Logo by Khaotik - Contribute your own Logo!

END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

this forum will stay online for reference
News: Support us via Flattr FLATTR Link
 
Home Help Search Gallery Downloads Login Register
*
Welcome, Guest. Please login or register. May 26, 2022, 10:09:08 AM


Login with username, password and session length


The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!


Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > Mandelbrot & Julia Set > The 3D Mandelbulb > Theory > Another true 3D fail ?
Pages: [1]   Go Down
« previous next »
  Print  
Share this topic on DiggShare this topic on FacebookShare this topic on GoogleShare this topic on RedditShare this topic on StumbleUponShare this topic on Twitter
Author Topic: Another true 3D fail ?  (Read 2046 times)
0 Members and 1 Guest are viewing this topic.
David Makin
Global Moderator
Fractal Senior
******
Posts: 2286



Makin' Magic Fractals
WWW
« on: December 16, 2012, 05:43:05 AM »
This one's pretty interesting with or without the scale of the power 5 by  (1.0-abs(real(z))/m)...

Code:

    m = sqrt(|z|+sqr(real(w)))
    if m>0.0
    complex t = (1.0-abs(real(z))/m)*(imag(z)+flip(real(w)))^5.0 + flip(2.0*real(z)*real(w))
    z = sqr(z)-sqr(real(w))+flip(real(t))
    w = imag(t)
    endif
Logged
The meaning and purpose of life is to give life purpose and meaning.

http://www.fractalgallery.co.uk/
"Makin' Magic Music" on Jango
DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it
« Reply #1 on: December 16, 2012, 09:53:56 AM »
Everybody want an image David
wink
Logged
No sweat, guardian of wisdom!
David Makin
Global Moderator
Fractal Senior
******
Posts: 2286



Makin' Magic Fractals
WWW
« Reply #2 on: December 16, 2012, 10:52:31 AM »
Quote from: DarkBeam on December 16, 2012, 09:53:56 AM
Everybody want an image David
wink

I don't wanna spoil the surprise wink
Logged
The meaning and purpose of life is to give life purpose and meaning.

http://www.fractalgallery.co.uk/
"Makin' Magic Music" on Jango
M Benesi
Fractal Schemer
****
Posts: 1075



WWW
« Reply #3 on: December 17, 2012, 03:52:12 AM »
Quote from: David Makin on December 16, 2012, 05:43:05 AM

Code:

    m = sqrt(|z|+sqr(real(w)))
    if m>0.0
    complex t = (1.0-abs(real(z))/m)*(imag(z)+flip(real(w)))^5.0 + flip(2.0*real(z)*real(w))
    z = sqr(z)-sqr(real(w))+flip(real(t))
    w = imag(t)
    endif

  Is w complex?  Assigning w=imag(t) tends to make me think it isn't- it should only have a real component then. 

  Looks like:
m=...
  if  m!=0 {
   t= (1-abs(x))/m) * (y+z)^5 + i * 2xz;
  k= k^2 - z^2  +  i * real (t) ;

  w= imag(t)
}

  What is it, a "squarey" brot? 

 
Logged
http://giphy.com/channel/mbenesi

https://www.youtube.com/channel/UCPeeXyfNAKo-9Y5TmseBS7g
David Makin
Global Moderator
Fractal Senior
******
Posts: 2286



Makin' Magic Fractals
WWW
« Reply #4 on: December 17, 2012, 04:32:04 AM »
Quote from: M Benesi on December 17, 2012, 03:52:12 AM
 Is w complex?  Assigning w=imag(t) tends to make me think it isn't- it should only have a real component then.  

  Looks like:
m=...
  if  m!=0 {
   t= (1-abs(x))/m) * (y+z)^5 + i * 2xz;
  k= k^2 - z^2  +  i * real (t) ;

  w= imag(t)
}

  What is it, a "squarey" brot?  

  

No all vars are complex but outside the calculation the imaginary part of w remains zero. It's basically standard quaternion cut down to 3D (i.e. (x,y,z)) but with (y+flip(z))^5 added to the y and z terms - if this part is scaled by (1.0-abs(x)/m) then the x+y and x+z plane slices are both the standard complex Mandy and the y+z plane is the complex degree 5 Mandy i.e. with 4 bulbs around the main.


Here it is anyway...a fail, but a damn interesting one wink




www.fractalforums.com/index.php?action=gallery;sa=view;id=12983
« Last Edit: December 17, 2012, 04:34:44 AM by David Makin » Logged
The meaning and purpose of life is to give life purpose and meaning.

http://www.fractalgallery.co.uk/
"Makin' Magic Music" on Jango
M Benesi
Fractal Schemer
****
Posts: 1075



WWW
« Reply #5 on: December 17, 2012, 05:55:27 AM »
Definitely cool.

  I still find that taking the "xmas tree" formula (semi Julia mode- full xyz seed, followed by addition of ONLY x-axis component *.5), rotating the x-axis to the magnitude axis (-1,-1,-1) to (1,1,1),

 applying the following transform:

x= 2.*abs(x) -1.
y=2.*abs(y) -1.
z=2.*abs(z)-1.

followed by a rotation back to the x axis makes the fractallyest z^2s...
Logged
http://giphy.com/channel/mbenesi

https://www.youtube.com/channel/UCPeeXyfNAKo-9Y5TmseBS7g
jehovajah
Global Moderator
Fractal Senior
******
Posts: 2749


May a trochoid in the void bring you peace


WWW
« Reply #6 on: January 08, 2013, 12:36:46 PM »
The sophistication of these images is amazing!
Davids so called fail compared with what was achieved early in he holy grail hunt really shows how far we have come in tinkering. Matt's solution shows how far we can go towards different design goals.
Great works, guys! grin
Logged
May a trochoid of ¥h¶h iteratively entrain your Logos Response transforming into iridescent fractals of orgasmic delight and joy, with kindness, peace and gratitude at all scales within your experience. I beg of you to enrich others as you have been enriched, in vorticose pulsations of extravagance!
Pages: [1]   Go Down
« previous next »
  Print  
« previous next »
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Hardwired to Fail Images Showcase (Rate My Fractal) Kali 2 603 Last post June 16, 2012, 12:59:45 PM
by weavers
The One True Path Mandelbulb3D Gallery Sockratease 0 734 Last post July 19, 2014, 02:49:15 PM
by Sockratease
true 3D Julia set Still Frame hgjf2 0 884 Last post April 09, 2016, 08:35:39 AM
by hgjf2
Solar sail test fail Fragmentarium Gallery Tim Emit 0 320 Last post October 13, 2016, 10:30:39 AM
by Tim Emit

Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.231 seconds with 29 queries. (Pretty URLs adds 0.012s, 2q)