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In principle our algorithm should create quantum fractals for each
of the regular polyhedra. The only restriction on the array of
vectors is that they are all of unit length, and their sum
is a zero vector. We added, for comparison with the Platonic
solids configurations, two additional simple yet regular figures:
double tetrahedron and icosidodecahedron. Notice that tetrahedron
is selfdual, while dodecahedron and icosahedron are dual to each
other. Double tetrahedron array is obtained by combining
with  that is with the inverted configuration.
Figure:
Quantum Double Tetrahedron.

Icosidodecahedron has particularly simple and elegant expression
for its 30 vertices: they are of the form: and its
cyclic permutations, and
and its cyclic permutations, where
is the golden ratio.
All of its edges are of length . For its 30 vertices
was needed to resolve the atrractor's fine
structure.
Figure:
Quantum Icosidodecahedron.

Next: 4. Notes
Up: 3. The Five Platonic
Previous: 5. Dodecahedron
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