Open problems on k-orbit polytopes

被引：10
|
作者：
Cunningham, Gabe [1 ]
Pellicer, Daniel [2 ]
机构：
[1] Univ Massachusetts, Boston, MA 02125 USA
[2] Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, Mexico City, DF, Mexico
来源：
DISCRETE MATHEMATICS | 2018年 / 341卷 / 06期
关键词：
Rooted abstract polytope; Operation on k-orbit polytopes; Realization of k-orbit polytopes; REGULAR POLYTOPES; ORDINARY SPACE; CHIRAL POLYHEDRA; MONODROMY GROUP; MAPS; REALIZATIONS; SYMMETRY;
D O I：
10.1016/j.disc.2018.03.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present 35 open problems on combinatorial, geometric and algebraic aspects of k-orbit abstract polytopes. We also present a theory of rooted polytopes that has appeared implicitly in previous work but has not been formalized before. (C) 2018 Elsevier B.V. All rights reserved.
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页码：1645 / 1661
页数：17
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