There is no reason you need to memorize Punnett Squares. Actually, there is no reason you even need to diagram Punnett Squares, ever. You can figure out the ratios in about 5 seconds using simple multiplication.
Example: AaBbCc x AaBbCc. What is the change of having an AABBCC baby?
It's the same as the odds of AA x BB x CC, assuming unlinked genes.
Odds of AA: 1/2 from mother x 1/2 from father = 1/4 chance
Odds of BB = 1/4
odds of CC = 1/4
1/4 x 1/4 x 1/4 = 1/64.