A ring torus constructed out of a square of side length can be dissected into two squares of arbitrary side lengths and (as long as they are consistent with the size of the original square), as illustrated above.
Torus Dissection
See also
Dissection, TorusExplore with Wolfram|Alpha
References
Stewart, I. "Squaring the Square." Sci. Amer. 277, 94-96, July 1997.Referenced on Wolfram|Alpha
Torus DissectionCite this as:
Weisstein, Eric W. "Torus Dissection." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TorusDissection.html