Petrial Gordan map

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Petrial Gordan map
Rank3
TypeRegular
Elements
Faces10 hexagons
Edges30
Vertices12
Vertex figurePentagon
Petrie polygons15 squares
Holes15 squares
Related polytopes
Petrie dualGordan map
φ 2 Gordan map
Abstract & topological properties
Flag count120
Euler characteristic-3
Schläfli type{6,5}
OrientableNo
Genus5
Properties
SymmetryS5, order 120

The Petrial Gordan map is an abstract regular polyhedron. It is the Petrial and second-order facetting of the Gordan map.

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