5. Simulation results.

The simulation was carried out by Peter Broadwell, using the software system MIMI (Mathematically Illuminated Musical Instrument) which we have developed, along with Ami Radunskaya, for our live performances of visual mathematics and music. A toral lattice of about 8,000 oscillators with Laplacean coupling (that is, the 88 x 88 cell discretization of a d'Alembertian wave equation on a two-dimensional rectangle with the opposite edges identified) was imaged by color coding the displacement (that is, the wave amplitude) on the computer screen. The simulation ran on a Silicon Graphics Iris Indigo computer, at about 10 iterations per second. The result is an animated color image on the screen, which is available in a ten-minute videotape, in which the communication potential of this kind of morphic field is clearly demonstrated.

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|| 1. Introduction || 2. Vibrations and morphogenesis || 3. Reaction-diffusion models || 4. Wave-diffusion models || 5. Simulation results || 6. Conclusion || Acknowledgments/Bibliography