang, l|h, r|d, [center]);
// pie_slice(ang, l|h, r1|d1, r2|d2, [center]);
//
// Arguments:
// ang = pie slice angle in degrees.
// h = height of pie slice.
// r = radius of pie slice.
// r1 = bottom radius of pie slice.
// r2 = top radius of pie slice.
// d = diameter of pie slice.
// d1 = bottom diameter of pie slice.
// d2 = top diameter of pie slice.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
// center = If given, overrides `anchor`. A true value sets `anchor=CENTER`, false sets `anchor=UP`.
//
// Example: Cylindrical Pie Slice
// pie_slice(ang=45, l=20, r=30);
// Example: Conical Pie Slice
// pie_slice(ang=60, l=20, d1=50, d2=70);
module pie_slice(
ang=30, l=undef,
r=undef, r1=undef, r2=undef,
d=undef, d1=undef, d2=undef,
h=undef, center,
anchor, spin=0, orient=UP
) {
l = first_defined([l, h, 1]);
r1 = get_radius(r1=r1, r=r, d1=d1, d=d, dflt=10);
r2 = get_radius(r1=r2, r=r, d1=d2, d=d, dflt=10);
maxd = max(r1,r2)+0.1;
anchor = get_anchor(anchor, center, BOT, BOT);
attachable(anchor,spin,orient, r1=r1, r2=r2, l=l) {
difference() {
cyl(r1=r1, r2=r2, h=l);
if (ang<180) rotate(ang) back(maxd/2) cube([2*maxd, maxd, l+0.1], center=true);
difference() {
fwd(maxd/2) cube([2*maxd, maxd, l+0.2], center=true);
if (ang>180) rotate(ang-180) back(maxd/2) cube([2*maxd, maxd, l+0.1], center=true);
}
}
children();
}
}
// Module: interior_fillet()
//
// Description:
// Creates a shape that can be unioned into a concave joint between two faces, to fillet them.
// Center this part along the concave edge to be chamfered and union it in.
//
// Usage:
// interior_fillet(l, r, [ang], [overlap]);
//
// Arguments:
// l = length of edge to fillet.
// r = radius of fillet.
// ang = angle between faces to fillet.
// overlap = overlap size for unioning with faces.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `FRONT+LEFT`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
//
// Example:
// union() {
// translate([0,2,-4]) cube([20, 4, 24], anchor=BOTTOM);
// translate([0,-10,-4]) cube([20, 20, 4], anchor=BOTTOM);
// color("green") interior_fillet(l=20, r=10, spin=180, orient=RIGHT);
// }
//
// Example:
// interior_fillet(l=40, r=10, spin=-90);
//
// Example: Using with Attachments
// cube(50,center=true) {
// position(FRONT+LEFT)
// interior_fillet(l=50, r=10, spin=-90);
// position(BOT+FRONT)
// interior_fillet(l=50, r=10, spin=180, orient=RIGHT);
// }
module interior_fillet(l=1.0, r=1.0, ang=90, overlap=0.01, anchor=FRONT+LEFT, spin=0, orient=UP) {
dy = r/tan(ang/2);
steps = ceil(segs(r)*ang/360);
step = ang/steps;
attachable(anchor,spin,orient, size=[r,r,l]) {
linear_extrude(height=l, convexity=4, center=true) {
path = concat(
[[0,0]],
[for (i=[0:1:steps]) let(a=270-i*step) r*[cos(a),sin(a)]+[dy,r]]
);
translate(-[r,r]/2) polygon(path);
}
children();
}
}
// Module: slot()
//
// Description:
// Makes a linear slot with rounded ends, appropriate for bolts to slide along.
//
// Usage:
// slot(h, l, r|d, [center]);
// slot(h, p1, p2, r|d, [center]);
// slot(h, l, r1|d1, r2|d2, [center]);
// slot(h, p1, p2, r1|d1, r2|d2, [center]);
//
// Arguments:
// p1 = center of starting circle of slot.
// p2 = center of ending circle of slot.
// l = length of slot along the X axis.
// h = height of slot shape. (default: 10)
// r = radius of slot circle. (default: 5)
// r1 = bottom radius of slot cone.
