the convex semiregular

Convex uniform polyhedra have regular faces and are isogonal, meaning they are transitive in their vertices, and are dividable into:

  • Regular polyhedra: 5, isoedral and isotoxal (aka the Platonic solids),
  • Quasiregular polyhedra: 2, isotoxal (aka Archimedean solids, in which each face is surrounded by faces of a different type), They are obtained from rectification of the convex regular and are dealt with in this webpage.
  • Semiregular polyhedra: the remaining 11 Archimedeans, and the infinite families of the semiregular prisms and antiprisms.

Truncated Tetrahedron, tT, from the regular tetrahedron,

2 ways of modelling the truncated tetrahedron from the tetrahedron (vera viana)

Truncated Cube, tC, from the cube

modelling the truncated cube from the cube (vera viana)

Truncated Octahedron, tO, from the octahedron, and from the cube

modelling the truncated octahedron from the octahedron (vera viana)
2 ways of modelling the truncated octaedron from the cube (vera viana)

Truncated Icosahedron, tI

(coming soon)

Truncated Dodecahedron, tD

(coming soon)

Rhombicuboctahedron, RCO

(coming soon)

Rhombicosidodecahedron, RID

(coming soon)

Rhombitruncated Cuboctahedron, rtCO

(coming soon)

Rhombitruncated Icosidodecahedron, rtID

(coming soon)

Snub Cube, sC

(coming soon)

Snub Dodecahedron, sD

(coming soon)

* The software used is Rhinoceros (version 6.0)