math

Grant Sanderson of 3Blue1Brown shows his workflow for animating math videos with Manim, with Ben Sparks. He codes scenes live, including a Lorenz attractor, and walks through example scenes.

Mathematician singingbanana shows how he flipped ten heads in a row, with the full uncut video and answers to viewers' questions. The point is that unlikely events happen given enough attempts.

Henry Segerman and collaborators demonstrate virtual reality experiences in non-Euclidean spaces, including hyperbolic and mixed hyperbolic-Euclidean geometry. The browser-based demos let viewers move through these spaces and show how strange the geometry feels from inside.

A short Dyalog demonstration building Conway's Game of Life in a single line of APL, step by step. It shows how array operations replace loops.

A two-minute video of Conway's Game of Life running inside Conway's Game of Life, built from OTCA metapixels and Golly. It zooms smoothly between scales.

Tim Hutton's demonstration of SmoothLifeL, a continuous version of Conway's Game of Life using floating point values. It shows gliders traveling in any direction, rotating pairs, and elastic cord-like structures, with config details to run it yourself.

The old announcement trailer for Hyperbolica, CodeParade's Unity game set in hyperbolic and spherical space. The creator has since posted devlog videos on building it.

A short animation reconstructing a planet's looping orbit using Ptolemy's epicycles and deferents, with the epicycles tracing out the face of Homer Simpson. It shows how enough circles can reproduce nearly any shape.

A Mandelbrot set zoom animation reaching a magnification of about 2.1x10^275, claimed as the deepest at the time (January 2010). Each frame was rendered separately over six months on 12 CPU cores.

A short explainer showing what walking through walls would look like with movement in a fourth spatial dimension, using the 4D puzzle game Miegakure.

An animated, musical visualization of Conway's Game of Life showing patterns made in the Golly program.

A four-minute tour of the TeXmacs scientific editor, showing math typing, figures, citations, a drawing tool, document styles, HTML export, presentations and animations.

A short MIT Math Lab video showing millimetric droplets bouncing and walking across a vibrating fluid bath, guided by their own pilot waves. These droplets show diffraction, tunneling and quantized orbits, which were once thought to belong only to quantum systems.

Stephen Wolfram gives a 13-minute tour of the Wolfram Language, a symbolic, functional programming language with a built-in knowledgebase. He demos querying large datasets, interactivity and deployment.

Afrotechmods plays with 2600F ultracapacitors that can dump hundreds of amps, shorting them to vaporize bits of metal. Along the way he explains the three most important capacitor equations. The uploader warns that the capacitors are not designed to be shorted.

Jeija demonstrates a modified Minetest game with a spherical planet, using a grid transform to make a voxel world round. It includes the orbit math and download links for the spheretest build.

CNLohr explains how he made an ESP32 produce valid LoRa packets without a LoRa radio, using aliasing and clever signal tricks. It walks through the RF math and shows how far the signals reach.

Terry Davis, author of TempleOS, demonstrates his SimStructure physics simulator and builds a PID controller using math from Numerical Recipes in C. The description notes PID controllers are used in everything from rockets to espresso machines.

Second half of a demonstration of the 1982 Xerox Star user interface. It shows how the Star differed from the later Lisa and Mac interfaces, with strengths in networking and printing and little direct manipulation.