Educational Resources
Structural understanding, made visible.
Interactive Lessons
These resources are developed as part of Hampshire Academia's teaching practice. Each one reconstructs a topic from its organizing principles rather than presenting rules to memorize. They are designed for students working at the advanced secondary or undergraduate level.
Interactive Lesson
Phase Rotation and the Architecture of Waves
From recurrence to phase, from rotation to sinusoid, from coupled oscillators to the wave equation. Nine interactive sections with animated visualizations.
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Animation Dashboard
Phase Geometry of Oscillations & Waves
Three-panel animated dashboard: state-space rotation with live projections, traveling and standing wave comparison, and a coupled oscillator chain approaching the continuum limit.
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Research Paper · Preprint
Phase, Periodicity, and the Structure of Linear Oscillations
A pedagogical reconstruction showing that sinusoidal solutions, complex exponentials, standing waves, and Fourier decomposition arise as successive consequences of recurrence and phase geometry. Submitted to the American Journal of Physics.
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