Support-Skew Linear Programming, Finite-Curve Pressure, and the First Adversarial Search

Connections · Connections

Relationship to other packages, stated as far as possible in the document's own words, not my interpretation.

“At fixed phase, the translation term occupies only the Fourier expansion's first-order sine and cosine modes… what actually stresses the container is the higher-order peaks that persist after translation — corresponding to the corners and long edges of the curve's convex hull and its asymmetric structure, mismatches between the container's normal sectors and the curve's normal sectors, and jumps in the optimal contact set. This carries more research information than simply recording whether the curve ‘fits.’” — excerpted from Section 4, “Preliminary Structural Findings,” of this package's main document.

Core Content of Round 1

Full formulation of both linear programs; three benchmark containers (a disk, a 30° sector, and the certified Wetzel triangle); critical-scale ranking of the 35 candidate curves; results from 5 generations of adversarial search; preliminary structural findings; and 5 candidate directions for the next round.

Files · Files

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