Geodesic
Constructions of Chiral Polytopes of Small Rank
Canadian journal of mathematics, Tome 63 (2011) no. 6, pp. 1254-1283

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DOI

An abstract polytope of rank $n$ is said to be chiral if its automorphism group has precisely two orbits on the flags, such that adjacent flags belong to distinct orbits. This paper describes a general method for deriving new finite chiral polytopes from old finite chiral polytopes of the same rank. In particular, the technique is used to construct many new examples in ranks 3, 4, and 5.
DOI : 10.4153/CJM-2011-033-4
Mots-clés : 51M20, 52B15, 05C25, abstract regular polytope, chiral polytope, chiral maps 
D’Azevedo, Antonio Breda; Jones, Gareth A.; Schulte, Egon. Constructions of Chiral Polytopes of Small Rank. Canadian journal of mathematics, Tome 63 (2011) no. 6, pp. 1254-1283. doi: 10.4153/CJM-2011-033-4
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     title = {Constructions of {Chiral} {Polytopes} of {Small} {Rank}},
     journal = {Canadian journal of mathematics},
     pages = {1254--1283},
     year = {2011},
     volume = {63},
     number = {6},
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