Rectified 120-cell

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Rectified 120-cell

Stereographic projection
Type Uniform polychoron
Cells 720 total:
120 (3.5.3.5)
600 (3.3.3)
Faces 3120 total:
2400 {3}, 720 {5}
Edges 3600
Vertices 1200
Vertex figure Right equilateral-triangular prism
Schläfli symbol t1{5,3,3}
Symmetry group H4, [3,3,5]
Properties convex

In geometry, the rectified 120-cell is a convex uniform polychoron composed of 600 regular tetrahedra and 120 icosidodecahedra cells.

Alternative names:

  • Rectified 120-cell (Norman Johnson)
  • Rectified hecatonicosichoron
  • Rectified polydodecahedron
  • Icosidodecahedral hexacosihecatonicosachoron
  • Rahi (Jonathan Bowers: for rectified hecatonicosachoron)
  • Ambohecatonicosachoron (Neil Sloane & John Horton Conway)

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