this post was submitted on 14 Jun 2025
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https://kingbird.myphotos.cc/packing/squares_in_squares.html
The rub with this design is that the length of the sides of the little squares is not an even integer division of the length of the sides of the big square, though.
Doing it the naive way, i.e. keeping all the edges parallel, you can only fit 16. However it's trivial to fit 17 in there without it looking like a warehouse accident, like so:
Or, a slightly easier to follow rendering:
This may correlate with #17 on your linked list, but I was not rigorous with the math. (I.e. I just traced this off of the screenshot.)
I'm positive I've seen this as a 3D printed puzzle somewhere at some point...
Blender calculates this as the optimal packing. It's smaller than the ideal, but I've seen Blender be wrong before.