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Showing posts with label Mandelbrot 3D. Show all posts
Showing posts with label Mandelbrot 3D. Show all posts

Sunday, July 24, 2011

Interview with DavidMakin!

David Makin is another fractalnaut who frequently haunts the hallways of fractalforums.com ... Here are his answers to my 8 question interview.

Pandora's Box ~ See more at David's dA page

What first got you into Fractals?

In April 1999 I had some free time and was just browsing the web and came across Fractint.
I had heard of fractals and vaguely recalled some psychedelic imagery being associated with the term but I had no idea what they were.
After using Fractint for around an hour or so I was well and truly hooked on both the Art and Math of Fractals - as with many programmers/mathematicians I was staggered by the (apparent) simplicity of the maths involved in producing such complicated and beautiful results.
In fact it was the second revelatory moment in my life - the first being when I read through a BASIC manual age 20 (1982) after never having been near a computer in my life before.
Almost immediately after trying Fractint (like many other programmers) I set about writing my own fractal software - the now rather outdated "MMFrac" (Makin' Magic Fractals).

In your opinion, which programs for both 2D and 3D fractals are absolute must-have's for any
aspiring fractalnaut?

Interview with bib!

I posted the Interview with Mandelwerk link on fractalforums.com and asked if anyone else would like to answer the same questions. Here is bib's response :)

Underwater Amazing Object by bib - See more on bib's dA page
What first got you into Fractals?

My father bought me the famous book "The beauty of fractals" shortly after it came out, I was 13.
At the same time my cousin who was an Amiga geek programmed the Mandelbrot set in assembler, it was 
fascinating.

My programming skills were not sufficient, so I started to draw fractals by hand, starting with the Pythagoras tree.
I soon discovered an original method to draw by hand the Levy dragon (at that time I thought I had invented a new fractal!)

In your opinion, which programs for both 2D and 3D fractals are absolute must-have's for any
aspiring fractalnaut?

Monday, July 11, 2011

Mandelbulb 3D Tutorial: Cutting!

While playing around today on M3D, on a whim I decided to click on the Cutting tab in the Render window, just to have a look. 'Turns out, cutting can be a whole lot of fun :)

The Cutting Tab
To best demonstrate this great little tool, I'm going to use the same formula that loads on default when opening the program, except, I'm going to change the power and make it 2 instead of 8. Now many of you may have already loaded this formula with this little change, since the original 2D Mandelbrot set uses the 2nd power. And many of you would have gone, "Hmm, but that looks nothing even near the amazing Mandelbrot set!" ... Well, if you slice that weird looking thing using the cutting tool, you'll see something more familiar ;)

Allow me to demonstrate. Here is the very strange looking 3D version of the Mandelbrot set:

3D Mandelbrot Set
Next, I simply clicked on the z-axis checkbox (See image above), left the value as 0.00, and clicked Calculate 3D ... :

3D Mandelbrot Set cut along z Axis at 0.00
:) ... Remember this? Isn't it beautiful? Now, the nice thing about this is that, you can zoom into those little nooks and crannies, some of which are not really reachable when you're trying to navigate the entire 3D fractal in it's full bulk. Here, let me show you...:

Zoom-in 01

Zoom-in 02

Zoom-in 03
Nice :) Now let me change the colouring a bit so we can better see what's going on in there:


Well, it's only a little better, but you get the idea :) ... From here you can choose a spot, zoom in, zoom back out again, choose a different spot and try again, etc... With different formulas even the most experienced 3D fractalnauts would be able to find new and interesting areas had they never used cutting before.

Ok, now I'll load the original Mandelbulb (power 8) to demonstrate further. Here she is, cut in exactly the same way as above:

Mandelbulb cut along Z-axis at 0.00

Now, what happens if we change the value "0.00" ? It gets cut through either higher or lower, depending on, of course, whether you put in a positive or negative value. Here is a series of screenshots to demonstrate:

Mandelbulb cut along Z-axis at -0.8

Mandelbulb cut along Z-axis at -0.4

Mandelbulb cut along Z-axis at -0.2

Mandelbulb cut along Z-axis at 0.3

Mandelbulb cut along Z-axis at 0.6
So it follows that the same thing can be done with the x and y axis. And you can turn any/all of them on at the same time. Here I cut the Mandelbulb along the z and y axi, both at 0.00 (with a bit of rotation for a better view):


And that concludes my 5th Tutorial page about the wonderful Mandelbulb 3D program. Thanks for watching! :)


If my tutorial is helping you, please consider supporting me over at my Patreon page.
I also have a deviantArt gallery.


Go to the next Tutorial page - Mandelbulb 3D Tutorial: Render Quality