Paper 17: Artwork "Cut & Build": Axiom-Constrained Cutting and the Structural Line of the E=mc Thought Principle

This paper documents, for the first time in the E=mc Thought Principle paper series, thesculptural practice Cut & Build: a series of wooden sculptures produced under two formalaxioms — that every cut passes through the board’s center of gravity, and that reassembly occursat the cut face — which together generate non-uniform structural outcomes from uniformmaterial. Four works produced under these axioms in 2026 are documented and analyzed. Thecentral finding concerns Works 2 and 3: produced under identical axioms at identical angles,they yielded different classes of outcome — one exhibiting a reciprocal 120° relationshipbetween the resulting forms, the other exhibiting no such relationship at all. This paper treats thatdivergence not as inconsistency but as evidence that the axioms, however precisely followed,leave a residue not determined by the axioms themselves. The paper does not extend itsargument to other theoretical or historical frameworks; it establishes Cut & Build as adocumented reference point — a formal statement of its axioms, a record of outcomes, and anhonest account of what that documentation can and cannot support — for later papers in theseries to draw on. The supplementary file is a full-page capture of the archive website (https://katsith-emc.github.io/cut-and-build/) as of 2026-08-10.