Tans in Octagons

The following pictures show n tans (with short side 1) packed inside the smallest known octagons (with side s).

1.-2.

s = 1/√(2+√2) = .54119+
Trivial.
  		           3.

s = .72389+
Found by Thomas Greenleaf
in June 2026. 		           4.

s = √(2–√2) = .76536+
Found by Thomas Greenleaf
in June 2026.

5.

s = .88072+
Found by Thomas Greenleaf
in June 2026. 		           6.

s = √(2+√2)/2 = .92388+
Found by Thomas Greenleaf
in June 2026. 		           7.

s = .98623+
Found by Thomas Greenleaf
in June 2026.
8.

s = 1
Trivial.
  		           9.

s = 1.08295+
Found by Jake Loyd
in June 2026. 		           10.

s = 1.09348+
Found by Jake Loyd
in June 2026.
11.

s = 1.15384+
Found by Jake Loyd
in June 2026. 		           12.

s = 4–2√2 = 1.17157+
Found by Thomas Greenleaf
in June 2026. 		           13.

s = 1.21868+
Found by Jake Loyd
in June 2026.
14.

s = 3(√2–1) = 1.24264+
Found by Maurizio Morandi
in June 2026. 		           15.

s = 1.31145+
Found by Jake Loyd
in June 2026. 		           16.

s = 1.36396+
Found by Jake Loyd
in June 2026.
17.

s = 1.39954+
Found by Jake Loyd
in June 2026. 		           18.

s = √2 = 1.41421+
Found by Jake Loyd
in June 2026. 		           19.

s = 1.48829+
Found by Jake Loyd
in June 2026.
20.

s = 1.53147+
Found by Jake Loyd
in June 2026.