Computers and the imagination: Visual adventures beyond the by Clifford A Pickover

By Clifford A Pickover

Fresh books via James Gleick, Martin Gardner, and Benoit Mandelbrot have made the themes of Chaos concept and fractals an essential component of the terrain for the pc literate. they've got proven the revolutionizing function of the visualization of advanced mathematical information. desktops and the mind's eye pushes the journey one step further.

Pickover, a well known technological know-how author whose paintings has been featured in such varied courses as ArtForum, OMNI, clinical American, and desktops in Physics, examines the manifold ways that visualization transforms how we either understand and comprehend the area round us. pcs and the mind's eye encompasses a variety of themes from the how-to development of synthetic spider webs to pain-inducing styles to computer-generated poetry. alongside the best way, Pickover mockingly makes use of the computer—a machine—to achieve new insights into the very origins of human creativity.

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If you had a tower of books as high as these spires, how many feet could the books be made to travel in a horizontal direction. Chapter 7 Building Your Own Artificial Webs 7 / all mankind were to disappear, the world would regenerate back to the rich state o f equilibrium that existed 10,000 years ago. I f insects were to vanish, the environment would collapse into chaos. ” Edward O. Wilson, 1990 A few years ago, while walking through a Connecticut woodlot, I became curious about the variety of spider web structures in the forest.

Butterßy Curves. 1) on page 20 on an IBM 3090 mainframe. You should be able to compute and draw these curves using personal computers. 1) This formula describes the trajectory of a point as it traces out the butterfly’s body, p is the radial distance of the point to the origin. 1 gives an algorithmic description of how this curve can be implemented in a computer program. 1). Butterfly curves with a longer period of repetition can be created using10 10 Polar curves are represented on a coordinate system that looks a little like a polar view of the earth, with the North Pole at the graph’s center.

1986) The symmetry of M. C. Escher’s “impossible” images. Computers and Mathematics with Applications. 12B(l/2): 123-138. ) Fomenko, A. (1989) Visual and hidden symmetry in geometry. Computers and Mathematics with Applications. 17(1-3): 301-320. ) Dickson, S. (1990) Manufacturing the impossible soap bubble. IR IS Uni­ verse: The Magazine o f Visual Processing. 12: 24-29. 6. 7. 8. 9. Kurzweil, R. (1990) The Age o f Intelligent Machines. MIT Press: Cam­ bridge, Massachusetts. ) Part II SIM ULATIO N Chapter 2 Simulation: Introduction "From the standpoint o f Taoist philosophy natural form s are not made but grown, and there is a radical difference between the organic and the mechan­ ical.

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