Number theory reads as the least visual branch of mathematics — no shapes, no space, just arithmetic. That's exactly why it's such fertile ground for interactive teaching: the structure is real and beautiful, it's just hidden inside the arithmetic. Draw the integers and patterns nobody expects come screaming out of the noise.
Start with #1 Ulam Spiral and #2 Modular Multiplication Circles — pure Canvas 2D, one afternoon each, both delivering the "arithmetic secretly draws pictures" payoff. #6 Sieve is the best "teaches a real theorem" piece; save #8 Collatz and #9 Pascal mod p for the showpiece 3D/fractal renders. For the analytic set, build #11 Prime Spectrum first (it reuses the dyadic demo's DFT), then #12 Explicit Formula as the showpiece, with #13 GUE Statistics as the one-picture-deep-theorem highlight.
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