I once was presented with a set of 4 cubes each having a different net configuration.

The object was to place the cubes in a line such that no face within any of the four rectangles so formed contained the same colour within that rectangle.
Then too, no colour was orthogonally adjacent to a face of the same colour in an adjoining rectangle.
Lastly the end faces of the composite prism were both different to each other and not repeated within the rectangular faces.

		A				B				C				D
		4				2				1				6
		3				3				3				3
	5	2	3		1	4	6		4	2	2		2	4	4
		4				5				5				5
						j	k	l	m
					A	A	A	A	A	A
Caution: This is not an on-line interactive presentation.

The table above shows a set of cubic nets. Replace j, k, l & m with an appropriate label A, B, C or D to indicate the net used.

Additionally add just one digit to each cell in compliance with those nets so that each row along with the end values contains unique values.

(In reply to computer solution by Charlie)

The eighth solution in the first row of my set of solutions, when the middle two cubes are interchanged, and the whole set rotated 180° about the main axis, is the one presented in the official solution.

Posted by Charlie on 2009-08-12 18:24:49