|The truncations (cuttings of regular pyramids on each vertex) of two regular dual polyhedra P and P' give the same polyhedron tP. Their extensions (assemblings of regular pyramids on each face) give the same polyhedron eP.
tP and eP are dual; the same holds for P1 and P1' and for P2 and P2'.
The snub cube and the snub dodecahedron - which can't be obtained by truncations - and their duals are absent.
The tetrahedron is its own dual, thus its sequences are very poor (and the snub tetrahedron is the regular icosahedron).
||convex polyhedra - non convex polyhedra - interesting polyhedra - related subjects||August 2002 |