Chaotic reflections within a glittery eye.The structure is simple: four shiny spheres stacked like cannonballs to form a pyramid with a triangular base. The view between the spheres, however, is spectacularly complex. The three spheres of one of the pyramid's faces frame an intricate pattern of multiple reflections. Described as a fractal, that pattern displays the complexity of the paths taken by light traveling through the structure. For example, a light ray entering the inner chamber reflects from sphere to sphere in such a way that, for certain incoming paths, it's impossible to predict from which face the ray will emerge. David Sweet David S. Sweet (born June 24, 1957 in Kingston, Ontario) is a Canadian Member of Parliament who began serving his first term of office in January of 2006. He is a former CEO of Promise Keepers Canada. , Edward Ott, and James A. Yorke
James A. Yorke (born August 3, 1941) is a Distinguished University Professor of Mathematics and Physics and chair of the Mathematics of the University of Maryland University of Maryland can refer to:
Their laboratory model could prove useful for characterizing a physical phenomenon known as chaotic scattering, the researchers say. To map exit points, Sweet and his coworkers place the four-ball pyramid on a translucent translucent slightly penetrable by light rays. white sheet illuminated from below and put colored poster board outside two of the three exposed faces. A camera in the dark records light emerging from the uncovered opening on the remaining exposed face. The resulting image registers a pattern of blue, red, white, and black that depends on the light's path. A blue patch within the image, for example, would represent the paths of light rays that reflected off the blue board at some point. Conversely con·verse 1 intr.v. con·versed, con·vers·ing, con·vers·es 1. To engage in a spoken exchange of thoughts, ideas, or feelings; talk. See Synonyms at speak. 2. , when researchers aim a laser into the pyramid at a blue patch in the image, the beam produces a bright spot on the blue board, indicating where the light emerges. The image also contains boundary regions where the four colors inextricably in·ex·tri·ca·ble adj. 1. a. So intricate or entangled as to make escape impossible: an inextricable maze; an inextricable web of deceit. b. intertwine. A laser beam directed at these areas appears through all four openings because it hits all the colors. Computer simulations reveal that an infinitely narrow laser beam's path would be unpredictable. |
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