Media & Visual Proofs
Interactive simulations and acoustic architecture referenced in the book.
The Architecture of Sorrow
Franz Schubert: Piano Sonata in A major, D. 959 (Andantino). Observe the descent into high-entropy chaos in the middle section.
The Geometry of Sacrifice
The "Smothered Mate" (Philidor's Legacy). An interactive demonstration of escaping the Local Maximum by sacrificing the Queen to execute an asymmetric L-shaped strike.
The Water Molecule
The 104.5° asymmetry (left) forces an open hexagonal lattice at 4°C (right), causing solid water to expand and float.