Our unit dodecahedron does not lineup with out unit icosahedron:
dodecahedron:
(±1, ±1, ±1)
(0, ±1/φ, ±φ)
(±1/φ, ±φ, 0)
(±φ, 0, ±1/φ)
icosahedron:
(0, ±1, ±φ)
(±1, ±φ, 0)
(±φ, 0, ±1)
We need to scale and rotate the dodecahedron, not sure of the specifics.
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