Rectified tesseractic tetracomb

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Rectified tesseractic tetracomb
Rank5
TypeQuasiregular
SpaceEuclidean
Notation
Bowers style acronymRittit
Coxeter diagramo4x3o3o4o ()
Elements
TeraN hexadecachora, N rectified tesseracts
Cells16N tetrahedra, 4N cuboctahedra
Faces32N triangles, 6N squares
Edges24N
Vertices4N
Vertex figureOctahedral prism, edge lengths 1 (base) and 2 (sides
Related polytopes
ArmyRittit
RegimentRittit
DualJoined tesseractic tetracomb
ConjugateNone
Abstract & topological properties
OrientableYes
Properties
SymmetryR5
ConvexYes
NatureTame

The rectified tesseractic tetracomb, or rittit, is a convex uniform tetracomb. 2 hexadecachora and 8 rectified tesseracts join at each vertex of this tessellation. As the name suggests, it is the rectification of the tesseractic tetracomb.

Vertex coordinates[edit | edit source]

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

  • ,

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

Representations[edit | edit source]

A rectified tesseractic tetracomb has the following Coxeter diagrams:

  • o4x3o3o4o () (full symmetry)
  • o3o3x4o *b3o () (half symmetry, tetratetrahedral prism verf)
  • x3o3o4o *b3x () (half symmetry, octahedral frustum verf)
  • x3o3x *b3o *b3o () (quarter symmetry, tetratetrahedral frustum verf)

External links[edit | edit source]