Digonal disphenoid

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Digonal disphenoid
Rank3
SpaceSpherical
Bowers style acronymDidow
Coxeter diagramxo oy&#z
Elements
Vertex figureIsosceles triangle
Faces2+2 isosceles triangles
Edges1+1+4
Vertices2+2
Central density1
Euler characteristic2
Related polytopes
ArmyDidow
RegimentDidow
DualDigonal disphenoid
ConjugateDigonal disphenoid
Topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryK2×I, order 4
ConvexYes
NatureTame

The digonal disphenoid or didow is a type of tetrahedron with two pairs of two identical isosceles triangles for faces. It can be considered to be the digonal version of an antipodium.

Digonal disphenoids can be obtained as the pyramid product of two dyads of different length.

In vertex figures[edit | edit source]

A total of 6 uniform polychora have digonal disphenoids for vertex figures, including the tesseractihexadecachoron, hexacosihecatonicosachoron, small hecatonicosihecatonicosachoron, dishecatonicosachoron, great hexacosihecatonicosachoron, and great hecatonicosihecatonicosachoron. They are also the vertex figures of any duoprism with non-identical base polygons.