IBM Research | Ponder This | September 1998 challenges

Ponder This

September 1998

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Ponder This Challenge:

A six-pointed star is drawn with six lines and twelve vertices. Arrange the integers 1 through 12, one on each vertex, so that the four integers on each line add to 26.

An example is given below but the numbers are wrong.

The left-hand vertical line adds up correctly: 1+2+12+11=26, but the line 9+2+10+7=28 does not.

FYI: Although this problem may appear simple at first, the solution is actually fairly complex.

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Challenge: 09/01/98 @ 12:00 AM EST
Solution: 10/01/98 @ 12:00 AM EST
List Updated: 12/13/01 @ 9:00 AM EST