Tans in Squares

The following pictures show n tans with leg 1 packed inside the smallest known squares (of side s ).


1.
           2.
           3.
s = 1
Trivial.
s = 1
Trivial.
s = √2 = 1.414+
Trivial.


4.
           5.
           6.
s = √2 = 1.414+
Trivial.
s = 1.788+
Found by Maurizio Morandi
in August 2007.
s = 1.937+
Found by Maurizio Morandi
in February 2008.


7.
           8.
           9.
s = 1.999+
Found by Maurizio Morandi
in August 2007.
s = 2
Trivial.
s = 3/2 + 1/√2 = 2.207+
Found by Erich Friedman
in March 2005.


10.
           11.
           12.
s = 2.393+
Found by Maurizio Morandi
in January 2008.
s = 1 + √2 = 2.414+
Found by Maurizio Morandi
in August 2007.
s = 2.612+
Found by Maurizio Morandi
in January 2008.


13.
           14.
           15.
s = 2.688+
Found by Maurizio Morandi
in March 2008.
s = 2.767+
Found by Maurizio Morandi
in October 2007.
s = 2.828+
Found by Maurizio Morandi
in August 2007.


16.
           17.
           18.
s = 2√2 = 2.828+
Trivial.
s = 2.970+
Found by David W. Cantrell
in August 2007.
s = 3
Trivial.


19.
           20.
           21.
s = 3.201+
Found by Maurizio Morandi
in February 2008.
s = 2 + 9√2/10 = 3.272+

Found by Maurizio Morandi
in February 2008.
s = 3.340+
Found by Maurizio Morandi
in March 2008.


22.
           23.
           24.
s = 3.392+
Found by Maurizio Morandi
in December 2007.
s = 3.464+
Found by Maurizio Morandi
in December 2007.
s = 3.517+
Found by David W. Cantrell
in August 2007.


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