Truncated great dodecahedron

In geometry, the truncated great dodecahedron is a nonconvex uniform polyhedron, indexed as U37.

It has 24 faces (12 pentagrams and 12 decagons), 90 edges, and 60 vertices.

It shares its vertex arrangement with three other uniform polyhedra: the nonconvex great rhombicosidodecahedron, the great dodecicosidodecahedron, and the great rhombidodecahedron; and with the uniform compounds of 6 or 12 pentagonal prisms.

It is the dual of the truncated great dodecahedron.

Wenninger, Magnus (1983), Dual Models, Cambridge University Press, doi:10.1017/CBO9780511569371, ISBN 978-0-521-54325-5, MR 0730208

3D model of a truncated great dodecahedron
3D model of a small stellapentakis dodecahedron
Animated truncation sequence from { 5 ⁄ 2 , 5} to {5, 5 ⁄ 2 }