Q-Puzzle

This is a mathematical jigsaw puzzle! You have a photo cut into q×q pieces, where q is a power of a prime p. Therefore it represents the vector plane over the finite field Fq with q elements.

These q×q pieces will be presented to you in disorder, result of a (hidden) affine transformation of the plane. And your goal is to recover the image by finding the inverse affine transformation. You have the right to multiple tries in order to do it.

Recall that an affine transformation is a linear transformation followed by a translation. All are operations over Fq.

You may play this game even without understanding the mathematics behind. In this case don't go further than q=5; the game risks to be very frustrating. We also recommend another online jigsaw Shifting puzzle which requires much less mathematical background.

Choose: q = (Bigger q usually means more difficult puzzle.)
Photo =    
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Description: puzzle basé sur transformation affine sur un corps fini. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, algebra, geometrie affine, finite field, affine transformation, vector space, jigsaw, jigsaw puzzle