A torus dissection divides a torus into pieces. 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.
A squared torus is tiled by squares, which may cross the boundary of its fundamental domain. The squaring is perfect when the side lengths are all distinct.
