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// Menger Sponge
// By Nathan Hellweg, Emmett Lalish and Marius Kintel May 13, 2013
// CC-BY-SA license
// Size of edge of sponge
D=100;
// Fractal depth (number of iterations)
n=3;
module menger() {
difference() {
cube(D, center=true);
for (v=[[0,0,0], [0,0,90], [0,90,0]])
rotate(v) menger_negative(side=D, maxside=D, level=n);
}
}
module menger_negative(side=1, maxside=1, level=1) {
l=side/3;
cube([maxside*1.1, l, l], center=true);
if (level > 1) {
for (i=[-1:1], j=[-1:1])
if (i || j)
translate([0, i*l, j*l])
menger_negative(side=l, maxside=maxside, level=level-1);
}
}
difference() {
rotate([45, atan(1/sqrt(2)), 0]) menger();
translate([0,0,-D]) cube(2*D, center=true);
}
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