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Professor I.Kh. Sabitov’s Seminar at Moscow State University

March 6, 2009. “T minus 10... nine... eight... seven... six... five... four... three... two... engine start... one... zero... and liftoff of the Delta II rocket with Kepler on a search for planets in some way like our own!” NASA Launch Commentator was so excited that he was trying to say “ignition” and “engine” at the same time. Named after the 17th century German scientist Johannes Kepler, who discovered the laws of planetary motion, NASA's Kepler spacecraft will use those laws to seek out Earth-like worlds around distant starts. Kepler, a key figure in the scientific revolution, thought of the Universe as consisting of nested Platonic Solids whose inscribed spheres determine the planetary orbits in our solar system. Together, the Platonic solids and the Kepler-Poinsot polyhedra form the set of 9 regular polyhedra. A new regular polyhedron in 4-dimensional space is described in my lecture, “Models of the Toroidal Hexadecahedron”, given at Moscow State University on March 6, 2009.

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