A fractal is an object semigeométrico basic structure, fragmented, or irregular, is repeated at different scales.
The term was proposed by the mathematician Benoit Mandelbrot in 1975 and derives from the Latin scud, which means broken or fractured. Many natural structures are fractal.
The term was proposed by the mathematician Benoit Mandelbrot in 1975 and derives from the Latin scud, which means broken or fractured. Many natural structures are fractal.
A fractal is a geometric object attribute the following characteristics:
It is too irregular to be described in traditional geometric terms.
Has details on any scale of observation.
It is self-similar (exact, approximate or statistically).
Its Hausdorff-Besicovitch dimension is strictly greater than its topological dimension.
Is defined by a simple recursive algorithm.
Not just one of these characteristics to define a fractal. For example, the real line is not considered a fractal, because despite being a self-similar object lacks the other required characteristics.
A natural fractal is a natural element that can be described by fractal geometry. Clouds, mountains, circulatory system, the coastlines or snowflakes are natural fractals.
This representation is approximate, since the properties ascribed to the ideal fractal objects such as infinite detail, have limits on the natural world.
A natural fractal is a natural element that can be described by fractal geometry. Clouds, mountains, circulatory system, the coastlines or snowflakes are natural fractals.
This representation is approximate, since the properties ascribed to the ideal fractal objects such as infinite detail, have limits on the natural world.
The world is fractal geometry, fractal geometry of nature is, so why not include the subject of fractal geometry in undergraduate mathematics?
I am glad you liked the talk. I assume that you heard Professor Mendieta.
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