- four-dimensional polytope
- мат. четырехмерный политоп
Большой англо-русский и русско-английский словарь. 2001.
four-dimensional polytope
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Polytope — Not to be confused with polytrope. In elementary geometry, a polytope is a geometric object with flat sides, which exists in any general number of dimensions. A polygon is a polytope in two dimensions, a polyhedron in three dimensions, and so on… … Wikipedia
Regular polytope — 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… … Wikipedia
Abstract polytope — In mathematics, an abstract polytope is a combinatorial structure with properties similar to those shared by a more classical polytope. Abstract polytopes correspond to the structures of polygons, polyhedra, tessellations of the plane and higher… … Wikipedia
Uniform polytope — A uniform polytope is a vertex transitive polytope made from uniform polytope facets. A uniform polytope must also have only regular polygon faces.Uniformity is a generalization of the older category semiregular, but also includes the regular… … Wikipedia
Cross-polytope — In geometry, a cross polytope,[1] orthoplex,[2] hyperoctahedron, or cocube is a regular, convex polytope that exists in any number of dimensions. The vertices of a cross polytope are all the permutations of (±1, 0, 0, …, 0). The cross polytope is … Wikipedia
Convex regular 4-polytope — The tesseract is one of 6 convex regular 4 polytopes In mathematics, a convex regular 4 polytope is a 4 dimensional polytope that is both regular and convex. These are the four dimensional analogs of the Platonic solids (in three dimensions) and… … Wikipedia
n-dimensional sequential move puzzle — Five dimensional 25 puzzle partial cutaway demonstrating that even with the minimum size in 5 D the puzzle is far from trivial. The 4 D nature of the stickers is clearly visible in this screen shot. The Rubik s cube is the original and best known … Wikipedia
N-dimensional sequential move puzzles — The Rubik s cube is the original and most well known of the three dimensional sequential move puzzles. There have been many virtual implementations of this puzzle in software. It is a natural extension to create sequential move puzzles in more… … Wikipedia
Semiregular 4-polytope — In geometry, a semiregular 4 polytope (or polychoron) is a 4 dimensional polytope which is vertex transitive (i.e. the symmetry group of the polytope acts transitively on the vertices) and whose cells are regular polyhedra. These represent a… … Wikipedia
Neighborly polytope — In geometry and polyhedral combinatorics, a k neighborly polytope is a convex polytope in which every set of k or fewer vertices forms a face. For instance, a 2 neighborly polytope is a polytope in which every pair of vertices is connected by an… … Wikipedia
Simplicial polytope — A d dimensional simplicial polytope is a polytope whose facets are adjacent to exactly d ridges.They are topologically dual to simple polytopes. Polytopes which are bothsimple and simplicial are either simplices or two dimensional polygons.… … Wikipedia
