Polytopes Bibliography (5/25/2001; updated, 2007)

Prepared by:
Joseph Malkevitch
Mathematics and Computing Department
York College (CUNY)
Jamaica, New York 11451-0001

Email: malkevitch@york.cuny.edu (for additions, suggestions, and corrections)

Alexandrov, A., Convex Polyhedra, Springer, New York, 2005.

Bisztriczky, R., et al (eds.), Polytopes: Abstract, Convex and Computational, Kluwer, Dordrecht, 1994.

Boltyanskii, V., Equivalent and Equidecomposable Figures, D. C. Heath, Boston, 1963.

Boltyanskii, V., Hilbert's Third Problem, Wiley, New York, 1978.

Brondsted, A., An Introduction to Convex Polytopes, Springer-Verlag, New York, 1983.

Brückner, M., Vielecke und Vielflache, Theorie und Geschicte, Teubner, Leipzig, 1900.

Coxeter, H., Regular Polytopes, (3rd. ed.), Dover, 1973.

Coxerter, H., Regular Complex Polytopes, Cambridge U. Press, New York, 1974.

Cromwell, P., Polyhedra, Cambridge U. Press, New York, 1997.

Cundy, H., and A. Rollett, Mathematical Models, (2nd ed.), Oxford U. Press, New York, 1961.

Federico, P., Descartes on Polyhedra, Springer-Verlag, New York, 1982.

Fejes Toth, L., Regular Figures, Pergamon, Oxford, 1964.

Goodman, J., and J. O'Rourke, (eds.), Handbook of Discrete and Computational Geometry, CRC Press, New York, 1997.

Gruber, P., and J. Wills, Handbook of Convex Geometry, Volumes A and B, North-Holland, Amsterdam, 1993.

Grünbaum, B., Convex Polytopes, Wiley, 1967. (New edition 2005).

Johnson, N., Uniform Polytopes, Cambridge U. Press, New York, (to appear).

Kalai, G. and G. Ziegler, (eds.), Polytopes-Combinatorics and Computaton, Birkhauser Verlag, Basel, 2000.

Lyusternik, L., Convex Figures and Polyhedra, translator T. Smith, Dover, New York, 1963.

Lyusternik, L., Convex Figures and Polyhedra, translator D. Barnett, D. C. Heath, Boston, 1966.

McMullen, P. and G. Shephard, Convex Polytopes and the Upper Bound Conjecture, Cambridge U. Press, Cambridge, l971.

Richter-Gebert, J., Realization Spaces of Polytopes, Lecture Notes in Mathematics, Volume 1643, Springer-Verlag, New York, 1997.

Robertson, S., Polytopes and Symmetry, Cambridge U. Press, Cambridge, .

Steinitz, E. and H. Rademacher, Vorlesungen uber die Theorie der Polyeder, Springer-Verlag, Berlin, 1934.

Wiener, C., Über Vielecke und Vielflache, Leipzig, 1864.

Yemelichev, V. and M. Kovalev, M. Kravtsov, Polytopes, Graphs, and Optimization, Cambridge U. Press, Cambridge, 1984.

Ziegler, G., Lectures on Polytopes, Springer-Verlag, New York, 1995, (new edition, 1998).

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