HENON.PHASE.DEEP

a Henon Phase expansion
based on code by Paul Bourke

In hopes and fears of something unknown, we travel deep into the Henon strange attractor (see Henon Phase).

All of the images on this page were created by exposing the traveling patterns of particles over long periods of time. The particles are trapped in the simple, but elegant strange attactor as defined by the following transformations:

x_n+1 = x_n cos(a) – (y_n – x_n²) sin(a)
y_n+1 = x_n sin(a) + (y_n – x_n²) cos(a)

For this series images, I zoomed in and focused on regions away from the center. The regions were chosen at random, but in every case, the centerpoint is outside the viewing window.

Subtle changes in the phase constant, defined by the value of a, produce interesting regions to explore.

0000 high detail zoom into south western region zoom, 10 million pixel exposures

0000 further detail of highlighted region above

---