Triangles in Dominoes

The following pictures show n unit equilateral triangles packed inside the smallest known domino (of shortest side length s).

1-2.

s = √3/2
Trivial.
  		           3.

s = .96796+
Found by Jonathan Viquerat
in April 2026. 		           4.

s = 1.12036+
Found by Jonathan Viquerat
in April 2026.

5.

s = 1.26315+
Found by Jonathan Viquerat
in April 2026. 		           6.

s = 1.37629+
Found by Jonathan Viquerat
in April 2026. 		           7.

s = 1.49076+
Found by Jonathan Viquerat
in April 2026.
8.

s = 1.56293+
Found by Jonathan Viquerat
in April 2026. 		           9.

s = 1.64882+
Found by Bhavithran Ananthan
in July 2026. 		           10.

s = 1.68302+
Found by Aapo Lipponen
in July 2026.
11.

s = 1.72969+
Found by Joshua Wolk
in September 2026. 		           12.

s = 1.74022+
Found by Jonathan Viquerat
in September 2026. 		           13.

s = 1.85319+
Found by Jonathan Viquerat
in April 2026.
14.

s = 3(3–√3)/2 = 1.90192+
Found by Jonathan Viquerat
in April 2026. 		           15.

s = 1.97875+
Found by Joshua Wolk
in September 2026. 		           16.

s = 2
Found by Jonathan Viquerat
in April 2026.
17.

s = 2.10306+
Found by Jonathan Viquerat
in April 2026. 		           18.

s = 2.14913+
Found by Jonathan Viquerat
in April 2026. 		           19.

s = 2.24321+
Found by Thomas Schadt
in September 2026.
20.

s = 2.29729+
Found by Aapo Lipponen
in July 2026. 		           21.

s = 2.36065+
Found by Thomas Schadt
in September 2026. 		           22.

s = 2.40089+
Found by Joshua Wolk
in September 2026.
23.

s = 2.45223+
Found by Joshua Wolk
in September 2026. 		           24.

s = 2.47803+
Found by Joshua Wolk
in September 2026. 		           25.

s = 2.51458+
Found by Joshua Wolk
in September 2026.
26.

s = 2.54759+
Found by Thomas Schadt
in September 2026. 		           28.

s = 2.56837+
Found by Thomas Schadt
in September 2026. 		           28.

s = 2.59434+
Found by Thomas Schadt
in September 2026.
29.

s = 2.64841+
Found by Thomas Schadt
in September 2026. 		           30.

s = 2.69222+
Found by Thomas Schadt
in September 2026. 		           31.

s = 2.72708+
Found by Thomas Schadt
in September 2026.
32.

s = 2.77024+
Found by Thomas Schadt
in September 2026. 		           33.

s = 2.84139+
Found by Thomas Schadt
in September 2026. 		           34.

s = 2.87515+
Found by Thomas Schadt
in September 2026.
35.

s = 2.91827+
Found by Thomas Schadt
in September 2026. 		           36.

s = 2.96585+
Found by Thomas Schadt
in September 2026. 		           37.

s = 3.00891+
Found by Thomas Schadt
in September 2026.
38.

s = 3.05515+
Found by Thomas Schadt
in September 2026. 		           39.

s = 3.10039+
Found by Thomas Schadt
in September 2026. 		           40.

s = 3.13895+
Found by Thomas Schadt
in September 2026.
41.

s = 3.17722+
Found by Thomas Schadt
in September 2026. 		           42.

s = 3.21847+
Found by Thomas Schadt
in September 2026. 		           43.

s = 3.25011+
Found by Thomas Schadt
in September 2026.
44.

s = 3.28461+
Found by Thomas Schadt
in September 2026. 		           45.

s = 3.31131+
Found by Thomas Schadt
in September 2026. 		           46.

s = 3.33134+
Found by Thomas Schadt
in September 2026.
47.

s = 3.36472+
Found by Thomas Schadt
in September 2026. 		           48.

s = 3.38757+
Found by Thomas Schadt
in September 2026. 		           49.

s = 3.41214+
Found by Thomas Schadt
in September 2026.
50.

s = 3.43805+
Found by Thomas Schadt
in September 2026.