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The Molecube (Posted on 2007-05-01) Difficulty: 4 of 5
Visiting Dr I.N.Atom I saw eight 2x2x2 transparent cubes on his work bench. Each cell held a small numbered sphere.

He called each of these a 'cubatom'. When properly put together they made a 'molecube'. This he said was a perfect cube.

He left me to puzzle over the scene. Before leaving however he did mention that all of the cubes were the right side up (for our purposes the bold numbers in the graphic are those on top.)

The cubes in the graphic are aligned as such:
   /\
  /  \
 |\  /|
 | \/ |
  \  /
   \/

So? What was I expected to deduce from this?

1

16

4

13

14

8

8

3

9

9

15

5

5

2

12

12

11

11

13

6

6

4

10

10

16

7

7

1

2

15

3

14

4

2

6

14

15

5

5

7

7

13

9

15

3

11

11

1

10

10

16

14

12

12

4

16

6

2

8

8

3

1

9

13

See The Solution Submitted by brianjn    
Rating: 3.7500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Some possilbe deducements | Comment 3 of 4 |

  • The numbers for each (2x2x2) molecube totals to 68.
  • Each molecube can be divided into hemi-molecubes (2x2x1) (bottom & top -- or left & right) that have numbers that total to 34.
  • For each (2x2x1) hemi-molecube (front & back), identical numbers appear on either both the bottom-left cell and the top-right cell or both the bottom-right & the top-left.
  • For each (2x1x1) hemi-demi-molecube, the numbers on the top total to either 9, 15, 19, or 25; and the numbers on the bottom total to 13, 19, 21, or 25.


  Posted by Dej Mar on 2007-05-02 15:47:00
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