
taylor series approximations: visualizing convergence and radius
Watching polynomials wrap around sin, cos and ln: factorial-fast convergence for entire functions, and the hard wall of the convergence radius where adding terms makes things worse.
Computational explorations and scientific visualizations

Watching polynomials wrap around sin, cos and ln: factorial-fast convergence for entire functions, and the hard wall of the convergence radius where adding terms makes things worse.

Rebuilding sawtooth and square waves out of pure sines: animated partial sums, the stubborn 9% Gibbs overshoot, and a measured convergence rate — all validated numerically before plotting.

I gave TorqueHash the ability to stream data using Rust's Write trait - turning it from a byte-slice toy into a composable I/O component with a real CLI.

I built a minimal cryptographic hash function from scratch in Rust using sponge construction and ARX operations — not to replace SHA-256, but to understand what's inside one.