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cs.CE2026
Sloan's Analytical Gömböc at Published : A Strict-Convexity-Constrained Reanalysis
Vincent Wesley Couey
Varkonyi and Domokos (2006) proved that convex homogeneous bodies with exactly one stable and one unstable equilibrium point exist. Sloan (2023) gave the first analytical parameter…
cs.CE2026
Computational Validation of the Oloid as a Local Optimum in the Developable Roller Family
Vincent Wesley Couey
Many engineering failures (thermal hotspot concentration, Hertz contact fatigue localization, boundary-layer loss, mixing dead zones) are geometric failure modes: changing the mate…
cs.CE2026
Computational Construction and Engineering Evaluation of Verified Mono-Monostatic Bodies
Vincent Wesley Couey
Many engineering failures in orientation-dependent systems are geometric failure modes: changing the geometry can eliminate what changing the material merely delays. The mono-monos…