How to split view all buffers in vim with equal distribution vertical horizontal

Question

How can I split view all buffers in vim with a distribution between vertical and horizontal? Is there a plugin?

I know how to make all buffers appear in either horizontal or vertical splits:

:ball
:vertical ball

But I want several to be vertical first, then, once a reasonable number have displayed, start creating a 2nd row below it: so a horizontal split. Then, continue the process so we end with tiled windows. Maybe if there are 7 buffers:

|| x | x | x ||
|| x | x | x ||
||     x     ||

Use Case

Let's say I want to use bufdo on all my buffers. I'd like to see the changes they are making as much as feasible. Even on a small screen, I could make 4 vertical splits above 4 horizontal ones, and see a little bit of each file. More than 9 buffers, and it's probably too small to read, so maybe there could be a vimrc-changeable setting for user preference of max number of splits, and/or perhaps some influence based on screen resolution or display width ability.

Beginning of an answer

Based on the answer here, I'm tempted start macro'ing that, and I can see that temptation turning into writing my first plugin. I just feel like surely this is a common enough desire to already have an existing plugin or solution.