Great icosahedral 120-cell

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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 polytopes[edit]

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
Grand 600-cell-ortho-10gon.png Grand 600-cell-ortho-6gon.png Grand 600-cell-ortho-4gon.png

See also[edit]


External links[edit]