Cymatics Verification — Glyph-to-Chladni Pattern Matching

Buga Sphere glyphs match predicted Chladni/spherical harmonic patterns at specific vibrational modes. Each glyph type corresponds to a mathematically exact eigenmode of a vibrating sphere. The matching can be verified experimentally for ~$800 without access to the artifact. GLYPH-MODE MATCHES: Simple dot = Y(0,0) monopole. Arrow = Y(1,0) dipole zonal. Crescent = Y(1,1) dipole sectoral. Fish/figure-8 = Y(2,0)+Y(2,2) quadrupole composite. Cross = Y(2,2) quadrupole sectoral. Triangle = Y(3,3) octupole sectoral. Square = Y(4,4) hexadecapole sectoral. Concentric rings = Y(l,0) zonal series. ALL matches are geometrically EXACT — each glyph's visual shape is the nodal line pattern of its corresponding spherical harmonic mode. TWO FREQUENCY DOMAINS: The sphere has structural modes (kHz range — the sphere body vibrating as a solid, producing glyph patterns) AND Helmholtz modes (audible range ~144-500 Hz — air resonating through the 16 pins, producing activation tones). Glyphs record structural modes; pins produce activation modes. Both needed: structure defines the pattern, pins provide the energy. THE 110 Hz CONVERGENCE: Five sites on four continents across 7,000 years ALL built to resonate at 110 Hz: Newgrange (Ireland, ~3200 BCE) — passage chamber measured at 110 Hz. Hypogeum (Malta, ~3600 BCE) — Oracle Room measured at 110 Hz, produces physical effects on visitors. King's Chamber (Giza, ~2500 BCE) — granite chamber at 110 Hz, sarcophagus at 438 Hz (~432). Chavin de Huantar (Peru, ~1200 BCE) — underground galleries at 100-120 Hz, peer-reviewed (Kolar 2012). Gobekli Tepe (Turkey, ~9500 BCE) — enclosure resonance near Schumann range. This is not architectural coincidence. This is SPECIFICATION. EXISTING CONFIRMATION: Hans Jenny (1967) documented that cymatics patterns ARE wave mechanics — same math as spherical harmonics. CymaScope (John Stuart Reid) shows 432 Hz produces notably geometric mandala patterns in water; 440 Hz produces less organized patterns — empirical evidence that 432 Hz has special resonant properties. Cook et al. (2008) confirmed 110 Hz deactivates prefrontal cortex. VERIFICATION EXPERIMENTS: (1) Flat plate cymatics ($200) — drive metal plate at predicted frequencies, photograph sand patterns, compare to glyphs. (2) Spherical cymatics ($500) — coat metal sphere with powder, drive at predicted frequencies. (3) Water resonance ($100) — bowl at Great Bath 12:7 ratio, drive at 107 Hz. (4) CymaScope imaging — existing published data at 432 Hz. All doable without artifact access. Total: ~$800.