The Golden Relationship: Universal patterns

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Pythagorean Press, Aug 1, 1990 - Art - 266 pages
In the series, The Golden Relationship: Art, Math & Nature, the common denominator is space. "Nature is relationships...,geometry describes relationships...,art creates relationships in space." Geometry, beyond theorems & proofs, is a powerful tool for approaching design problems, while art allows for the physical realization of geometric ideas. With their union, mathematics is given a forum for displaying its beauty & art for expressing its logic. For readers with limited experience with mathematics & art, the authors write to demystify the disciplines while showing nature as the source of both. The texts are elegantly & accurately illustrated with equal emphasis on visual & written information. Chapters contain problems to reinforce mathematical concepts, & project suggestions offer experiences for structuring artworks. Diagrams augment the glossary & appendices provide extended content. Book 1, UNIVERSAL PATTERNS, examines certain triangles, rectangles, spirals, & number sequences that relate to recurring patterns in nature. Book 2, THE SURFACEPLANE, plays out these patterns on the two dimensional surface, focusing on grids, symmetry, circles, tilings, fractals, & pliability. In both volumes, the concept of the Golden Ratio is the spatial thread that weaves the ideas into a unified fabric.

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Basic Constructions
Congruent Line Segments
Congruent Angles

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