The Roman Dodecahedron_ An Integrated Forensic Diagnostic Brief.mp4

Video Abstract: The Roman Dodecahedron Engine – Kinematic Stepping and Aeroacoustic Dynamics Resource Type: Video/Audio Description / Abstract: This video abstract presents the core physical and kinematic mechanics of the Gallo-Roman dodecahedron modeled as an autonomous, aerodynamically driven kinetic engine. It accompanies the diagnostic brief The Roman Dodecahedron Engine: An Integrated Forensic Diagnostic Brief (Version 3.0) and subsequent technical addenda. The presentation synthesizes the 56-pillar empirical parameter space, demonstrating: Asymmetric Fluidic Diode Mechanics: Opposing aperture area differentials drive internal cavity pressurization and high-velocity leeward micro-jet thrust ($U_{\text{jet}} \approx 3.0\text{--}3.5 \cdot V_\infty$). Dynamic Lift Unweighting: Forward pentagonal facets canted at $63.4^\circ$ deflect incident airflow upward, generating vertical lift that offsets normal resting weight and minimizes substrate friction. The 4-Stage Kinematic Stepping Cycle: Sequential progression through Tripod Rest, Dihedral Lift, Ballistic Kick, and Nodular Catch, lowering the required sustained operational wind floor to $V_{\text{crit}} \approx 2.0\text{--}2.8\text{ m/s}$ (Beaufort Scale 2). Aeroacoustic Heterophony: Dynamic phase-coupling between windward $460\text{ Hz}$ multi-port Helmholtz cavity resonance and leeward jet-edge turbulence. This media item serves as an open-science visual reference for independent numerical replication, computational fluid dynamics (CFD) modeling, and experimental wind-tunnel validation. Author: Christopher M. T. Lynch ORCID: 0009-0003-9253-1000