Articles liés à Regular Polytope: Mathematics, Polytope, Symmetry,...

Regular Polytope: Mathematics, Polytope, Symmetry, Flag, Regular Polygon, Regular Polyhedron, Aesthetics, Facet, Abstract Polytope, Polychoron, List ... Star Polygon, Hypercube, Cross-Polytope - Couverture souple

 
9786130347932: Regular Polytope: Mathematics, Polytope, Symmetry, Flag, Regular Polygon, Regular Polyhedron, Aesthetics, Facet, Abstract Polytope, Polychoron, List ... Star Polygon, Hypercube, Cross-Polytope

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a regular polytope is a polytope whose symmetry is transitive on its flags, thus giving it the highest degree of symmetry. All its elements or j-faces (for all 0 ≤ j ≤ n, where n is the dimension of the polytope) — cells, faces and so on — are also transitive on the symmetries of the polytope, and are regular polytopes of dimension ≤ n. Regular polytopes are the generalized analog in any number of dimensions of regular polygons (for example, the square or the regular pentagon) and regular polyhedra (for example, the cube). The strong symmetry of the regular polytopes gives them an aesthetic quality that interests both non-mathematicians and mathematicians.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a regular polytope is a polytope whose symmetry is transitive on its flags, thus giving it the highest degree of symmetry. All its elements or j-faces (for all 0 ≤ j ≤ n, where n is the dimension of the polytope) — cells, faces and so on — are also transitive on the symmetries of the polytope, and are regular polytopes of dimension ≤ n. Regular polytopes are the generalized analog in any number of dimensions of regular polygons (for example, the square or the regular pentagon) and regular polyhedra (for example, the cube). The strong symmetry of the regular polytopes gives them an aesthetic quality that interests both non-mathematicians and mathematicians.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.