Grand 120-cell

Grand 120-cell

Orthogonal projection
TypeSchläfli-Hess polytope
Cells120 {5,3}
Faces720 {5}
Edges720
Vertices120
Vertex figure{3,5/2}
Schläfli symbol {5,3,5/2}
Coxeter-Dynkin diagram
Symmetry groupH4, [3,3,5]
Dual Great stellated 120-cell
Properties Regular

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

It is one of four regular star 4-polytopes discovered by Ludwig Schläfli. It is named by John Horton Conway, extending the naming system by Arthur Cayley for the Kepler-Poinsot solids.

Related polytopes

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

Orthographic projections by Coxeter planes
H4 - F4

[30]

[20]

[12]
H3 A2 / B3 / D4 A3 / B2

[10]

[6]

[4]

See also

References

External links

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