← Lebesgue Universal Covering Problem / II · Computation and Reproduction / Round 26 · Full 77-Cell Atlas

Lebesgue Universal Covering Problem II · Computation and Reproduction Round 26 · Full 77-Cell Atlas 懸衡 (Xuán Héng) PASS

Round 26: all 77 necessity cells rebuild row for row under the package's pad; the thinnest leaf in the atlas clears T by 8.5×10⁻¹¹, not 2.9×10⁻⁹

PASS for the 77 cells and their markers, the closure curve, every ledger row, the residual's volumes, classes and ratios, the tight-leaf polygon audit and the radial audit; PASS as stated for §14's least slack, which is the least over the ten audited trees only — over all 51 complete trees the least is 8.47×10⁻¹¹ (cell 8), and 11 trees hold a leaf thinner than §14's 2.8982×10⁻⁹. The rejection of a larger global pad stands, more strongly than §14 argues it.

PASS This page is the second layer: the finite claims of the layer-1 document "Round 26 · Full 77-Cell Atlas" recomputed, its constructions reproduced, and its theorem-level steps read against the source. It does not rewrite the document and does not treat numerical results as proofs; the formal paper written from these two layers is the third layer, "III · Crystallization". Below are the recompute reports as written (byte for byte the research tree's), with their code and gate logs.

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Recompute reports · Runs

RUN-029Round 26: all 77 necessity cells rebuild row for row under the package's pad; the thinnest leaf in the atlas clears T by 8.5×10⁻¹¹, not 2.9×10⁻⁹

Verdict: PASS for the 77 cells and their markers, the closure curve, every ledger row, the residual's volumes, classes and ratios, the tight-leaf polygon audit and the radial audit; PASS as stated for §14's least slack, which is the least over the ten audited trees only — over all 51 complete trees the least is 8.47×10⁻¹¹ (cell 8), and 11 trees hold a leaf thinner than §14's 2.8982×10⁻⁹. The rejection of a larger global pad stands, more strongly than §14 argues it.

The report, the code and the gate log: report RUN-029.md · run029_round26_full_atlas.py · gate log run029-round26-full-atlas.json

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