Every Möbius strip dissection of unequal squares can be glued along its edge to produce a dissection of the Klein bottle. There are no other ways to tile a Klein bottle with six or fewer squares, the situation is unknown for seven or eight squares, but it is known that other types of dissections do exists for nine squares (Stewart 1997).
Klein Bottle Dissection
See also
Cylinder Dissection, Möbius Strip Dissection, Perfect Square Dissection, Torus DissectionExplore with Wolfram|Alpha
References
Stewart, I. "Squaring the Square." Sci. Amer. 277, 94-96, July 1997.Referenced on Wolfram|Alpha
Klein Bottle DissectionCite this as:
Weisstein, Eric W. "Klein Bottle Dissection." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/KleinBottleDissection.html