# Celliprismatotruncated tesseractic tetracomb

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.

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

## 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.