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element90 —
Stone Tree and Yellow Light
Published: 2011-02-21 17:26:16 +0000 UTC; Views: 12776; Favourites: 370; Downloads: 0
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Description
This looks like it's been chiseled out of stone. Curiously the colour map produces a yellow light of the right hand side of the tree where it joins onto an inverted version itself (although slightly distorted).Created using mars and expanded using phobos (see my deviantID).
Parameters:
Formula: Unnamed
z <- ((z^alpha + c)^beta)/(z(z^alpha - c)^gamma)
alpha = 1.6
beta = 0.05
gamma = 0.15
c is the position in the complex plane and is used to initialise z
Image centre: -0.972936 + 0i
Long side: 0.0413
Outer colouring: Gaussian Integer (floor), average angle
Inner colouring: irrelevant as the entire image is outer.
Related content
Comments: 59
Marvelous and congratulation with your weel deserved DD
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Congrats on this as a Daily D! Your 'lighting' on the right is BRILLIANT!
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Hi there 
Would it be ok with you if I used this for our company logo? You will credit I promise!!
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Looks more like origami to me xP
And just wondering, does fractals take a lot of skills to use in art? Would it be better if I learn calc first?
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All you need is some fractal generating software, the are numerous examples such as Ultra Fractal, Fractal Explorer, Fractal Science Kit and Apophysis to name just a few.
I prefer to write my own software.
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What language do you use?
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I used C++ for my programs with the Gtkmm toolkit on Linux.
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I use C++ for graphic programming (well, I'm trying). JW, have you used SFML before?
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No I haven't used SFML, so far Gtkmm has fulfilled all my needs. I have experimented with OpenGL but as my fractal images are 2D ans are produced on a pixel by pixel basis I currently have no need for it.
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Very interesting *checks it out*
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That seems absolutely perfect to me. Not too much, and not too little. It is an absolutely awesome piece of artwork. A round of applause for you!
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Congratulations on the DD! Phobos is working just fine.
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Thanks. Mars and Phobos have been retired, they have been replaced with Saturn and Titan.
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"WE MAKE HER PAINT HER FACE AND DDAAAANNNCCCEEEEE!!!!"
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oh, i've seen this tree in so many versions, but this one is truely outstanding - congrats to your well deserved DD...
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This is wonderful - for whatever strange reason I envision it as a Music Theater Acoustic architecture.
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Wow! I actually love this, and I am generally not a fan of fractal art!
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wait this is the result of a math equation? I've seen some math but if this is you sir are wicked sick.
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Indeed it is, repeated many many times.
Thanks for the comment.
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What type of equation is this. Just curious cause I saw my high school math teacher run a program that showed how to do a yen-yang with a deciently long equation (and other things).
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The equation is shown in the description (^ means raise to the power).
The equation uses complex numbers, it is evaluated using a starting value which represent a position on the complex plane resulting in a new value of z the equation is evaluated again using this new value of z and so on until a bailout condition or maximum number of iterations is reached. This is done for a rectangular area on the complex plane in this case it is represented by 14080 by 10560 points.
It is constructed using the same method as the famous Mandelbrot set [link] using the formula shown in the description with the slight variation of that the starting values are not zero but are instead the position on the complex plane.
The colouring method used is based on Gaussian Integers which is where a complex number is changes so that its real and imaginary parts are integers instead of real numbers e.g 1.2 + 1.9i would become 1 + 1i if the truncation method is used, 1 + 2i if rounding is used, there are two further methods ceiling and floor, i.e. the nearest integer above or the nearest integer below. A colour is selected using the average of the angle from the value of z to its gaussian integer at each iteration.
This fractal is only one numerous fractals of this type. The are fractal types see this wikipedia article [link] .
Have fun investigating.
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wow. That is mind blowing. I mean really that is something. Logic mixed with creativity, science with fantasy. Seriously that is wicked sick.
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Thanks for letting me know about the DD as I was unaware, I thought it was odd that people were suddenly adding it to their favourites, now I know why.
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