Algorithms

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  GUTS

  Guts is a composition of many hundreds of gut instances rendered simultaneously in a radial fashion. The gut is a wandering tube like object.

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  SAND.TRAVELER

  The Sand Traveler is a rendering of 1,000 traveling particles, each in pursuit of another. Over time, patterns of travel are exposed as sweeping paths of color.

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  BOX.FITTING.IMG

  The classic box fitting algorithm (see Box Fitting) modified with an image substrate, allowing new boxes to draw color from an invisible background. The following images use tornado photography as a color substrate and approximately 2200 individually fitted boxes.

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  INTERSECTION.MOMENTARY

  The Intersection Momentary is a fun visualization defining the relationships between objects with Casey Reas, William Ngan, and Robert Hodgin. Commissioned for display at the Whitney Museum of American Art Casey suggests we write programs to visualize the same simple instructions: A surface filled with 100 medium to small sized circles.

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  INTERSECTION.AGGREGATE

  The Intersection Aggregate is a fun visualization defining the relationships between objects with Casey Reas, William Ngan, and Robert Hodgin. Commissioned for display at the Whitney Museum of American Art, the version on this page is a slight modification of the original algorithm (it simply uses color).

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  HENON.PHASE.DEEP

  a Henon Phase expansionbased 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: xn+1 = xn cos(a) – (yn – xn2) sin(a)yn+1 = xn sin(a) + (yn – xn2) cos(a)

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  HENON.PHASE

  In computing time scales, the Henon Phase is an ancient strange attractor. A point is moved through two dimensional space based on the following transformational equations: xn+1 = xn cos(a) – (yn – xn2) sin(a)yn+1 = xn sin(a) + (yn – xn2) cos(a) These images plot the phase space of the Henon system at arbitrary values of a.

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  HAPPY.PLACE

  Happy Place renders the resulting configuration of a system of friendly nodes. They are connected at random with preferences to nodes closer.

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  BIT.10001

  Exposing the paths of particles as they accelerate around an infinite numerical attractor, we see a process of flow ranging from gentle to chaotic. It is an amazing thing to render 10,001 particles, in three dimensions, in real time.

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  CUBIC.ATTRACTOR

  A minimalist modification of the City Traveler system. Cities are initiated in grid locations.

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  BUDDHA.BROT

  The Buddhabrot Set is a re-visualization of the familiar Mandelbrot Set using a technique invented by Melinda Green. Instead of selecting points on the real-complex plane, initial points are selected at random from the image region.

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  LIMB.STROKE.VARIATION.E

  Slight changes in the attributes of the limb structure produce unique species grouped structures. Fundamentally similar, yet aesthetically different, huge populations of these computational artifacts can be rendered with a single identical exposure.