Grand stellated 120-cell

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Grand stellated 120-cell
Ortho solid 013-uniform polychoron p5p-t0.png
Orthogonal projection
Type Schläfli-Hess polytope
Cells 120 {5/2,5}
Faces 720 {5/2}
Edges 720
Vertices 120
Vertex figure {5,5/2}
Schläfli symbol {5/2,5,5/2}
Coxeter-Dynkin diagram CDel node 1.pngCDel 5.pngCDel rat.pngCDel d2.pngCDel node.pngCDel 5.pngCDel node.pngCDel 5.pngCDel rat.pngCDel d2.pngCDel node.png
Symmetry group H4, [3,3,5]
Dual self-dual
Properties Regular

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

Related polytopes[edit]

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

Orthographic projections by Coxeter planes
H3 A2 / B3 / D4 A3 / B2
Grand 600-cell-ortho-10gon.png Grand 600-cell-ortho-6gon.png Grand 600-cell-ortho-4gon.png

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