5-cell honeycomb

4-simplex honeycomb
(No image)
Type Uniform 4-honeycomb
Family Simplectic honeycomb
Schläfli symbol {3[5]} = 0[5]
Coxeter diagram
4-face types {3,3,3}
t1{3,3,3}
Cell types {3,3}
t1{3,3}
Face types {3}
Vertex figure
t0,3{3,3,3}
Symmetry ×2
[3[5]]
Properties vertex-transitive

In four-dimensional Euclidean geometry, the 4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb. It is composed of 5-cells and rectified 5-cells facets in a ratio of 1:1.