A star polyhedron is a nonconvex polyhedron which contains an arrangement of symmetrically (nor nearly symmetrically) arranged spikes giving it the visual appearance of a three-dimensional star. Star polyhedra can be constructed from concave polyhedra via stellation or augmentation. Examples include the stella octangula and Kepler-Poinsot solids. Star polyhedra appear prominently in the architecture of European churches (Tarnai et al. 2007, 2008).

augmentation | Kepler-Poinsot solid | polyhedron | regular polychoron | star polygon | stella octangula | stellation