Cyclopentachoric tetracomb
The cyclopentachoric tetracomb (OBSA: cypit) also called the pentachoricdispentachoric tetracomb, 5cell honeycomb, or 4simplex honeycomb is a convex uniform tetracomb. 10 pentachora and 20 rectified pentachora join at each vertex of this tessellation, with a small prismatodecachoron as the vertex figure. It is the 4D simplicial honeycomb.
Cyclopentachoric tetracomb  

Rank  5 
Type  Uniform 
Space  Euclidean 
Notation  
Bowers style acronym  Cypit 
Coxeter diagram  x3o3o3o3o3*a () 
Elements  
Tera  
Cells 

Faces  20N triangles 
Edges  10N 
Vertices  N 
Vertex figure  Small prismatodecachoron, edge length 1 
Related polytopes  
Army  Cypit 
Regiment  Cypit 
Conjugate  None 
Abstract & topological properties  
Orientable  Yes 
Properties  
Symmetry  P_{5}×2 
Convex  Yes 
Nature  Tame 
Vertex coordinates edit
This polytope is missing vertex coordinates.(August 2024) 
External links edit
 Klitzing, Richard. "cypit".
 Wikipedia contributors. "5cell honeycomb".