Article ID Journal Published Year Pages File Type
415457 Computational Geometry 2013 9 Pages PDF
Abstract

We present various methods that have reduced the finite set of missing geometric configurations (n4)(n4). We show that there is no geometric configuration (174)(174), and we provide examples for the former unknown cases n=18n=18, n=29n=29, n=31n=31 — there do exist geometric configurations (n4)(n4). To construct these we use methods from computer algebra and optimization.

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Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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