Very complex geometry problem

[Sujeet Kumar]

Here is very complex geometry problem-
Q.In a regular n-gon , 8 diagonals are concurrent at a point M , which is not the center of the polygon.
Find the all possible values of n.

**You boil it in sawdust; you salt it in glue:
You condense it with locusts and tape:
Still keeping one principal object in view-
To preserve its symmetrical shape.
--Lewis Carroll**

[gudi]

in a planar n-gon, right?

Narasimham

[Sujeet Kumar]

Yes

[Philippe 92]

Dear Sujeet,

According to a paper by Bjorn Poonen and Michael Rubinstein
"the number of intersection points made by the
diagonals of a regular polygon"
available at Arxiv http://arxiv.org/pdf/math/9508209

"In particular, it is impossible to have 8 or more diagonals of
a regular n-gon meeting at a point other than the center."

Best Regards.

[Sujeet Kumar]

Can we not simplify that paper?My aim was that someone gives some idea easier to grasp more importantly something more pure geometric.
You had mentioned another 2 papers by C. Tripp and J.F.
Rigby also mentioned in this paper.
Can you tell, how to get these papers?
Best Regards