The following pictures show n tans with leg 1 packed inside the smallest known circle (of radius r).
1.
2.
3.
r = 1/√2 = .707+
Trivial.
r = 1/√2 = .707+
Trivial.
r = (6 + √2)/8 = .926+
Found by Serhiy Grabarchuk
in April 2005.
4.
5.
6.
r = 1
Trivial.
r = 1.125+
Found by Maurizio Morandi
in July 2007.
r = 1.198+
Found by Maurizio Morandi
in July 2007.
7.
8.
9.
r = 1.26287+
Found by Jake Loyd
in June 2026.
r = √(1+1/√2) = 1.306+
Found by Serhiy Grabarchuk
in April 2005.
r = 1.37381+
Found by Thomas Greenleaf
in June 2026.
10.
11.
12.
r = 1.42230+
Found by Thomas Greenleaf
in June 2026.
r = 1.480+
Found by David W. Cantrell
in August 2007.
r = 1.50878+
Found by Jake Loyd
in June 2026.
13.
14.
15.
r = 1.55348+
Found by Jake Loyd
in June 2026.
r = √10/2 = 1.581+
Found by Serhiy Grabarchuk
in April 2005.
r = 1.66443+
Found by Jake Loyd
in June 2026.
16.
17.
18.
r = 1.74180+
Found by Jake Loyd
in June 2026.
r = 1.80067+
Found by Jake Loyd
in June 2026.
r = 1.83366+
Found by Jake Loyd
in June 2026.
19.
20.
r = 1.88814+
Found by Jake Loyd
in June 2026.
r = 1.93833+
Found by Jake Loyd
in June 2026.