Logo by stereoman - Contribute your own Logo!
News: Visit the official fractalforums.com Youtube Channel
 
*
Welcome, Guest. Please login or register. January 18, 2017, 11:08:39 PM


Login with username, password and session length



Pages: [1] 2   Go Down
  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: chaosTube Tutorial #6 - Burning Ship Iteration Visualisation  (Read 1239 times)
0 Members and 1 Guest are viewing this topic.
cKleinhuis
Administrator
Fractal Senior
*******
Posts: 6976


formerly known as 'Trifox'


WWW
« on: September 17, 2014, 11:34:03 AM »

upon user request:
http://www.fractalforums.com/images-showcase-(rate-my-fractal)/glowing-cube-divided/msg77019/#msg77019

i created a visualisation of the burning ship iteration,
if you have any special wish what i shall visualise let me know

enjoy:
<a href="https://www.youtube.com/v/oJjjoCe5MY0&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/oJjjoCe5MY0&rel=1&fs=1&hd=1</a>
« Last Edit: September 17, 2014, 12:16:55 PM by cKleinhuis » Logged

---

divide and conquer - iterate and rule - chaos is No random!
panzerboy
Fractal Lover
**
Posts: 242


« Reply #1 on: September 17, 2014, 11:45:01 AM »

"This video is private", am I just too quick at only 6 minutes after your post?
Logged
cKleinhuis
Administrator
Fractal Senior
*******
Posts: 6976


formerly known as 'Trifox'


WWW
« Reply #2 on: September 17, 2014, 11:51:19 AM »

now it is public, i had to press some buttons and confirm my identity, enjoy! music by chillheimer!
Logged

---

divide and conquer - iterate and rule - chaos is No random!
TheRedshiftRider
Fractalist Chemist
Global Moderator
Fractal Molossus
******
Posts: 742



WWW
« Reply #3 on: September 17, 2014, 12:02:06 PM »

I guess stardust requested this after I asked a question about this.

Very usefull!
Logged

Motivation is like a salt, once it has been dissolved it can react with things it comes into contact with to form something interesting. nerd
cKleinhuis
Administrator
Fractal Senior
*******
Posts: 6976


formerly known as 'Trifox'


WWW
« Reply #4 on: September 17, 2014, 12:16:37 PM »

it was youhn that pointed it wink here:
http://www.fractalforums.com/images-showcase-(rate-my-fractal)/glowing-cube-divided/msg77019/#msg77019
Logged

---

divide and conquer - iterate and rule - chaos is No random!
Aexion
Conqueror
*******
Posts: 115


The Fractal Hermit


WWW
« Reply #5 on: September 17, 2014, 12:56:46 PM »

Very Nice video!

Speaking of the Burning Ship, I don't know if you have already explored the other two (made by not folding all variables)..
replacing the ship abs function (in fractint and ultrafractal formats):

z=abs(real(z))+flip(abs(imag(z)))

by

z=abs(real(z))-flip(imag(z))

or by

z=real(z)+flip(-abs(imag(z)))

They both create very interesting sets to explore (in special in the mirror spiral department)..
Also, try the Quadray Burning ship, using the abs on the Quadray set.. I call that one, the Burning Fish because ilooks like that.
There's another, but in the Nova formula (the newton iteration).. but that's another history..  grin
Logged

Fractals all the way..
Incendia for 3D Fractals
Aural for Musical Fractals
cKleinhuis
Administrator
Fractal Senior
*******
Posts: 6976


formerly known as 'Trifox'


WWW
« Reply #6 on: September 17, 2014, 01:11:47 PM »

ok, i might visualise them as spin offs, folding justx and justx, will check it wink
Logged

---

divide and conquer - iterate and rule - chaos is No random!
Aexion
Conqueror
*******
Posts: 115


The Fractal Hermit


WWW
« Reply #7 on: September 17, 2014, 01:40:12 PM »

ok, i might visualise them as spin offs, folding justx and justx, will check it wink

Just don't forget the signs!
z=abs(real(z))-flip((imag(z)))
and
z=abs(real(z))+flip((imag(z)))
are not the same! grin
(The Julias are interesting in both cases!, but one the sets isn't)
Logged

Fractals all the way..
Incendia for 3D Fractals
Aural for Musical Fractals
cKleinhuis
Administrator
Fractal Senior
*******
Posts: 6976


formerly known as 'Trifox'


WWW
« Reply #8 on: September 17, 2014, 01:58:42 PM »

yay, i saw it, the "+" does not look very interesting, although it is fractal

i am thinking how to incorporate it in the tutorial, perhaps i include them as spin offs, for the negative multiplication by1 i need to adjust my visuals because it is a rotation around the x axis and not a fold wink although it could be visualised as fold it would look weird to fold opposite side against eachother
Logged

