This animation shows the 'Morphohedron': a configuration of all five Platonic solids, each one fitting inside the others in turn. The proportions of the edge lengths between polyhedra exhibit powers of the Golden Ratio, creating a sequence of various symmetries from one polyhedron to the next, analogue to how various symmetry groups used in quantum physics can geometrically fit together as suggested by 'Atomic Architecture', which sometimes also involve the same Golden Ratio.
Dugan Hammock, UMass-Amherst, Uni-TübingenGene Bohlmann, Raymond Aschheim
Video Creator Bio
Stephen Wilmoth, Architect, Artist, Geometer, Math dept, U.C. Berkeley, Pebble Beach, CA My work is directed at demonstrating the amazing interrelationship of the Regular Polyhedrons (Platonic Solids plus Kepler/Poinsot), and the Golden Ratio( 1.618). Blending these together creates the three dimensional projection of the Fibonacci numbers. I call this phenomenon the Morphohedron.