Chiral polytope

In mathematics, a polytope P is chiral if it has two orbits of flags under its group of symmetries, with adjacent flags in different orbits.

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Monson, B., Pisanski, T., Schulte, E., and Ivić Weiss, A. 2007. Semisymmetric graphs from polytopes. J. Comb. Theory Ser. A 114, 3 (Apr. 2007), 421-435. DOI=http://dx.doi.org/10.1016/j.jcta.2006.06.007
Hubard, I. and Weiss, A. I. 2005. Self-duality of chiral polytopes. J. Comb. Theory Ser. A 111, 1 (Jul. 2005), 128-136. DOI= http://dx.doi.org/10.1016/j.jcta.2004.11.012
Conder, M., Hubard, I., and Pisanski, T. Constructions for chiral polytopes, J. London Math. Soc. 77 (2008) 115-129.
Monson, B., Ivić Weiss, A., Cayley Graphs and Symmetric 4-Polytopes, Ars Mathematica Contemporanea 1 (2008) 185–205.

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