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shapes3d.scad
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//////////////////////////////////////////////////////////////////////
// LibFile: shapes3d.scad
// Some standard modules for making 3d shapes with attachment support, and function forms
// that produce a VNF. Also included are shortcuts cylinders in each orientation and extended versions of
// the standard modules that provide roundovers and chamfers. The sphereoid() module provides
// several different ways to make a sphere, and the text modules let you write text on a path
// so you can place it on a curved object.
// Includes:
// include <BOSL2/std.scad>
//////////////////////////////////////////////////////////////////////
use <builtins.scad>
// Section: Cuboids, Prismoids and Pyramids
// Function&Module: cube()
// Topics: Shapes (3D), Attachable, VNF Generators
// Usage: As Module
// cube(size, [center], ...);
// Usage: With Attachments
// cube(size, [center], ...) { attachments }
// Usage: As Function
// vnf = cube(size, [center], ...);
// See Also: cuboid(), prismoid()
// Description:
// Creates a 3D cubic object with support for anchoring and attachments.
// This can be used as a drop-in replacement for the built-in `cube()` module.
// When called as a function, returns a [VNF](vnf.scad) for a cube.
// Arguments:
// size = The size of the cube.
// center = If given, overrides `anchor`. A true value sets `anchor=CENTER`, false sets `anchor=ALLNEG`.
// ---
// 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: Simple cube.
// cube(40);
// Example: Rectangular cube.
// cube([20,40,50]);
// Example: Anchoring.
// cube([20,40,50], anchor=BOTTOM+FRONT);
// Example: Spin.
// cube([20,40,50], anchor=BOTTOM+FRONT, spin=30);
// Example: Orientation.
// cube([20,40,50], anchor=BOTTOM+FRONT, spin=30, orient=FWD);
// Example: Standard Connectors.
// cube(40, center=true) show_anchors();
// Example: Called as Function
// vnf = cube([20,40,50]);
// vnf_polyhedron(vnf);
module cube(size=1, center, anchor, spin=0, orient=UP)
{
anchor = get_anchor(anchor, center, ALLNEG, ALLNEG);
size = scalar_vec3(size);
attachable(anchor,spin,orient, size=size) {
_cube(size, center=true);
children();
}
}
function cube(size=1, center, anchor, spin=0, orient=UP) =
let(
siz = scalar_vec3(size),
anchor = get_anchor(anchor, center, ALLNEG, ALLNEG),
unscaled = [
[-1,-1,-1],[1,-1,-1],[1,1,-1],[-1,1,-1],
[-1,-1, 1],[1,-1, 1],[1,1, 1],[-1,1, 1],
]/2,
verts = is_num(size)? unscaled * size :
is_vector(size,3)? [for (p=unscaled) v_mul(p,size)] :
assert(is_num(size) || is_vector(size,3)),
faces = [
[0,1,2], [0,2,3], //BOTTOM
[0,4,5], [0,5,1], //FRONT
[1,5,6], [1,6,2], //RIGHT
[2,6,7], [2,7,3], //BACK
[3,7,4], [3,4,0], //LEFT
[6,4,7], [6,5,4] //TOP
]
) [reorient(anchor,spin,orient, size=siz, p=verts), faces];
// Module: cuboid()
//
// Usage: Standard Cubes
// cuboid(size, [anchor=], [spin=], [orient=]);
// cuboid(size, p1=, ...);
// cuboid(p1=, p2=, ...);
// Usage: Chamfered Cubes
// cuboid(size, [chamfer=], [edges=], [except_edges=], [trimcorners=], ...);
// Usage: Rounded Cubes
// cuboid(size, [rounding=], [edges=], [except_edges=], [trimcorners=], ...);
// Usage: Attaching children
// cuboid(size, [anchor=], ...) [attachments];
//
// 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, p2,
chamfer,
rounding,
edges=EDGES_ALL,
except_edges=[],
trimcorners=true,
anchor=CENTER,
spin=0,
orient=UP
) {
module corner_shape(corner) {
e = _corner_edges(edges, corner);
cnt = sum(e);
r = first_defined([chamfer, rounding, 0]);
c = [min(r,size.x/2), min(r,size.y/2), min(r,size.z/2)];
c2 = v_mul(corner,c/2);
$fn = is_finite(chamfer)? 4 : segs(r);
translate(v_mul(corner, size/2-c)) {
if (cnt == 0 || approx(r,0)) {
translate(c2) cube(c, center=true);
} else if (cnt == 1) {
