Archimedean Solids

A set of 13 solids derived from the 5 Platonic Solids through truncation, explosion, and twisting.

The Greek mathematician Archimedes listed 13 polyhedra in a now misplaced work, which had been rediscovered and accomplished by Johannes Kepler round 1620. The Archimedean solids are the one 13 polyhedra which can be convex, have an identical vertices, and their faces are common polygons (though not equal as within the Platonic solids). 

The entire 13 solids may be created from the 5 Platonic Solids via truncation, explosion, and twisting. A few of the most distinguished varieties are the Cuboctahedron, the Truncated Octahedron, the Rhombi-Cuboctahedron, and the Nice Rhombi-Cuboctahedron. In our new idea ‘Quantum Geometry’, we use these varieties to map the construction of the electron cloud.

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