A mobius strip has one surface and one surface only. A klein bottle is a big brother to the mobius strip. It is a one-sided container. It would be cool to drink out of one. Read more about what it is with a picture of different models, or visit kleinbottle.com
2 sided 3D Mobius strip –> http://tela.txbs.net
Interesting comments.. 😀
Consider this 3D version of the Moebius strip, developed by Professor Gonzalo Velez Jahn (UCV) during the 1970s:
http://exploratoria.posterous.com/a-3d-rectangular-representation-of-the-moebiu