ulam spiral

3Blue1Brown explains why plotting primes in polar coordinates produces spiral patterns, using modular arithmetic, Dirichlet's theorem and rational approximations of pi.

Dave Ackley presents robust-first computing and the ULAM programming language for the Movable Feast Machine, a cellular-automata-like architecture. It was a short video for the Future Programming Workshop 2015.

Numberphile's Ben Sparks shows why the golden ratio is the most irrational number, using seeds, continued fractions and rational approximations. He also explains why plants use it for spacing leaves and seeds.

A minutephysics explainer showing that the Moon's path around the Sun is not a spiral but closer to a 12-sided polygon with curved corners. It argues the Moon arguably orbits the Sun rather than the Earth.

Kurzgesagt explains why humans feel loneliness, its evolutionary role, and how modern life can turn it into a harmful downward spiral. It cites research and offers ideas on what to do about it.

A short compilation of aircraft flying through clouds and moist air, showing the spiraling vortices that wings leave behind. The footage shows wingtip vortices and the way planes disturb cloud layers.

Too Many Cooks is an Adult Swim absurdist parody of sitcom opening credits that spirals into a surreal horror comedy. It runs about eleven minutes.