Phyllic disphenoid

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Phyllic disphenoid
Phyllic disphenoid.png
Rank3
SpaceSpherical
Bowers style acronymPhydow
Info
Coxeter diagramoooo&#x
SymmetryA1×A1×I+, order 2
ArmyPhydow
RegimentPhydow
Elements
Vertex figure2+2 scalene triangles
Faces2+2 scalene triangles
Edges1+1+2+2
Vertices2+2
Central density1
Euler characteristic2
Related polytopes
DualPhyllic disphenoid
ConjugatePhyllic disphenoid
Properties
ConvexYes
OrientableYes
NatureTame

A phyllic disphenoid is a type of tetrahedron with two pairs of identical scalene triangles as faces. They commonly appear as cells in various step prisms along with some other isogonal polychora.

In vertex figures[edit | edit source]

Phyllic disphenoids appear as vertex figures in a total of 6 uniform polychora, which are omnitruncates with a doubled symmetry. These include the great prismatodecachoron, great prismatotetracontoctachoron, great quasiprismatotetracontoctachron, distetracontoctachoron, tetracontoctirhombated tetracontoctachoron, and tetracontoctiquasirhombated tetracontoctachoron.