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Small stellated 120-cell - Wikipedia, the free encyclopedia

Small stellated 120-cell

From Wikipedia, the free encyclopedia

Small stellated 120-cell

Orthogonal projection
Type Schläfli-Hess polychoron
Cells 120 {5/2,5}
Faces 720 {5/2}
Edges 1200
Vertices 120
Vertex figure {5,3}
Schläfli symbol {5/2,5,3}
Coxeter-Dynkin diagram Image:CD_ring.pngImage:CD_5-2.pngImage:CD_dot.pngImage:CD_5.pngImage:CD_dot.pngImage:CD_3.pngImage:CD_dot.png
Symmetry group H4, [3,3,5]
Dual Icosahedral 120-cell
Properties --
Orthogonal projection as a wireframe
Orthogonal projection as a wireframe

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

It has the same edge arrangement as the Great grand 120-cell.

[edit] References

  • 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.

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