Z = Z² + C simple but genius - the beauty of fractal math #002

in #art7 years ago

!an_WOW_archihd.jpg

Z = Z² + C simple genius mandelbrot formula

mandelbrot.jpg
The ‘Father of Fractal Geometry’ is the mathematician Benoit Mandelbrot who studied and popularized it.

A Mandelbulb is a 3D manifestation of the Mandelbrot set. It is an infinitely complex, naturally occurring fractal object.

golden_baloonZ-60x35-200dpi.jpg

Todays fractals show a geometry of fractal set, with emphasis on the Iterated Function System (IFS) formalism for generating 3d dimensional fractals. Instead of just a slice we calculate the whole structure. It also contains infinitely detailed worlds of baroque splendor that pose mathematical questions unanswered even today. We can use the formulas to calculate, but we have no idea why and how the fractals self organize in this endless beauty. A mystery even for fractal scientists.

Iterated Function Blocks

all fractals rendered by elgeko4.gif

leave your comment, upvote, resteem, follow
more Fractals beauties coming soon
geko_lonius-vsmal444444l.jpg
@elgeko fractal explorer since 1986

Sort:  

Of the first three, I'm impressed by the mechanical structured nature of the first, the spiritual quality of the second, and the organic feel of the third.

The fourth one has many right angles, which aesthitically is not pleasing to my soul. It has curves, but not in the same way the previous three have curves. Right angles communicate artificiality to me. I'm not a fan of the artificial. I like the sincerity of the organic. :-D

Thank you, seablue for the feedback, the second is the sliced mandelbrot classic, the forth is made of boxes indeed many right angles. Maybe I should load the organic setting and dive into the spheroids to have a closer look. :)

Thanks for sharing.
I love mandelbrot things..
And this "city" is amazing:

This is an awesome art. Its really amazing photo and also creative art. I really impressed your art photography.

Coin Marketplace

STEEM 0.19
TRX 0.18
JST 0.032
BTC 88139.36
ETH 3066.37
USDT 1.00
SBD 2.76