Topic summary
Pentagonal trapezohedron

In geometry, a pentagonal trapezohedron is the third in the infinite family of trapezohedra, face-transitive polyhedra. Its dual polyhedron is the pentagonal antiprism. As a decahedron it has ten faces which are congruentkites.
One particular pentagonal trapezohedron can be decomposed into two pentagonal pyramids and a regular dodecahedron in the middle.