Fibonacci Spiral of a Pine Tree

Pine
A dead pine tree I found that had split along its Fib spiral growth path as it dried out. If you look closely you can see how the branches resonated out along either side of the spiral. Read More...

Inosculation of a Tree Trunk

Inosculation
When two trees grow together it's called inosculation. Read More...

Phi-Damping Locations in a Standing Wave

Phi-Damping Read More...

The Phi-Damping Well

Well Read More...

The Pentagram & Fibonacci Series

Pentagram
One way to view the Fibonacci Series is as a recursive approximation of golden ratios in the Harmonic Series, together represented geometrically as a set of phi-recursive pentagrams. Read More...

Golden Triangle of the Larynx

Larynx
Those interested in the anatomy of the larynx and process of vocalization will like the following anatomy lesson. Read More...

Mineral Crystallization and the Golden Ratio

Mineral
Ancient philosophers believed God slept in rocks. These golden spirals in a Bismuth crystal form little G's as if searching for God. Read More...

Phi-Recursive Heterodyning

PhiRecursive
This is an illustration of "phi-recursive heterodyning" demonstrating how harmonics emerge from the golden ratio by following the Fibonacci series backward. Read More...