tailieunhanh - The Aesthetics and Fractal Dimension of Electric Sheep

Many of the inorganic and aesthetic constituents evaluated in the Guidelines are known to be essential for life. Chromium, copper, fluoride, iodine, manganese, molybdenum, and selenium are essential elements in human nutrition; arsenic and nickel are considered by some researchers as essential elements. Of the aesthetic constituents, iron, chloride, calcium and magnesium (hardness), sodium and zinc are essential elements. A classification into "essential" and "toxic" elements is fraught with difficulties since as science advances, there is a constant shift of the elements from one group to the other. Toxicity is inherent in all elements, and is a. | The Aesthetics and Fractal Dimension of Electric Sheep SCOTT DRAVES RALPH ABRAHAM PABLO VIOTTI FREDERICK DAVID ABRAHAM JULIAN CLINTON SPROTT December 24 2006 Spotworks 2261 Market St 158 San Francisco CA 94114 USA Mathematics Dept. University of California Santa Cruz CA 95064 USA Politics Dept. University of California Santa Cruz CA 95064 USA Blueberry Brain Institute 1396 Gregg Hill Road Waterbury Center VT 05677 USA Physics Dept. University of Wisconsin Madison WI 53706-1390 USA Running Head Aesthetics and Fractal Dimension 1 Abstract Physicist Clint Sprott demonstrated a relationship between aesthetic judgments of fractal images and their fractal dimensions 1993 . Scott Draves aka Spot a computer scientist and artist has created a space of images called fractal flames based on attractors of twodimensional iterated function systems. A large community of users run software that automatically downloads animated fractal flames known as sheep and displays them as their screen-saver. The users may vote electronically for the sheep they like while the screen-saver is running. In this report we proceed from Sprott to Spot. The data show an inverted U-shaped curve in the relationship between aesthetic judgments of flames and their fractal dimension confirming and clarifying earlier reports. 2 1 Introduction This is a report on a new study of aesthetic judgments made by a large community participating over the internet in a collective art project the Electric Sheep created by Scott Draves. To this system we have applied the ideas of Clint Sprott of fractal dimension as an aesthetic measure. Our study thus combines the Electric Sheep of Draves and the fractal aesthetics of Sprott. The Electric Sheep home page is available from . We begin by describing the Electric Sheep network and then our project and results. In short we find the aesthetic judgments of an internet community of about 20 000 people on a set of 6 400 fractal images confirms the earlier .

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