In geometry, the Gosset–Elte figures, named by Coxeter after Thorold Gosset and E. L. Elte, are a group of uniform polytopes which are not regular, generated...
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Rectified: tC5, tC8, tC16, tC24, tC120, tC600 Gosset–Elte figures Emanuël Lodewijk Elte at joodsmonument.nl Elte, E. L. (1912), The Semiregular Polytopes of...
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rediscovered by Elte in 1912 and later by H.S.M. Coxeter who gave both Gosset and Elte due credit. Coxeter introduced the term Gosset polytopes for three...
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3 21 polytope (redirect from Gosset 3 21 polytope)
List of E7 polytopes Gosset, 1900 Elte, 1912 Klitzing, (o3o3o3o *c3o3o3x - naq) Coxeter, Regular Polytopes, 11.8 Gosset figures in six, seven, and eight...
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vertex-transitive. Since Gosset, other authors have used the term semiregular in different ways in relation to higher dimensional polytopes. E. L. Elte provided a definition...
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2 21 polytope (redirect from Gosset 2 21 polytope)
2307/2371466. JSTOR 2371466. Elte, 1912 Klitzing, (x3o3o3o3o *c3o - jak). Coxeter, Regular Polytopes, 11.8 Gosset figures in six, seven, and eight dimensions...
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5-demicube (redirect from Gosset 1 21 polytope)
Thorold Gosset. Since it was the only semiregular 5-polytope (made of more than one type of regular facets), he called it a 5-ic semi-regular. E. L. Elte identified...
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4 21 polytope (redirect from Gosset 4 21 polytope)
List of E8 polytopes Gosset, 1900 Elte, 1912 Klitzing, (o3o3o3o *c3o3o3o3x - fy) Coxeter, Regular Polytopes, 11.8 Gossett figures in six, seven, and eight...
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Semiregular polytope (section Gosset's list)
In geometry, by Thorold Gosset's definition a semiregular polytope is usually taken to be a polytope that is vertex-transitive and has all its facets being...
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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, Messenger of Mathematics...
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Pick's theorem Jewish Theresienstadt Emanuel Lodewijk Elte 1881-1943 Dutch Gosset–Elte figures Jewish Sobibor Jean Cavaillès 1903–1944 French philosopher...
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1 32 polytope (redirect from Gosset 1 32 polytope)
Wayback Machine, Edward Pervin Elte, 1912 Klitzing, (o3o3o3x *c3o3o3o - lin) Coxeter, Regular Polytopes, 11.8 Gossett figures in six, seven, and eight dimensions...
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based on 5-cell, 8-cell/16-cell, and 24-cell. 1912: E. L. Elte independently expanded on Gosset's list with the publication The Semiregular Polytopes of...
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1 22 polytope (redirect from Gosset 1 22 polytope)
Bowers) List of E6 polytopes Elte, 1912 Klitzing, (o3o3o3o3o *c3x - mo) Coxeter, Regular Polytopes, 11.8 Gosset figures in six, seven, and eight dimensions...
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2 31 polytope (redirect from Gosset 2 31 polytope)
node. List of E7 polytopes Elte, 1912 Klitzing, (x3o3o3o *c3o3o3o - laq) Coxeter, Regular Polytopes, 11.8 Gossett figures in six, seven, and eight dimensions...
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2 41 polytope (redirect from Gosset 2 41 polytope)
shown. List of E8 polytopes Elte, 1912 Klitzing, (x3o3o3o *c3o3o3o3o - bay) Coxeter, Regular Polytopes, 11.8 Gossett figures in six, seven, and eight dimensions...
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discovered by Thorold Gosset in his 1900 paper. He called it a octicosahedric for being made of octahedron and icosahedron cells. E. L. Elte identified it in...
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discovered by Thorold Gosset in his 1900 paper. He called it a tetroctahedric for being made of tetrahedron and octahedron cells. E. L. Elte identified it in...
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cantellated 16-cell: Coxeter 1973, p. 154, §8.4. T. Gosset: On the Regular and Semi-Regular Figures in Space of n Dimensions, Messenger of Mathematics...
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1 42 polytope (redirect from Gosset 1 42 polytope)
space, represented by the symbol 152, and Coxeter-Dynkin diagram: . E. L. Elte (1912) excluded this polytope from his listing of semiregular polytopes,...
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