// r2 = top radius of slot cone.
// d = diameter of slot circle.
// d1 = bottom diameter of slot cone.
// d2 = top diameter of slot cone.
//
// Example: Between Two Points
// slot([0,0,0], [50,50,0], r1=5, r2=10, h=5);
// Example: By Length
// slot(l=50, r1=5, r2=10, h=5);
module slot(
p1=undef, p2=undef, h=10, l=undef,
r=undef, r1=undef, r2=undef,
d=undef, d1=undef, d2=undef
) {
r1 = get_radius(r1=r1, r=r, d1=d1, d=d, dflt=5);
r2 = get_radius(r1=r2, r=r, d1=d2, d=d, dflt=5);
sides = quantup(segs(max(r1, r2)), 4);
// TODO: implement orient and anchors.
hull() line_of(p1=p1, p2=p2, l=l, n=2) cyl(l=h, r1=r1, r2=r2, center=true, $fn=sides);
}
// Module: arced_slot()
//
// Description:
// Makes an arced slot, appropriate for bolts to slide along.
//
// Usage:
// arced_slot(h, r|d, sr|sd, [sa], [ea], [center], [$fn2]);
// arced_slot(h, r|d, sr1|sd1, sr2|sd2, [sa], [ea], [center], [$fn2]);
//
// Arguments:
// cp = Centerpoint of slot arc. Default: `[0, 0, 0]`
// h = Height of slot arc shape. Default: `1`
// r = Radius of slot arc. Default: `0.5`
// d = Diameter of slot arc. Default: `1`
// sr = Radius of slot channel. Default: `0.5`
// sd = Diameter of slot channel. Default: `0.5`
// sr1 = Bottom radius of slot channel cone. Use instead of `sr`.
// sr2 = Top radius of slot channel cone. Use instead of `sr`.
// sd1 = Bottom diameter of slot channel cone. Use instead of `sd`.
// sd2 = Top diameter of slot channel cone. Use instead of `sd`.
// sa = Starting angle. Default: `0`
// ea = Ending angle. Default: `90`
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
// $fn2 = The `$fn` value to use on the small round endcaps. The major arcs are still based on `$fn`. Default: `$fn`
//
// Example(Med): Typical Arced Slot
// arced_slot(d=60, h=5, sd=10, sa=60, ea=280);
// Example(Med): Conical Arced Slot
// arced_slot(r=60, h=5, sd1=10, sd2=15, sa=45, ea=180);
module arced_slot(
r=undef, d=undef, h=1.0,
sr=undef, sr1=undef, sr2=undef,
sd=undef, sd1=undef, sd2=undef,
sa=0, ea=90, cp=[0,0,0],
anchor=TOP, spin=0, orient=UP,
$fn2 = undef
) {
r = get_radius(r=r, d=d, dflt=2);
sr1 = get_radius(r1=sr1, r=sr, d1=sd1, d=sd, dflt=2);
sr2 = get_radius(r1=sr2, r=sr, d1=sd2, d=sd, dflt=2);
fn_minor = first_defined([$fn2, $fn]);
da = ea - sa;
attachable(anchor,spin,orient, r1=r+sr1, r2=r+sr2, l=h) {
translate(cp) {
zrot(sa) {
difference() {
pie_slice(ang=da, l=h, r1=r+sr1, r2=r+sr2, orient=UP, anchor=CENTER);
cyl(h=h+0.1, r1=r-sr1, r2=r-sr2);
}
right(r) cyl(h=h, r1=sr1, r2=sr2, $fn=fn_minor);
zrot(da) right(r) cyl(h=h, r1=sr1, r2=sr2, $fn=fn_minor);
}
}
children();
}
}
// Module: heightfield()
// Usage:
// heightfield(heightfield, [size], [bottom]);
// Description:
// Given a regular rectangular 2D grid of scalar values, generates a 3D surface where the height at
// any given point is the scalar value for that position.
// Arguments:
// heightfield = The 2D rectangular array of heights.
// size = The [X,Y] size of the surface to create. If given as a scalar, use it for both X and Y sizes.
