Polyhedron with 26 faces
In geometry, the great icosihemidodecahedron (or great icosahemidodecahedron) is a nonconvex uniform polyhedron, indexed as U71. It has 26 faces (20 triangles and 6 decagrams), 60 edges, and 30 vertices.[1] Its vertex figure is a crossed quadrilateral.
It is a hemipolyhedron with 6 decagrammic faces passing through the model center.
Related polyhedra
Its convex hull is the icosidodecahedron. It also shares its edge arrangement with the great icosidodecahedron (having the triangular faces in common), and with the great dodecahemidodecahedron (having the decagrammic faces in common).
Gallery
Traditional filling
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Modulo-2 filling
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See also
References
External links
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Kepler-Poinsot polyhedra (nonconvex regular polyhedra) | |
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Uniform truncations of Kepler-Poinsot polyhedra | |
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Nonconvex uniform hemipolyhedra | |
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Duals of nonconvex uniform polyhedra | |
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Duals of nonconvex uniform polyhedra with infinite stellations | |
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