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.
We will post the names of those who submit a correct, original solution! If you don't want your name posted then please include such a statement in your submission!
We invite visitors to our website to submit an elegant solution. Send your submission to the email@example.com.
If you have any problems you think we might enjoy, please send them in. All replies should be sent to: firstname.lastname@example.org