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>> No.12233312 [View]
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12233312

>The history of all hitherto existing geometry is the history of Euclidean Geometry.

>Point and line, angle and magnitude, fraction and line-segment, plane-figure and geometrical object, in a word, organizer and organized, stood in constant opposition to one another, carried on an uninterrupted, now hidden, now open fight, a fight that each time ended, without a revolutionary reconstitution of geometry at large, to the common ruin of mathematics.

>In the earlier epochs of history, we find almost everywhere a complicated arrangement of shapes into various orders, a manifold gradation of vegetation. In ancient Rome we have the coastline of Britain and the infinite similarities of shucks of corn; in the Middle Ages, infinite self similarity within the churches and mosques of Europe; in almost all of these cases, again, subordinate gradations...


Is there any other book that conveys such a sense of revolutionary grandeur as The Fractal Geometry of Nature?

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