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- handle: 10670/1.j208uo
- hal: hal-02904049
http://creativecommons.org/licenses/by-nc-nd/
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Simon Hantaï Luca Caciagli René Magritte Mathematical fractals art photography shadows in painting biological morphogenesis physical iteration economic dynamics Benoît Mandelbrot Fractals Nature Artefacts PhotographsSujets proches
Sets of fractional dimension Geometry, Fractal Sets, Fractal Fractal sets Fractal geometry Kinetics Dynamical systemsCiter ce document
Giuseppe Longo et al., « Among the trees: iterating geneses of forms, in art and in nature », HAL-SHS : histoire, philosophie et sociologie des sciences et des techniques, ID : 10670/1.j208uo
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In many dynamics of nature we may witness the iteration of a morphogenetic process. Mandelbrot fractals allow us to give an elegant mathematical representation of those engendered by physical processes and provide new tools for an insight into some dynamics in Quantum Physics. The art photography book, reviewed here, proposes an original perspective of the forms and shadows of trees' branches and leaves. It stresses the non-algorithmic diversity of biological morphogenesis, by adding also the artist's interpretation by double exposures and filtering techniques. Analogies with two modern figurative painters will be hinted as well as the distortion of knowledge and economic action induced by fast-trading and the search of fractal regularities in the stock-market.*** Free access: https://www.di.ens.fr/users/longo/files/iste_artsci20v4n2_1.pdf