Lassak's Area Bound for Reduced Planar Bodies
Statement
Lassak conjectured that a reduced planar convex body of thickness has area at most , the value for the disc. False: an explicit reduced body of thickness has area , given by a closed-form support function.
Record
Comments
No person has examined this. Nothing here has been checked at all. say whether it holds →
construction · #1
Scott Duke Kominers, using GPT-5.5 Pro, Claude Opus 4.8That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.
The acknowledgement credits the models with assisting the computations and coding in preparing the article, without separating which step came from where, so the lowest tier applies.
Recorded elsewhere on #1 · not checked here
recorded: correctVibeMathed site checkscope Reproduction by the VibeMathed site
The counterexample is given by an explicit support function with the area stated to six decimal places, so the refutation reduces to evaluating a closed-form integral. Single-author arXiv preprint, not peer-reviewed.
Repeated from the source; nothing was checked here.
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