if (e.x) right(c2.x) xcyl(l=c.x, r=r);
if (e.y) back (c2.y) ycyl(l=c.y, r=r);
if (e.z) up (c2.z) zcyl(l=c.z, r=r);
} else if (cnt == 2) {
if (!e.x) {
intersection() {
ycyl(l=c.y*2, r=r);
zcyl(l=c.z*2, r=r);
}
} else if (!e.y) {
intersection() {
xcyl(l=c.x*2, r=r);
zcyl(l=c.z*2, r=r);
}
} else {
intersection() {
xcyl(l=c.x*2, r=r);
ycyl(l=c.y*2, r=r);
}
}
} else {
if (trimcorners) {
spheroid(r=r, style="octa");
} else {
intersection() {
xcyl(l=c.x*2, r=r);
ycyl(l=c.y*2, r=r);
zcyl(l=c.z*2, r=r);
}
}
}
}
}
size = scalar_vec3(size);
edges = edges(edges, except=except_edges);
assert(is_vector(size,3));
assert(all_positive(size));
assert(is_undef(chamfer) || is_finite(chamfer));
assert(is_undef(rounding) || is_finite(rounding));
assert(is_undef(p1) || is_vector(p1));
assert(is_undef(p2) || is_vector(p2));
assert(is_bool(trimcorners));
if (!is_undef(p1)) {
if (!is_undef(p2)) {
translate(pointlist_bounds([p1,p2])[0]) {
cuboid(size=v_abs(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 (is_finite(chamfer)) {
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 (is_finite(rounding)) {
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 (is_finite(chamfer) && !approx(chamfer,0)) {
if (edges == EDGES_ALL && trimcorners) {
if (chamfer<0) {
cube(size, center=true) {
attach(TOP,overlap=0) prismoid([size.x,size.y], [size.x-2*chamfer,size.y-2*chamfer], h=-chamfer, anchor=TOP);
attach(BOT,overlap=0) 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) {
assert(edges == EDGES_ALL || edges[2] == [0,0,0,0], "Cannot use negative chamfer with Z aligned edges.");
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(v_mul(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]) {
ce = _corner_edges(edges, [xa,ya,za]);
if (ce.x + ce.y > 1) {
translate(v_mul([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(v_mul(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 {
hull() {
corner_shape([-1,-1,-1]);
corner_shape([ 1,-1,-1]);
corner_shape([-1, 1,-1]);
corner_shape([ 1, 1,-1]);
corner_shape([-1,-1, 1]);
corner_shape([ 1,-1, 1]);
corner_shape([-1, 1, 1]);
corner_shape([ 1, 1, 1]);
}
}
} else if (is_finite(rounding) && !approx(rounding,0)) {
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) {
assert(edges == EDGES_ALL || edges[2] == [0,0,0,0], "Cannot use negative rounding with Z aligned edges.");
ard = abs(rounding);
cube(size, center=true);
// External-Rounding mask edges
difference() {
union() {
for (i = [0:3], axis=[0:1]) {
if (edges[axis][i]>0) {
vec = EDGE_OFFSETS[axis][i];
translate(v_mul(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]) {
ce = _corner_edges(edges, [xa,ya,za]);
if (ce.x + ce.y > 1) {
translate(v_mul([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(v_mul(vec/2, size+[2*ard,2*ard,-2*ard])) {
rotate(majrots[axis]) {
cyl(l=size[axis]+2.1*ard, r=ard);
}
}
}
}
}
} else {
hull() {
corner_shape([-1,-1,-1]);
corner_shape([ 1,-1,-1]);
corner_shape([-1, 1,-1]);
corner_shape([ 1, 1,-1]);
corner_shape([-1,-1, 1]);
corner_shape([ 1,-1, 1]);
corner_shape([-1, 1, 1]);
corner_shape([ 1, 1, 1]);
}
}
} else {
cube(size=size, center=true);
}
children();
}
}
}
function cuboid(
size=[1,1,1],
p1, p2,
chamfer,
rounding,
edges=EDGES_ALL,
except_edges=[],
trimcorners=true,
anchor=CENTER,
spin=0,
orient=UP
) = no_function("cuboid");
// Function&Module: prismoid()
//
// Usage: Typical Prismoids
// prismoid(size1, size2, h|l, [shift], ...);
// Usage: Attaching Children
// prismoid(size1, size2, h|l, [shift], ...) [attachments];
// Usage: Chamfered Prismoids
// prismoid(size1, size2, h|l, [chamfer=], ...);
// prismoid(size1, size2, h|l, [chamfer1=], [chamfer2=], ...);
// Usage: Rounded Prismoids
// prismoid(size1, size2, h|l, [rounding=], ...);
// prismoid(size1, size2, h|l, [rounding1=], [rounding2=], ...);
// 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.
