Definitions

great grand-nieces

Great grand stellated 120-cell

Great grand stellated 120-cell

Orthogonal projection
Type Schläfli-Hess polychoron
Cells 120 {5/2,3}
Faces 720 {5/2}
Edges 1200
Vertices 600
Vertex figure {3,3}
Schläfli symbol {5/2,3,3}
Coxeter-Dynkin diagram - Symmetry group H4, [3,3,5]
Dual Grand 600-cell
Properties --

In geometry, the great grand stellated 120-cell is a star polychoron with Schläfli symbol {5/2,3,3}. It is one of 10 regular Schläfli-Hess polychora. It is unique among the 10 for having 600 vertices, and has the same vertex arrangement as the regular convex 120-cell.

It is one of four regular star polychora discovered by Ludwig Schläfli. It is named by John Horton Conway, extending the naming system by Arthur Cayley for the Kepler-Poinsot solids, and the only one containing all three modifiers in the name.

As a stellation

The great grand stellated 120-cell is the final stellation of the 120-cell.

See also

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
  • H. S. M. Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. ISBN 0-486-61480-8.

External links

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