Contact-Ledger Reverse Generation, Mirror-Symmetric Multi-Link Curves, and a Degrees-of-Freedom Validity Test

Connections · Connections

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

“Increasing to seven segments does not yield further improvement; the added parameters largely degenerate into nearly parallel sub-segments… the currently effective degrees of freedom are not the ‘number of segments,’ but rather: whether a new, independent, movable vertex can be added; whether the lowest-phase branch can be raised; whether endpoint and interior contacts can be reassigned without creating a new, more easily placed phase; and whether multiple local minima can be raised simultaneously.” — excerpted from Section 6, “Degrees-of-Freedom Validity Determination,” of this package's main document.

Core Content of Round 3

The contact-ledger reverse-generation method, the exact containment-kernel formula, a comparison of results across three-, five-, and seven-link curves, the degrees-of-freedom validity determination, the discovery of a four-contact skeleton with double-endpoint contact on the hypotenuse, contact-pressure entropy, and the design of the next round's phase-branch ledger.

Files · Files

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