but this is not impossible or out of ordinary though. you can even imagine stacking a couple cardboard boxes into that shape. i think it’s out of place because it’s too ordinary, because you’d expect some kind of symmetry, regularity, etc. from idealized mathematical shapes, but you didn’t. instead you just get some random looking stack of boxes.
Fyi this is just the best known packing of 17 squares, there might be a better one. We just haven’t been able to proove it or find a better one since 1998
but this is not impossible or out of ordinary though. you can even imagine stacking a couple cardboard boxes into that shape. i think it’s out of place because it’s too ordinary, because you’d expect some kind of symmetry, regularity, etc. from idealized mathematical shapes, but you didn’t. instead you just get some random looking stack of boxes.
Fyi this is just the best known packing of 17 squares, there might be a better one. We just haven’t been able to proove it or find a better one since 1998