Book

Abstract Regular Polytopes (with P.McMullen),
Encyclopedia of Mathematics and its Applications, Volume 92,
Cambridge University Press (Cambridge - New York, 2002), 566 pp,
http://books.cambridge.org/0521814960.htm.

Articles

The graphicahedron (with G.Araujo-Pardo, M.Del R\'io-Francos, M.L\'opez-Dudet and D.Oliveros),
European Journal of Combinatorics (to appear).

Polytopes with groups of type PGL_2(q) (with D.Leemans),
Ars Mathematica Contemporanea 2 (2009), 163-171.

Regular polygonal complexes in space, I (with D.Pellicer),
Transactions American Mathematical Society (to appear).

A local characterization of combinatorial multihedrality in tilings (with N.Dolbilin),
Contributions to Discrete Mathematics 4 (2009), 1-11.

Modular reduction in abstract polytopes (with B.Monson),
Canadian Mathematical Bulletin 52 (3) (2009), 435--450.

Locally toroidal polytopes and modular linear groups (with B.Monson),
Discrete Mathematics (to appear).

Reflection groups and polytopes over finite fields, III (with B.Monson),
Advances in Applied Mathematics 41 (2008), 76-94.

Groups of type L_2(q) acting on polytopes (with D.Leemans),
Advances in Geometry 7 (2007), 529-539.

Semisymmetric graphs from polytopes (with B.Monson, T.Pisanski and A.Ivic Weiss),
Journal Combinatorial Theory, Series A, 114 (2007), 421-435.

Reflection groups and polytopes over finite fields, II (with B.Monson),
Advances in Applied Mathematics 38 (2007), 327-356.

Problems on polytopes, their groups, and realizations (with A.Ivic Weiss),
Periodica Mathematica Hungarica, (Special Issue on Discrete Geometry), 53 (2006), 231-255.

Petrie-Coxeter maps revisited (with I.Hubard and A.I.Weiss),
Contributions to Algebra and Geometry 47 (2006), 329-343.

Regular and chiral polytopes in low dimensions (with P.McMullen),
In The Coxeter Legacy - Reflections and Projections (eds. C.Davis and E.W.Ellers),
Fields Institute Communications, Volume 48, American Mathematical Society
(Providence, RI, 2006), 87-106.

Chiral polyhedra in ordinary space, II ,
Discrete & Computational Geometry 34 (2005), 181-229.

The Local Theorem for Monotypic Tilings (with N.Dolbilin),
Electronic Journal of Combinatorics 11(2) (2004/5), #R7 (19 pp).

Reflection groups and polytopes over finite fields, I (with B.Monson),
Advances in Applied Mathematics 33 (2004), 290-317.

Chiral polyhedra in ordinary space, I ,
Discrete & Computational Geometry 32 (2004), 55-99.

Polyhedral maps (with U.Brehm),
Chapter in Handbook of Discrete and Computational Geometry, Second Edition
(eds. J.E.Goodman and J.O'Rourke), Chapman & Hall/CRC (Boca Raton, 2004), 477-491.

Symmetry of polytopes and polyhedra,
Chapter in Handbook of Discrete and Computational Geometry, Second Edition
(eds. J.E.Goodman and J.O'Rourke), Chapman & Hall/CRC (Boca Raton, 2004), 431-454.

Combinatorial aperiodicity of polyhedral prototiles,
In Discrete Geometry: In Honor of W.Kuperberg's 60th Birthday (ed. A.Bezdek),
Marcel Dekker Inc. (New York, 2003), 397-406.

Locally unitary groups and regular polytopes (with P.McMullen),
Advances in Applied Mathematics 29 (2002), 1-45.

The mix of a regular polytope with a face (with P.McMullen),
Annals of Combinatorics 6 (2002), 77-86.

Note: These publications are in the form of the final revised manuscript, before any
final correction of page-proofs. For the finished version, please check the actual journal
article.

Last modified on October 14, 2009.