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arxiv: 1311.1558 · v1 · pith:MFJYTSZ4new · submitted 2013-11-07 · 🧮 math.CO

A finite chiral 4-polytope in mathbb{R}⁴

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keywords chiralpolytopeexamplefinitespacecounterexampleeuclideangive
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In this paper, we give an example of a chiral 4-polytope in projective 3-space. This example naturally yields a finite chiral 4-polytope in Euclidean 4-space, giving a counterexample to Theorem 11.2 of [2].

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