Octagons in Squares

The following pictures show n unit octagons packed inside the smallest known square (of side s).

1.

s = 1 + √2 = 2.41421+
Trivial.
  		           2.

s = 2 + 3√2/2 = 4.12132+
Found by Jonathan Viquerat
in May 2026. 		           3.-4.

s = 2 + 2√2 = 4.82842+
Trivial.
 

5.

s = 3 + 2√2 = 5.82842+
Found by Jonathan Viquerat
in May 2026. 		           6.

s = 6.51126+
Found by Jonathan Viquerat
in May 2026. 		           7.

s = 7.03553+
Found by Jonathan Viquerat
in May 2026.
8.-9.

s = 3 + 3√2 = 7.24264+
Trivial.
  		           10.

s = 8.24263+
Found by Jonathan Viquerat
in May 2026. 		           11.

s = 8.57596+
Trivial.
 
12.

s = 8.81586+
Found by Jonathan Viquerat
in May 2026. 		           13.

s = 9.19926+
Found by Jonathan Viquerat
in May 2026. 		           14.

s = 9.44974+
Found by Jonathan Viquerat
in May 2026.
15.-16.

s = 4 + 4√2 = 9.65685+
Found by Jonathan Viquerat
in May 2026. 		           17.

s = 10.44973+
Found by Jonathan Viquerat
in May 2026. 		           18.

s = 10.60832+
Found by Jonathan Viquerat
in May 2026.
19.

s = 10.96640+
Found by Jonathan Viquerat
in May 2026. 		           20.

s = 11.10493+
Found by Jonathan Viquerat
in May 2026.