• Thumbnail for Convex polytope
    A convex polytope is a special case of a polytope, having the additional property that it is also a convex set contained in the n {\displaystyle n} -dimensional...
    23 KB (3,266 words) - 17:46, 21 May 2024
  • cell, consists of a polyhedron. A polytope may be convex. The convex polytopes are the simplest kind of polytopes, and form the basis for several different...
    26 KB (3,117 words) - 07:21, 6 August 2024
  • Thumbnail for Regular 4-polytope
    dimensions. There are six convex and ten star regular 4-polytopes, giving a total of sixteen. The convex regular 4-polytopes were first described by the...
    27 KB (1,648 words) - 00:34, 2 August 2024
  • Thumbnail for 4-polytope
    related to the infinite 2D square tiling. Convex 4-polytopes can be cut and unfolded as nets in 3-space. A 4-polytope is a closed four-dimensional figure....
    16 KB (1,774 words) - 00:10, 25 August 2024
  • Thumbnail for Polyhedron
    Polyhedron (redirect from Convex polyhedron)
    and a 3-dimensional specialization of a polytope, a more general concept in any number of dimensions. Convex polyhedra are well-defined, with several...
    87 KB (9,892 words) - 04:42, 24 August 2024
  • Thumbnail for Integral polytope
    integral polytope is a convex polytope whose vertices all have integer Cartesian coordinates. That is, it is a polytope that equals the convex hull of...
    8 KB (945 words) - 07:18, 22 June 2024
  • Thumbnail for Cross-polytope
    In geometry, a cross-polytope, hyperoctahedron, orthoplex, or cocube is a regular, convex polytope that exists in n-dimensional Euclidean space. A 2-dimensional...
    21 KB (1,017 words) - 21:38, 19 August 2024
  • (of arbitrary orientation) is (the interior of) a convex polytope, or in the 2-dimensional case a convex polygon. An open interval is a connected open set...
    35 KB (4,892 words) - 08:36, 22 May 2024
  • Convex Polytopes is a graduate-level mathematics textbook about convex polytopes, higher-dimensional generalizations of three-dimensional convex polyhedra...
    8 KB (918 words) - 22:03, 9 February 2023
  • Thumbnail for Convex hull
    In geometry, the convex hull, convex envelope or convex closure of a shape is the smallest convex set that contains it. The convex hull may be defined...
    61 KB (7,161 words) - 05:57, 16 August 2024