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arxiv: 2110.04324 · v2 · pith:I4PTPCUW · submitted 2021-10-08 · math.MG

A new and simple proof of the false centre theorem

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keywords centrefalseproofsimpletheoremwork
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We present in this work a new and simple proof of the false centre theorem.

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  1. On Bezdek's conjecture for high-dimensional convex bodies with an aligned center of symmetry

    math.MG 2025-01 unverdicted novelty 7.0

    Proves Bezdek's conjecture in dimensions n≥3 for convex bodies with aligned center of symmetry, assuming sections through a fixed point have reflection axes whose complementary invariant subspaces are parallel to a fi...