What you have made, of course, is a Möbius band
. Escher didn't invent it, but he used it a lot in his work
This novel structure has only one surface, and one edge. It can thus be seen as even "more endless" than a simple circle. Eternal and unending.
I made this one from a plain band, with no logo or legend, but you could use a band for your favoured charity or saying. It is even possible to get custom-made bands that say whatever you want them to.
Whatever kind of band you use, turning it into a Möbius band adds that extra layer of meaning to it.