Fractal charm: space-filling curves

3 minutes

Mesmerising fractals and space-filling curves give a window into infinity

First discovered by the Italian mathematician Giuseppe Peano in 1890, a space-filling curve can theoretically expand endlessly without its path ever crossing itself to fill an infinite space. In a computer display, space-filling curves are limited by the number of pixels on a screen, but watching these fractal constructions extend isn’t just hypnotic – it’s also a helpful (if somewhat imperfect) demonstration of the enigmatic concept of infinity. To learn more about the mathematics of space-filling curves, watch Hilbert’s Curve, and the Usefulness of Infinite Results in a Finite World, also by 3Blue1Brown.

Video by 3Blue1Brown

Video/Childhood & Adolescence

What to make of a Riot Grrrl? A snapshot of feminism and high school in the 1990s

18 minutes

ORIGINAL
Video/Virtual Reality

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5 minutes

Video/Demography & Migration

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30 minutes

Essay/Human Evolution

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Holly Dunsworth & Anne Buchanan

Video/Philosophy of Science

How LSD helped a scientist find beauty in a peculiar and overlooked form of life

6 minutes

Idea/Astronomy

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Christopher Kochanek

Essay/Evolution

Aliens in our midst

The ctenophore’s brain suggests that, if evolution began again, intelligence would re-emerge because nature repeats itself

Douglas Fox

Video/Biology

From egg to the air: 21 days of bee development condensed into one mesmerising minute

1 minutes

Idea/Anthropology

It’s not that your teeth are too big: your jaw is too small

Peter Ungar