//
// Arguments:
// size1 = [width, length] of the bottom end of the prism.
// size2 = [width, length] of the top end of the prism.
// h|l = Height of the prism.
// shift = [X,Y] amount to shift the center of the top end with respect to the center of the bottom end.
// ---
// rounding = The roundover radius for the vertical-ish edges of the prismoid. 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 of the vertical-ish edges of the prismoid. 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 of the vertical-ish edges of the prismoid. 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 vertical-ish edges of the prismoid. 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 of the vertical-ish edges of the prismoid. 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 of the vertical-ish edges of the prismoid. 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`
//
// See Also: rounded_prism()
//
// 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,VPD=160,VPT=[0,0,10]): Shifting/Skewing
// prismoid(size1=[50,30], size2=[20,20], h=20, shift=[15,5]);
// Example: Rounding
// prismoid(100, 80, rounding=10, h=30);
// Example: Outer Chamfer Only
// prismoid(100, 80, chamfer=5, h=30);
// Example: Gradiant Rounding
// prismoid(100, 80, rounding1=10, rounding2=0, h=30);
// Example: Per Corner Rounding
// prismoid(100, 80, rounding=[0,5,10,15], h=30);
// Example: Per Corner Chamfer
// prismoid(100, 80, chamfer=[0,5,10,15], h=30);
// Example: Mixing Chamfer and Rounding
// prismoid(
// 100, 80, h=30,
// chamfer=[0,5,0,10],
// rounding=[5,0,10,0]
// );
// Example: Really Mixing It Up
// 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,VPD=160,VPT=[0,0,10]): 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;
assert(all_nonnegative(size1));
assert(all_nonnegative(size2));
assert(size1.x + size2.x > 0);
assert(size1.y + size2.y > 0);
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,
rounding1=rounding1, rounding2=rounding2,
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) && rounding>=0) ||
(is_vector(rounding,4) && all_nonnegative(rounding)),
"Bad rounding argument."
)
assert(
is_undef(rounding1) || (is_num(rounding1) && rounding1>=0) ||
(is_vector(rounding1,4) && all_nonnegative(rounding1)),
"Bad rounding1 argument."
)
assert(
is_undef(rounding2) || (is_num(rounding2) && rounding2>=0) ||
(is_vector(rounding2,4) && all_nonnegative(rounding2)),
"Bad rounding2 argument."
)
assert(
(is_num(chamfer) && chamfer>=0) ||
(is_vector(chamfer,4) && all_nonnegative(chamfer)),
"Bad chamfer argument."
)
assert(
is_undef(chamfer1) || (is_num(chamfer1) && chamfer1>=0) ||
(is_vector(chamfer1,4) && all_nonnegative(chamfer1)),
"Bad chamfer1 argument."
)
assert(
is_undef(chamfer2) || (is_num(chamfer2) && chamfer2>=0) ||
(is_vector(chamfer2,4) && all_nonnegative(chamfer2)),
"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(v_mul(s2,p), +h/2) + shiftby,
for (p=corners) point3d(v_mul(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);
// Function&Module: octahedron()
// Usage: As Module
// octahedron(size, ...);
// Usage: With Attachments
// octahedron(size, ...) { attachments }
// Usage: As Function
// vnf = octahedron(size, ...);
// Description:
// When called as a module, creates an octahedron with axis-aligned points.
// When called as a function, creates a [[VNF|vnf.scad]] of an octahedron with axis-aligned points.
// Arguments:
// size = Width of the octahedron, tip to tip.
