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__fractals__of nonzero rational dimensions M/N (where M and N are nonzero integers)?

How does a fractal of non-integral dimension F compare geometrically to a

__fractal__of dimension GF, where G is a nonzero integer?

- Thread starter Loren Booda
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- #1

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How does a fractal of non-integral dimension F compare geometrically to a

- #2

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Similarly, in the second paragraph, I wondered about the geometry of an "axis" of fractal dimension F extended to G axes to produce a GF fractal dimensional space, or moreso, comparing the geometry of int[GF] dimensional spaces of int[GF] axes for G=1, 2, 3... .

- #3

Ben-CS

Believe the Serpinski gasket has a fractal dimension of exactly two.

- #4

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no - triangle has a dimension of 1.58. Carpet has a dimension of 1.89.Originally posted by Ben-CS

Believe the Serpinski gasket has a fractal dimension of exactly two.

If its dimension was 2 it wouln't be a fractal.

Cheers,

ron.

Can't help with the earlier Q.

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