Portal:Mathematics/Featured picture/2010 01

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Picture of the month


Credit: Tom Ruen

Orthographic projection of the Great grand 120-cell a star polychoron with Schläfli symbol {5,5/2,3}. It is one of 10 regular Schläfli-Hess polychora.

The Schläfli-Hess polychora are the complete set of 10 regular self-intersecting star polychora (four-dimensional polytopes). They are named in honor of their discoverers: Ludwig Schläfli and Edmund Hess. Each is represented by a Schläfli symbol {p,q,r} in which one of the numbers is 5/2. They are thus analogous to the regular nonconvex Kepler-Poinsot polyhedra.

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