Once again, the more pedantic chess lovers, bless their hearts, will be aghast!
I named Chesla in honor of Tesla (who might also be aghast, but hey, it's all for fun!)
Variation 1: Knights may "warp" from a,b,g, and h files across to the other side, but only from 'their' half of the board. For instance, if h2=N(light pieces), then Nha4, Nhb3, and Nhb1 are legal moves. However, if h5(or higher)=N(light pieces), he's just a normal N. Dark pieces Knights may similarly "warp" from abgh, 5-8, but when they are on spaces <5, they are normal.
Variation 2: Bishops, etc.
Variation 3: Knights and Bishops
I think Var.1 will be the most fun, but I'd like to play with anyone who wants to, any of the variations. Challenge me, and we can play off-site on wooden boards, because I'm sure the good folks at chess.com haven't yet programmed to account for these kinds of "this ain't chess anymore" games! :)