Bipyramids and trapezohedra
All these polyhedra have equal faces. Moreover, the group of symmetry is transitive on the faces, this means that, if we take any couple of faces of a polyhedron, there's a symmetry of the polyhedron that sends the first face into the other one. For this reason, they could be used as impartial dice .
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The image belongs to the sections...:
Prisms, antiprisms, pyramids, dipyramids (3D geometry)
