I found an awesome site which helps in the plotting of any kind of function.One of the standard graphs was this "θ=r" (The site has that function in default after a few tabs).Visit: Graph.tk
First it looked spiral,I was quite fascinated by that because i have only come of curves and linear functions but never a graph like that.I keep zooming out (Scroll Bar) and it seems to show amazing patters! Unbelievable patters! It sows so much symmetry that i could only dream how mathematicians could explain this!
Look at a few screen shots which i took after some time of zooming out.And I'm sure these are not the best.If any one had the patience we could even try finding out more amazing patterns and try thinking of how to approach,to explain this problem..lol
The Beauty of Math!