Cubes in Cubes

Cubes in Cubes The following pictures show n unit cubes packed inside the smallest known cube (of side s). For all other values of n < 34, the trivial packing is the best known.

9-10.
11.
12.

s = 2 + 1/√2 = 2.707+
Found by Erich Friedman in 1998. s = 2.89444+
Found by Timo Berthold, et al in March 2026. s = 2 + 2√2/3 = 2.942+
Found by Erich Friedman in 1998.

13.		14.		28.-33.
s = 2.956+ Found by Erich Friedman in 1998.		s = 2 + 7√2/10 = 2.989+ Found by Erich Friedman in 1998.		s = 3 + 1/√2 = 3.707+ Found by Erich Friedman in 1998.

9-10.		11.		12.
s = 2 + 1/√2 = 2.707+ Found by Erich Friedman in 1998.		s = 2.89444+ Found by Timo Berthold, et al in March 2026.		s = 2 + 2√2/3 = 2.942+ Found by Erich Friedman in 1998.