This blog post was inspired by the Hubski logo

Nice post Jowser, you might be interested in veen's How to build a Hubski logo with math post. mike, I know you are busy converting an old Viking fortress in to a haven for mathematics, but if you get a moment, check out Jowser's post.

- What if the inner circle could be a different size to the outer circles?

When you alter the size of the inner circle, the equilateral triangle becomes an isosceles triangle at the center of the inner circle. The angle at the inner circle depends on the distance between the center of the inner circle and the center of the outer circles. The smaller the distance, the more obtuse the angle, thus less circles fit around. A greater distance due to a larger center circle makes for a more acute angle and thus more circles can fit around the center circle. I'm not sure if what I just said is very clear, but that would be my reasoning of what happens when you change the size of the inner circle. Not a very mathematical explanation, but it makes sense to me.

Nice article, I'll be waiting for part 2

Cool stuff. Reminds me of a book I've read. "Nature's Numbers - The Unreal Reality of Mathematics" by Ian Stewart. In the book, Stewart relates structures in nature that are a direct result of this packing of circles (and spheres).

I just looked it up, and found a PDF file of the book. I found it to be an easy, but fascinating read. Here's the link to the PDF.

http://cismasemanuel.files.wordpress.com/2010/02/ian-stewart...