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Dear Prof Randy

http://en.wikipedia.org/wiki/Rubik's_Cube

Game Modification

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Instead of Same Color Patterns in each face, every face is identified with Identical Numbers Patterns.

Cube

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Face 1 : Even Numbers

2 4 6

8 10 12

14 16 18

Face 2 : Odd Numbers

1 3 5

7 9 11

13 15 17

Face 3 : - Negative Numbers

-1 -2 -3

-4 -5 -6

-7 -8 -9

Face 4 : Square Numbers

1 4 9

16 25 36

49 64 81

Face 5 : Prime Numbers

2 3 5

7 11 13

17 19 23

Face 6 : Square Root

√1 √4 √9

√16 √25 √36

√49 √64 √81

Require your inputs and suggestions regarding this Modified Cube Number Puzzle.

Awaiting your reply,

Thanks & Regards,

Prashant S Akerkar

Prashant: These modifications would make the Rubik's Cube extremely difficult. I don't know a lot about them, but I know they are very hard to solve already. Changing the faces to have the numbers you suggest would greatly cut down on the number of configurations possible for a solution. I suppose ultra Rubik's geeks would still find it interesting but the appeal to more normal people would be very limited.

Another observation is that the numbers just serve as markers and don't actually mean anything, i.e., one doesn't combine them in any special way such as is done in Soduko. You could just as well number the sides from 1 - 54 (with some number repeated as per your sequences). Does this suggest a 3-D Soduko games?

A worthwhile math exercise would be to calculate and compare the number of solutions, compared to all possible permutations/combinations, for both the same-color-per-face and your numeric version. Note that your version has multiple solutions based on the fact that several numbers appear on more than one face (eg., 1, 3, 5, 13, etc.).

Randy

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Comment | Dear Prof Randy Thank you. Thanks & Regards, Prashant S Akerkar |

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