Brick-symmetric great icosahedron faceting

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Brick-symmetric great icosahedron faceting
Rank3
TypeOrbiform
Notation
Bowers style acronymBisgif
Elements
Faces4+4 triangles, 4 pentagrams
Edges2+2+2+8+8
Vertices4+4+4
Vertex figures4 nonconvex pentagons, edge lengths 1, 1, (5–1)/2, 1, (5–1)/2
 4 isosceles triangles, edge lengths 1, 1, (5–1)/2
 4 isosceles triangles, edge lengths 1, (5–1)/2, (5–1)/2
Measures (edge length 1)
Circumradius
Volume
Dihedral angles5/2-5/2:
 3-5/2 #1:
 3-3:
 3-5/2 #2:
Number of external pieces52
Level of complexity47
Related polytopes
ConjugateBrick-symmetric icosahedron faceting
Convex hullIcosahedron, edge length (5–1)/2
Convex coreDigonal orthobicupola
Abstract & topological properties
Flag count88
Euler characteristic2
OrientableYes
Genus0
Properties
SymmetryK3, order 8
ConvexNo
NatureTame

The brick-symmetric great icosahedron faceting, or bisgif is an orbiform polyhedron. It consists of 8 triangles and 4 pentagrams. As its name suggests, it is a faceting of the great icosahedron, and thus also of the small stellated dodecahedron.

It appears as a cell of the great digonal swirlprism.

Vertex coordinates[edit | edit source]

Its vertex coordinates are the same as those of the small stellated dodecahedron.

Gallery[edit | edit source]

External links[edit | edit source]