Explore the hidden depths of the iconic twisted squares diagram in this 39-minute video by Mathologer. Delve into advanced mathematical concepts like Fermat's four squares theorem, Pythagoras for 60- and 120-degree triangles, and the four bugs problem using twisted squares. Discover beautiful and important aspects of mathematics often overlooked in traditional education. Follow along as the video breaks down complex topics into digestible segments, including trithagoras, hexagoras, twisted square dissection proofs, and unusual applications of twisted squares. Engage with the final puzzle and witness an animation of the Cauchy-Schwarz proof. Gain access to additional resources and references for further exploration of the topics covered.