The Fibonacci sequence, the Golden Mean, Nautilus shells, sunflowers, dragonfly wings...if this grouping brings smile to your face, then check out the short film Nature by Numbers" from Etérea Studios (h/t: Colin Seymour):
When you're done drooling over the beautiful artistry, check out the beautiful science behind it.

Dude, thanks for posting. Absolutely beautiful, even with the artistic leeway on the nautilus spiral. I needed something to reminded me that the world is indeed a gorgeous place. :)