Shop Mobile More Submit  Join Login
About Deviant Core Member greensengMale/Unknown Recent Activity
Deviant for 8 Years
4 Month Core Membership:
Given by an Anonymous Deviant
Statistics 198 Deviations 3,317 Comments 11,463 Pageviews

Newest Deviations

Favourites

...

for a minute I was lonely
in a world I've never known
for a minute I was lonely
and I thought that you were gone

when a second lasts forever
and my mind is open wide
when a second lasts forever
are you still there
by my side


when the children whispers friendly
in drops from trees of light
when the wind is soothing gently
in the starsky of your sight

when a second lasts forever
and your mind is open wide
when a second lasts forever
I'm still there
by your side

...
  • Listening to: Language of Silence

Activity


Limu limu lima by Greenseng
Limu limu lima
Ultra Fractal.

  A Multicorn hidden in the Nonic Parameterspace: z=z^9+...................................+h

हूं
Loading...
Tricorn Garden by Greenseng
Tricorn Garden
  A twodimensional view from the 8-dimensional fractal Pentic Parameterspace.

Software used: Ultra Fractal. No postprocessing.

हूं
Loading...
NewtonMandel by Greenseng
NewtonMandel
Made with Ultra Fractal.

Built from a "Newtonisation" of the polynomial: f(z)= z^3-c(z-1) .

It will end up with the Newton formula z= (2*z^3-c)/(3*z^2-c)

हूं
Loading...
Sketch by Greenseng
Sketch
  Made with Ultra Fractal. A small post processing.

हूं
Loading...

deviantID

Greenseng's Profile Picture
Greenseng
greenseng
Current Residence: Sweden - I think..
Favourite genre of music: Ambient - Classic- Meditative music
Favourite photographer: Cartier-Bresson
Favourite style of art: Fractals
Operating System: w7 x64
MP3 player of choice: who cares?..
Shell of choice: What's that..
Wallpaper of choice: C'mon.. get real...
Skin of choice: My own - I guess (I give up...)
Favourite cartoon character: Grelber in Broomhilda (lives in a mailbox and offers nasty comments for free)
Personal Quote: Yes, its real.. but still just illusions.
Interests

Comments


Add a Comment:
 
:iconveeegeee:
veeegeee Featured By Owner Aug 28, 2015  Professional Writer
:iconsupereagerplz::iconsupereagerplz::iconfaven1::iconsupereagerplz::iconsupereagerplz::iconfaven1::iconsupereagerplz::iconsupereagerplz::iconfaven1:
Reply
:iconfractalmonster:
FractalMonster Featured By Owner Aug 16, 2015
:wave:
Thank you for the :+fav: s of both Just a Deep-zoom1 and Just a Deep-zoom2 :)
Reply
:icongreenseng:
Greenseng Featured By Owner Aug 16, 2015
Both are very nice. Gallery 
Reply
:iconfractalmonster:
FractalMonster Featured By Owner Aug 16, 2015
Glad to hear that :D
Reply
:iconinsanewarlock:
insanewarlock Featured By Owner Aug 16, 2015  Hobbyist Digital Artist
Thank you for the watch
:iconjonsnowplz:
Reply
:icongreenseng:
Greenseng Featured By Owner Aug 16, 2015
  Oh... It is I that should say thank you. :D
Reply
:iconinsanewarlock:
insanewarlock Featured By Owner May 27, 2015  Hobbyist Digital Artist
Hello there, nice gallery!
I do understand some complex analysis and have some experience in plotting 4 dimensional complex functions ℂ->, is there an easy way you could explain to me how fractals are made? Thanks in advance!
Reply
:icongreenseng:
Greenseng Featured By Owner Aug 14, 2015
  Hi! Sorry for the long time for response. I took a long vacation from dA.

When making complex numbers fractals like, for example the Mandelbrot set, you take a walk over the parameter plane and check if the absolute value of the represented pixel will, when calculated iterative, go against an eternal big number or will stay bounded to one or several values. If it stays bounded one may color it black. If it flies off to eternity one can give it a color dependent on its size. If it stays bounded one can also use some math tricks to color it even then.

The formula for the Mandelbrot set is z=z^2+c . z and c are complex numbers. c represents the value of the parameter plane. The real number here is the the horizontal part (x-axis) and the imaginary number is the vertical part(y-axis). These numbers are then represented by the pixels on the screen.

When you start the calculation z is normally zero. So if you start with the pixel that represents the complex number (0,0) then the first z becomes z= (0,0)^2+(0,0) . And |z| equals zero. As the new z now is used as z in next iterative step we see that |z| here is bounded to zero. Doesn't matter how many times we iterate it. So the pixel is then colored black.

If c is (1,0) then the first z becomes z= (0,0)^2+(1,0) . This becomes (1,0) and its absolute value will be 1. In next iteration z= (1,0)^2+(1,0) that will become (2,0). And its absolute value here is 2. Now when the absolute value has become as big as 2 then the the number from every iteration will increase rapidly to eternity. So you check how many iterations you have done to get the absolute value to 2 or (or higher) and choose the color dependent on how many iterations you have done. Here we had just two iterations so we may color it blue, for example. If we had three iterations we could color it a little lighter blue. And so forth. When you have walked over the total parameter plane then you will have a picture.

:iconfractalmonster: is the true master of explaining all of this. He is very helpful so don't hesitate to give him some questions.
Reply
:iconinsanewarlock:
insanewarlock Featured By Owner Edited Aug 15, 2015  Hobbyist Digital Artist
So the color shows how fast the absolute value of the sequence
z(n+1) = z(n)^2 + c
diverges for a given point c from a complex plain right?

Edit:

I think I made it after 6 hours of trying LOL

imgur.com/Q1rzDHI

Thank you so much!
Reply
:icongreenseng:
Greenseng Featured By Owner Aug 15, 2015
  Looks very good. Tells that you understand the situation. :-)

Something that would add even a better touch to the picture would be if you increased the number of iterations before you decide to stop the calculations.
For example: If you iterated 50 times before stopping and deciding that you were into bound set, then increase the number to 100 times instead.
Or if you used 100 as iteration number then increase it to 500 instead.

This will of course take longer time to calculate. Specially when you are close to the set. But... it is worth it.

With the set I mean the area where z is bound to one or several numbers and oscillate between them and never leaves them completely but always return to them; going on forever.
c = 0 is an example of that phenomenon.

When you are close to the set you are moving in a chaotic area. Something that gives the fractal phenomenon its special charm.
Reply
(1 Reply)
Add a Comment: