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IRIS Conjecture 6.1 on Simple 3-Polytopes

Geometry & topology · disproved

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Statement

For a simple 33-polytope with at least three faces of size at least 77, must p6≥3920+p32−p54−∑k≥7pkp_6 \ge \frac{39}{20} + \frac{p_3}{2} - \frac{p_5}{4} - \sum_{k \ge 7} p_k? Five minimal ten-face counterexamples refute the printed inequality.

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. construction · #1

    Demonstrandum multi-agent pipeline

    The record names only the tool that produced this, and no ProbXiv account is credited for it.

    AI involvement
    ai discovered
    — the result was found by a model.

    Found by the Demonstrandum multi-agent pipeline; every refutation ships a finite certificate, a mutation-tested checker, and an independent clean-room recomputation.

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