Squares in L's

The following pictures show n unit squares packed inside the smallest known L (of long side s ).


3.            5.            6.
s = 2
Trivial.
s = 3
Trivial.
s = (5√2 + 4) / 3 = 3.690+
Found by David Cantrell
in June 2005.


7.            12.            13.
s = √2 + 5/2 = 3.914+
Found by Erich Friedman
in June 2005.
s = 4
Trivial.
s = 4 + 2/√5 = 4.894+
Found by Erich Friedman
in June 2005.


14.            16.            17.
s = 4.988+
Found by David Cantrell
in June 2005.
s = 5
Trivial.
s = 5.586+
Found by Erich Friedman
in June 2005.


18.            19.            20.
s = (2√2 + 14) / 3 = 5.609+
Found by Erich Friedman
in June 2005.
s = 5.832+
Found by David Cantrell
in June 2005.
s = 5.994+
Found by David Cantrell
in June 2005.


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