2004/05/14 by Michel Deza, Deza, Michel, Mathieu Dutour +1
Mathematics · #52B05 #52B10 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:52B05 #msc:52B10
paper · pdf · doi:10.48550/arxiv.math/0405279
19 pages, 3 figures, 7 tables
arxiv created 2004/05/14 · arxiv updated 2009/12/01
Inspired by Coxeter's notion of Petrie polygon for d-polytopes (see \citeCox73), we consider a generalization of the notion of zigzag circuits on complexes and compute the zigzag structure for several interesting families of d-polytopes, including semiregular, regular-faced, Wythoff Archimedean ones, Conway's 4-polytopes, half-cubes, folded cubes. Also considered are regular maps and Lins triality relations on maps.