broad group

3Blue1Brown builds intuition for Euler's formula, e^(pi i) = -1, using the core ideas of group theory. It treats exponentiation geometrically as rotation and scaling instead of repeated multiplication.

3Blue1Brown introduces group theory and abstract groups, then builds toward classification of finite simple groups and the enormous Monster group with its 196,883 dimensions.

A short CGP Grey explainer on the overlapping and inconsistent membership arrangements of European countries across the EU, Schengen, the euro and the EEA. It shows why "the EU" is full of exceptions.

Technology Connections explains how analog television produced moving images without computers, covering scanning, CRTs and standards like NTSC and PAL. It is part of a series on analog TV.

A Technology Connections video on JVC's LCCS, a display hybrid that cycles a color LCD shutter over a monochrome CRT to produce field-sequential color without dots or stripes. It builds on his earlier videos about analog TV and compatible color.

CGP Grey's animated adaptation of The Dictator's Handbook, explaining how rulers stay in power by keeping a small group of key supporters happy rather than ruling fairly. It lays out selectorate theory and how resources shape regimes.

Tom Scott's long explainer on YouTube's copyright system, Content ID and the DMCA. He argues the platform's system is a workaround for a broader copyright system that does not fit the modern world.

Roy Beck's short gumball presentation using World Bank and Census data to argue that letting people immigrate to the US cannot solve world poverty because the numbers are so large. It is made by NumbersUSA, an immigration-restriction advocacy group.

3Blue1Brown explains fractal dimension and shows why many fractals are not strictly self-similar. Self-similarity turns out to be a special case of the broader idea of fractional dimension.

Ben Felix explains how to compare renting and buying a home by looking at unrecoverable costs, and distills it into the 5% rule of thumb. It is framed for a Canadian audience but broadly applicable.

A short RepresentUs explainer on how money corrupts American politics and what an anti-corruption act could do about it. It covers lobbying, super PACs and campaign finance, and pitches the group's proposed reforms. The video was later superseded by an updated version.

Phil Vischer of VeggieTales and Holy Post gives an 18-minute history of racial injustice in America, covering why anger persists despite civil rights laws. It is told from an evangelical Christian perspective and adapted from a class he co-taught.

This Place argues that the uncanny valley is a flawed concept, since 'human likeness' is too broad and the supporting evidence is cherry-picked. It proposes that the creepiness really comes from how animated characters and robots move.

A Veritasium video on AlphaFold, DeepMind's protein structure prediction system, and the protein design work it enabled. It features interviews with John Jumper and with David Baker's protein design group and explains why predicting protein folding matters.

Linguist Geoff Lindsey explores vocal fry: what it is, who uses it, how it relates to glottal stops and accents, and why some people dislike it.

Technology Connections explains the early history of analog color television, from the 1954 start of modern color broadcasting, and how shadow masks work in CRTs. It is the first in a series on how analog color TV works.

Chubbyemu presents a case study of a man who followed AI health advice, replaced salt with sodium bromide and developed bromism with severe neurological effects. It is told as a dramatized medical case by a doctor.

Linus Tech Tips warns against cheap Android TV boxes, many of which ship with preinstalled malware. It looks at several boxes and suggests safer alternatives such as Chromecast and Nvidia Shield.

Technology Connections spends 22 minutes on the humble can opener and what its design shows about products and why people don't know what to look for. It uses an everyday tool to draw broader lessons.