May 11, 2007

Fractals

I recently stumbled across this amazing website - Fractal World Gallery

Curiosity lead me to wikipedia for some quick education:
Wikipedia: Fractals This is amazing stuff! Click on the self-similar link on the wikipedia page and also on Koch snowflake.

A fractal as a geometric object generally has the following features:
- It has a fine structure at arbitrarily small scales.
- It is too irregular to be easily described in traditional Euclidean geometric language.
- It is self-similar (at least approximately or stochastically).
- It has a Hausdorff dimension which is greater than its topological dimension (although this requirement is not met by space-filling curves such as the Hilbert curve).
- It has a simple and recursive definition.

All I can do is praise and give God glory for His amazing creation. Finite mathematics that show us a glimpse of infinity. Not that God or infinity/eternity are self-similar or repetitive... just the concept of limitlessness (is that a word?).
Which brings me to think about eternity... When I ponder thoughts of heaven, thanks to Peter Hubbard's sermon, I can only think of NO CLOY!!!!

"He shall be the end of our desires who shall be seen without end, loved without cloy, praised without weariness." Augustine

Posted by tomglass at May 11, 2007 10:18 AM