The Curse of the Schwarz Lantern - Exploring a Famous Mathematical Counterexample

Explore the fascinating Schwarz lantern paradox in this 25-minute video from Mathologer. Dive into a counterintuitive mathematical concept that challenges the seemingly obvious relationship between surface area and volume. Learn about the connection to the famous pi = 4 paradox, discover Archimedes' approach to approximating pi, and understand the intricacies of the Schwarz lantern construction. Investigate area formulas, examine real-world applications like folding flat structures and soda can designs, and witness a virtual reality experiment demonstrating the paradox. Gain insights into the historical context, related concepts, and modern interpretations of this mind-bending mathematical phenomenon.

Intro
Troll math: the pi=4 meme
Archimedes chops off corners
Archimedes boxing of pi
Schwarz lantern
Area formula
Schwarz pi = 4 memes
Folding flat
Andrew's VR experiment
Soda can --- lantern
Thanks
Andrew's Christmas tree