processing    may, 2004    j.tarbell a Henon Phase expansion based on code by Paul Bourke

1000 x 1000 pixels 4000 particles

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: xn+1 = xn cos(a) - (yn - xn2) sin(a) yn+1 = xn sin(a) + (yn - xn2) 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

B0000 southern region zoom, phase constant value of 1.5686 DETAIL pixel level detail of highlight region in left image     B0001 southern region zoom, phase constant value of 1.5957 DETAIL pixel level detail of highlight region in left image     B0002 southern region zoom, phase constant value of 1.7525 DETAIL pixel level detail of highlight region in left image     B0003 southern region zoom, phase constant value of 1.7831 DETAIL pixel level detail of highlight region in left image