∞,∞,∞ honeycomb

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∞,∞,∞ honeycomb
Rank4
Dimension3
TypeRegular
SpaceHyperbolic
Notation
Coxeter diagramx∞o∞o∞o ()
Schläfli symbol{∞,∞,∞}
Elements
Cellsorder-∞ apeirogonal tiling
Facesapeirogons
Vertex figureorder-∞ apeirogonal tiling
Related polytopes
Dual∞,∞,∞ honeycomb
Abstract & topological properties
OrientableYes

The ∞,∞,∞ honeycomb is a hypercompact regular polychoron. Its vertices and cells are ultra-ideal, while its edges and faces are ideal.

Coxeter diagrams[edit | edit source]

The ∞,∞,∞ honeycomb has the following Coxeter diagrams:

  • x∞o∞o∞o ()
  • x∞o∞o∞o∞*b ()

Gallery[edit | edit source]