Snub Versions

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The Snub Versions

The Snub Cube

The snub versions - the snub cube and the snub dodecahedron. The term snub can refer to a chiral process (having different left handed and right handed forms). The process that is applied to the two solids in this group are identical in theory. If we consider firstly, the cube, taking its six square faces separately, rotate them slightly leaving them on the same plane. Now, imagine these six sides pushed out so that there is a gap between each of the edges. On all the edges of each square face, a pair of triangles are inserted. This gives the twisted effect to the solid.

 

The Snub Cube 3,3,3,3,4

 

The Snub Dodecahedron

The exact same process is applied to the dodecahedron. All its original pentagonal faces are twisted slightly and then pushed apart. Each edge is replaced with a pair of triangles. These triangles will always be common to two edges, each edge being from a separate face. It should be noted that the way in which you twist the face, whether it is to the left or right would determine the overall twist of the solid. It could be said that two other versions of these solids also exist.

 

        

                                 The Snub Dodecahedron 3,3,3,3,5                                  

 

 

 

 

 

 

 

 

 

 

 

 

Table of Contents        

What is a Polyhedron?

Polygons

     Regular

     Irregular

 

Platonic-Solids

Tetrahedron

Octahedron         Hexahedron

Icosahedron         Dodecahedron

Relationships

       

Archimedean- Solids

Truncated Tetrahedron

Truncated Octahedron

Truncated Hexahedron

Truncated Icosahedron

Truncated Dodecahedron

Quasi-regular Polyhedra

Rhombi Archimedeans

Truncated Quasi-regulars

Snub Polyhedra

 

Polyhedra & Spherical Geometry

Prerequisite Knowledge

Spherical Projection of the Cube

 

Glossary of Terms

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