 | James B. Bassingthwaighte, Larry S. Liebovitch, Bruce J. West - 1994 - 382 lapas
...Summary 327 Works Cited 328 Index 355 Parti Overview 1 Introduction: Fractals Really Are Everywhere Clouds are not spheres, mountains are not cones, coastlines...smooth, nor does lightning travel in a straight line. Mandelbrot (1983) 1 . 1 Fractals Are Everywhere Fractals and chaos bring to us new sets of ideas and... | |
 | Lines M E - 1994 - 304 lapas
...behaved' geometries, the real world actually abounds with fractal objects. In his now famous words 'clouds are not spheres, mountains are not cones, coastlines are not circles, bark is not smooth, nor does lightning travel in a straight line'. In fact, each of these objects contains... | |
 | Carl Bovill - 1996 - 228 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. Mandelbrot's fractal geometry has the capability of describing the cascade of detail observed in these... | |
 | Robert W. Keidel - 1995 - 230 lapas
...geometry. Chiefly the brainchild of mathematician Benoit Mandelbrot, fractal geometry recognizes that "Clouds are not spheres, mountains are not cones,...smooth, nor does lightning travel in a straight line."" Neither is measurement always what we take it to be. Mandelbrot asks rhetorically, "How long is the... | |
 | Elizabeth West Marvin - 2002 - 468 lapas
...the full complexity and diversity of natural forms — cloud-formations, trees, streams, coastlines. "Clouds are not spheres, mountains are not cones, coastlines are not circles . . . Many patterns of Nature are so irregular and fragmented, that compared with Euclid — a term... | |
 | M.C.K. Khoo - 2007 - 256 lapas
...circles, and geometrical figures"1. In contrast to this perspective, Benoit Mandelbrot claimed that "Clouds are not spheres, mountains are not cones,...not smooth, nor does lightning travel in a straight line"2. Mandelbrot has championed the idea that nature does not necessarily have to adhere to man made... | |
 | M.C.K. Khoo - 2007 - 256 lapas
...circles, and geometrical figures"1. In contrast to this perspective, Benoit Mandelbrot claimed that "Clouds are not spheres, mountains are not cones,...not smooth, nor does lightning travel in a straight line"2. Mandelbrot has championed the idea that nature does not necessarily have to adhere to man made... | |
 | Eberhard Alsen - 1996 - 312 lapas
...on the inability of Euclidean geometry to describe the shape of a cloud. a coastline. or tree. Says Mandelbrot: Clouds are not spheres. mountains are...are not circles. and bark is not smooth. nor does light travel in a stratght line ... Nature exhibits not simply a higher desree hot an altogether different... | |
 | Dietrich Stauffer, H.Eugene Stanley - 1996 - 244 lapas
...Bespeaking the knowledge possessed by every child and every great painter, Mandelbrot has observed, "Clouds are not spheres, mountains are not cones, coastlines are not circles, bark is not smooth, nor does lightning travel in a straight line." What Mandelbrot has named fractal... | |
 | Thomas Jackson Rice - 1997 - 228 lapas
...remarks, are resolutely nonlinear (Dreams of Reason 73). In the often quoted words of the mathematician Benoit Mandelbrot, "Clouds are not spheres, mountains...smooth, nor does lightning travel in a straight line" (1). (Mandelbrot's fractal geometry, which makes the representation and pictorial description of chaos... | |
| |
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. 
