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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > (new) Theories & Research > Interesting generalisation of fractals
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Author Topic: Interesting generalisation of fractals  (Read 655 times)
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Tglad
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« on: March 21, 2015, 12:44:02 AM »
several links in this blog post: https://plus.google.com/117663015413546257905/posts/MfPGk2bVDd6

It is not rocket science, or a new idea that objects can have a fractal dimension that varies with scale, but these related papers might formalise the idea well... though they're missing the generalisation to position-dependent dimension in addition to scale dependent.  nerd
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Tglad
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« Reply #1 on: March 23, 2015, 06:24:48 AM »
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TruthSerum
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« Reply #2 on: May 23, 2015, 10:26:14 PM »
You would need to find a pleasant transition between discrete dimensions \in \mathbb{N}, assuming a scale \in \mathbb{R}.
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