Zobrazeno 1 - 10
of 29
pro vyhledávání: '"120-cell"'
Akademický článek
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Autor:
Garrison, Anne, Scott, Richard
Publikováno v:
Proceedings of the American Mathematical Society, 2003 Mar 01. 131(3), 963-971.
Externí odkaz:
https://www.jstor.org/stable/1194501
Publikováno v:
Geom. Topol. 24, no. 5 (2020), 2647-2674
We exhibit the first examples of compact orientable hyperbolic manifolds that do not have any spin structure. We show that such manifolds exist in all dimensions $n \geq 4$. The core of the argument is the construction of a compact orientable hyperbo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65c72c057bef09f24245f0e48dbaab95
https://doi.org/10.2140/gt.2020.24.2647
https://doi.org/10.2140/gt.2020.24.2647
Autor:
Spencer Whitehead, Benoit Charbonneau
Publikováno v:
Communications in Computer and Information Science ISBN: 9783030412579
MC
MC
We describe a Maple package that serves at least four purposes. First, one can use it to compute whether or not a given polyhedral structure is Zometool constructible. Second, one can use it to manipulate Zometool objects, for example to determine ho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6161b5998ede0f33128e0ef178c7c988
https://doi.org/10.1007/978-3-030-41258-6_5
https://doi.org/10.1007/978-3-030-41258-6_5
Akademický článek
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Autor:
Jiming Ma, Fangting Zheng
Since there is no hyperbolic Dehn filling theorem for higher dimensions, it is challenging to construct explicit hyperbolic manifolds of small volume in dimension at least four. Here, we build up closed hyperbolic 4-manifolds of volume $\frac{34\pi^2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d983226ed0e6a85116e5b48cf95d232d
http://arxiv.org/abs/1801.08814
http://arxiv.org/abs/1801.08814
Autor:
Michel Deza, Viacheslav Grishukhin
Publikováno v:
Discrete Mathematics. :205-210
The edge-graphs of m -polygons and of 5 platonic solids admit (unique) isometric embedding into a half cube (of dimension m and 6, resp.). The skeletons of α n , β n , γ n are also l 1 -graphs but it was proved in Assouad (1991) that 24-cell and 6
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ac3add633e902a6edb61354138f3829
https://doi.org/10.1016/s0012-365x(96)00169-0
https://doi.org/10.1016/s0012-365x(96)00169-0
Autor:
Henry Segerman, Saul Schleimer
We introduce Quintessence: a family of burr puzzles based on the geometry and combinatorics of the 120-cell. We discuss the regular polytopes, their symmetries, the dodecahedron as an important special case, the three-sphere, and the quaternions. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c55c8ff293498eb4d8b66ee70b7ef8a3
Autor:
Wendy Myrvold, Amit Sethi, Michel Deza, Jennifer Woodcock, Patrick W. Fowler, Joseph Whitney, Sean Debroni, Erin Delisle, Benoit de La Vaissiere
Publikováno v:
Ars mathematica contemporanea
A d -code in a graph is a set of vertices such that all pairwise distances are at least d . As part of a study of d -codes of three-and four-dimensional regular polytopes, the maximum independent set order of the 120 -cell is calculated. A linear pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37f528986b49587d1847a0cbb2ff6edf
http://www.dlib.si/details/URN:NBN:SI:doc-QU12DEC4
http://www.dlib.si/details/URN:NBN:SI:doc-QU12DEC4
Autor:
Matthew Marken, John E. Wetzel
Publikováno v:
Journal of Geometry. 45:114-120
In 1971, Branko Grunbaum noted that the projectived-arrangements formed by including with the facet hyperplanes of a regular polytope in Ed some of its hyperplanes of mirror symmetry and possibly the hyperplane at infinity might be expected to be sim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06b6a488f38e77feb8494f8c105e3739
https://doi.org/10.1007/bf01225770
https://doi.org/10.1007/bf01225770