Schl?fli–Hess Polychoron

Schl?fli–Hess Polychoron

Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow

     

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Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-6-1311-6036-3
Объём: 68 страниц
Масса: 123 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

High Quality Content by WIKIPEDIA articles! In four-dimensional geometry, Schlafli–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 Schlafli and Edmund Hess. Each is represented by a Schlafli symbol {p,q,r} in which one of the numbers is 5/2. They are thus analogous to the regular nonconvex Kepler–Poinsot polyhedra. Allowing for regular star polygons as faces, edge figures and vertex figures, these 10 polychora add to the set of six regular convex 4-polytopes. All may be derived as stellations of the 120-cell {5,3,3} or the 600-cell {3,3,5}.

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