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size(200);
import palette;
import three;
currentprojection=perspective(8,2,1);
triple[] M={(0,0,1),1/3*(sqrt(8),0,-1),
1/3*((sqrt(8))*Cos(120),(sqrt(8))*Sin(120),-1),
1/3*((sqrt(8))*Cos(240),(sqrt(8))*Sin(240),-1)};
int level=5;
surface s;
void recur(triple p, real u, int l) {
if(l < level)
for(triple V : M)
recur(p+u*V,u/2,l+1);
else
for(triple V : M) {
s.append(surface((p+u*(V+M[0]))--(p+u*(V+M[1]))--(p+u*(V+M[2]))--cycle));
s.append(surface((p+u*(V+M[0]))--(p+u*(V+M[2]))--(p+u*(V+M[3]))--cycle));
s.append(surface((p+u*(V+M[0]))--(p+u*(V+M[3]))--(p+u*(V+M[1]))--cycle));
s.append(surface((p+u*(V+M[3]))--(p+u*(V+M[2]))--(p+u*(V+M[1]))--cycle));
}
}
recur(O,0.5,1);
s.colors(palette(s.map(zpart),Rainbow()));
draw(s,render(merge=true));
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