Archimedean Solids

Archimedes, the ancient Greek mathematician, physicist, engineer, and inventor, made significant contributions to the field of geometry. 

Archimedean solids are a fascinating topic in the realm of geometry and mathematics. These unique three-dimensional shapes have captured the interest of mathematicians, scientists, and enthusiasts alike. But what exactly are Archimedean solids and why are they so special?

While the Platonic solids are made up of only one type of regular polygon, the Archimedean solids combine multiple types of regular polygons to create their unique shapes. Additionally, the vertices of these solids are all equivalent, meaning that the same number of faces meet at each vertex.

There are a total of 13 Archimedean solids, each with its own unique combination of regular polygons. Of the 13 exist two families of solids; 6 of the solids are based in the cubic world and 7 are pentagonally based. The 6 cubic based solids (truncated cube, truncated tetrahedron, truncated octohedron, cube octohedron, and the two rhombicubeoctahedrons) are useful in the world of infinite architecture, and work with the 3 platonic solids to fill space infinitely. 

By exploring these sacred forms, mathematicians and scientists can deepen their understanding of the underlying structures of the physical world.