Pluperfect shapes

I wanted to, for a long time, map the plu[erfect square, aka the "squared
square" to microtones, in that the side length ratios to each other, and
also the range of the pluperfect squares side lengths can start at the
smallest, and finish at the largest.

What is the "pluperfect square"?

This is as square divided and disected into a smaller number of squares with
no two being equal in size.

There must also be no overlap, and the number of subsquares cannot exceed
eternity, or subceed two.

----What is the smallest number of squares that this construction has possible?

Actually, it is 21, and I woundered about a pluperfect hex,-you'd have to
"bend the rules", and allow perhaps other triangles, 1-3 isocolese, scalene
and also equilateral.

Who might be interested in helping me experiment with plu-perfect n-gons?