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