Great grand 120-cell

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Great grand 120-cell
Ortho solid 011-uniform polychoron 53p-t0.png
Orthogonal projection
Type Schläfli-Hess polytope
Cells 120 {5,5/2}
Faces 720 {5}
Edges 1200
Vertices 120
Vertex figure {5/2,3}
Schläfli symbol {5,5/2,3}
Coxeter-Dynkin diagram CDel node 1.pngCDel 5.pngCDel node.pngCDel 5.pngCDel rat.pngCDel d2.pngCDel node.pngCDel 3.pngCDel node.png
Symmetry group H4, [3,3,5]
Dual Great icosahedral 120-cell
Properties Regular

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

Related polytopes

It has the same edge arrangement as the small stellated 120-cell.

Orthographic projections by Coxeter planes
H3 A2 / B3 / D4 A3 / B2
Small stellated 120-cell ortho-10gon.png Small stellated 120-cell ortho-6gon.png Small stellated 120-cell ortho-4gon.png

See also

  • List of regular polytopes
  • Convex regular 4-polytope
  • Kepler-Poinsot polyhedron – regular star polyhedron
  • Star polygon – regular star polygons

External links

References