It is possible to go past these limiting cases, creating concave or nonconvex pyritohedra. The endo-dodecahedron is concave and equilateral; it can tessellate space with the convex regular dodecahedron. Continuing from there in that direction, we pass through a degenerate case where twelve vertices coincide in the centre, and on to the regular great stellated dodecahedron where all edges and angles are equal again, and the faces have been distorted into regular pentagrams. On the other side, past the rhombic dodecahedron, we get a nonconvex equilateral dodecahedron with fish-shaped self-intersecting equilateral pentagonal faces.
It is possible to go past these limiting cases creating concave or nonconvex pyritohedra The endo-dodecahedron is concave and equilateral; it can tessellate space with the convex regular dodecahedron Continuing from there in that direction we pass through a degenerate case where twelve vertices coincide in the centre and on to the regular great stellated dodecahedron where all edges and angles are equal again and the faces have been distorted into regular pentagrams On the other side past the rhombic dodecahedron we get a nonconvex equilateral dodecahedron with fish-shaped self-intersecting equilateral pentagonal faces