Tetrahedra in Cubes
The following pictures show n unit tetrahedra packed inside the smallest known cube (of side s).

1.
           2.
s = 1/√2 = .70710+
Trivial. 		s = 2√2/3 = .94280+
Trivial.

3.
           4.
s = 1
Found by Achille Hui in February 2016. 		s = 1.14233+
Found by Riain Walsh in June 2026.
5.
           6.-8.
s = 1.22999+
Found by Riain Walsh in June 2026. 		s = √2 = 1.41421+
Found by Riain Walsh in June 2026.
9.
           10.
s = 1.75495+
Found by Riain Walsh in June 2026. 		s = 1.79102+
Found by Riain Walsh in June 2026.