Petrial hemiicosahedron

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Petrial hemiicosahedron
Rank3
Dimension5
TypeRegular
Notation
Schläfli symbol
Elements
Faces6 pentagonal-pentagrammic coils
Edges15
Vertices6
Vertex figurePentagonal-pentagrammic coil
Petrie polygons10 triangles
Holes10 triangles
Related polytopes
ArmyHix
DualPetrial hemiicosahedron
Petrie dualHemiicosahedron
φ 2 Hemiicosahedron
Convex hullHexateron
Orientation double cover{5,5∣3}
Abstract & topological properties
Flag count60
Euler characteristic-3
Schläfli type{5,5}
OrientableNo
Genus5
SkeletonK 6 

The Petrial hemiicosahedron is an abstract polyhedron and regular skew polyhedron in 5-dimensional Euclidean space.

Vertex coordinates[edit | edit source]

The vertex coordinates of the Petrial hemiicosahedron in 5-dimensional Euclidean space are the same as the those of the 5-simplex.

Related polytopes[edit | edit source]

It is the Petrie dual of the hemiicosahedron. It is the halving of the Gordan map.

It is the hemi-polytope of the great dodecahedron and small stellated dodecahedron.

External links[edit | edit source]