// ---
// 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:
// octahedron(size=40);
// Example: Anchors
// octahedron(size=40) show_anchors();
module octahedron(size=1, anchor=CENTER, spin=0, orient=UP) {
vnf = octahedron(size=size);
attachable(anchor,spin,orient, vnf=vnf, extent=true) {
vnf_polyhedron(vnf, convexity=2);
children();
}
}
function octahedron(size=1, anchor=CENTER, spin=0, orient=UP) =
let(
s = size / 2,
vnf = [
[ [0,0,s], [s,0,0], [0,s,0], [-s,0,0], [0,-s,0], [0,0,-s] ],
[ [0,2,1], [0,3,2], [0,4,3], [0,1,4], [5,1,2], [5,2,3], [5,3,4], [5,4,1] ]
]
) reorient(anchor,spin,orient, vnf=vnf, extent=true, p=vnf);
// Module: rect_tube()
// Usage: Typical Rectangular Tubes
// rect_tube(h, size, isize, [center], [shift]);
// rect_tube(h, size, wall=, [center=]);
// rect_tube(h, isize=, wall=, [center=]);
// Usage: Tapering Rectangular Tubes
// rect_tube(h, size1=, size2=, wall=, ...);
// rect_tube(h, isize1=, isize2=, wall=, ...);
// rect_tube(h, size1=, size2=, isize1=, isize2=, ...);
// Usage: Chamfered
// rect_tube(h, size, isize, chamfer=, ...);
// rect_tube(h, size, isize, chamfer1=, chamfer2= ...);
// rect_tube(h, size, isize, ichamfer=, ...);
// rect_tube(h, size, isize, ichamfer1=, ichamfer2= ...);
// rect_tube(h, size, isize, chamfer=, ichamfer=, ...);
// Usage: Rounded
// rect_tube(h, size, isize, rounding=, ...);
// rect_tube(h, size, isize, rounding1=, rounding2= ...);
// rect_tube(h, size, isize, irounding=, ...);
// rect_tube(h, size, isize, irounding1=, irounding2= ...);
// rect_tube(h, size, isize, rounding=, irounding=, ...);
// Usage: Attaching Children
// rect_tube(h, size, isize, ...) [attachments];
//
// 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.
// Arguments:
// h|l = The height or length of the rectangular tube. Default: 1
// size = The outer [X,Y] size of the rectangular tube.
// isize = The inner [X,Y] size of the rectangular tube.
// center = If given, overrides `anchor`. A true value sets `anchor=CENTER`, false sets `anchor=UP`.
// shift = [X,Y] amount to shift the center of the top end with respect to the center of the bottom end.
// ---
// wall = The thickness of the rectangular tube wall.
// size1 = The [X,Y] size of the outside of the bottom of the rectangular tube.
// size2 = The [X,Y] size of the outside of the top of the rectangular tube.
// isize1 = The [X,Y] size of the inside of the bottom of the rectangular tube.
// isize2 = The [X,Y] size 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);
// Example:
// rect_tube(
// size1=[100,60], size2=[70,40],
// isize1=[40,20], isize2=[65,35], h=15
// );
// Example: Outer Rounding Only
// rect_tube(size=100, wall=5, rounding=10, irounding=0, h=30);
// Example: Outer Chamfer Only
// rect_tube(size=100, wall=5, chamfer=5, ichamfer=0, h=30);
// Example: Outer Rounding, Inner Chamfer
// rect_tube(size=100, wall=5, rounding=10, ichamfer=8, h=30);
// Example: Inner Rounding, Outer Chamfer
// rect_tube(size=100, wall=5, chamfer=10, irounding=8, h=30);
// Example: Gradiant Rounding
// rect_tube(
// size1=100, size2=80, wall=5, h=30,
// rounding1=10, rounding2=0,
// irounding1=8, irounding2=0
// );
// Example: Per Corner Rounding
// rect_tube(
// size=100, wall=10, h=30,
// rounding=[0,5,10,15], irounding=0
// );
// Example: Per Corner Chamfer
// rect_tube(
// size=100, wall=10, h=30,
// chamfer=[0,5,10,15], ichamfer=0
// );
// Example: Mixing Chamfer and Rounding
// rect_tube(
// size=100, wall=10, h=30,
// chamfer=[0,5,0,10], ichamfer=0,
// rounding=[5,0,10,0], irounding=0
// );
// Example: Really Mixing It Up
// 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(
h, size, isize, center, 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,
l
) {
h = one_defined([h,l],"h,l");
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();
}
}
function rect_tube(
h, size, isize, center, 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,
l
) = no_function("rect_tube");
// Function&Module: wedge()
//
// Usage: As Module
// wedge(size, [center], ...);
// Usage: With Attachments
// wedge(size, [center], ...) { attachments }
// Usage: As Function
// vnf = wedge(size, [center], ...);
//
// Description:
// When called as a modulem creates a 3D triangular wedge with the hypotenuse in the X+Z+ quadrant.
// When called as a function creates a VNF for a 3D triangular wedge with the hypotenuse in the X+Z+ quadrant.
