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  1. triangle-square-hexagon-statics triangle-square-hexagon-statics Public

    Can statics alone solve these three frames? One integer decides. Reproduces m + r - 2j from the geometry, cross-checked against a stiffness null space and an equilibrium-matrix rank.

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  2. bracket-shape-vs-collapse-load bracket-shape-vs-collapse-load Public

    Four steel brackets, one design domain, the same number of cells of metal - a sharp corner, a rounded one, a gusset, and a topology-optimised shape - pulled until they collapse.

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  3. soil-resonance-vs-tower-collapse soil-resonance-vs-tower-collapse Public

    The calmest ground broke the tower first: one tower, one earthquake, four grounds. Site period, not peak acceleration, decides.

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  4. four-towers-one-rising-earthquake four-towers-one-rising-earthquake Public

    Four 40 m towers built from the same 2.00 m3 of steel, shaken by one record turned up step by step until each collapses. Incremental dynamic analysis, JMA intensity, one gate deliberately failing a…

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  5. same-earthquake-different-speed same-earthquake-different-speed Public

    Four towers, four earthquakes of identical size (same peak ground velocity, same number of cycles). Only the frequency changes. A 0.04 g shake destroys a tower; 0.34 g breaks nothing.

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