#### MathematicalPhysicist

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does it have other applications in maths?

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does it have other applications in maths?

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1) It is used to visualize the Cantor set

2) It can be put under the topic, fractals (I prefer a 2D fractal to a one-dimension one )

Besides these 2, I don't know whether it has any other application in math

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how is it used in fractals?Originally posted by KL Kam

1) It is used to visualize the Cantor set

2) It can be put under the topic, fractals (I prefer a 2D fractal to a one-dimension one )

Besides these 2, I don't know whether it has any other application in math

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The 3 properties of fractals areOriginally posted by loop quantum gravity

how is it used in fractals?

1. Self-similarity

2. Fractional dimension

3. Formation by iteration

For Cantor's Comb, it has property 1. I guess it can be formed by iteration but I'm not sure. Also I'm not sure whether it has fractional dimension. I'm not an expert and I think some mathematicians here can clear it up a bit.

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I'm in no sense an expert or even knowledgable on this issue, but wouldn't it **have** to have a fractal dimension? It could be 0, which is still a fractal dimension. I can't remember exactly, but I think Cantor's Dust has a fractal dimension between 0 and 1 , and Cantor's box has a fractal dimension of 0.

Here is a good website I found on fractals, but it dosn't seem to be working at the moment.

http://library.thinkquest.org/26242...torial/ch4.html

Here is a good website I found on fractals, but it dosn't seem to be working at the moment.

http://library.thinkquest.org/26242...torial/ch4.html

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