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The main sentence at the top does not make any sense to me, can some explain like I'm 42. (I'm 43)
by rhacker 4y ago
The main sentence at the top does not make any sense to me, can some explain like I'm 42. (I'm 43)
- bobbylarrybobby 4y agoI believe what it means is: shown below are, for each n, the smallest square that fits n unit squares inside it. N is not shown if the smallest square that fits n unit squares inside it has no tilted unit squares inside it [except that's obviously not quite true, plenty of no-tilted-unit-square squares are shown].
- topaz0 4y agofrom context I am guessing that the non-tilted ones that are shown are provably the smallest possible such squares, not just the smallest known. But that is not stated explicitly.
- robotresearcher 4y agoEach is tagged with ‘trivial’, ‘found’ or ‘proved’.
- topaz0 4y agoWe're putting unit squares into larger squares, without letting them overlap. Say you want to put 5 unit squares in a bigger square. You could put them into a square of side length 12, or 100, or 3, with various arrangements. This page is showing the smallest known square that you could put n squares into, for each value of n, along with how they need to be arranged to be able to achieve that.