Small dodecahemidodecahedron


In geometry, the small dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as U51. It has 18 faces, 60 edges, and 30 vertices. Its vertex figure alternates two regular pentagons and decagons as a crossed quadrilateral.
It is a hemipolyhedron with six decagonal faces passing through the model center.

Related polyhedra

It shares its edge arrangement with the icosidodecahedron, and with the small icosihemidodecahedron.

Icosidodecahedron

Small icosihemidodecahedron

Small dodecahemidodecahedron