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math.MG2006
A Very Intuitive Geometric Picture of the 24-cell, and Lattices Given by Using the Hopf Maps
Eric Lewin Altschuler, Antonio Perez--Garrido
We use the Hopf fibrillation to give simple and intuitive geometric constructions of the 24-cell, and lattices.
physics.comp-ph2006★ 4 cited
A Novel Symmetric Four Dimensional Polytope Found Using Optimization Strategies Inspired by Thomson's Problem of Charges on a Sphere
Eric Lewin Altschuler, Antonio Perez-Garrido, Richard Stong
Inspired by, and using methods of optimization derived from classical three dimensional electrostatics, we note a novel beautiful symmetric four dimensional polytope we have found…