I memorized all the 2 digit squares squared . now I in the process of memorizing the multiplication table of 2 digit numbers (11-99) and after it I will want to memorize the the 3 digit squares, and then the 4 digit squares, after it, I will not memorize but be able to do very fast 5-8 digit squared, because 1^2+2ab+b^2, for 8 digits I will do the first 4 digit squares add 8 zeros, then the first 4 digits times the last 4 digits times 2 and add 4 zeros, and then the last 4 digits without zeros, but its long process to memorize all, I have good memory from birth, but trained memory I didn't succeeded to develop yet, and I am on this from april, you have advices ? I saw shimi atias memorize 27 digits in 27 seconds, and I remember all the peg words 1-100, and pull them fast from the memory, the problem with me is that the only thing I don't do fast is the visualization , I don't visualize or imagine fast enough any 2-4 objects, so its take me more time, I am not interested in do what shimi do with the 27 digits in 27 seconds, but I think that if I will be able to visualize clear enough and fast enough, then I will be able to memorize the multiplication and squares I want a lot faster, I can do it slower, but I don't want it to take years, thanks, amit

You probably want to learn a mnemonic peg system.

This is not something that should be memorized. Train to calculate it quickly instead. Honestly, it's less difficult!

The book, "Dead Reckoning: Calculating Without Instruments" can be found on Amazon and will help with some of the stated calculations. The website, https://www.ludism.org/mentat/HomePage has some good memory systems.
Regards,
Barry