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. 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).
Great icosidodecahedronGreat dodecahemidodecahedronGreat icosihemidodecahedronIcosidodecahedron (convex hull)
Gallery
Traditional fillingModulo-2 filling
See also List of uniform polyhedra
References
External links
Uniform polyhedra and duals