Controlled same-surface reparameterization experiments on a torus testing whether chart distortion predicts discrete mean-curvature error. Includes a white-paper script, falsification suite, plots, and diagnostics based on area density and metric conditioning under fixed periodic finite-difference stencils.
reproducible-research computational-geometry differential-geometry numerical-methods finite-differences torus error-analysis parameterization mean-curvature mesh-quality surface-discretization
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Updated
Apr 6, 2026 - Python