The first heartbeat of

It is well-known that a human heart pulses from top to bottom and back up in a twisting fashion not unlike how we might ring the water out of a dish rag.


This vortex action has a specific rhythm known as the Cardiac Cycle, popularized as the familiar waveform shown on an ECG graph. But while the heart beat has been studied in great detail, there is no scientific explanation for why it evolved to beat as it does. I would like to propose that it beats according to the recursive phi (golden ratio) proportions shown in the following diagram.


The Mandelbrot Set, a unique recursive geometry that joins the Julia Set into a closed figure, represents the precise point where chaos is balanced with order. This geometry is actually harmonic. The horizontal x-axis represents exponentially decreasing circular regions while the vertical y-axis represents the symmetrical products of positive and negative even numbers. In effect, the Mandelbrot Set is a sine wave that has been phi-damped into three circular regions of cubic powers, thus attenuating the vertical resonance of the even squares of the harmonic series. As a result, the human heart twists (or implodes) itself according to cubic powers of phi as a natural recursive rhythm.

The interesting thing for me about this is the heart actually reflects off of the end of the Mandelbrot Set as if reflecting off an infinite mirror.