// bottom = The Z coordinate for the bottom of the heightfield object to create. Must be less than the minimum heightfield value. Default: 0
// convexity = Max number of times a line could intersect a wall of the surface being formed.
// Example:
// heightfield(size=[100,100], bottom=-20, heightfield=[
// for (x=[-180:4:180]) [for(y=[-180:4:180]) 10*cos(3*norm([x,y]))]
// ]);
// Example:
// intersection() {
// heightfield(size=[100,100], heightfield=[
// for (x=[-180:5:180]) [for(y=[-180:5:180]) 10+5*cos(3*x)*sin(3*y)]
// ]);
// cylinder(h=50,d=100);
// }
module heightfield(heightfield, size=[100,100], bottom=0, convexity=10)
{
size = is_num(size)? [size,size] : point2d(size);
dim = array_dim(heightfield);
assert(dim.x!=undef);
assert(dim.y!=undef);
assert(bottom<min(flatten(heightfield)), "bottom must be less than the minimum heightfield value.");
spacing = vdiv(size,dim-[1,1]);
vertices = concat(
[
for (i=[0:1:dim.x-1], j=[0:1:dim.y-1]) let(
pos = [i*spacing.x-size.x/2, j*spacing.y-size.y/2, heightfield[i][j]]
) pos
], [
for (i=[0:1:dim.x-1]) let(
pos = [i*spacing.x-size.x/2, -size.y/2, bottom]
) pos
], [
for (i=[0:1:dim.x-1]) let(
pos = [i*spacing.x-size.x/2, size.y/2, bottom]
) pos
], [
for (j=[0:1:dim.y-1]) let(
pos = [-size.x/2, j*spacing.y-size.y/2, bottom]
) pos
], [
for (j=[0:1:dim.y-1]) let(
pos = [size.x/2, j*spacing.y-size.y/2, bottom]
) pos
]
);
faces = concat(
[
for (i=[0:1:dim.x-2], j=[0:1:dim.y-2]) let(
idx1 = (i+0)*dim.y + j+0,
idx2 = (i+0)*dim.y + j+1,
idx3 = (i+1)*dim.y + j+0,
idx4 = (i+1)*dim.y + j+1
) each [[idx1, idx2, idx4], [idx1, idx4, idx3]]
], [
for (i=[0:1:dim.x-2]) let(
idx1 = dim.x*dim.y,
idx2 = dim.x*dim.y+dim.x+i,
idx3 = idx2+1
) [idx1,idx3,idx2]
], [
for (i=[0:1:dim.y-2]) let(
idx1 = dim.x*dim.y,
idx2 = dim.x*dim.y+dim.x*2+dim.y+i,
idx3 = idx2+1
) [idx1,idx2,idx3]
], [
for (i=[0:1:dim.x-2]) let(
idx1 = (i+0)*dim.y+0,
idx2 = (i+1)*dim.y+0,
idx3 = dim.x*dim.y+i,
idx4 = idx3+1
) each [[idx1, idx2, idx4], [idx1, idx4, idx3]]
], [
for (i=[0:1:dim.x-2]) let(
idx1 = (i+0)*dim.y+dim.y-1,
idx2 = (i+1)*dim.y+dim.y-1,
idx3 = dim.x*dim.y+dim.x+i,
idx4 = idx3+1
) each [[idx1, idx4, idx2], [idx1, idx3, idx4]]
], [
for (j=[0:1:dim.y-2]) let(
idx1 = j,
idx2 = j+1,
idx3 = dim.x*dim.y+dim.x*2+j,
idx4 = idx3+1
) each [[idx1, idx4, idx2], [idx1, idx3, idx4]]
], [
for (j=[0:1:dim.y-2]) let(
idx1 = (dim.x-1)*dim.y+j,
idx2 = idx1+1,
idx3 = dim.x*dim.y+dim.x*2+dim.y+j,
idx4 = idx3+1
) each [[idx1, idx2, idx4], [idx1, idx4, idx3]]
]
);
polyhedron(points=vertices, faces=faces, convexity=convexity);
}
// vim: expandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap
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