---

divide and conquer - iterate and rule - chaos is No random!
cKleinhuis
Administrator
Fractal Senior
*******
Posts: 6976


formerly known as 'Trifox'


WWW
« Reply #9 on: September 17, 2014, 02:14:29 PM »

though, i wonder why the heck arent they the same? the abs should render the negation obsolete sad huh?
Logged

---

divide and conquer - iterate and rule - chaos is No random!
cKleinhuis
Administrator
Fractal Senior
*******
Posts: 6976


formerly known as 'Trifox'


WWW
« Reply #10 on: September 17, 2014, 02:18:33 PM »

woah, the julias are quite cool, this is the julia

z=abs(real(z))+flip((imag(z)))
z=z^2+c

BUT, for the julia i am preparing a special issue explaining the difference julia/mandelbrot method, which makes crystal clear why the mandelbrot pops out, you might have recognised the mandelbrot tutorial is not finished and it started from back (4.4) in issue 4.3 i want to point out the difference (different starting location, same addition for every point, mandelbrot set is a map of julias that are connected wink )



* Fractal1.jpg (44.74 KB, 800x600 - viewed 296 times.)
« Last Edit: September 17, 2014, 02:21:33 PM by cKleinhuis » Logged

---

divide and conquer - iterate and rule - chaos is No random!
Aexion
Conqueror
*******
Posts: 115


The Fractal Hermit


WWW
« Reply #11 on: September 17, 2014, 03:09:26 PM »

though, i wonder why the heck arent they the same? the abs should render the negation obsolete sad huh?

-abs(x) and abs(x) aren't the same!  grin

Actually I consider these sets some sort of halfway between both the Burning Ship and the Mandelbrot set because they share the properties of both..
The Julias reflects this property very well (in special of the julias of the spiral kind)
Here are two images, one little zoomed area of one of the mandelbrot and a julia set.

woah, the julias are quite cool, this is the julia

z=abs(real(z))+flip((imag(z)))
z=z^2+c

BUT, for the julia i am preparing a special issue explaining the difference julia/mandelbrot method, which makes crystal clear why the mandelbrot pops out, you might have recognised the mandelbrot tutorial is not finished and it started from back (4.4) in issue 4.3 i want to point out the difference (different starting location, same addition for every point, mandelbrot set is a map of julias that are connected wink )


Oh.. the relationship between the Mandebrot and Julia becomes complicated when you use perturbations (different starting points)..
They are often overlooked, but they can generate very interesting images if you use them in a dynamic way.. smiley


* m2.jpg (69.55 KB, 636x476 - viewed 293 times.)

* j2.jpg (57.3 KB, 636x479 - viewed 303 times.)
Logged

Fractals all the way..
Incendia for 3D Fractals
Aural for Musical Fractals
cKleinhuis
Administrator
Fractal Senior
*******
Posts: 6976


formerly known as 'Trifox'


WWW
« Reply #12 on: September 17, 2014, 03:35:35 PM »

-abs(x) and abs(x) aren't the same!  grin
right, but in both formulas the abs is outside, abs(x) and abs(-x) should be the same ...
Logged

---

divide and conquer - iterate and rule - chaos is No random!
Aexion
Conqueror
*******
Posts: 115


The Fractal Hermit


WWW
« Reply #13 on: September 17, 2014, 06:54:50 PM »

right, but in both formulas the abs is outside, abs(x) and abs(-x) should be the same ...
Hmm.. no.. look again (Fractint format can be a little tricky):
z=abs(real(z))-flip(imag(z))
and
z=real(z)+flip(-abs(imag(z)))

In a more formal way:
z=Complex( abs(zr), -zi )
and
z=Complex( zr, -abs(zi) )

 smiley
Logged

Fractals all the way..
Incendia for 3D Fractals
Aural for Musical Fractals
youhn
Fractal Bachius
*
Posts: 640


Shapes only exists in our heads.


« Reply #14 on: September 17, 2014, 07:14:33 PM »

There it is. Many thanks Christian!   cheesy

Funny how the most interesting quadrant is the one where all the points get folded out of. The translation is again beautiful to watch! A suprise is the resulting smoothness of the inner structures. I see more curved lines than sharp folds, so it might approach analytical math in some properties.
Logged
Pages: [1] 2   Go Down
  Print  
 
Jump to:  


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 0.48 seconds with 27 queries. (Pretty URLs adds 0.03s, 2q)