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Not a very satisfactory definition, as it misses out the all-important term "self-similar"
From: http://mathworld.wolfram.com/Fractal.html
<quote> A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at all scales, but the same "type" of structures must appear on all scales. A plot of the quantity on a log-log graph versus scale then gives a straight line, whose slope is said to be the fractal dimension. </quote>
The bit about fractional dimensions needs to be added, because this extends the idea of dimensions quite considerably. --[[User:Felix|Felix]] 06:43, 26 April 2007 (EDT)
New page: Not a very satisfactory definition, as it misses out the all-important term "self-similar" From: http://mathworld.wolfram.com/Fractal.html <quote> A fractal is an object or quantity that ...
Not a very satisfactory definition, as it misses out the all-important term "self-similar"
From: http://mathworld.wolfram.com/Fractal.html
<quote> A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at all scales, but the same "type" of structures must appear on all scales. A plot of the quantity on a log-log graph versus scale then gives a straight line, whose slope is said to be the fractal dimension. </quote>
The bit about fractional dimensions needs to be added, because this extends the idea of dimensions quite considerably. --[[User:Felix|Felix]] 06:43, 26 April 2007 (EDT)