# Celliprismatotruncated tesseractic tetracomb

Celliprismatotruncated tesseractic tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymCaptatit
Coxeter diagramx4x3o3x4x ()
Elements
Tera4N truncated cubic prisms, 3N octagonal duoprisms, N prismatorhombated hexadecachora
Cells32N triangular prisms, 24N+8N cuboctahedra, 24N octagonal prisms, 8N truncated cubes
Faces64N triangles, 24N+48N+96N squares, 48N octagons
Edges96N+192N
Vertices96N
Vertex figureRectangular scalene, base edge lengths 1 and 2, remaining edge lengths 2 (5) and 2+2 (4)
Related polytopes
ArmyCaptatit
RegimentCaptatit
ConjugateQuasiquasicelliprismatotruncated tesseractic tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryR5×2
ConvexYes
NatureTame

The celliprismatotruncated tesseractic tetracomb or captatit, also called the steriruncitruncated tesseractic tetracomb is a convex uniform tetracomb. 2 prismatorhombated hexadecachora, 2 truncated cubic prisms, and 2 octagonal duoprisms join at each vertex of this tessellation. As the name suggests, it is the steriruncitruncation of the tesseractic tetracomb.

## Vertex coordinates

The vertices of a celliprismatotruncated tesseractic tetracomb of edge length 1 are given by all permutations of:

• ${\displaystyle \left(\pm {\frac {1}{2}}+(2+2{\sqrt {2}})i,\,\pm {\frac {1+{\sqrt {2}}}{2}}+(2+2{\sqrt {2}})j,\,\pm {\frac {1+{\sqrt {2}}}{2}}+(2+2{\sqrt {2}})k,\,\pm {\frac {1+2{\sqrt {2}}}{2}}+(2+2{\sqrt {2}})l\right)}$,

where i, j, k, and l range over the integers.