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Added partitions.scad
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Revar Desmera
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partitions.scad
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partitions.scad
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//////////////////////////////////////////////////////////////////////
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// LibFile: partitions.scad
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// Modules to help partition large objects into smaller parts that can be reassembled.
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// To use, add the following lines to the beginning of your file:
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// ```
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// include <BOSL2/std.scad>
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// include <BOSL2/partitions.scad>
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// ```
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//////////////////////////////////////////////////////////////////////
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// Section: Partitioning
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_partition_cutpaths = [
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["flat", [[0,0],[1,0]]],
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["sawtooth", [[0,-0.5], [0.5,0.5], [1,-0.5]]],
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["sinewave", [for (a=[0:5:360]) [a/360,sin(a)/2]]],
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["comb", let(dx=0.5*sin(2)) [[0,0],[0+dx,0.5],[0.5-dx,0.5],[0.5+dx,-0.5],[1-dx,-0.5],[1,0]]],
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["finger", let(dx=0.5*sin(20)) [[0,0],[0+dx,0.5],[0.5-dx,0.5],[0.5+dx,-0.5],[1-dx,-0.5],[1,0]]],
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["dovetail", [[0,-0.5], [0.3,-0.5], [0.2,0.5], [0.8,0.5], [0.7,-0.5], [1,-0.5]]],
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["hammerhead", [[0,-0.5], [0.35,-0.5], [0.35,0], [0.15,0], [0.15,0.5], [0.85,0.5], [0.85,0], [0.65,0], [0.65,-0.5],[1,-0.5]]],
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["jigsaw", concat(
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arc(N=6, r=5/16, cp=[0,-3/16], start=270, angle=125),
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arc(N=12, r=5/16, cp=[1/2,3/16], start=215, angle=-250),
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arc(N=6, r=5/16, cp=[1,-3/16], start=145, angle=125)
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)
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],
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];
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function _partition_cutpath(l, h, cutsize, cutpath, gap) =
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let(
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cutsize = is_vector(cutsize)? cutsize : [cutsize*2, cutsize],
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cutpath = is_path(cutpath)? cutpath : (
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assert(is_string(cutpath), "cutpath must be a 2D path or a string.")
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let(idx = search([cutpath], _partition_cutpaths))
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idx==[[]]? assert_in_list("cutpath",cutpath,_partition_cutpaths,idx=0) :
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_partition_cutpaths[idx.x][1]
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),
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reps = ceil(l/(cutsize.x+gap)),
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cplen = (cutsize.x+gap) * reps,
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path = deduplicate(concat(
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[[-l/2, cutpath[0].y*cutsize.y]],
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[for (i=[0:1:reps-1], pt=cutpath) vmul(pt,cutsize)+[i*(cutsize.x+gap)+gap/2-cplen/2,0]],
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[[ l/2, cutpath[len(cutpath)-1].y*cutsize.y]]
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))
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) path;
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// Module: partition_mask()
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// Usage:
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// partition_mask(l, w, h, [cutsize], [cutpath], [gap], [inverse], [spin], [orient]);
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// Description:
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// Creates a mask that you can use to difference or intersect with an object to remove half of it, leaving behind a side designed to allow assembly of the sub-parts.
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// Arguments:
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// l = The length of the cut axis.
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// w = The width of the part to be masked, back from the cut plane.
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// h = The height of the part to be masked.
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// cutsize = The width of the cut pattern to be used.
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// cutpath = The cutpath to use. Standard named paths are "flat", "sawtooth", "sinewave", "comb", "finger", "dovetail", "hammerhead", and "jigsaw". Alternatively, you can give a cutpath as a 2D path, where X is between 0 and 1, and Y is between -0.5 and 0.5.
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// gap = Empty gaps between cutpath iterations. Default: 0
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// inverse = If true, create a cutpath that is meant to mate to a non-inverted cutpath.
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// spin = Rotate this many degrees around the Z axis. See [spin](attachments.scad#spin). Default: `0`
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// orient = Vector to rotate top towards. See [orient](attachments.scad#orient). Default: `UP`
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// Examples:
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// partition_mask(w=50, gap=0, cutpath="jigsaw");
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// partition_mask(w=50, gap=30, cutpath="jigsaw");
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// partition_mask(w=50, gap=30, cutpath="jigsaw", inverse=true);
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// partition_mask(w=50, gap=30, cutsize=15, cutpath="jigsaw");
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// partition_mask(w=50, cutsize=[20,20], gap=30, cutpath="jigsaw");
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// Examples(2D):
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// partition_mask(w=20, spin=90, cutpath="sawtooth");
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// partition_mask(w=20, spin=90, cutpath="sinewave");
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// partition_mask(w=20, spin=90, cutpath="comb");
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// partition_mask(w=20, spin=90, cutpath="finger");
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// partition_mask(w=20, spin=90, cutpath="dovetail");
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// partition_mask(w=20, spin=90, cutpath="hammerhead");
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// partition_mask(w=20, spin=90, cutpath="jigsaw");
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module partition_mask(l=100, w=100, h=100, cutsize=10, cutpath=undef, gap=0, inverse=false, spin=0, orient=UP)
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{
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cutsize = is_vector(cutsize)? cutsize : [cutsize*2, cutsize];
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path = _partition_cutpath(l, h, cutsize, cutpath, gap);
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fullpath = concat(path, [[l/2,w*(inverse?-1:1)], [-l/2,w*(inverse?-1:1)]]);
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rot(from=UP,to=orient) {
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rotate(spin) {
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linear_extrude(height=h, convexity=10) {
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offset(delta=-$slop) polygon(fullpath);
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}
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}
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}
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}
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// Module: partition_cut_mask()
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// Usage:
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// partition_cut_mask(l, w, h, [cutsize], [cutpath], [gap], [inverse], [spin], [orient]);
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// Description:
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// Creates a mask that you can use to difference with an object to cut it into two sub-parts that can be assembled.
