Great icosahedral 120-cell

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Great icosahedral 120-cell
Ortho solid 014-uniform polychoron 3p5-t0.png
Orthogonal projection
Type Schläfli-Hess polychoron
Cells 120 {3,5/2}
Faces 1200 {3}
Edges 720
Vertices 120
Vertex figure {5/2,5}
Schläfli symbol {3,5/2,5}
Coxeter-Dynkin diagram CDel node 1.pngCDel 3.pngCDel node.pngCDel 5.pngCDel rat.pngCDel d2.pngCDel node.pngCDel 5.pngCDel node.png
Symmetry group H4, [3,3,5]
Dual Great grand 120-cell
Properties Regular
Orthogonal projection of wireframe

In geometry, the great icosahedral 120-cell or great faceted 600-cell is a star polychoron with Schläfli symbol {3,5/2,5}. It is one of 10 regular Schläfli-Hess polychora.

Related polytopes[edit]

It has the same edge arrangement as the great stellated 120-cell, and grand stellated 120-cell, and face arrangement of the grand 600-cell.

See also[edit]


  • Edmund Hess, (1883) Einleitung in die Lehre von der Kugelteilung mit besonderer Berücksichtigung ihrer Anwendung auf die Theorie der Gleichflächigen und der gleicheckigen Polyeder [1].
  • H. S. M. Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. ISBN 0-486-61480-8.
  • John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 (Chapter 26, Regular Star-polytopes, pp. 404–408)

External links[edit]