chiral polytopes
Recently Published Documents


TOTAL DOCUMENTS

22
(FIVE YEARS 3)

H-INDEX

8
(FIVE YEARS 0)

2021 ◽  
Vol 569 ◽  
pp. 713-722
Author(s):  
Marston D.E. Conder ◽  
Yan-Quan Feng ◽  
Dong-Dong Hou


Author(s):  
Gabe Cunningham ◽  
Daniel Pellicer
Keyword(s):  


Author(s):  
Francis Buekenhout ◽  
Dimitri Leemans ◽  
Philippe Tranchida


2019 ◽  
Vol 18 (11) ◽  
pp. 1950203
Author(s):  
Wei-Juan Zhang

To determine if a poset of type [Formula: see text] is a directly regular or chiral polytope, it is necessary to test whether or not its rotation group (as a quotient of the orientation-preserving subgroup of the Coxeter group [Formula: see text]) satisfies the so-called intersection condition of chiral form. However, due to the fact that many cases need to be checked, this process is often very tedious and takes much time. In this paper, under certain circumstances, we give some simplifications for checking the intersection condition, which leads to certain constructions for directly regular or chiral polytopes.



10.37236/7070 ◽  
2017 ◽  
Vol 24 (3) ◽  
Author(s):  
Gabe Cunningham

An abstract polytope is flat if every facet is incident on every vertex. In this paper, we prove that no chiral polytope has flat finite regular facets and finite regular vertex-figures. We then determine the three smallest non-flat regular polytopes in each rank, and use this to show that for $n \geq 8$, a chiral $n$-polytope has at least $48(n-2)(n-2)!$ flags.



2017 ◽  
Vol 478 ◽  
pp. 437-457 ◽  
Author(s):  
Marston D.E. Conder ◽  
Wei-Juan Zhang


2017 ◽  
Vol 108 (2) ◽  
pp. 675-702
Author(s):  
Dimitri Leemans ◽  
Jérémie Moerenhout ◽  
Eugenia O’Reilly-Regueiro


2014 ◽  
Vol 330 ◽  
pp. 51-60 ◽  
Author(s):  
Gabe Cunningham ◽  
Daniel Pellicer
Keyword(s):  


Author(s):  
Isabel Hubard ◽  
Dimitri Leemans


Sign in / Sign up

Export Citation Format

Share Document