Quasicrystal Constellations

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