stylistic:style_transfer, structural:scholar_edition, information:filtering
As a Platonic solid

The regular octahedron is one of the Platonic solids, a set of polyhedrons whose faces are congruent regular polygons and the same number of faces meet at each vertex. This ancient set of polyhedrons was named after Plato who, in his Timaeus dialogue, related these solids to nature. One of them, the regular octahedron, represented the classical element of wind.

Following its attribution with nature by Plato, Johannes Kepler in his Harmonices Mundi sketched each of the Platonic solids. In his Mysterium Cosmographicum, Kepler also proposed the Solar System by using the Platonic solids setting into another one and separating them with six spheres resembling the six planets. The ordered solids started from the innermost to the outermost: regular octahedron, regular icosahedron, regular dodecahedron, regular tetrahedron, and cube.