# Polyhedra

[![grafik.png](https://wiki.stadtfabrikanten.org/uploads/images/gallery/2025-05/scaled-1680-/i9bw8oxvQ0ap3KJj-grafik.png)](https://wiki.stadtfabrikanten.org/uploads/images/gallery/2025-05/i9bw8oxvQ0ap3KJj-grafik.png)

## The options

- archimedean dual 
    - A Catalan body or dual Archimedean body is a body that is dual to an Archimedean body. For example, the rhombic dodecahedron is dual to the cuboctahedron. The Catalan solids - of which there are 13 - are named after the Belgian mathematician Eugène Charles Catalan.
- archimedean 
    - convex polyhedra with the following properties: their side faces are regular polygons, all the vertices of the body behave completely identically to each other, and they are neither Platonic solids nor prisms or antiprisms.
- platonic 
    - polyhedra with the greatest possible symmetry. Each of them is bounded by several congruent plane regular polygons. Another name is regular solids. There are five Platonic solids.

## Example Output

[![grafik.png](https://wiki.stadtfabrikanten.org/uploads/images/gallery/2025-05/scaled-1680-/bt6oToRAHHUw6lKJ-grafik.png)](https://wiki.stadtfabrikanten.org/uploads/images/gallery/2025-05/bt6oToRAHHUw6lKJ-grafik.png)

[![grafik.png](https://wiki.stadtfabrikanten.org/uploads/images/gallery/2025-05/scaled-1680-/8CtPP7TzEdP25dxw-grafik.png)](https://wiki.stadtfabrikanten.org/uploads/images/gallery/2025-05/8CtPP7TzEdP25dxw-grafik.png)

[![grafik.png](https://wiki.stadtfabrikanten.org/uploads/images/gallery/2025-05/scaled-1680-/qZLyTP3JemHxVvrE-grafik.png)](https://wiki.stadtfabrikanten.org/uploads/images/gallery/2025-05/qZLyTP3JemHxVvrE-grafik.png)