Geometry Question

[Telamond]

So this has nothing to do with maths really, the question is originally from chemistry. But I'm pretty sure that one can solve it via maths...

http://img.photobucket.com/albums/v1...amond/CpMn.gif

So what you have is a Mn that coordinates to a cyclopentadienyl (pentagon) and three carbonmonoxide ligands (orange) that are placed 120 degrees apart. As you rotate the cyclopentadienyl group, how many times will one of the corners coincide with the carbonmonoxide?

So in general terms. As you rotate the pentagon, how many times will one of the corners of the pentagon land above one of the orange points which are placed 120 degrees apart?

It's probably some super easy geometry question that a high schooler could solve... but I think I've been studying too much chemistry that I've forgotten a lot of basics about geometry and mathematics.

What I'm supposed to do next is to draw a potential energy surface where each time the corner of the pentagon coincides with the orange thing is a maxima, which then goes to a minima where it's not coinciding.

[Telamond]

NVM! Can someone delete this post please? >.<