Hypertwist: 2-sided Möbius strips and mirror universes

Mathologer
Mathologer
101.6 هزار بار بازدید - 8 سال پیش - In this video the Mathologer
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
8 سال پیش در تاریخ 1395/10/11 منتشر شده است.
101,622 بـار بازدید شده
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