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yes, yes, we've all seen fractals before...but look at this
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Author:  Crosscheck [ Mon Nov 16, 2009 3:26 pm ]
Post subject:  yes, yes, we've all seen fractals before...but look at this
So a typical fractal we're used to seeing is a Mandelbrot fractal that looks something like this:

Image
http://en.wikipedia.org/wiki/Mandelbrot_set
Those are calculated via an orbit around a 2D plane.

Well about 20 years ago someone came up with the set of calculations that would produce a 3D fractal or "Mandelbulb", but the computational power to render one didn't exist until around 2007 (I don't know why I just discovered this).

Here's a sample of just how badass this looks:
Image

Many more pictures here:
http://www.skytopia.com/project/fractal/mandelbulb.html

Wow.
Author:  icehound [ Mon Nov 16, 2009 4:38 pm ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
...god, I thought the title said: "facials"...

Mind in the Gutter Syndrome.

:lol: :lol: :lol: :lol: :lol:
Author:  ItsMe [ Mon Nov 16, 2009 6:06 pm ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
Must be something in the water....so did I
Author:  Wozniak [ Mon Nov 16, 2009 6:31 pm ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
icehound wrote:
...god, I thought the title said: "facials"...

Mind in the Gutter Syndrome.

:lol: :lol: :lol: :lol: :lol:

Image

whats wrong with facials?
***
as for the picture, that pretty sweet.
Author:  fly as hale [ Mon Nov 16, 2009 7:15 pm ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
Wozniak wrote:

whats wrong with facials?

Nothing, nothing at all... :whistle:
Author:  Montalo [ Mon Nov 16, 2009 7:18 pm ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
can you explain what the is in nice, easy words
Author:  Rud [ Mon Nov 16, 2009 7:21 pm ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
That is quite the omission.
Author:  Crosscheck [ Mon Nov 16, 2009 8:27 pm ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
Montalo wrote:
can you explain what the is in nice, easy words

A fractal is basically taking a geometric shape, slicing away part of it, shrinking that and repeating (to infinity if you want).
Image

They're interesting mathematically and physically to people much smarter than myself. The reason they interest most other people is they make pretty pictures...but that's also the weird part. It's a relatively simple repeating mathematical equation that, when plotted, could have just created random looking data, but instead created quite beautiful patterns.

Up til now we've only been able to do it in 2D

Here's a side by side of 3D vs 2D:
ImageImage
Author:  Wozniak [ Mon Nov 16, 2009 9:00 pm ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
fly as hale wrote:
Wozniak wrote:

whats wrong with facials?

Nothing, nothing at all... :whistle:

you dont say... :think: :D
Author:  icehound [ Mon Nov 16, 2009 10:30 pm ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
...back on topic: Those 3D images are stunning. They're...voluptuous. They look like some kind of universal organic architectural elements.

Look good enough to eat; like icing on some mad cake.

Sometimes I absolutely love the future that "now" has become. Finally.

I had dreamt about such visualizations, years ago. As a student, trying to portray "flow" and "trend" and "tendency", (and other varying recurring elements) as a visual representation of fluid dynamics; eddies and cavitation and various mixing/blending dynamics.

Hand drawn (and shaded) sketches didn't do justice to the mathematics.

And, here they are. Lovely. Like logic, made crystalline.

:D

Thanx, XC.
Author:  daz28 [ Tue Nov 17, 2009 1:05 am ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
Fractal geometry and the infinite universe may be two of the most interesting things ever considered(combined unimaginable). Imagine how the first person to see something really small or large for the first time felt?? Probably better than someone who was abducted by an alien or spoke to Satan through his Black Lab.
Author:  mechaphil [ Tue Nov 17, 2009 1:08 am ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
Mad? Weird? Infinity? This can only mean one thing:

Image
Author:  psychemedisabrefan [ Tue Nov 17, 2009 1:41 am ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
icehound wrote:
...god, I thought the title said: "facials"...

Mind in the Gutter Syndrome.

:lol: :lol: :lol: :lol: :lol:


same here sir.
Author:  Wozniak [ Tue Nov 17, 2009 2:00 am ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
mechaphil wrote:
Mad? Weird? Infinity? This can only mean one thing:

Image

hey, its the thing that looks like someone named it by headbutted their keyboard.
Author:  acrossthelines [ Tue Nov 17, 2009 2:55 am ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
I first saw a 3D fractal when I was a child.

Image

:D
Author:  Wozniak [ Tue Nov 17, 2009 4:15 am ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
acrossthelines wrote:
I first saw a 3D fractal when I was a child.

Image

:D

what the hell?
Author:  acrossthelines [ Tue Nov 17, 2009 4:33 am ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
Wozniak wrote:
what the hell?


It's Romanesco broccoli, a naturally occurring fractal.

Math governs everything.
Author:  Wozniak [ Tue Nov 17, 2009 4:38 am ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
acrossthelines wrote:
Wozniak wrote:
what the hell?


It's Romanesco broccoli, a naturally occurring fractal.

Math governs everything.

ever hear about the Golden Ratio (aka Fibonacci Ratio/Number)

some amazingly crazy stuff there.
Author:  Hammygoodness [ Wed Nov 18, 2009 3:25 pm ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
Wozniak wrote:
ever hear about the Golden Ratio (aka Fibonacci Ratio/Number)

some amazingly crazy stuff there.

Ever hear of the Golden Rule? I think it's something along the lines of:

Don't skate with your head down.

Ham
Author:  Wozniak [ Wed Nov 18, 2009 10:28 pm ]
Post subject:  Re: yes, yes, we've all seen fractals before...but look at this
Hammygoodness wrote:
Wozniak wrote:
ever hear about the Golden Ratio (aka Fibonacci Ratio/Number)

some amazingly crazy stuff there.

Ever hear of the Golden Rule? I think it's something along the lines of:

Don't skate with your head down.

Ham

the golden ratio more or is found in everything.
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