Tesseractic tetracomb pentacomb

Tesseractic tetracomb pentacomb
Rank	6
Type	Regular, paracompact
Space	Hyperbolic
Notation
Coxeter diagram	x4o3o3o4o3o ()
Schläfli symbol	{4,3,3,4,3}
Elements
Peta	6NM tesseractic tetracombs
Tera	3NMK tesseracts
Cells	8NMK cubes
Faces	6NMK squares
Edges	NMK
Vertices	2NK
Vertex figure	Hexadecachoric tetracomb, edge length √2
Measures (edge length 1)
Circumradius	$0$
Related polytopes
Army	*
Regiment	*
Dual	Order-4 icositetrachoric tetracomb pentacomb
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	[4,3,3,4,3]
Convex	Yes

The tesseractic tetracomb pentacomb is a paracompact regular tiling of 5D hyperbolic space. It is paracompact because it has infinite Euclidean vertex figures, with all vertices as ideal points. 3 tesseractic tetracombs meet at each cell, and infinitely many meet at each vertex, forming a hexadecachoric tetracomb as the vertex figure.

Representations

A tesseractic tetracomb pentacomb has the folloowing Coxeter diagrams:

• x4o3o3o4o3o () (full symmetry)
• x4o3o3o4o *c3o () (demitesseractic tetracomb verf)
• x4o3o3o *b3o *b3o () (quartertesseractic tetracomb verf)

External links

• Wikipedia contributors. "Tesseractic honeycomb honeycomb".