Nova fractal

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Nova is a formula that is related both to the mandelbrot and newton fractals. It has a 'relaxation' parameter that does some very interesting things to the fractal when tweaked (particularly on the 'inside' of the lake).

Contents

Romanesco NovaMandelbrot

Copyright © 2008 by Dan Wills

upr


novaMaster_fuztah_youAreNoDisaztah_goldenPol_potzor_coral_romanesqueo {
fractal:
  title="novaMaster_fuztah_youAreNoDisaztah_goldenPol_potzor_coral_rom\
  anesqueo" width=1024 height=1024 layers=1
  credits="dan wills;3/11/2007"
layer:
  caption="Background" opacity=100
mapping:
  center=-0.43608549343268/-0.102470623996602 magn=129804.49
  angle=-179.5652
formula:
  maxiter=1000 percheck=off filename="Standard.ufm" entry="NovaMandel"
  p_start=9/0 p_power=3/0
  p_bailout=0.00000000000000000000000000000000000000000000000000000000\
  00001 p_relax=2.9/0
inside:
  density=00.0095125 transfer=linear filename="Standard.ucl"
  entry="ExponentialSmoothing" p_diverge=yes p_converge=yes
  p_divergescale=1.0
outside:
  density=00.0125 transfer=linear filename="Standard.ucl"
  entry="ExponentialSmoothing" p_diverge=yes p_converge=yes
  p_divergescale=1.0
gradient:
  smooth=yes rotation=-86 index=122 color=16777215 index=137
  color=2209279 index=-211 color=786456 index=-202 color=0 index=-181
  color=2494498 index=-176 color=6029381 index=-156 color=8900951
  index=-134 color=16711422
opacity:
  smooth=no index=0 opacity=255
}

Another NovaMandelbrot Inside

This is a spot on the inside of a really relaxed Nova Mandelbrot.

It is interesting to note that despite all the detail, we are not at a very high magnification here (only 20x) nor many iterations (only 120).

There are 5 layers and "Exponential Smoothing" and "Orbit Traps" coloring are used.

