Virtually nothing is known about dissection of a projective plane using unequal squares.
Projective Plane Dissection
See also
Cylinder Dissection, Klein Bottle 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
Projective Plane DissectionCite this as:
Weisstein, Eric W. "Projective Plane Dissection." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ProjectivePlaneDissection.html