Hypertwist: 2-sided Möbius strips and mirror universes

Описание: In this video the Mathologer sets out to track down the fabled 2-sided Möbius strips and Klein bottles inside some very exotic
3D universes. Also featuring 1-sided circles and cylinders and other strange mathematical creatures.

Check out Jeffrey Weeks's amazing free "Torus Games" (play chess, tic-tac-toe, etc. on Klein bottles and tori) and Curved Spaces (explore exotic 3d universes) at http://www.geometrygames.org Also check out this introductory video    • The Shape of Space   And, finally, here is Jeff himself giving a lecture at the Math museum in New York.

Just in case you are wondering why my cat mascot is called QED: in maths QED stands for "quod erat demonstrandum" which is something people used to write at the end of proofs. It's Latin for "What had to be demonstrated/proved". In physics QED stands for quantum electro dynamics which has nothing to do with our cat. Also, the QED cat mascot was originally invented by my colleague and friend Marty Ross. The flat version on the cereal box has been our (the Maths Masters) mascot for decades (check out www.qedcat.com).

Also, thank you very much to Jeff for all his help with this video.

Enjoy!

Burkard