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The STAR-9 CHALLENGE

designed by Kate Jones as a gift for
the attendees of the 9th Gathering for Gardner,
Atlanta, GA — March 24-28, 2010
 

The Star-9 Challenge uses a 9-pointed star and digits 1 through 9. Puzzlers are asked to cut out the numbers provided and place them on the points of the star to solve several puzzle tasks.
 

The 9-pointed star graph and 9 numbers

Cut out the 9 numbers and place them on the circles of the star to solve the listed puzzles.


 
The challenge offered here uses a 9-pointed star drawn with a continuous series of straight lines. Each point of the star has a circle connected to four other circles. Arrange the nine numbers in those circles to meet the following conditions:

  1. Arrange the numbers in the circles around the star so that a maximum of neighboring pairs have the same sum [easy].

  2. Arrange the numbers in the circles so that every group of four circles connected to a given number adds up to a different sum. There will be 9 different sums. Do not add in the number itself to which they are connected.

  3. Solve problem 2 so that the 9 sums have the longest string of consecutive integers.
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