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 = 2.88295+
Found by Haowei Lin in July 2026.
s = 2.93277+
Found by Haowei Lin in July 2026.


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.