Logo by Tglad - 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: Visit the official fractalforums.com Youtube Channel
 
*
Welcome, Guest. Please login or register. March 19, 2024, 09:07:26 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!


Pages: [1]   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: New type of 3D Mandelbrot never before seen??  (Read 7064 times)
Description: New type of 3D mandelbrot never before seen
0 Members and 1 Guest are viewing this topic.
realflow100
Forums Newbie
*
Posts: 6


« on: May 25, 2017, 03:55:57 PM »

I have made a mock-up visual of a 3D Mandelbrot where you take a 2D transparent image of a mandelbrot.
Trace the outlline of it with polygons so you have a 2D polygonal mesh of a mandelbrot
Make it so the inside is not filled
clone it. then copy it 90 degrees. then 45 degrees all the way around 360 degrees.
and do it many times.
Then connect all the edges together to the next layer over.
and fill it in with polygon faces all the way around.
Then you have an actual 3D mandelbrot (Not mandelbulb or mandelbox!)

I have an example that ive made to sort of get the idea put into place.
Has anyone made a finished and completed version of this?

it looks like somewhat of a weird spaceship with an infinitely pointy tip

Heres a screenshot of my unfinished design (its very hard to build it manually with polygons and i struggled to even get what I currently have showed to have the mandelbrot texture)



* how to make THE REAL 3D mandelbrot.png (57.38 KB, 694x588 - viewed 412 times.)
Logged
claude
Fractal Bachius
*
Posts: 563



WWW
« Reply #1 on: May 25, 2017, 06:19:48 PM »

I think you are describing a surface of revolution.

See attached Fragmentarium example and output image.

* MandelbrotRevolution.frag (1.99 KB - downloaded 222 times.)

* MandelbrotRevolution.jpg (166 KB, 512x512 - viewed 434 times.)
« Last Edit: May 25, 2017, 06:53:14 PM by claude, Reason: attached things » Logged
realflow100
Forums Newbie
*
Posts: 6


« Reply #2 on: May 25, 2017, 07:11:28 PM »

Possibly. but significantly more detailed than that.

No luck finding that on google images.
Logged
SamTiba
Safarist
******
Posts: 83


« Reply #3 on: May 25, 2017, 07:54:55 PM »

You want to rotate the mandelbrot-structure around an axis?
welcome to the quaternion mandelbrot!

for your idea: why did you use a mesh? you could've taken every point and rotated it on it's own around a new axis, your solution is really expensive and since it's a fractal, meshing distorts the real mandelbrot set.
Logged

Some of my images: Pinterest
realflow100
Forums Newbie
*
Posts: 6


« Reply #4 on: May 25, 2017, 09:06:20 PM »

How would I do it then?
I dont mind a few million polygons thats fine as long as I can see it reasonably detailed.
Logged
SamTiba
Safarist
******
Posts: 83


« Reply #5 on: May 25, 2017, 09:22:26 PM »

if you have the point (x,y) with z = x + iy then the coresponding point on angle phi is (x,y*cos(phi),y*sin(phi)).
No need for millions of polygons there.
Logged

Some of my images: Pinterest
realflow100
Forums Newbie
*
Posts: 6


« Reply #6 on: May 25, 2017, 09:56:49 PM »

i have no idea what any of that means sorry i'm new to fractals still.
I dont know how to generate them i only know how to use existing fractal programs to explore known fractals.. so making my own 3D model of it is extremely difficult..
Logged
realflow100
Forums Newbie
*
Posts: 6


« Reply #7 on: May 26, 2017, 07:01:54 PM »

I feel like this is more "real 3D mandelbrot" than the mandelbulb or mandelbox because its the actual mandelbrot morphed into 3D by taking the 2D mandelbrot. converting it to an outline. and cloning it an infinite around of times rotated on it's center axis which creates a proper 3D mandelbrot in my opinion.

You could also do something similar by cloning the 2D outline only once. then simply giving depth to the two merging surfaces on both sides depending on iteration count and it would be like two mandelbrots at 90 degree angles to each other intersecting at the center axis and given depth. Which would probably look really cool. Probably has already been done. I just dont know how to do it myself.
Logged
lycium
Fractal Supremo
*****
Posts: 1158



WWW
« Reply #8 on: May 26, 2017, 08:46:36 PM »

cloning it an infinite around of times rotated on it's center axis which creates a proper 3D mandelbrot in my opinion.

If rotational symmetry created more "proper" 3D fractals, then a sphere would be the ultimate 3D fractal: it is the most symmetric 3D shape. In reality, the opposite is true: zooming in, it's perfectly flat; the same is true to a degree of this rotationally symmetric Mandelbrot: the rotational symmetry means that as you zoom in you're getting a flat surface, not more details.
Logged

realflow100
Forums Newbie
*
Posts: 6


« Reply #9 on: May 27, 2017, 05:33:58 AM »

Still though.. there would be neat spirals and various shapes if its detailed enough!

I'd like to know the formula in a program to generate a 3D mandelbrot in this fashion! It's probably significantly more complex.. I wonder if theres a 3D fractal viewer that you can input such a formula
Maybe it can only be done by using 3D models it might be difficult to generate a formula of the mandelbrot in this form of 3D
theres many ways to view the model of it too.
Logged
SamTiba
Safarist
******
Posts: 83


« Reply #10 on: May 29, 2017, 01:52:09 AM »

There is a formula behind it that describes this rotational behaviour, but the math is pretty tough.

I suggest you first take a look into the known programs, a lot of your question shall find their answer there.
For writing and programming your own formulas you should check out fragmentarium!
Logged

Some of my images: Pinterest
Pages: [1]   Go Down
  Print  
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
True 3D mandelbrot type fractal 3D Fractal Generation « 1 2 ... 36 37 » twinbee 549 601620 Last post November 19, 2009, 11:56:16 PM
by cKleinhuis
3D Mandelbrot type z^3 + p 3D Fractal Generation Buddhi 4 5529 Last post July 20, 2009, 04:17:50 AM
by lycium
Implementation: 3D mandelbrot type fractal 3D Fractal Generation « 1 2 » steamraven 27 64410 Last post August 21, 2016, 12:13:13 AM
by ironfractal
Re: True 3D mandelbrot type fractal Other / General Discussion shanest 2 26267 Last post November 20, 2009, 03:24:26 AM
by fractalrebel
Another (?) 3D mandelbrot type Theory Tater 0 2549 Last post January 28, 2013, 10:47:15 PM
by Tater

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 0.184 seconds with 24 queries. (Pretty URLs adds 0.014s, 2q)