Hi
I post here as an answer to Fractex, in case it might interest anybody.
Fractex asked if I could provide the UF file for the animations I did. I have to apologize because I lost my parameters. As I was playing with the script (which I don't do often) I messed up with the versions and names of the formulae and lost my work
. So I did another one quickly. It's not exactly the same and you don't have the animations, but it's something to start again with.
There are 2 layers.
Some suggestions to play and get more familiar with UF (if needed)
- Change the layering mode
- Change and play with the parameters of the the inside/outside coloring of each layer
- change the bailout (NB : to change a parameter value at once for multiple layers, simply multi-select the layers with the shift key before editing the value)
- change the powers (there are two parameters to do z^p1*tan(z)^p2, so for example one could do an animated transition from z˛+c to z*tan(z)+c...
)
- Pan, zoom, Explore !!!
I probably said it in a previous post, but there are 2 particular things to me in this z*tan(z)+c fractal (by particular I mean very unusual compared to the Mandelbrot set despite the graphical similarities)
1- increasing the bailout has a very original effect, it create new shapes (due to the periodically divergent nature of f(x)=tan(x) I guess)
2- The inside is really full of surprises (these so-called Mandelfields in particular, I have no idea what they are)
ztanzForFractex {
fractal:
title="ztanz for fractex" width=1024 height=768 layers=2
credits="arsene;3/16/2010"
layer:
caption="Layer 1" opacity=100 mergemode=screen transparent=yes
mapping:
center=0/0 magn=.1
formula:
maxiter=100 filename="Standard.ufm" entry="Calcymansidea"
p_bailout=400000 f_function=tan p_power=1/0 p_power2=1/0 p_start=0/0
inside:
density=10 transfer=sqrt filename="Standard.ucl"
entry="GenericDirectColoring"
p_coloringClass="Standard.ulb:Standard_Smooth"
p_coloringClass.v_generic=100 p_coloringClass.v_coloring=100
p_coloringClass.v_gradientcoloring=100 p_coloringClass.power=2/0
p_coloringClass.bailout=128.0
outside:
density=2 transfer=cuberoot filename="Standard.ucl"
entry="OrbitTraps" p_trapshape=point p_diameter=1.0 p_traporder=4.0
p_trapfreq=1.0 p_trapcolor=distance p_traptype=closest
p_threshold=0.25 p_trapcenter=0/0 p_aspect=1.0 p_angle=0.0
p_solidcolor=no
gradient:
smooth=yes rotation=-28 index=54 color=16711713 index=213 color=0
index=215 color=16777215 index=222 color=16313190 index=238
color=11075600 index=361 color=13403696
opacity:
smooth=no index=0 opacity=255
layer:
caption="Background" opacity=100
mapping:
center=0/0 magn=.1
formula:
maxiter=100 filename="Standard.ufm" entry="Calcymansidea"
p_bailout=400000 f_function=tan p_power=1/0 p_power2=1/0 p_start=0/0
inside:
transfer=cuberoot filename="Standard.ucl" entry="Decomposition"
outside:
transfer=cuberoot filename="Standard.ucl" entry="Smooth" p_power=2/0
p_bailout=128.0
gradient:
smooth=yes rotation=-7 index=29 color=6211054 index=148 color=0
index=225 color=943060
opacity:
smooth=no index=0 opacity=255
}
And Calcymansidea formula:
Calcymansidea {
init:
z = @start
loop:
z=z^@power*(@function(z))^@power2 + #pixel
bailout:
|z| <= @bailout
default:
title = "Calcyman's Idea"
center = (-0.5, 0)
$IFDEF VER50
rating = recommended
$ENDIF
param start
caption = "Starting point"
default = (0,0)
hint = "The starting point parameter can be used to distort the Mandelbrot \
set. Use (0, 0) for the standard Mandelbrot set."
endparam
param power
caption = "Power"
default = (1,0)
endparam
param power2
caption = "Power2"
default = (1,0)
hint = "z=(z^powerbizarre*f(z))^power2"
endparam
float param bailout
caption = "Bailout value"
default = 4.0
min = 1.0
$IFDEF VER40
exponential = true
$ENDIF
hint = "Try very large values"
endparam
switch:
type = "Julia"
seed = #pixel
power = power
bailout = bailout
}
Welcome to Fractal Forums
March 16, 2007, 09:02:55 PM
Dilber MC Theme by HarzeM