HOME | DD

FractalMonster — Passage for a Mandy by-nc-sa

#compass #exponent #formula #play
Published: 2019-05-25 10:11:50 +0000 UTC; Views: 537; Favourites: 33; Downloads: 5
Redirect to original
Description An in-zoom in the frontier of the jaw, a little bit above the middle, in the earlier deviation
Playing with the exponent in my compass formula, z -> z^d - da^(d-1) z. See my journal Fractal CompassesNow, my dear readers, I wanna promote the article,
27) Compasses
in my Chaotic series. Along with this journal there are four deviations uploaded,
Compass_d=2
Compass_d=3
Compass_d=4
Compass_d=5

The “d” is the exponent in the iterated polynom p(z) = z^d - da^(d-1) z, the a-plane plotted and “z” initialized to the critical point z = +a. Why this formula is called the “Compass formula”? Well, just look at the above deviations, especially for d = 3 and higher   For d = 3 we actually have z^3 - 3a^2 z whic 
The exponent "d" in this motive is set to 1.48+0i.
 
Software: Ultra Fractal.
Formula: Extended Compasses (adding a parameter "b". the full parameter space becoming a four dimensional hyper space).
 
Below the UF parametr file. Play and have fun
 
 
PassageForAMandy {
fractal:
  title="Passage for a Mandy" width=800 height=600 layers=1
  credits="Ingvar Kullberg;5/23/2019"
layer:
  caption="Background" opacity=100 method=multipass
mapping:
  center=-0.8001865203985/0.0613409285549775 magn=13943.727
formula:
  maxiter=10000 percheck=off filename="ik3.ufm"
  entry="ExtendedCompasses" p_exponent=1.48/0
  p_PlottedPlane="1.(a-real,a-imag)" p_hide=yes p_areal=0.0
  p_aimag=0.0 p_breal=0.0 p_bimag=0.0 p_xrot=0.0 p_yrot=0.0
  p_xrott=0.0 p_yrott=0.0 p_zrot=0.0 p_LocalRot=no p_diff=no
  p_bailout=10000000 p_dbailout=1E-20
inside:
  transfer=none
outside:
  density=0.1 transfer=linear
gradient:
  smooth=yes rotation=-97 index=21 color=1709847 index=33
  color=16579582 index=42 color=3026462 index=68 color=223 index=100
  color=255 index=-221 color=57075 index=-10 color=16777212
opacity:
  smooth=no index=0 opacity=255
}
Related content
Comments: 3

Leanndra51 [2019-05-25 20:39:44 +0000 UTC]

I saved the journal in my ss so I can check it out later on.  So gorgeous; this little Mandy!

👍: 0 ⏩: 1

FractalMonster In reply to Leanndra51 [2019-05-25 20:54:32 +0000 UTC]

Hope you obtain a lot of inspiration


.. and thanks for the s

👍: 0 ⏩: 1

Leanndra51 In reply to FractalMonster [2019-05-25 22:06:26 +0000 UTC]

I hope so too!  My pleasure!

👍: 0 ⏩: 0