name this golden ratio based fractal
- From: jankrihau@xxxxxxxxxxx
- Date: Sat, 18 Aug 2007 03:58:54 -0700
I thought of a simple fractal and I just wonder if it has a name - and
I couldn't get the answer on sci.fractals. Start with a point and draw
three lines of length 1 from it so that each angle is 120 degrees. The
iteration step is to draw two new lines from each "open" endpoint of
the lines of the previous iteration, so that each angle is still 120
degrees, but the lengths should be (-1+sqrt(5))/2 (the golden ratio)
of those in the previous step. This ratio is optimal under the
constraint that the lines do not cross each other.
---
J K Haugland
http://home.no.net/zamunda
.
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