Small icosihemidodecahedron
In geometry, the small icosihemidodecahedron is a uniform star polyhedron, indexed as U49. It has 26 faces, 60 edges, and 30 vertices. Its vertex figure alternates two regular triangles and decagons as a crossed quadrilateral.
It is given a Wythoff symbol, 3 | 5, but that construction represents a double covering of this model.
It is a hemipolyhedron with its six decagonal faces passing through the model center.
Related polyhedra
It shares its edge arrangement with the icosidodecahedron, and with the small dodecahemidodecahedron.Icosidodecahedron | Small icosihemidodecahedron | Small dodecahemidodecahedron |