4-polytope - Wikipedia
In geometry, a 4-polytope (sometimes also called a polychoron, [1] polycell, or polyhedroid) is a four-dimensional polytope. [2] [3] It is a connected and closed figure, composed of lower-dimensional polytopal elements: vertices, edges, faces …
Regular 4-polytope - Wikipedia
In mathematics, a regular 4-polytope or regular polychoron is a regular four-dimensional polytope. They are the four-dimensional analogues of the regular polyhedra in three dimensions and the regular polygons in two dimensions.
Uniform 4-polytope - Wikipedia
In geometry, a uniform 4-polytope (or uniform polychoron) [1] is a 4-dimensional polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons. There are 47 non- prismatic convex uniform 4-polytopes.
Polychoron - Simple English Wikipedia, the free encyclopedia
In geometry, a polychoron (plural: polychora) is a figure in four dimensions. The word comes from Greek poly, which means many and choros which means room, or space. Sometimes the figure is called 4-polytope or polyhedroid.
Regular Polychoron -- from Wolfram MathWorld
2024年11月21日 — The necessary condition for the polychoron to be regular (with Schläfli symbol {p,q,r}) and finite is cos(pi/q)<sin(pi/p)sin(pi/r). Sufficiency can be established by consideration of the six figures satisfying this condition.
Polytope -- from Wolfram MathWorld
2024年11月21日 — The special name polychoron is sometimes given to a four-dimensional polytope. However, in algebraic topology , the underlying space of a simplicial complex is sometimes called a polytope (Munkres 1991, p. 8).
Polychoron -- from Wolfram MathWorld
2024年11月21日 — From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/Polychoron.html. A polytope in four dimensions. Polychora are bounded by polyhedra.
Category 1: Regular Polychora - polytope.net
This polychoron is the simplest one, it has 5 tets for it's cells and has 5 verts (vertices). Its verf (vertex figure) is also a tet. It obviously has 5 pieces in one type, LOC = 1.
Regular polychoron - Polytope Wiki
A regular polychoron is a polychoron whose flags are identical under its symmetry group. In 4D Euclidean space, there are 16 finite regular polychora and 1 honeycomb that are not skew, and an unknown number of additional regular polychora that are skew.
布林德多胞体(Blind polychoron)，由正多面体组成非正的四维多 …
布林德多胞体(Blind polychoron)，由正多面体组成非正的四维多胞体。