Nonconvex polyhedra

regular star polyhedron

nonconvex polyhedron with seven faces all of which abut each other

polyhedron with 24 faces

nonconvex polyhedron with 14 triangular faces in which every pair of vertices is connected by an edge

thumb|3D model of an octahemioctahedron

polyhedral surface that allows continuous non-rigid deformations such that all faces remain rigid

non-convex polyhedron whose faces meet in right angles

non-convex polyhedron that cannot be triangulated into tetrahedra without adding new vertices

self-crossing 8-sided flexible polyhedron

flexible polyhedron with 14 triangle faces