By Jay Kappraff
This ebook comprises essays that stand all alone yet also are loosely attached. half I records how numbers and geometry come up in different cultural contexts and in nature: the traditional musical scale, share in structure, historical geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of organic varieties. the point of interest is on how convinced numbers, akin to the golden and silver skill, current themselves inside those structures. half II indicates what percentage of an analogous numbers and quantity sequences are regarding the fashionable mathematical examine of numbers, dynamical structures, chaos, and fractals.
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Extra info for Beyond measure: a guided tour through nature, myth, and number, Edition: 1st
In spite of the ceaseless flow of the stream and its swirling nature as it moves around stones and boulders, the flow pattern is stationary. The same wave forms remain behind the same rocks. O n the other hand, in the open sea, the wave form wanders across the surface, allowing the water to remain in the same place. As an experiment, throw a piece of cork in the water and watch it bob up and down while the waves sweep over the surface. Schwenk notes that the wave is a newly formed third element at the surface of Chapter 1 The Spiral in Nature and Myth 13 contact between water and wind.
Copyright © 1974 by P. Stevens. B;y permission of Little Brown and Co. G. de Bruin, Kon. Ned. Akad. Wetensch. Proc. Ser. A84 (indaginationes Mathimaticae 43) 27-37. 8 From Chaos, Fractals, and Power Laws by M. Schroeder. H. Freeman. Used by permission. 3 P. Bak and R. Bruinsma, Phys. Rev. Lett. 49, 249-251. Part I Essays in Geometry and Number as They Arise in Nature, Music, Architecture and Design This page is intentionally left blank 1 The Spiral in Nature and Myth The ocean wave... in essence is a kind of ghost Freed from materiality by the dimension of time.
Conception is portrayed by the passing into the uterus of one of these spirit babies. Since every individual existed prior to his life in a specific territorial center, he considers himself more intimately linked to the place of his conception than that of his birth. Dances are used to reenact this creation story. In the Bamba ceremony of the Walbirti, a pole about three feet high is erected and, like the dance that follows, is intended to increase the ant species. First a hole is dug and water poured on the ground.