A 2-D Toroid?

Question

I have a question for my class that says that a 2-D creature shaped like an "F" walks in one direction and when it comes back it is shaped like a backwards "F". Would this creature be living in a 2-D Toroid?

Answer 1

No. It could be living in a mobius strip or a klein bottle, but as far as I know it could not be in a toroid.

http://en.wikipedia.org/wiki/Toroid
http://en.wikipedia.org/wiki/Mobius_strip
http://en.wikipedia.org/wiki/Klein_bottle

Answer 2

He could be not be in a torroid. A toroid is a donut. He could be walking in a flat strip shaped like an O. That would have two surfaces.