>but lately,i've discovered that the property
>is widely used in phisycs
>and space travel

Well, I can't say much about space travel, let alone applications of one-sided surfaces to same.

>and all
>that stuff
>is it mathematical enough to do
>a research on the strip?

It's all up to you. E.g., knots are the subject of mathematical theory but also are used to hold sneakers on feet.

>another thing, can anybody suggest a
>resourceful website about moebius strip?

I do not believe there is one comprehensive site covering all aspects of the Moebius strip. There's definitely an opprotunity for a resourceful fellow.

When you search the Web, look for both "Moebius strip" and "Moebius band" that are used interchageably.