This example aims to demonstrate our inability to fully grasp exponential functions.
Our action hero stands on a platform inside an empty 4000 litre water tank. At the very bottom of the tank lies a magic drop of water. Invisible to the eye now, it doubles in size every 10 seconds.
Although the growth rate is constant, for a long time we see no change. But there's a well known limit, the capacity of the tank. Once he realises that water is rising exponentially, poor pixellated Chris has no […]
The folks at Pixar are widely known as some of the world's best storytellers and animators. They are perhaps less recognized as some of the most innovative math whizzes around. Pixar Research Lead Tony DeRose delves into the math behind the animations, explaining how arithmetic, trigonometry and geometry help bring Woody and the rest of your favorite characters to life.
One deck. Fifty-two cards. How many arrangements? Let's put it this way: Any time you pick up a well shuffled deck, you are almost certainly holding an arrangement of cards that has never before existed and might not exist again. Yannay Khaikin explains how factorials allow us to pinpoint the exact (very large) number of permutations in a standard deck of cards.