Statistical Mechanics | Entropy and Temperature

In this video I tried to explain how entropy and temperature are related from the point of view of statistical mechanics. It's the first video I have ever made for Youtube, the audio quality is far from perfect and the animations are what I could put together with the Manim library in the last month, but I hope it can be of help to someone. This is also my submission to the Summer of math exposition contest by 3Blue1Brown. 0:00 Intro 0:45 Dice intuition 1:54 Two-state particle 4:20 Temperature intuition 5:43 Two interacting systems 7:43 Derivation of temperature 9:03 Entropy and temperature 9:40 Negative temperature