Re: name this golden ratio based fractal

On Aug 17, 6:19 am, jankri...@xxxxxxxxxxx wrote:
I thought of a simple fractal and I just wonder if it has a name.
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 (I reckon) under the constraint that the lines do not
cross each other.

---
J K Hauglandhttp://home.no.net/zamunda


You might also consider using 137.51 degrees as the angle, since this
is the "Golden Angle", which cuts the circumference of a circle into
two pieces whose ratio is phi.

Unfortunately, I do not know if this has been explored previously, but
presumably RB would.

Rob

.

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