Cylinder chess. Bishop moving to square of opposite color.

Imagine playing cylinder chess on a board with an unequal number of files. That will mean that the bishop can move to square of the opposite color than the one it stands on!

I find this absolutely amazing!

Could you draw a diagram for us? I am having trouble picturing what you have described.

Wow, amazing!

In my mind I am seeing it like a barber pole...I don't think the bishop would ever be able to move to a square of the opposite colour.  What am I missing?

here is a cylinder chess board really shaped as a cylinder

But cylinder chess can also be played on a complete common chess board imagined to be a cylinder. Here is the bishops move illustrated on such a board

The diagonal c1-b2-a3 continues on h4-g5 and so on.

But imagine that there was no h-file. like on this board

It is now clear that the diagonal c1-a3 ( if we play cylinder chess ) continues on the white square h4.

That's pretty awesome.

The thing is, if a cylinder board has an odd number of files, the squares won't be colored black and white (a1 and g1 are adjacent and have the same color, for example).

That is right chaotic_iak, but it does not change the point that the bishop would have the potential to reach any square, instead of as usually being limited to the half of them.