Squares Covering Triangles

The following pictures show n unit squares covering the largest known equilateral triangle of side s.

1. 2. 3.
s = √6 - √2 = 1.035+
Trivial. s = 4√6 - 6√2 = 1.312+
Found by David Cantrell
in August 2002. s = s = 2.108+
Found by David Cantrell
in August 2002.

4. 5. 6.
s = 4/√3 = 2.309+
Found by David Cantrell
in August 2002. s = 2.483+
Found by Erich Friedman
in August 2002. s = 3.168+
Found by David Cantrell
in August 2002.

7. 8. 9.
s = 3.276+
Found by David Cantrell
in July 2005. s = 2√3 = 3.464+
Found by David Cantrell
in July 2005. s = 3.681+
Found by David Cantrell
in July 2005.

10.
s = 4.141+
Found by David Cantrell
in July 2005.

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1.		2.		3.
s = √6 - √2 = 1.035+ Trivial.		s = 4√6 - 6√2 = 1.312+ Found by David Cantrell in August 2002.		s = s = 2.108+ Found by David Cantrell in August 2002.

4.		5.		6.
s = 4/√3 = 2.309+ Found by David Cantrell in August 2002.		s = 2.483+ Found by Erich Friedman in August 2002.		s = 3.168+ Found by David Cantrell in August 2002.

7.		8.		9.
s = 3.276+ Found by David Cantrell in July 2005.		s = 2√3 = 3.464+ Found by David Cantrell in July 2005.		s = 3.681+ Found by David Cantrell in July 2005.