e^Pi vs Pi^e : which is larger? (pi day battle)

This is a short, animated visual proof demonstrating which of the values e^pi or pi^e is larger (where pi is the circle constant and e is Euler’s constant) . If you like this video, consider subscribing to the channel or consider buying me a coffee: Thanks! This animation is based on a visual proof by Bikash Chakraborty from volume 41 issue no. 56 of the Mathematical Intelligencer in 2019 () Here is wide format, high def, slightly longer version: For two visual proofs of a more general version of this inequality, see ; ; and #math​ #inequality #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #calculus #mathshorts​ #mathvideo​ #mtbos​ #euler #pi #pida