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On Recent Progress in Computational Synthetic Geometry

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Polytopes: Abstract, Convex and Computational

Part of the book series: NATO ASI Series ((ASIC,volume 440))

Abstract

Computational Synthetic Geometry deals with methods for realizing abstract geometric objects in concrete vector spaces. A general method how to accomplish realizations can be subdivided into three major problem steps. Recent results representing typical ways to tackle these problems deal; for example, with pseudoline arrangements, immersions of 2-manifolds, equifacetted simple tilings of 3-spheres, non-polytopal uniform matroid polytopes, neighborly spatial polyhedra, or the cube problem of Las Vergnas

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Bokowski, J. (1994). On Recent Progress in Computational Synthetic Geometry. In: Bisztriczky, T., McMullen, P., Schneider, R., Weiss, A.I. (eds) Polytopes: Abstract, Convex and Computational. NATO ASI Series, vol 440. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0924-6_15

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  • DOI: https://doi.org/10.1007/978-94-011-0924-6_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4398-4

  • Online ISBN: 978-94-011-0924-6

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