ss cro
i r Ch
or
Quasicr yst al
s n o i t a l l e t s n o C
N s
Octahedron
Simplified to 3 Squares
Truncated Icosahedron
32 Faces: 12 Pentagons & 20 Hexagons Made from 60 Octahedra
5 in a Pentagonal Arrangement
Icosidodecahedron
32 Faces: 12 Pentagons & 20 Triangles Made from 20 Octahedra
The Pentagonal Arrangements do not share Octahedra in the Truncated Icosahedron. In the case of the Icosidodecahedron, each Octahedron is a part of 3 Pentagonal Arrangements.
An Icosidodecahedron and a Truncated Icosahedron can bond by sharing a Pentagonal Arrangement, much like how atoms bond by sharing electrons.
Quasicrystalline Growth
1 Truncated Icosahedron
12 Icosidodecahedra
20 Truncated Icosahedra
240 Icosidodecahedra
Quasicrystalline Growth in Section
1 Truncated Icosahedron
12 Icosidodecahedra
20 Truncated Icosahedra
240 Icosidodecahedra