Order-5 5-cell honeycomb explained

bgcolor=#e7dcc3 colspan=2Order-5 5-cell honeycomb
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TypeHyperbolic regular honeycomb
Schläfli symbol
Coxeter diagram
4-faces
Cells
Faces
Face figure
Edge figure
Vertex figure
Dual120-cell honeycomb
Coxeter group4, [5,3,3,3]
PropertiesRegular
In the geometry of hyperbolic 4-space, the order-5 5-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol, it has five 5-cells around each face. Its dual is the 120-cell honeycomb, .

Related honeycombs

It is related to the order-5 tesseractic honeycomb,, and order-5 120-cell honeycomb, .

It is topologically similar to the finite 5-orthoplex,, and 5-simplex, .

It is analogous to the 600-cell,, and icosahedron, .

See also

References