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Author Topic: Three unknown curves  (Read 367 times)
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Tglad
Fractal Molossus
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« on: April 26, 2017, 02:00:14 PM »

As we know, the von Koch curve, Levy C curve and dragon curve are all built by replacing one line with two in a V shape:


I realised the other day that there are three other variants of this construction that I didn't know about, have you seen them before? they look like this, for bend angle 30,60,90:

type 1:




type 2:




type 3:




The last one is interesting because, like the Koch curve, it curls up into a solid area without every overlapping.
http://tglad.blogspot.com.au/2017/04/new-basic-fractal-curves.html
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M Benesi
Fractal Schemer
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« Reply #1 on: April 26, 2017, 05:09:35 PM »

  Quick (3d version!!) low res animation of the last one with the 90 degree angle being altered over time?  cheesy 

  I can't do it on this machine...
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