I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid – a term used in this work to denote all of standard geometry – Nature exhibits not simply a higher degree but an altogether different level of complexity … The existence of these patterns challenges us to study these forms that Euclid leaves aside as being “formless,” to investigate the morphology of the “amorphous.”

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“I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid – a term used in this work to denote all of standard geometry – Nature exhibits not simply a higher degree but an altogether different level of complexity … The existence of these patterns challenges us to study these forms that Euclid leaves aside as being “formless,” to investigate the morphology of the “amorphous.””

 

Benoit Mandelbrot

I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid – a term used in this work to denote all of standard geometry – Nature exhibits not simply a higher degree but an altogether different level of complexity … The existence of these patterns challenges us to study these forms that Euclid leaves aside as being 'formless,' to investigate the morphology of the 'amorphous.'