Conversation:

A mathematician confided
That a Mobius band is one-sided
And you'll get quite a laugh
If you cut it in half,
For it stays in one piece when divided.

I love your Mobius Strip limerick The only other one I have come across is in a sci-fi novel called, "Time Trip on a Moebius Strip." It is:

"There was a fast driver named Dwight,
Who could race at the top speed of light,
He would take off in a flash nearly crap
In his pants, but come back on the previous night."