I wonder why there are no valid patterns for 87 stars?
Same with 69 stars, must be a mathematical error not a actual arrangement problem.
* * * * * * * * *
* * * * * * * *
* * * * * * *
* * * * * * *
* * * * * * *
* * * * * * *
* * * * * * *
* * * * * * * *
* * * * * * * * *
(Copied from my reddit comment: http://www.reddit.com/r/math/comments/cd6v6/a_mathematician_...)