Icosidodecahedron - Cartesian Coordinates

Cartesian Coordinates

Convenient Cartesian coordinates for the vertices of an icosidodecahedron with unit edges are given by:

  • (0,0,±τ)
  • (0,±τ,0)
  • (±τ,0,0)
  • (±1/2, ±τ/2, ±(1+τ)/2)
  • (±τ/2, ±(1+τ)/2, ±1/2)
  • (±(1+τ)/2, ±1/2, ±τ/2)

where τ is the golden ratio, (1+√5)/2.

Read more about this topic:  Icosidodecahedron