math & physics
A small, growing collection of interactive explorations in math and physics — the kind where you drag a slider and feel what $e^{i\theta}$ actually does, or why $\pi_1\!\bigl(SO(3)\bigr) = \mathbb{Z}_2$ means an electron needs two full turns. Spinors, topology, quantum mechanics, gauge fields, and whatever else strikes me as too beautiful not to animate. No jargon without intuition. No formulas without a reason.
ANIMATIONS
Hunting the Mersenne Primes
Press play and sweep across the exponents while the $s_{k+1} = s_k^2 - 2 \bmod M_p$ Lucas–Lehmer test decides each $2^p - 1$ in real time. See why a prime exponent isn’t enough — $M_{11} = 2047 = 23 \times 89$ — and why every record prime for decades has had this shape. Exact BigInt math, nothing hard-coded.
Why 1 rotation in ℂ = 2 rotations in 3D
You have to rotate an electron 720° — not 360° — to return it to its original state. An interactive explorer of the $SU(2) \to SO(3)$ double cover, with a simulated neutron interferometer whose intensity follows $I(\theta) = \cos^2\!(\theta/4)$ — watch it go dark at $2\pi$.
Fourier series · gauge fields · wave interference …
$\nabla \times \mathbf{E} = -\partial_t \mathbf{B}$, $\hat{H}\psi = E\psi$, and more — new animations land here when they're ready. No timeline, only curiosity.