Blended Petrial great stellated dodecahedron

From Polytope Wiki
Jump to navigation Jump to search
Blended Petrial great stellated dodecahedron
Rank3
Dimension4
TypeRegular
Elements
Faces12 skew decagons
Edges60
Vertices40
Vertex figureTriangle
Petrie polygons12 skew pentagrams
Related polytopes
Petrie dualBlended great stellated dodecahedron
Abstract & topological properties
Flag count240
Euler characteristic-8
Schläfli type{10,3}
OrientableYes
Genus5
Properties
SymmetryH3×A1, order 240
ConvexNo
Dimension vector(1,3,3)

The blended Petrial great stellated dodecahedron is a regular skew polyhedron in 4-dimensional Euclidean space. It can be created as the blend of the Petrial great stellated dodecahedron with the dyad or as the Petrial of the blended great stellated dodecahedron.

The blended Petrial great stellated dodecahedron and its Petrie dual, the blended great stellated dodecahedron are additionally both realizations of the blended dodecahedron.

Related polytopes[edit | edit source]

It is the kappa of the dodecahedron in 4-dimensional space.

It is appears as the cells of the kappa 120-cell.

External links[edit | edit source]