Hemihexacosichoron

Hemihexacosichoron
Rank	4
Type	Regular
Notation
Bowers style acronym	Ellex
Schläfli symbol	$\{3,3,5\}_{15}$
Elements
Cells	300 tetrahedra
Faces	600 triangles
Edges	360
Vertices	60
Vertex figure	Dodecahedron
Petrie polygons	240 pentadecagons
Related polytopes
Dual	Hemihecatonicosachoron
Orientation double cover	Hexacosichoron
Abstract & topological properties
Flag count	7200
Euler characteristic	0
Schläfli type	{3,3,5}
Surface	$\mathbb {P} ^{3}(\mathbb {R} )$
Orientable	No

The hemihexacosichoron or hemi-600-cell is a abstract regular polychoron. It is the result of identifying opposite elements of the 600-cell.

External links

• Klitzing, Richard. Abstract Polytopes

Bibliography

• McMullen, Peter; Schulte, Egon (December 2002), Abstract Regular Polytopes (1st ed.), Cambridge University Press, ISBN 0-521-81496-0