Semiregular

A semiregular polytope is a uniform polytope that only contains regular facets. The concept was created as a generalization of uniformity in 3D to higher dimensions, but is now superseded by uniform polytopes. The set of semiregular polytopes is rarely studied.

Convex examples

 * All convex regular polytopes
 * All convex uniform polyhedra (Archimedean solids, prisms, and antiprisms)
 * The k21 family in 4 to 8 dimensions
 * The rectified pentachoron (021)
 * The demipenteract (121)
 * The 27-72-peton (221)
 * The 126-576-exon (321)
 * The 2160-17280-zetton (421)
 * The rectified hexacosichoron
 * The snub disicositetrachoron

Nonconvex examples

 * All nonconvex regular polytopes
 * All nonconvex uniform polyhedra
 * Conjugates of convex semiregulars
 * The rectified grand hexacosichoron
 * The retrosnub disicositetrachoron
 * Facetings of regulars with uniform vertex figures
 * The tesseractihemioctachoron and other demicrosses
 * The small ditrigonary hexacosihecatonicosachoron
 * The ditrigonary dishecatonicosachoron
 * The great ditrigonary hexacosihecatonicosachoron
 * Snub facetings of the small stellated hecatonicosachoron
 * The retroantiprismatosnub disicositetrachoron
 * The snub hexecontatetrasnub-snub disoctachoron
 * The snub hecatonicosoctasnub disoctachoron
 * The snub triacontadihexecontatetrasnub disoctachoron
 * The snub hexecontatetrasnub dishexadecachoron
 * The tetrasnub antipodic disdecachoron
 * Blends of semiregulars
 * The small disnub dishexacosichoron
 * The great disnub dishexacosichoron