The Beauty of the Dying Mandy

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Category: Raw Fractals

A deep magnification of a 2D slice of the 12-dimensional heptic parameter space. The heptic parameter space (for 7th degree polynomials) is the the full analogy to the 2-dimensional quadratic parameter space where the ordinary Mandelbrot set is situated.

This is a bud in the cracking region of the motive Swirl Eruption. The location is entirely inside the coalescing sets M2 - M5, in fact the midst of the 3-diveded continent in the motive Blushing Mummy. The motive is drawn with respect to the set M1. If it instead had been drawn with respect to the set M6, the mandel buds had had been complete with no “defects”. Note: Buds of the Mandelbrot set are also regarded to mini copies of the entire set, as ALL the structures of the entire Mandelbrot set are there in every bud See article 13 in my Chaotic series. For that reason I think that this motive will fit this contest.

Ultra Fractal, formula Heptic 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 [link]

Below the parameter file, play and have fun :

BeautyOfTheDyingMandy {
fractal:
title="Beauty of the Dying Mandy" width=640 height=480 layers=1
credits="Ingvar Kullberg;11/13/2010"
layer:
caption="M1" opacity=100 method=multipass
mapping:
center=-1.2870081295621/0.05186972815783 magn=4893.668
formula:
maxiter=25000 filename="sp3.ufm" entry="HepticParameterspace3"
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=0.5 p_bimag=0.0 p_creal=0.5
p_cimag=0.0 p_dreal=0.5 p_dimag=0.0 p_ereal=0.5 p_eimag=0.0
p_freal=0.0 p_fimag=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_xrota=0.0
p_yrota=0.0 p_xrotb=0.0 p_yrotb=0.0 p_xrotc=0.0 p_yrotc=0.0
p_xrotd=0.0 p_yrotd=0.0 p_zrot=0.0 p_LocalRot=no p_diff=no
p_bailout=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
transfer=arctan filename="spr.ucl" entry="ContinousPotential"
p_auto=yes p_auton=2.0 p_n=1.0 p_numfact=1.0 p_scale=1.0 p_smooth=no
p_epsilon=0.5 p_illustr=no p_limiton=no p_limit=0.1 p_index3=0.0
p_index1=0.99 p_index2=0.0 p_speed=0.5 p_acc=1.0 p_clog=yes
p_power=2.0 p_reversed=no p_test=no p_testvalue=0.7 p_index4=0.29
gradient:
smooth=yes rotation=74 index=38 color=17919 index=97 color=62945
index=148 color=2170435 index=198 color=65530 index=227 color=329215
index=290 color=11075591 index=374 color=32
opacity:
smooth=no index=0 opacity=255
}