Order-4 icositetrachoric tetracomb

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Order-4 icositetrachoric tetracomb
Rank5
TypeRegular, paracompact
SpaceHyperbolic
Notation
Bowers style acronymSicot
Coxeter diagramo4o3o4o3x ()
Schläfli symbol{3,4,3,4}
Elements
TeraMN icositetrachora
Cells12MN octahedra
Faces24MN triangles
Edges12MN
Vertices24N
Vertex figureCubic honeycomb, edge length 1
Measures (edge length 1)
Circumradius0
Related polytopes
ArmySicot
RegimentSicot
DualCubic honeycomb tetracomb
Abstract & topological properties
OrientableYes
Properties
Symmetry[4,3,4,3]
ConvexYes

The order-4 icositetrachoric tetracomb, or sicot, is a paracompact regular tiling of 4D hyperbolic space. 4 icositetrachora meet at each face, and infinitely many meet at each vertex in a cubic honeycomb arrangement.

Represenations[edit | edit source]

An order-4 icositetrachoric tetracomb has the following Coxeter diagrams:

  • o4o3o4o3x () (full symmetry)
  • o3o4o3x *b3o () (facets of alternating types)
  • x3o4o3o4o3*a () (x4o3o4x () verf)

External links[edit | edit source]