It is not 'smaller' it is narrower. Big difference. words are powerful.
Keep cutting and eventually you will have an infinite number of them. Curiously, they will take up no more space the the one you started with.. if you pack them carefully. But my problem is... once they are infinitely thin..Do they still really HAVE a flat side??? Wouldn't the edge be way way thicker than what was the flat side when you started? So then you start cutting that edge...?? Will you eventually no longer HAVE a Mobius strip since the flats have shrunk to a one dimensional line at infinity???...
Well???