Octagrammic duoprism

The octagrammic duoprism or stodip, also known as the octagrammic-octagrammic duoprism, the 8/3 duoprism or the 8/3-8/3 duoprism, is a noble uniform duoprism that consists of 16 octagrammic prisms, with 4 meeting at each vertex.

Octagrammic duoprism
Rank4
TypeUniform
Notation
Bowers style acronymStodip
Coxeter diagramx8/3o x8/3o ()
Elements
Cells16 octagrammic prisms
Faces64 squares, 16 octagrams
Edges128
Vertices64
Vertex figureTetragonal disphenoid, edge lengths 2–2 (bases) and 2 (sides)
Measures (edge length 1)
Circumradius
Inradius
Hypervolume
Dichoral anglesStop–4–stop: 90°
 Stop–8/3–stop: 45°
Central density9
Number of external pieces32
Level of complexity12
Related polytopes
ArmyOdip, edge length
RegimentStodip
DualOctagrammic duotegum
ConjugateOctagonal duoprism
Abstract & topological properties
Flag count1536
Euler characteristic0
OrientableYes
Properties
SymmetryI2(8)≀S2, order 512
ConvexNo
NatureTame

The octagrammic duoprism can be vertex-inscribed into a sphenoverted tesseractitesseractihexadecachoron or great distetracontoctachoron.

Vertex coordinates edit

The vertices of an octagrammic duoprism, centered at the origin and with unit edge length, are given by:

  •  ,
  •  ,
  •  ,
  •  .

Representations edit

An octagrammic duoprism has the following Coxeter diagrams:

  • x8/3o x8/3o (           ) (full symmetry)
  • x4/3x x8/3o (           ) (B2×I2(8) symmetry, some octagrams as ditetragrams)
  • x4/3x x4/3x (           ) (B2≀S2 symmetry, all octagrams as ditetragrams)

External links edit