Triangles in Octagons

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

1.
           2.
           3.
s = .46470+
Trivial.
  		s = √3/√(4+2√2) = .66282+
Trivial.
  		s = .73651+
Found by Ignacio Vallejo
in March 2026.

4.
           5.
           6.
s = .77733+
Found by Ignacio Vallejo
in March 2026. 		s = .80367+
Found by Ignacio Vallejo
in March 2026. 		s = .81574+
Found by Ignacio Vallejo
in March 2026.

7.
           8.
           9.
s = .92453+
Found by Ignacio Vallejo
in March 2026. 		s = .98782+
Found by Ignacio Vallejo
in March 2026. 		s = 1.00875+
Found by Ignacio Vallejo
in March 2026.

10.
           11.
           12.
s = 1.07565+
Found by Ignacio Vallejo
in March 2026. 		s = 1.14571+
Found by Ignacio Vallejo
in March 2026. 		s = 1.19929+
Found by Ignacio Vallejo
in March 2026.

13.
           14.
           15.
s = 1.23759+
Found by Ignacio Vallejo
in March 2026. 		s = 1.27677+
Found by Ignacio Vallejo
in March 2026. 		s = 1.30275+
Found by Ignacio Vallejo
in March 2026.

16.
           17.
           18.
s = 1.34584+
Found by Ignacio Vallejo
in March 2026. 		s = 1.38964+
Found by Ignacio Vallejo
in March 2026. 		s = 1.41836+
Found by Ignacio Vallejo
in March 2026.

19.
           20.
           21.
s = 1.46749+
Found by Ignacio Vallejo
in March 2026. 		s = 1.49832+
Found by Ignacio Vallejo
in March 2026. 		s = 1.52615+
Found by Ignacio Vallejo
in March 2026.

22.
           23.
           24.
s = 1.55545+
Found by Ignacio Vallejo
in March 2026. 		s = 1.58458+
Found by Ignacio Vallejo
in March 2026. 		s = 1.60261+
Found by Ignacio Vallejo
in March 2026.

25.
           26.
           27.
s = 1.63797+
Found by Ignacio Vallejo
in March 2026. 		s = 1.67666+
Found by Ignacio Vallejo
in March 2026. 		s = 1.70882+
Found by Ignacio Vallejo
in March 2026.

28.
           29.
           30.
s = 1.73954+
Found by Ignacio Vallejo
in March 2026. 		s = 1.75576+
Found by Ignacio Vallejo
in March 2026. 		s = 1.78101+
Found by Ignacio Vallejo
in March 2026.