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## Symmetry groups of regular polytopes in three and four dimensions

### The Platonic Solids, Binary Groups and Regular Polytopes in four-dimensional space

A pentagon is an example of a highly symmetric polygon in two-dimensional space. The three-and four-dimensional analogue of these polygons are the regular polyhedra and the regular polytopes. There exist five regular polyhedra in three-dimensional space and these are called the P ...

## Symmetry groups of regular polytopes in three and four dimensions

### The Platonic Solids, Binary Groups and Regular Polytopes in four-dimensional space

A pentagon is an example of a highly symmetric polygon in two-dimensional space. The three-and four-dimensional analogue of these polygons are the regular polyhedra and the regular polytopes. There exist five regular polyhedra in three-dimensional space and these are called the P ...

## Symmetry groups of regular polytopes in three and four dimensions

### The Platonic Solids, Binary Groups and Regular Polytopes in four-dimensional space

A pentagon is an example of a highly symmetric polygon in two-dimensional space. The three-and four-dimensional analogue of these polygons are the regular polyhedra and the regular polytopes. There exist five regular polyhedra in three-dimensional space and these are called the P ...