Kepler on Platonic solids, 1619

Kepler on Platonic solids, 1619

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Credit: LIBRARY OF CONGRESS/SCIENCE PHOTO LIBRARY

Caption: Kepler on Platonic solids. Illustrations and Latin text from Book V of 'Harmonices Mundi' (The Harmony of the World, 1619) by German mathematician and astronomer Johannes Kepler (1571-1630). From his study of musical harmony and geometry, Kepler developed his third law of planetary motion. Discussed here are the relations and properties of the five regular polyhedra (Platonic solids): octahedron, tetrahedron, cube, icosahedron, and dodecahedron. Kepler assigned these solids to the known planets and tried to make observations of their orbits fit the interlocking of the polyhedra. He invented new forms of the dodecahedron to improve his theory.

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Keywords: 1600s, 1619, 17th century, artwork, astronomical, astronomy, black-and-white, book, book 5, book v, cube, dodecahedron, european, geometrical, geometry, german, harmonices mundi, harmonics, historical, history, icosahedron, illustration, johannes kepler, latin, monochrome, musical harmony, no-one, nobody, octahedron, orbits, page, planetary, planets, platonic solid, platonic solids, polyhedra, polyhedron, printed text, publication, tetrahedron, text, the harmony of the world, third law of planetary motion

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