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Author Topic: What colour is a Koch curve?  (Read 3501 times)
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Tglad
Fractal Molossus
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« Reply #30 on: March 30, 2017, 03:17:00 AM »

Great Claude, it looks nice.
The spot size itself seems to be based on two things:
1. the resolving power of our eyes, according to http://www.wikilectures.eu/index.php/Resolution_of_human_eye we can resolve about 100 microns at screen distance.
2. the spatial coherence of the incident light (how similar is the light wave laterally), according to https://www.photonics.ethz.ch/fileadmin/user_upload/pdf/Papers/divitt15a.pdf the coherence is about 7 to 80 times the wavelength of sunlight for overcast and clear sky respectively. So 3.5 to 40 microns.
Since the second one is smaller, the light coherence seems to the one that matters, and affects the interference width. Either way the spot size doesn't make much difference to the colour unless it is really foggy (e.g. coherence width less than 7 times wavelength of light), then becomes less colourful.

Here are some more:





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claude
Fractal Bachius
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« Reply #31 on: March 30, 2017, 03:30:30 AM »

neat! what kind of scaling are you using here? It looks like you're reducing the size by a factor of 3 as you go down, but it isn't linear rescaling. Is it exponential?

Yes exponential, so if you stack two copies of the image on top it should make smooth curves through both.
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