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So, you have to assign 3 bit number to each corner of the cube. Consider the geometry of the cube and represent each binary digit as one of the three axis x,y,z and choose value as 0 or 1 depending on the alignment of the cube in that direction. In this way you can assign binary digits to the cube. Now the beauty of this is that if you travel through the cube covering each corner at most one it will generate a 3 bit Gray code.
- gauravk.18 March 31, 2008