User:Double sharp/Polyhedra categorisation

Bowers' categorisation:
 * 1) Regulars
 * 2) *All the regular polyhedra.
 * 3) Truncates
 * 4) *Truncates and quasitruncates of the regular polyhedra.
 * 5) Quasiregulars
 * 6) *Rectified regular polyhedra plus their facetings (the hemipolyhedra). Thah is also included here. Also here are the three ditrigonal polyhedra: sidtid, ditdid and gidtid.
 * 7) Trapeziverts
 * 8) *Cantellated regular polyhedra plus their facetings. Their facetings include both socco-type and sroh-type (blended) polyhedra.
 * 9) Omnitruncates
 * 10) *Omnitruncated regular polyhedra. Includes great rhombates, great quasirhombates, and cotco and idtid as special cases.
 * 11) Snubs
 * 12) *Alternated great rhombates. Includes Miller's monster.
 * 13) Prisms
 * 14) *The infinite set of prisms.
 * 15) Antiprisms
 * 16) *The infinite set of antiprisms and crossed-antiprisms.

Johnson's categorisation:
 * 1) Regulars
 * 2) *The regular polyhedra only.
 * 3) Quasiregulars
 * 4) *Rectified regular polyhedra plus the ditrigonal polyhedra.
 * 5) Hemipolyhedra
 * 6) *The nine hemipolyhedra only.
 * 7) Truncates
 * 8) *Truncates and quasitruncates of the regulars.
 * 9) Cantellates
 * 10) *The cantellates of the regular polyhedra, together with their socco-like facetings.
 * 11) Other even-faced polyhedra
 * 12) *The sroh-like facetings of the cantellates.
 * 13) Omnitruncates
 * 14) *The great rhombates, great quasirhombates and cotco and idtid.
 * 15) Snubs
 * 16) *Alternated great rhombates. Includes Miller's monster.
 * 17) Prisms
 * 18) *The infinite set of prisms.
 * 19) Antiprisms
 * 20) *The infinite set of antiprisms and crossed-antiprisms.