inverse kinematics

A walkthrough of the Quake III fast inverse square root, explaining where the constant 0x5f3759df comes from. It covers IEEE 754 floats, the bit hack that approximates a logarithm, and a Newton's method refinement.

David Rosen of Wolfire Games explains how simple procedural techniques can produce fluid, interactive character animation from very few keyframes. Examples come from Overgrowth, Receiver and Black Shades, from his 2014 GDC session.

3Blue1Brown presents the Triangle of Power, an alternate notation that unifies powers, logarithms and roots in a single triangular symbol. The video shows how the inverse operations relate and how the notation could help.

Vsauce's explainer on Zipf's law, the pattern in which the frequency of a word is inversely related to its rank. It shows the pattern across many domains and discusses why it remains unexplained.

The first of Richard Feynman's 1964 Messenger Lectures at Cornell, 'The Character of Physical Law', covering the law of gravitation. Feynman traces the history from Kepler and Newton to the universality of the inverse-square law. The recording is an older one with weak audio.