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// Arguments:
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// l = The length of the cut axis.
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// w = The width of the part to be masked, back from the cut plane.
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// h = The height of the part to be masked.
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// cutsize = The width of the cut pattern to be used.
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// cutpath = The cutpath to use. Standard named paths are "flat", "sawtooth", "sinewave", "comb", "finger", "dovetail", "hammerhead", and "jigsaw". Alternatively, you can give a cutpath as a 2D path, where X is between 0 and 1, and Y is between -0.5 and 0.5.
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// gap = Empty gaps between cutpath iterations. Default: 0
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// spin = Rotate this many degrees around the Z axis. See [spin](attachments.scad#spin). Default: `0`
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// orient = Vector to rotate top towards. See [orient](attachments.scad#orient). Default: `UP`
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// Example:
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// partition_cut_mask(gap=0, cutpath="dovetail");
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// partition_cut_mask(gap=30, cutpath="dovetail");
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// partition_cut_mask(gap=30, cutsize=15, cutpath="dovetail");
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// partition_cut_mask(gap=30, cutsize=[20,20], cutpath="dovetail");
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// Examples(2D):
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// partition_cut_mask(spin=90, cutpath="sawtooth");
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// partition_cut_mask(spin=90, cutpath="sinewave");
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// partition_cut_mask(spin=90, cutpath="comb");
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// partition_cut_mask(spin=90, cutpath="finger");
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// partition_cut_mask(spin=90, cutpath="dovetail");
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// partition_cut_mask(spin=90, cutpath="hammerhead");
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// partition_cut_mask(spin=90, cutpath="jigsaw");
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module partition_cut_mask(l=100, h=100, cutsize=10, cutpath=undef, gap=0, spin=0, orient=UP)
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{
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cutsize = is_vector(cutsize)? cutsize : [cutsize*2, cutsize];
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path = _partition_cutpath(l, h, cutsize, cutpath, gap);
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rot(from=UP,to=orient) {
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rotate(spin) {
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linear_extrude(height=h, convexity=10) {
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stroke(path, width=$slop*2);
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}
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}
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}
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}
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// Module: partition()
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// Usage:
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// partition(size, [spread], [cutsize], [cutpath], [gap], [spin]) ...
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// Description:
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// Partitions an object into two parts, spread apart a small distance, with matched joining edges.
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// Arguments:
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// size = The [X,Y,Z] size of the object to partition.
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// spread = The distance to spread the two parts by.
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// cutsize = The width of the cut pattern to be used.
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// cutpath = The cutpath to use. Standard named paths are "flat", "sawtooth", "sinewave", "comb", "finger", "dovetail", "hammerhead", and "jigsaw". Alternatively, you can give a cutpath as a 2D path, where X is between 0 and 1, and Y is between -0.5 and 0.5.
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// gap = Empty gaps between cutpath iterations. Default: 0
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// spin = Rotate this many degrees around the Z axis. See [spin](attachments.scad#spin). Default: `0`
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// Example:
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// partition(spread=12, cutpath="dovetail") cylinder(h=50, d=80, center=false);
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// partition(spread=12, gap=30, cutpath="dovetail") cylinder(h=50, d=80, center=false);
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// partition(spread=20, gap=20, cutsize=15, cutpath="dovetail") cylinder(h=50, d=80, center=false);
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// partition(spread=25, gap=15, cutsize=[20,20], cutpath="dovetail") cylinder(h=50, d=80, center=false);
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// Examples(2D):
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// partition(cutpath="sawtooth") cylinder(h=50, d=80, center=false);
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// partition(cutpath="sinewave") cylinder(h=50, d=80, center=false);
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// partition(cutpath="comb") cylinder(h=50, d=80, center=false);
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// partition(cutpath="finger") cylinder(h=50, d=80, center=false);
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// partition(spread=12, cutpath="dovetail") cylinder(h=50, d=80, center=false);
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// partition(spread=12, cutpath="hammerhead") cylinder(h=50, d=80, center=false);
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// partition(cutpath="jigsaw") cylinder(h=50, d=80, center=false);
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module partition(size=100, spread=10, cutsize=10, cutpath=undef, gap=0, spin=0)
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{
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size = is_vector(size)? size : [size,size,size];
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cutsize = is_vector(cutsize)? cutsize : [cutsize*2, cutsize];
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rsize = vabs(rot(spin,p=size));
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vec = rot(spin,p=BACK)*spread/2;
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move(vec) {
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intersection() {
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children();
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partition_mask(l=rsize.x, w=rsize.y, h=rsize.z, cutsize=cutsize, cutpath=cutpath, gap=gap, spin=spin);
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}
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}
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move(-vec) {
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intersection() {
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children();
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partition_mask(l=rsize.x, w=rsize.y, h=rsize.z, cutsize=cutsize, cutpath=cutpath, gap=gap, inverse=true, spin=spin);
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}
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}
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}
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// vim: noexpandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap
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