Copyright © 2006 by Dan Wills

upr

novaInter_cloudyInteriour_dotdotdot_dtspeedy_eedy_OUTER_spins {
::wAMScin2tj13POuJQ43Xp9/Br8eyCYjB3K/YVVl6Pk6d9tTKi1QcorjxH252L/33BbjNJbyu
  drS3nyqoVmBmBYYmvvB2YFFdiqf4+7ii60dVq8F1mvJ+l6OlddRlZv8Q/3aze7appb43aZXb
  jSJPsu/f/xf95f6PX32orb/izQLieWL72mjRkkotKd52uhvrEHU22caUhVJ1dt5LkiaYwVVt
  /I+Bc2DEEKbx931Pu+1UhopTbqzX8rORRpLiMNiCd3h8Ye0OltUtzIV5mvpsgS3f3ORDsMKH
  0V5W55LxrySyoJYaWM7B0qYUCGjpkYChGtTUWnTAh0s0USkouEcBZ4VcCid/dbM2d7rE9Wbn
  47an5wEUUjyWsVV8UuZzmoN6KVtYH45+UnoWKsyV73sbREM72D5L+dwd+bgcV1CnZaW32Jsg
  /4BwMrbMPDmMeFhGTfAN0/jCN437yRrQ/H/r/Q49qEeY2tqKx3zTWx4ZpMOztogjVtUNEiYF
  1tbglcx+HVWjpLY3L393r2XUNtxh2L/sV0MutBVba3KagRWa1yIruppS1uYsrCTlxmL1g3pu
  QNrS3BnGb2X/0hIBcKLKVRUvSGrs/EZs5Gr6r5sZdHDAQ9uanApVvpLotx+o23eHED5klfQ1
  OYCBEjXAnUr6H+WrqdrpSCnLQcTzapG21OzTSdjtPwBOyGV11stT14E5OzfS9cwnB90vu3XX
  kXprVC7g6NwcVIADOM3Nm2uw2OdEP2mXb8+1+QqpZ3JaIWNbeSafS7nzSx+22wvLn9UDWoXq
  NcIw49fekb1KAHRVfS4TwKULNtFmmxDwWTlWOcyWbu/OIq+Wk0tIprQkUpbwgy9hSt7gwntu
  9g10J6pLw8kINg5CIZRDalEjTSJxepxjix0kUcMl6szQXsUfXJxJEOFNKHj9mKGEGH7nAMtH
  5corUMHz58xuA2sR5sMEdSDSs3SebHjDshX4S60KBj5g7ck57k98wgRT8iE3m5iEo8ZC000A
  C0ttVCp8G/5HF/Z7XtvFi3n6PiJ/sqGwq8bep+buzMH0C0qwUH2cszpE8Lg4+BN3vVOKZKFF
  n5TTgELGiOKP1nkimzOxAEtPzlR4cmPZhgPKbxLGTTnzsOGDYJmwmsFNjklgn6BP1TKjxI4A
  8hlZpn0nvDe8F6IJI7GT4xUCJ+6kOTnTnZ4w0ZILqyV39tM6/nzolK4bw9viRvS10MwDG9MU
  jyJ104Oa0d7lvoomunNRwl1ahCFetCaI3KoZugG3J8VskmVnpomx4nzXXzrXe8twqbhVXpwq
  3sWZmntkkdSVxjypoA+rkEEPmn5rWG7r8FoTSz8akNJOJBKimHQgj80nZcWGGPVqM9kyfJU+
  xM9BUwM0Z56RHzzfdoYjDoYDfyJpeDkTq6vi5NO2PEO2s3VNsnFGUVWe2nJIE3bEybW1BQvk
  Z0DHq3MwwlB9CNxZw96RTeFMPfZ3jweHh69vHybeREg69eg8C8heUv3HkXA+W5ROrPSm0bBP
  3CeuO8lxeyvp7teCpYSAf5x8ipoj5F9so0zxJiZJv8VhIBXa9oLAjR4zRKGe3zTu/L5FvB21
  gvEPzXCHu34Gv9iSfYvo0Scy0buEzpnLdIeAY885D45HwBzpIGfK3aqeWcKDjTIBvI1SMjch
  39BTpXqnkgnlCWfJZcay8rPhexTBzOtW43Rq6/wzGq1p
}

NovaInter cloudyInteriour

This fractal is a point on the Inside of the Nova lake with relaxation turned up (including an imaginary offset too) and an exponent of 3.0.

A single layer of exponential smoothing coloring is all that is used, all of the structure and complexity is being generated by the formula.


Copyright © 2008 by Dan Wills

upr

novaInter_cloudyInteriour {
fractal:
  title="novaInter_cloudyInteriour" width=1024 height=1024 layers=1
  credits="dan wills;10/10/2006"
layer:
  caption="Layer 1" opacity=100
mapping:
  center=-0.802873091385/0.57581121307 magn=4.4826265 angle=90
formula:
  maxiter=1000 percheck=off filename="Standard.ufm" entry="NovaMandel"
  p_start=1/0 p_power=3/0 p_bailout=0.000000001
  p_relax=3.760664/-0.867299
inside:
  density=4 transfer=cuberoot filename="dmj.ucl"
  entry="dmj-Smooth2General" p_diverge=yes p_converge=yes
  p_divergescale=1.0
outside:
  density=4 transfer=cuberoot filename="dmj.ucl"
  entry="dmj-Smooth2General" p_diverge=yes p_converge=yes
  p_divergescale=1.0
gradient:
  smooth=yes rotation=-200 index=3 color=14023167 index=31
  color=16449535 index=98 color=47871 index=191 color=3670116
  index=276 color=6656 index=-106 color=25920
opacity:
  smooth=no index=0 opacity=255
}
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