six-dimensional geometry, a runcinated 6-simplex is a convex uniform 6-polytope constructed as a runcination (3rd order truncations) of the regular 6-simplex. There...
12 KB (529 words) - 00:37, 29 June 2024
In seven-dimensional geometry, a runcinated 7-simplex is a convex uniform 7-polytope with 3rd order truncations (runcination) of the regular 7-simplex...
14 KB (511 words) - 22:41, 27 April 2018
and cantellations. Runcinated hexateron Small prismated hexateron (Acronym: spix) (Jonathan Bowers) The vertices of the runcinated 5-simplex can be most...
9 KB (409 words) - 04:20, 4 April 2023
Runcinated enneazetton Small prismated enneazetton (Acronym: spene) (Jonathan Bowers) The Cartesian coordinates of the vertices of the runcinated 8-simplex...
9 KB (353 words) - 04:44, 4 April 2023
series in 1900 as containing all regular polytope facets, containing all simplexes and orthoplexes (equilateral triangles and squares in the case of the...
18 KB (1,515 words) - 10:24, 3 May 2024
hyperplane is a runcinated 5-cell. This cross-section divides the stericated hexateron into two pentachoral hypercupolas consisting of 6 5-cells, 15 tetrahedral...
19 KB (1,044 words) - 04:14, 4 April 2023
Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBNÂ 978-0-471-01003-6 [1] (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math...
11 KB (257 words) - 21:41, 13 September 2024
series in 1900 as containing all regular polytope facets, containing all simplexes and orthoplexes (tetrahedrons and octahedrons in the case of the rectified...
12 KB (901 words) - 09:56, 24 September 2024
unless it is all 5 vertices. It is impossible to rotate two concentric 4-simplexes with respect to each other such that some, but not all, of their vertices...
129 KB (14,415 words) - 16:24, 2 October 2024
polyhedron, {4,6|3}, is similarly related to the square faces of the runcinated 5-cell. The disphenoidal 30-cell is the dual of the bitruncated 5-cell...
21 KB (1,295 words) - 11:22, 2 October 2024