Excavated dodecahedron

Excavated dodecahedron

(see 3D model)
Type Stellation
Index W28, 26/59
Elements
(As a star polyhedron)
F = 20, E = 60
V = 20 (χ = −20)
Faces
Star hexagon
Vertex figure
Concave hexagon
Stellation diagram
Symmetry group icosahedral (Ih)
Dual polyhedron self
Properties noble polyhedron, vertex transitive, self-dual polyhedron

In geometry, the excavated dodecahedron is a star polyhedron that looks like a dodecahedron with concave pentagonal pyramids in place of its faces. Its exterior surface represents the Ef1g1 stellation of the icosahedron. It appears in Magnus Wenninger's book Polyhedron Models as model 28, the third stellation of icosahedron.