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Mathematical model
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Mathematical model
Mathematical model. Computer model of a repeated mathematical operation (iteration) to generate a random wave. The iteration involved random drawing of sets of parallel lines. The ends of these lines are seen around the edge of the pattern. Because the positioning of the lines was random, it formed this central pattern approximating a random wave. A random wave is an example of quantum chaos where quantum wavepackets are added at random. If the parallel lines had been added at regular angles, instead of at random, then a quasicrystal would have been formed (see image A900/080). Created as an artwork by Professor Eric Heller. Similar techniques were used by the artist Sol Le Witt
Science Photo Library features Science and Medical images including photos and illustrations
Media ID 6284958
© ERIC HELLER/SCIENCE PHOTO LIBRARY
Abstract Artist Artistic Chaos Circle Circular Computer Model Heller Iteration Mapping Mathematical Mathematics Maths Modelled Pattern Physicist Professor Eric Quantum Random Round Simulated Simulation Sun Flower Surface Vortex Wave Waves Physical
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EDITORS COMMENTS
This print showcases a mesmerizing mathematical model, created by Professor Eric Heller as an artwork. The image represents a computer-generated iteration process that generates a random wave through the random drawing of sets of parallel lines. As we observe the pattern, we can see the ends of these lines subtly appearing around the edge, forming a central design that approximates a beautiful and unpredictable wave. The concept behind this mathematical model is rooted in quantum chaos, where quantum wavepackets are added at random to create a truly unique and intricate composition. Had the parallel lines been added at regular angles instead of randomly, it would have resulted in the formation of a quasicrystal. This artwork not only demonstrates the fusion between art and science but also pays homage to renowned artist Sol Le Witt who employed similar techniques in his own creations. The circular shape resembling a sunflower adds an artistic touch to this abstract representation while highlighting its connection to nature. With its simulated and modeled elements, this image serves as both an illustration and research tool for physicists studying waves, mathematics, and quantum phenomena. Its vibrant colors and intricate details make it visually striking while inviting viewers into the fascinating world of mathematical simulations.
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