That's insane!!!!!!
It would suck if you had made a mistake.
So, does each register do one of the following: red, green, rows?
If so, isn't there a risk of current damaging the leds (don't see resistors) or current damaging the rows register (don't think it can sink that much)?
Now, you just need to use one of the mini arduinos (nano, mini, etc) and just attach to the back, and then you have a super-compact led matrix!
Nice work!