computation

Veritasium's explainer on Godel's incompleteness theorems and the limits of mathematical proof, tracing set theory, Hilbert's program and the road to Turing and modern computing.

Rune Skovbo Johansen explains Surface-Stable Fractal Dithering, a technique he invented and released as open source. It makes dithering stick to 3D surfaces and covers the experiments and shortcomings along the way, inspired by Return of the Obra Dinn.

2swap explores lambda calculus using John Tromp's lambda diagrams, with animated beta-reductions, asking what PLUS times PLUS gives. It touches on Church encodings and the equivalence of Turing machines and lambda calculus.

AlphaPhoenix uses Monte Carlo simulation and annealing-style methods to draw North Carolina congressional district maps, both gerrymandered and fair. He focuses on the fascinating computational problem rather than the politics.

Kaze Emanuar searches for the best sine approximation for the Nintendo 64, comparing the lookup tables in Mario 64 and Ocarina of Time with polynomial alternatives. It walks through numerics and 3rd, 4th and 5th order approximations.

Isaac Arthur explains the Matrioshka Brain, a hypothetical computer or artificial mind powered by an entire star using nested shells. It covers how such megastructures relate to Dyson spheres and superintelligence.