stellated polyhedron

Stellation is the process of constructing polyhedra by extending the facial planes past the polyhedron edges of a given polyhedron until they intersect. The set of all possible polyhedron edges of the stellations can be obtained by finding all intersections on the facial planes. Since the number and variety of intersections can become unmanageable for complicated polyhedra, additional rules (e.g., Miller's rules) are sometimes added to constrain allowable stellations.

Archimedean dual stellations | Archimedean solid stellations | augmentation | deltoidal icositetrahedron stellations | dodecahedron stellations | faceting | fully supported stellation | icosahedron stellations | Kepler-Poinsot solid | Miller's rules | Platonic solid stellations | polyhedron | polytope stellations | rectification | rhombic dodecahedron stellations | rhombic triacontahedron stellations | small triakis octahedron stellations | star polyhedron | stella octangula | stellated truncated hexahedron | triakis tetrahedron stellations | truncation | uniform polyhedron