simple polytope
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Simple polytope — In geometry, a d dimensional simple polytope is a polytope each of whose vertices is adjacent to exactly d edges.They are topologically dual to simplicial polytopes. The family of polytopes which are bothsimple and simplicial are simplices or two … Wikipedia
Polytope convexe — Ensemble convexe Pour les autres sens du mot « convexe », voir convexité. Un objet géométrique est dit convexe lorsque, chaque fois qu on y prend deux points A et B, le segment [A,B] qui les joint y est entièrement contenu. Ainsi… … Wikipédia en Français
Polytope — Un polytope en dimension 3 Le terme polytope admet plusieurs définitions au sein des mathématiques. Principalement car les usages diffèrent en quelques points selon les pays, mais l usage américain ayant tendance à s imposer, on se retrouve… … Wikipédia en Français
Convex polytope — A 3 dimensional convex polytope A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n dimensional space Rn.[1] Some authors use the terms convex polytope and convex… … 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
Gosset 4 21 polytope — The Gosset 421 polytope is an 8 dimensional semiregular uniform polytope composed of 17,280 7 simplex and 2,160 7 orthoplex facets.It was discovered by Thorold Gosset, who described it in his 1900 paper as an 8 ic semi regular figure. It is the… … Wikipedia
An Exceptionally Simple Theory of Everything — is a preprint proposing a basis for a unified field theory, named E8 Theory , which attempts to describe all known fundamental interactions in physics, and to stand as a possible theory of everything. The preprint was posted to the physics arXiv… … 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
Théorie du tout exceptionnellement simple — Représentation visuelle du polytope E8, une manifestation de la structure de E8 Une théorie du Tout exceptionnellement simple (An Exceptionally Simple Theory of Everything en anglais) est le titre d un article du physicien Antony Garrett Lisi… … Wikipédia en Français
Théorie du Tout exceptionnellement simple — Représentation visuelle du polytope E8, une manifestation de la structure de E8 Une théorie du Tout exceptionnellement simple (An Exceptionally Simple Theory of Everything en anglais) est le titre d un article du physicien Antony Garrett Lisi… … Wikipédia en Français
List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… … Wikipedia