An eye for fractals: a graphic & photographic essay
Fractional geometry posits that a natural visual complexity can arise from iteration of simple rules and simple shapes. An Eye for Fractals is a fascinating study of the converse premise: that nature’s complexity implies an underlying simplicity that can be traced back to fractal geometry.The book effectively integrates art with science, illustrating the natural occurrence of mathematics and geometry in lava flows, kelp beds, cloud formations and aspen groves. The book is enhanced with more than 150 photographs and drawings, including some color illustrations. An Eye for Fractals is a beautiful introduction to fractal geometry, a graphic, visual approach that should appeal to all who feel the fascination of this artful mathematics.
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Fractals: The Patterns of Chaos : a New Aesthetic of Art, Science, and Nature
Limited preview - 1992
Ansel Adams Anza Borrego Desert Arastradero Preserve artistic Aspens attracted to infinity attractor point Barnsley behavior Benoit Mandelbrot Bifurcation Diagram California chaos circle collage theorem color complex number complex plane computer graphics Curie Curves cycles dimension 2.9 dimensional dust equation EYE FOR FRACTALS fern formations frac fractal dimension fractal geometry fractal structure grid growth rate H. O. Peitgen imaginary number itera iteration of simple Iterations 50 Julia sets Kelp Pool Koch snowflake landscape linear Lobos log(n log(number of pieces M. F. Barnsley Mandelbrot set mathematics matter Maui ment rule midpoint natural world nonlinear North Cascades number of iterations outline Pahoehoe painting phase transition photograph physics population R-square random range of scale real number replacement rule result Road to Hana Rock Form self-similar sense shape Sierpinski triangle Sierra Nevada simple rules sion square starting point three transformations tions trans tree Utah visual cortex Wheeler Peak zero zoom sequence