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{{Short description|Fractal which resembles a plant}} The '''Barnsley fern''' is a [[fractal]] named after the British [[mathematician]] [[Michael Barnsley]] who first ...

...real-life objects, intricate and symmetrical illustrations, animations, [[fractal]]s and [[tessellation]]s.<ref name=":6">{{Cite journal |date=April 2021 |ti ...c.ir/en/4548/oxford-university-press-adorns-book-with-iranian-mathematical-artists-illustration/ |website=Center of International Science and Technology Coope ...

...nd art have a long historical relationship. [[List of mathematical artists|Artists have used mathematics]] since the 4th century BC when the Greek [[sculpture ...automata]]. Controversially, the artist [[David Hockney]] has argued that artists from the Renaissance onwards made use of the [[camera lucida]] to draw prec ...

...s by discovering regularities such as repetitions and [[symmetries]] and [[fractal]] [[self-similarity]]. Whenever the observer's learning process (possibly a ...hematics in the visual arts include applications of [[chaos theory]] and [[fractal]] geometry to [[digital art|computer-generated art]], symmetry studies of [ ...

[[File:Peanocurve.svg|thumb|The first three steps of a fractal construction whose limit is a [[space-filling curve]], showing that there a ...have infinite perimeters and can have infinite or finite areas. One such [[fractal curve]] with an infinite perimeter and finite area is the [[Koch snowflake] ...

[[File:Von Koch curve.gif|thumb|The [[Koch snowflake]], with [[fractal dimension]]=log4/log3 and [[topological dimension]]=1]] ...sion ([[Hilbert space]]s, for example) and positive [[real number]]s (in [[fractal geometry]]).<ref name="Temam2013">{{cite book|author=Roger Temam|title=Infi ...