 | Heinz-Otto Peitgen, Peter H. Richter - 1986 - 226 lapas
...reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines...smooth, nor does lightning travel in a straight line Nature exhibits not simply a higher degree but an altogether different level of complexity. The number... | |
 | H.-O. Peitgen - 1989 - 242 lapas
...scaling symmetry are more suitable than models with an approximate translation or rotation symmetry. "Clouds are not spheres, mountains are not cones,...smooth, nor does lightning travel in a straight line." Thus writes Mandelbrot, to whom a great deal of credit is due in these matters, who, one gets the impression,... | |
 | James E. Alatis - 1990 - 540 lapas
...next bay, the larger triangle. Consider the technical power, storage with accessibility, of CD-ROM. 4 Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor docs lightning travel in a straight line. (Mandelbrot in: Stewart 1989:215) 5 Leaves come in just a... | |
 | Ching-Yao Hsieh, Meng-Hua Ye - 1991 - 216 lapas
...thought and study were finally made by the French mathematician, Benoit Mandelbrot, who reflected: Clouds are not spheres, mountains are not cones, coastlines...and bark is not smooth, nor does lightning travel in straight lines. . . . Nature exhibits not in simply a higher degree but an altogether different level... | |
 | Robert M. Young - 1992 - 436 lapas
...and delicate symmetries visible from afar give rise on closer scrutiny to a myriad of imperfections. "Clouds are not spheres, mountains are not cones,...smooth, nor does lightning travel in a straight line." So wrote Benoit Mandelbrot on the very first page of his \9S2book The Fractal Geometry of Nature [290].... | |
 | Iversen - 1993 - 486 lapas
...Euclidian geometry is often ill,suited to describe natural objects or. as Mandelbrot t1983) states: "Clouds are not spheres, mountains are not cones,...smooth, nor does lightning travel in a straight line" tp. 9). By now fractals have been used to describe a multitude of phenomena occurring in physics, chemistry,... | |
 | Susanne Fusso - 1993 - 224 lapas
...shapes in nature. In his "casebook and manifesto," The Fractal Geometry of Nature, Mandelbrot writes: "Clouds are not spheres, mountains are not cones,...smooth, nor does lightning travel in a straight line. . . . Many patterns of Nature are so irregular and fragmented that, compared with [standard geometry,]... | |
 | Herbert Grabes, Winfried Fluck, Jürgen Schlaeger - 1993 - 350 lapas
...Benoit Mandelbrot, who succinctly dismisses Cartesianism in The Fractal Geometry of Nature (1983): "Clouds are not spheres, mountains are not cones,...not smooth, nor does lightning travel in a straight line."31 The Cartesian simplification and falsifying abstraction of reality, and the failure to account... | |
 | Nina Hall - 1994 - 244 lapas
...natural history. The folk wisdom started with observing something that even a cubist painter knows. 'Clouds are not spheres, mountains are not cones,...smooth, nor does lightning travel in a straight line.' All of these natural structures have irregular shapes that are self-similar. In other words, we discovered... | |
 | Steven R. Holtzman - 1995 - 360 lapas
...traditional geometry was "its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines...smooth, nor does lightning travel in a straight line." To address this inadequacy, Mandelbrot "conceived and developed a new geometry of nature ... [that]... | |
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Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line. 
