Jewel Newton Julia

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Jewel Newton Julia is a Fractal Formula in mt.ufm


Hi all,

For the first time in several years I've added a couple of new formulas to mt.ufm. They are Jewel Newton and Jewel Newton Julia. When I wrote these I was quite happy to see that the mset version contains minibrots. This is nothing new to newton formulas (see Bof Newton II in mt.ufm for a classic example) but this formula can contain msets of different orders. Set the Power parameter to 4, for example, and you see cubic minibrots (set it to 3 to see standard minibrots). To find interesting Julia sets use the Switch feature and explore near the minibrots.

Mark

Image:JewelNewton.jpg

© Copyright 2008 Mark Townsend



20080524JewelNewton {
fractal:
 title="20080524 Jewel Newton" width=640 height=480 layers=1
 credits="Mark Townsend;5/24/2008"
layer:
 caption="Background" opacity=100
mapping:
 center=0.00859375/-0.01328125 magn=8
formula:
 maxiter=1000 percheck=off filename="mt.ufm"
 entry="mt-jewel-newton-j" p_c=-1.589285714/1.1875 p_p_power=6
 p_epsilon=1E-6
inside:
 transfer=none
outside:
 transfer=linear filename="mt.ucl" entry="mt-newton-basins"
 p_mode=Iteration p_d=1.0 p_epsilon=1E-6 p_r=0.0
gradient:
 smooth=yes index=0 color=8716288 index=100 color=16121855 index=200
 color=46591 index=300 color=156
opacity:
 smooth=no index=0 opacity=255
}

***

An example by Rick Spix:

Image:JewelNJ-1.jpg

Copyright © 2007 by Richard B. Spix III



JewelNJ-1 {
; Copyright © 2007 by Richard B. Spix III.
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}

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