The Gosset graph, named after Thorold Gosset, is a specific regular graph (1-skeleton of the 7-dimensional 321 polytope) with 56 vertices and valency 27...

Schläfli graph and its complement. The proof relies on the classification of finite simple groups. Gosset graph - contains the Schläfli graph as an induced...

various individual (finite) graphs. The columns 'vertices', 'edges', 'radius', 'diameter', 'girth', 'P' (whether the graph is planar), χ (chromatic number)...

drawn on this projection. The 1-skeleton of the 321 polytope is the Gosset graph. This polytope, along with the 7-simplex, can tessellate 7-dimensional...

new and more precise definition of the Gosset Series of polytopes has been given by Conway in 2008. Gosset graph Scott Vorthmann with David Richter in...

with the Gosset polytopes: 221, 321, and 421. The graph formed by the vertices and edges of the demipenteract is sometimes called the Clebsch graph, though...

MathWorld. Weisstein, Eric W. "120-cell graph". MathWorld. Weisstein, Eric W. "600-cell graph". MathWorld. Weisstein, Eric W. "Gosset graph 3_21". MathWorld....

constructed within the symmetry of the E8 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it an 8-ic semi-regular figure....

polytope is constructed vertex figure of the previous polytope. Thorold Gosset identified this series in 1900 as containing all regular polytope facets...

[[31,2,1]] [32,2,1] [33,2,1] [34,2,1] [35,2,1] [36,2,1] Order 12 120 384 51,840 2,903,040 696,729,600 ∞ Graph - - Name 2−1,1 201 211 221 231 241 251 261...

bifurcated graph with a central node ringed. Coxeter named these figures as ki,j (or kij) in shorthand and gave credit of their discovery to Gosset and Elte:...

from the original on September 30, 2024. Retrieved September 30, 2024. Gosset, Brian (July 10, 2017). "Colleyville Heritage's Bobby Witt makes 18U National...

David Gosset (born May 23, 1970) is a global affairs analyst in international relations and sinologist. He established the Europe-China Forum, New Silk...

Things, ISBN 978-1-56881-220-5 (Chapter 26. pp. 409: Hemicubes: 1n1) T. Gosset (1900) On the Regular and Semi-Regular Figures in Space of n Dimensions...

1] [[32,2,1]] [33,2,1] [34,2,1] [35,2,1] [36,2,1] Order 12 120 1,920 103,680 2,903,040 696,729,600 ∞ Graph - - Name 1−1,2 102 112 122 132 142 152 162...

of Lie theory, a Dynkin diagram, named for Eugene Dynkin, is a type of graph with some edges doubled or tripled (drawn as a double or triple line). Dynkin...

also known as Student's t-distribution, gets its name from William Sealy Gosset, who first published it in English in 1908 in the scientific journal Biometrika...

constructed within the symmetry of the E6 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it an 6-ic semi-regular figure....

demihypercube form two copies of the halved cube graph. An n-demicube has inversion symmetry if n is even. Thorold Gosset described the demipenteract in his 1900...

Symmetry [3−1,3,1] [30,3,1] [[31,3,1]] = [4,3,3,3,3] [32,3,1] [33,3,1] [34,3,1] Order 48 720 46,080 2,903,040 ∞ Graph - - Name 31,-1 310 311 321 331 341...

Gosset 231 polytope Type Uniform 7-polytope Family 2k1 polytope Schläfli symbol {3,3,33,1} Coxeter symbol 231 Coxeter diagram 6-faces 632: 56 221 576 {35}...

Coxeter diagram Symmetry [3−1,3,1] [30,3,1] [31,3,1] [32,3,1] [[33,3,1]] [34,3,1] Order 48 720 23,040 2,903,040 ∞ Graph - - Name 13,-1 130 131 132 133 134...

1912 Klitzing, (o3o3o3o3o *c3x - mo) Coxeter, Regular Polytopes, 11.8 Gosset figures in six, seven, and eight dimensions, pp. 202–203 Coxeter, H. S....

regular honeycombs in the family since its Coxeter diagram a nonlinear graph, but the 222 and birectified 222 are isotopic, with only one type of facet:...

honeycomb is last in the series of k21 polytopes, enumerated by Thorold Gosset in 1900, listing polytopes and honeycombs constructed entirely of regular...

semiregular figures. Gosset named them by their dimension from 5 to 9, for example the 5-ic semiregular figure. The sequence as identified by Gosset ends as an...

orthographic projections Coxeter plane B5 B4 / D5 B3 / D4 / A2 Graph Dihedral symmetry [10] [8] [6] Coxeter plane B2 A3 Graph Dihedral symmetry [4] [4]...

Coxeter diagram Symmetry [3−1,3,1] [30,3,1] [31,3,1] [32,3,1] [[33,3,1]] [34,3,1] Order 48 720 23,040 2,903,040 ∞ Graph - - Name 13,-1 130 131 132 133 134...

[[31,2,1]] [32,2,1] [33,2,1] [34,2,1] [35,2,1] [36,2,1] Order 12 120 384 51,840 2,903,040 696,729,600 ∞ Graph - - Name 2−1,1 201 211 221 231 241 251 261...

polytopes: (Various definitions before Coxeter's uniform category) 1900: Thorold Gosset enumerated the list of nonprismatic semiregular convex polytopes with regular...