That's a very interesting map RobA. It probably foreshortens the landmasses too much for use with a cylinder, but that would be perfect for a Bernal sphere. (Which is essentially and O'Neill cylinder except it's a sphere.) It would probably work out even better if the Bernal sphere had water around it's equator so that you didn't have to mentally stitch the edges together.
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Maybe something like below might be more appropriate for a cylinder, again assuming 3 land masses instead of 4. It's the same idea, but instead of stretching the landmasses, the window area is cut out.