Abstract
Our knowledge about 3-polytopes far exceeds our knowledge of higher-dimensional polytopes. This may be explained in part by the ‘experimental accessibility’ of 3-polytopes and the fact that the research of their properties goes back to antiquity. A deeper reason is that, from many combinatorial points of view, 3-polytopes may be replaced by planar graphs. The various techniques of graph theory are therefore applicable to the study of 3-polytopes.
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© 2003 Springer Science+Business Media New York
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Grünbaum, B. (2003). 3-Polytopes. In: Kaibel, V., Klee, V., Ziegler, G.M. (eds) Convex Polytopes. Graduate Texts in Mathematics, vol 221. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0019-9_13
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DOI: https://doi.org/10.1007/978-1-4613-0019-9_13
Publisher Name: Springer, New York, NY
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