- #1

MathematicalPhysicist

Gold Member

- 4,521

- 286

does it have other applications in maths?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter MathematicalPhysicist
- Start date

- #1

MathematicalPhysicist

Gold Member

- 4,521

- 286

does it have other applications in maths?

- #2

- 314

- 0

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

- #3

Integral

Staff Emeritus

Science Advisor

Gold Member

- 7,212

- 56

- #4

MathematicalPhysicist

Gold Member

- 4,521

- 286

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

- #5

- 314

- 0

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.

- #6

- 136

- 0

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

Last edited by a moderator:

Share: