BCT Appendix App-L198: Beaver Dam Geometry — Full Derivation of OHC Bessel Ratio Signatures in Castor canadensis Construction

Key Points

• This research aims to derive the mathematical relationships that define beaver dam geometry and its acoustic properties.
• Mathematical derivation of void ratios
• Analysis of branching angles
• Calculation of optimal pond resonance frequencies
• Beaver dam geometry encodes a void ratio of 0.5426
• Found canal branching angles consistent with tetrahedral geometry
• Identified optimal pond resonance frequency of 349.7 Hz