FractalMonster on DeviantArthttp://creativecommons.org/licenses/by-nc-sa/3.0/https://www.deviantart.com/fractalmonster/art/To-the-honor-of-Halloween-101373843FractalMonster

Deviation Actions

FractalMonster's avatar

To the honor of Halloween

Published:
705 Views

Description

Updated to 1960x1470 resolution when downloaded

This is a 2D-slice of the eight dimensional :omg: pentic parameter space using the standard setup of parameters z -> z^5 + 5/3[ab + ac + bc - (a + b + c)^2]z^3 - 5/2[abc - (ab + ac +bc)(a + b + c)]z^2 - 5abc(a + b + c)z + d, critical points z = a making the set M1, z = b making the set M2, z = c making the set M3, and z = -(a + b + c) making the set M4.

*a_real = #pixel (horizontal)
*a_imag = #pixel (vertical)
*b_real = 0.46
*b_imag = 0
*c_real = -0.46
*c_imag = 0
*d_real = 0
*d_imag = 0

If you zoom out, you will see that the outer structure also is a degree 3 Compass. Check my previous deviation CompassBorder. However here we’ve glided a little bit longer along the non plotted axis’ ;)

Ultra Fractal, formula Pentic Parameterspace3 in the sp3-module written by my dear friend Stig Pettersson, Greenseng here at DeviantART. All his modules, as well as mine can be downloaded from here.

Below the parameter file, play and have fun :)

ToTheHonorOfHalloween {
fractal:
title="To the honor of Halloween" width=800 height=600 layers=2
credits="Ingvar Kullberg;10/4/2017"
layer:
caption="M2=M3" opacity=100 mergemode=red method=multipass
mapping:
center=0/0.96337675358 magn=29.748303
formula:
maxiter=10000 filename="sp3.ufm" entry="PenticParameterspace3"
p_PlottedPlane="1.(a-real,a-imag)" p_M=M2 p_SetBorders=no p_hide=yes
p_areal=0.0 p_aimag=0.0 p_breal=0.46 p_bimag=0.0 p_creal=-0.46
p_cimag=0.0 p_dreal=0.0 p_dimag=0.0 p_xrot=0.0 p_yrot=0.0
p_xrott=0.0 p_yrott=0.0 p_xrotu=0.0 p_yrotu=0.0 p_xrotv=0.0
p_yrotv=0.0 p_xrotr=0.0 p_yrotr=0.0 p_xrots=0.0 p_yrots=0.0
p_zrot=0.0 p_LocalRot=no p_diff=no p_bailout=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
density=2 transfer=linear
gradient:
smooth=no index=8 color=5899552 index=49 color=3185381 index=207
color=16777215 index=300 color=1716464
opacity:
smooth=no index=0 opacity=255
layer:
caption="M1=M4" opacity=100 method=multipass
mapping:
center=0/0.96337675358 magn=29.748303
formula:
maxiter=10000 filename="sp3.ufm" entry="PenticParameterspace3"
p_PlottedPlane="1.(a-real,a-imag)" p_M=M1 p_SetBorders=no p_hide=yes
p_areal=0.0 p_aimag=0.0 p_breal=0.46 p_bimag=0.0 p_creal=-0.46
p_cimag=0.0 p_dreal=0.0 p_dimag=0.0 p_xrot=0.0 p_yrot=0.0
p_xrott=0.0 p_yrott=0.0 p_xrotu=0.0 p_yrotu=0.0 p_xrotv=0.0
p_yrotv=0.0 p_xrotr=0.0 p_yrotr=0.0 p_xrots=0.0 p_yrots=0.0
p_zrot=0.0 p_LocalRot=no p_diff=no p_bailout=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
density=2 transfer=linear
gradient:
comments="Kerry Mitchell/n /nrainbow gradient with green negated"
smooth=yes rotation=-130 index=27 color=82 index=46 color=17406
index=71 color=47870 index=150 color=0 index=203 color=7281801
index=228 color=16711551 index=283 color=16695296 index=307
color=16646144 index=383 color=131072
opacity:
smooth=no index=0 opacity=255
}
Image size
1960x1470px 1.11 MB
Comments14
Join the community to add your comment. Already a deviant? Log In
Jakeukalane's avatar