Numbers in (red) are total possible solutions for this shape.Notes:This 1x6x9 uses the 1x3x4 but there are very few other sub shapes used in the solution count of 36. The 1x6x10 is very hard with only 4 possible solutions and no sub shapes used. At least the total amounts to 60 construction cubes so it is very easy to figure out which piece to throw away when attempting this shape. It's the one that has an equal number of black and white cubes. Very important when dealing with those near impossible 3D shapes - count the cubes and the colors and figure out which piece cannot be part of the shape.

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