Octagons in Pentagons
The following pictures show n unit octagons inside the smallest known pentagon (of side s).

1.

s = 1.87981+
Trivial.
  		           2.

s = 3.35605+
Found by Jonathan Viquerat
in May 2026. 		           3.

s = 3.74412+
Found by Jonathan Viquerat
in May 2026.

4.

s = 4.10126+
Found by Jonathan Viquerat
in May 2026. 		           5.

s = 4.33300+
Found by Jonathan Viquerat
in May 2026. 		           6.

s = 4.77007+
Found by Jonathan Viquerat
in May 2026.

7.

s = = 5.25544+
Found by Jonathan Viquerat
in May 2026. 		           8.

s = 5.61662+
Found by Jonathan Viquerat
in May 2026. 		           9.

s = 5.96580+
Found by Jonathan Viquerat
in May 2026.

10.

s = 6.28146+
Found by Jonathan Viquerat
in May 2026. 		           11.

s = 6.46576+
Found by Jonathan Viquerat
in May 2026. 		           12.

s = 6.71763+
Found by Jonathan Viquerat
in May 2026.

13.

s = 6.97062+
Found by Jonathan Viquerat
in May 2026. 		           14.

s = 7.16083+
Found by Jonathan Viquerat
in May 2026. 		           15.

s = 7.36431.+
Found by Jonathan Viquerat
in May 2026.

16.

s = 7.61541+
Found by Jonathan Viquerat
in May 2026. 		           17.

s = 7.91420+
Found by Jonathan Viquerat
in May 2026. 		           18.

s = 8.12590+
Found by Jonathan Viquerat
in May 2026.

19.

s = 8.34358+
Found by Jonathan Viquerat
in May 2026. 		           20.

s = 8.54352+
Found by Jonathan Viquerat
in May 2026.