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Re: Can You Solve This $500 Puzzle?
Posted:
Aug 12, 2012 8:14 AM


> YWorld, the collaborative network for professionals, > loves Math. To debut one of our selective groups, the > Puzzle Breaker Club, we're posting a deceptively > simple puzzle for the world to solve. If you think > you have what it takes to crack this geometric > puzzle, try your skills at: > http://www.YWorld.com/puzzle
I think the number of maximal sets of nonintersecting diagonals for 11gon is 29, or F(11) = 29 .
By inspection we obtain following data: F(5) = 1, F(6) = 3, F(7) = 4, F(8) = 7. According to these data we have to do with a Fibonaccilike sequence, F(n) = F(n1) + F(n2). So, if we extrapolate the obtained data we can write:
F(9) = 11, F(10)= 18, F(11)= 29.
Best regards, Avni



