Octagons in Hexagons

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

1.

s = 1.49571+
Trivial.
  		           2.

s = 2.70289+
Trivial.
  		           3.

s = 2.88958+
Found by Mohamed Metwalli
in June 2026.

4.

s = √(9/2+3√2) = 3.27809+
Found by Mohamed Metwalli
in June 2026. 		           5.

s = 3.71848+
Found by Jonathan Viquerat
in June 2026. 		           6.

s = 3.94960+
Found by Mohamed Metwalli
in June 2026.
7.

s = 3.97716+
Found by Jonathan Viquerat
in June 2026. 		           8.

s = 4.56653+
Found by Jonathan Viquerat
in June 2026. 		           9.

s = 4.93304+
Found by Jonathan Viquerat
in June 2026.
10.

s = 5.06929+
Found by Jonathan Viquerat
in June 2026. 		           11.

s = 5.34801+
Found by Jonathan Viquerat
in June 2026. 		           12.

s = 5.38669+
Found by Jonathan Viquerat
in June 2026.
13.

s = 5.75470+
Found by Jonathan Viquerat
in June 2026. 		           14.

s = 5.77752+
Found by Jonathan Viquerat
in June 2026. 		           15.

s = 6.13762+
Found by Jonathan Viquerat
in June 2026.
16.

s = 6.21438+
Found by Jonathan Viquerat
in June 2026. 		           17.

s = 6.35725+
Found by Jonathan Viquerat
in June 2026. 		           18.

s = 6.43141+
Found by Jonathan Viquerat
in June 2026.
19.

s = 6.44803+
Found by Jonathan Viquerat
in June 2026. 		           20.

s = 6.99822+
Found by Jonathan Viquerat
in June 2026.