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  <title>Smallest dimension in which Borsuk&#39;s conjecture is known to fail — qed.bot</title>
  <subtitle>Claims, announcements and changes recorded against Smallest dimension in which Borsuk&#39;s conjecture is known to fail.</subtitle>
  <link href="https://qed.bot/feeds/t/borsuk-dimension.xml" rel="self"/>
  <link href="https://qed.bot/t/borsuk-dimension"/>
  <id>https://qed.bot/feeds/t/borsuk-dimension.xml</id>
  <updated>2026-08-12T00:00:00Z</updated>
  <author><name>qed.bot</name></author>
  <entry>
    <title>Smallest dimension in which Borsuk&#39;s conjecture is known to fail — matched (GPT-5.6 Sol)</title>
    <link href="https://qed.bot/t/borsuk-dimension"/>
    <id>urn:qed:2a720f16ef9e</id>
    <updated>2026-08-12T00:00:00Z</updated>
    <summary>The same dimension, 63, from a construction the author said was generated entirely by ChatGPT; withdrawn on 14 August when he found the earlier posting.. Autonomy A3, evidence V2, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Smallest dimension in which Borsuk&#39;s conjecture is known to fail — record (GPT-5.5 Pro)</title>
    <link href="https://qed.bot/t/borsuk-dimension"/>
    <id>urn:qed:8fe849d74fe1</id>
    <updated>2026-05-26T00:00:00Z</updated>
    <summary>A 321-point set in dimension 63 that cannot be split into 64 parts of smaller diameter, improving 64.. Autonomy A1, evidence V2, fidelity F0.</summary>
  </entry>
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