selected works available
computational artifact, solution slice
 
henon phase diagram, deep resolution
processing    may, 2004    j.tarbell
a Henon Phase expansion
based on code by
Paul Bourke
 
 
    launch large java applet    
    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