Another better lower bound for n=17 square packing

gus_massa 27 points 6 comments August 21, 2026
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Discussion Highlights (4 comments)

scuppernong

Some of these point arrangements superficially resemble Chladni figures ( https://chalkdustmagazine.com/regulars/on-the-cover/cover-ch... ) coming from the vibrations of a square drum. Orthogonally, I wonder if these arrangements are generalizable to give lower bounds for N = n^2 + 1

teddyh

None of the images has any squares.

dist-epoch

The n=17 case is a famous math meme. But where is the picture for this lower bound packing?

dooglius

Responding to a couple comments here: there is no picture or new arrangement of squares because those are _upper_ bounds for the problem. The best known arrangement, i.e. the best known upper bound, has not changed.

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