Hemiicositetrachoron

Hemiicositetrachoron
Rank	4
Type	Regular
Notation
Bowers style acronym	Ellico
Schläfli symbol	$\{3,4,3\}_{6}$
Elements
Cells	12 octahedra
Faces	48 triangles
Edges	48
Vertices	12
Vertex figure	Cube
Petrie polygons	48 hexagons
Related polytopes
Dual	Hemiicositetrachoron
Abstract & topological properties
Flag count	576
Euler characteristic	0
Schläfli type	{3,4,3}
Surface	$\mathbb {P} ^{3}(\mathbb {R} )$
Orientable	Yes

The hemiicositetrachoron or hemi-24-cell is a abstract regular polychoron. It is the result of identifying opposite elements of the 24-cell.

External links

• Hartley, Michael. "{3,4,3}*576".
• Klitzing, Richard. Abstract polytopes

Bibliography

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