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Golden Section

32 33 My cuP runneTh over half full or half empty After careful study of Egyptian and Greek art, and what he called the architecture of plants, shells, man, and the five regular solids, Jay Hambidge developed a theory of dynamic symmetry, in which the same principle of selfsimilar growth of areas was found displayed throughout natures living form rhythms. He maintained that the dynamism was to be discovered in incommensurable lines that were commensurable in square, i.e., in area. Thus the ratios of 2, 3 and 5 became central to his work, with a special place for the whirling squares established in spiral rotation in the continued reduction of the golden rectangle see cover picture. Hambidges geometrical analyses of various items of Greek pottery are shown below and opposite and his full set of designer rectangles is shown later appendix IV, page 56. It has been claimed that Hambidge had a rectangle for everything, and that potters would have struggled to meet his exacting standards, but this is not to detract from his sincerity or his scholarly credentials. There are certain lessons that may be drawn here students of this subject may experience excessive enthusiasm over all things golden or, conversely, suffer complete skepticism and ossification.
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