Number the corners of a cube from 1 to 8, so that the sum of the four corners of every face is the same.

(In reply to re: 144 solutions to this problem by Charlie)

Here are the six cubes in 3-D. The first set of stereo pairs is designed for looking "through the screen, as at the stereograms at the mall a few years ago, looking at the left column with the left eye and the right column with the right eye.  It helps to be nearsighted or have reading glasses for this method.

                 1        8      1        8
                   4    5           4    5
                   7    2           7    2
                 6        3      6        3

                ------------    ------------

                 1        8      1        8
                   4    5           4    5
                   6    3           6    3
                 7        2      7        2

                ------------    ------------

                 1        8      1        8
                   6    3           6    3
                   4    5           4    5
                 7        2      7        2

                ------------    ------------

                 4        5      4        5 
                   1    8           1    8   
                   6    3           6    3   
                 7        2      7        2 
                                
                ------------    ------------
                                
                 4        5      4        5 
                   1    8           1    8   
                   7    2           7    2   
                 6        3      6        3 
                                
                ------------    ------------
                                
                 6        3      6        3 
                   1    8           1    8   
                   7    2           7    2   
                 4        5      4        5 
                                
                ------------    ------------
                
                

For those who are young and not nearsighted, the cross-eyed method would work best, given below, for viewing the left column with the right eye and the right column the left eye.

                 1        8      1        8                
                   4    5         4    5
                   7    2         7    2
                 6        3      6        3

                ------------    ------------

                 1        8      1        8
                   4    5         4    5
                   6    3         6    3
                 7        2      7        2

                ------------    ------------

                 1        8      1        8
                   6    3         6    3
                   4    5         4    5
                 7        2      7        2

                ------------    ------------

                 4        5      4        5 
                   1    8         1    8   
                   6    3         6    3   
                 7        2      7        2 
                                
                ------------    ------------
                                
                 4        5      4        5 
                   1    8         1    8   
                   7    2         7    2   
                 6        3      6        3 
                                
                ------------    ------------
                                
                 6        3      6        3 
                   1    8         1    8   
                   7    2         7    2   
                 4        5      4        5 
                                
                ------------    ------------
                
                

In either method, you'll see three columns, the middle of which is in 3-D.               

Edited on November 29, 2007, 3:40 pm

Posted by Charlie on 2007-11-29 15:35:49