An Eye For Fractals: A Graphic And Photographic EssayFractional 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. |
From inside the book
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Page 55
... fern in the first iteration of the transfor- mations applied to the R - square . This is the On the next page is the fern that results from the iteration of these transformations . The old - fashioned way to store an image digitally 55.
... fern in the first iteration of the transfor- mations applied to the R - square . This is the On the next page is the fern that results from the iteration of these transformations . The old - fashioned way to store an image digitally 55.
Page 59
... fern and collaged upon it are four trans- formed copies of it . This is the result of iter- ating the transformations . Barnsley proposes a fractal approach based on the collage theorem . Fineness of detail is a matter of persistence in ...
... fern and collaged upon it are four trans- formed copies of it . This is the result of iter- ating the transformations . Barnsley proposes a fractal approach based on the collage theorem . Fineness of detail is a matter of persistence in ...
Page 60
... ferns are more obvi- ously fractal than faces , but it has been done with faces . The images on the following pages I ... fern is not obvious . Barnsley has founded a com- pany that supplies a proprietary answer to " what to do next ...
... ferns are more obvi- ously fractal than faces , but it has been done with faces . The images on the following pages I ... fern is not obvious . Barnsley has founded a com- pany that supplies a proprietary answer to " what to do next ...
Common terms and phrases
Ansel Adams Anza Borrego Desert approach to fractals Arastradero Preserve Aspens attracted to infinity attractor point Australia behavior Benoit Mandelbrot Bifurcation Diagram California circle collage theorem color complex number complex plane computer graphics Curie Curves cycles Devaney dimension 2.9 dust dynamics E. H. Gombrich equation EYE FOR FRACTALS fern frac fractal dimension fractal geometry fractal structure grid growth rate H. O. Peitgen imaginary number itera Iterations 50 Julia sets Kelp Pool Koch snowflake landscape linear Lobos log(n log(number of pieces M. C. Escher M. F. Barnsley Mandelbrot set mathematics Maui Michael Barnsley midpoint natural world nonlinear North Cascades number of iterations outline Pahoehoe painting Palo Alto photograph population R-square random range of scale real number replacement rule result Road to Hana self-similar sense shape Sierpinski triangle Sierra Nevada simple rules sion square starting point three transformations tions trans Tree visual cortex xold Yosemite zero zoom sequence