L's in Squares

The following pictures show n L's with short sides 1, 2, . . . n packed inside the smallest known square (of side length s).


1.            2.            3.
s = 2
Trivial.
s = 4
Trivial.
s = 7
Found by Erich Friedman in 1998.


4.            5.            6.
s = 11
Found by Erich Friedman in 1998.
s = 14
Found by Erich Friedman in 1998.
s = 18
Found by Erich Friedman in 1998.

7.            8.            9.
s = 22
Found by Erich Friedman in 1998.
s = 26
Found by Erich Friedman in 1998.
s = 31
Found by Erich Friedman in 1998.

10.            11.            12.
s = 36
Found by Erich Friedman in 1998.
s = 41
Found by Patrick Hamlyn in January 2004.
s = 46
Found by Erich Friedman in June 2003.

13.            14.            15.
s = 52
Found by Erich Friedman in June 2003.
s = 58
Found by Erich Friedman in January 2004.
s = 63
Found by Erich Friedman in March 2005.

16.            17.            18.
s = 69
Found by Erich Friedman in March 2005.
s = 75
Found by Erich Friedman in March 2005.
s = 82
Found by Erich Friedman in March 2005.


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