APOD: Quantum Steampunk Fantasy Fractal... (2013 Dec 30)

Comments and questions about the APOD on the main view screen.
Douglas

Re: APOD: Quantum Steampunk Fantasy Fractal... (2013 Dec 30)

Post by Douglas » Tue Dec 31, 2013 12:16 pm

Any work done on modeling Van Derwaals forces with fractals?

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DavidLeodis
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Re: APOD: Quantum Steampunk Fantasy Fractal... (2013 Dec 30)

Post by DavidLeodis » Tue Dec 31, 2013 12:17 pm

The mention of fractals reminds me of the fun rhyme:-

Bigger fleas have littler fleas upon their backs to bite em.
And littler fleas have littler fleas and so on ad infinitum. :)

PS. As mentioned by an earlier person should not the APOD title use "Steampunk" (as used in the discussion of the APOD and the APOD archive list) and not "Streampunk". :?:

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neufer
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Re: APOD: Quantum Steampunk Fantasy Fractal... (2013 Dec 30)

Post by neufer » Thu Jan 02, 2014 1:59 am

PacRimJim wrote:
As I recall, the dimensionality of the ordinary Mandelbrot set is between 2 and 3, so shouldn't the dimensionality of this fractal be greater than 3, rather than 3?
Presumably the boundary surface of the Quantum Steampunk has a Hausdorff dimension of 3.
http://en.wikipedia.org/wiki/Mandelbrot_set wrote:
The Hausdorff dimension of the boundary of the Mandelbrot set equals 2 as determined by a result of Mitsuhiro Shishikura. It is not known whether the boundary of the Mandelbrot set has positive planar Lebesgue measure.
Art Neuendorffer

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