Great icosahedral 120-cell

Great icosahedral 120-cell
Ortho solid 014-uniform polychoron 3p5-t0.png
Orthogonal projection
Type Schläfli-Hess polytope
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

In geometry, the great icosahedral 120-cell, great polyicosahedron or great faceted 600-cell is a regular star 4-polytope with Schläfli symbol {3,5/2,5}. It is one of 10 regular Schläfli-Hess polytopes.

Related polytopesEdit

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.

Orthographic projections by Coxeter planes
H3 A2 / B3 / D4 A3 / B2
     

With its dual, it forms the compound of great grand 120-cell and great icosahedral 120-cell.

See alsoEdit

ReferencesEdit

  • 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)
  • Klitzing, Richard. "4D uniform polytopes (polychora) x3o5/2o5o - gofix".

External linksEdit