//
// Arguments:
// size = [width, thickness, height]
// center = If given, overrides `anchor`. A true value sets `anchor=CENTER`, false sets `anchor=UP`.
// ---
// 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
// wedge([20, 40, 15], center=true);
// Example: *Non*-Centered
// wedge([20, 40, 15]);
// Example: Standard Connectors
// wedge([20, 40, 15]) show_anchors();
module wedge(size=[1, 1, 1], center, anchor, spin=0, orient=UP)
{
size = scalar_vec3(size);
anchor = get_anchor(anchor, center, ALLNEG, ALLNEG);
vnf = wedge(size, center=true);
attachable(anchor,spin,orient, size=size, size2=[size.x,0], shift=[0,-size.y/2]) {
if (size.z > 0) {
vnf_polyhedron(vnf);
}
children();
}
}
function wedge(size=[1,1,1], center, anchor, spin=0, orient=UP) =
let(
size = scalar_vec3(size),
anchor = get_anchor(anchor, center, ALLNEG, ALLNEG),
pts = [
[ 1,1,-1], [ 1,-1,-1], [ 1,-1,1],
[-1,1,-1], [-1,-1,-1], [-1,-1,1],
],
faces = [
[0,1,2], [3,5,4], [0,3,1], [1,3,4],
[1,4,2], [2,4,5], [2,5,3], [0,2,3],
],
vnf = [scale(size/2,p=pts), faces]
)
reorient(anchor,spin,orient, size=size, size2=[size.x,0], shift=[0,-size.y/2], p=vnf);
// Section: Cylinders
// Function&Module: cylinder()
// Topics: Shapes (3D), Attachable, VNF Generators
// Usage: As Module
// cylinder(h, r=/d=, [center=], ...);
// cylinder(h, r1/d1=, r2/d2=, [center=], ...);
// Usage: With Attachments
// cylinder(h, r=/d=, [center=]) {attachments}
// Usage: As Function
// vnf = cylinder(h, r=/d=, [center=], ...);
// vnf = cylinder(h, r1/d1=, r2/d2=, [center=], ...);
// See Also: cyl()
// Description:
// Creates a 3D cylinder or conic object with support for anchoring and attachments.
// This can be used as a drop-in replacement for the built-in `cylinder()` module.
// When called as a function, returns a [VNF](vnf.scad) for a cylinder.
// Arguments:
// l / h = The height of the cylinder.
// r1 = The bottom radius of the cylinder. (Before orientation.)
// r2 = The top radius of the cylinder. (Before orientation.)
// center = If given, overrides `anchor`. A true value sets `anchor=CENTER`, false sets `anchor=BOTTOM`.
// ---
// d1 = The bottom diameter of the cylinder. (Before orientation.)
// d2 = The top diameter of the cylinder. (Before orientation.)
// r = The radius of the cylinder.
// d = The diameter of the cylinder.
// 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
// xdistribute(30) {
// cylinder(h=40, r=10);
// cylinder(h=40, r1=10, r2=5);
// }
// Example: By Diameter
// xdistribute(30) {
// cylinder(h=40, d=25);
// cylinder(h=40, d1=25, d2=10);
// }
// Example(Med): Anchoring
// cylinder(h=40, r1=10, r2=5, anchor=BOTTOM+FRONT);
// Example(Med): Spin
// cylinder(h=40, r1=10, r2=5, anchor=BOTTOM+FRONT, spin=45);
// Example(Med): Orient
// cylinder(h=40, r1=10, r2=5, anchor=BOTTOM+FRONT, spin=45, orient=FWD);
// Example(Big): Standard Connectors
// xdistribute(40) {
// cylinder(h=30, d=25) show_anchors();
// cylinder(h=30, d1=25, d2=10) show_anchors();
// }
module cylinder(h, r1, r2, center, l, r, d, d1, d2, anchor, spin=0, orient=UP)
{
anchor = get_anchor(anchor, center, BOTTOM, BOTTOM);
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([h, l, 1]);
attachable(anchor,spin,orient, r1=r1, r2=r2, l=l) {
_cylinder(h=l, r1=r1, r2=r2, center=true);
children();
}
}
function cylinder(h, r1, r2, center, l, r, d, d1, d2, anchor, spin=0, orient=UP) =
let(
anchor = get_anchor(anchor, center, BOTTOM, BOTTOM),
r1 = get_radius(r1=r1, r=r, d1=d1, d=d, dflt=1),