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Research reveals optimal methods for measuring torsionful curvature using mixed area jets, suggesting efficient identification techniques.
Mixed area jets give the full torsionful curvature at a point. Radial line data cannot see curvature; only translated infinitesimal loops measure the curvature first jet. The derivative-area map has rank 6dimspan[Z∧(X∧Y)], so 20 hook slots are minimal. Four directions generate all 20 via their six pairwise loops. Tetrahedral null design is optimal.
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Hiroyuki Shioiri (2026) studied this question.
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