continued fractions

Mathologer uses continued fractions to show why the golden ratio is the most irrational number, comparing it with root 2, e and pi and pointing to where this shows up in nature.

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.

Carl Sagan's December 1985 testimony to Congress on the greenhouse effect, about 15 minutes long. He lays out CO2 warming, the risk of runaway effects and the danger of continued coal burning.

John Oliver's Last Week Tonight segment on municipal violations. It shows how small fines and fees escalate for people who cannot pay and how private probation and ticket revenue can ruin lives.

A long documentary-style video arguing that slavery in the US effectively continued through convict leasing and the prison system until around 1942. It covers the constitutional carveout and the history of neoslavery.

Engineering Explained argues that internal combustion engines are far from dead, and discusses the continued development of ICEs and the problems facing electric vehicles.

Numberphile's James Grime makes the case for base 12 (dozenal) over base 10, showing how twelve's many divisors make arithmetic and everyday fractions easier.

A short Australian dystopian film in which a man returns home to find citizens fining each other for infractions via a government app, with cameras everywhere.