Fractals - Mandelbrot (Julia)

Here is a wonderful video of a Julia (Mandelbrot) fractal brought to life. Obviously, someone had the presence of mind to subtitle it. Nerd power +5. http://www.fractint.org for those who care.

Category:

Howto & Style

Tags:

• Fractal
• Mandelbrot
• Julia
• infinity
• Fractint
• dlimitr

[hypatience]

This is the most inspiring thing I've seen on Youtube for a long time. Thanks!!

[stevebelzer]

Complex numbers are numbers with real and/or imaginary parts, the imaginary number "i" being the square root of -1 (since there is no real number r that satisfies the equation r = sqrt(-1), i had to be invented. A complex number is written a + bi where a and b are real numbers. A complex number a + bi is represented in the complex plane at the coordinates (a,b) in the complex plane.

[pdxnfl]

Superb. But I'm a clueless peasant before the mathematics. For me, I recall a video on I believe SCI channel recently that made a lot of sense. Any idea what the name of that show might be?

Thanx

[jgoemat]

To generate, you iterate on the formula z = z*z + c. If the absolute value ever exceeds 2, it will eventually trend towards infinity. The black area is where you never reach 2 and the colors are based on how many iterations it takes to reach 2. The difficult part is that z and c are complex numbers with x being the real part and y being the imaginary part (z = x + iy). To get z*z, the new x is x*x-y*y and the new z is 2*x*y. c is the original (x + iy), so add the original x to x and y to y.

[DivineNucleus]

-- Computer, run this command, and create the roads with quantum computer the way for this operation, code name = paved. Command = servants all percent loyal to Collin created by Collin are to arrive as GOOD, in order to win the war against evil, to kill evil -- heal Collin Woodard's human body of all sickness and disorder using correct forces, miracle forces, the correct way, this will cause an echo in shape to cause healing for All-- beware the DOG, who can smell the evil -- START/Collin's Y R

[DivineNucleus]

(1(CollinCreatedPINKEYEALLperc­entLoyaltoCollin--)1) -- -- o

[DivineNucleus]

(1(CollinCreatedHENRYloyaltoCo­­­llin--)1) -- instructing JULIA with pattern LOYAL to Collin Created Moral law within -- the number of the embodiment, the bravery of life, the JUSTICE of HEN CODE loyal to Collin -- Serve Collin while he lives on EARTH, do not hurt him or misguide him, do not puppeteer the earth, humans or the people closely involved with Collin = HEN CODE LAW -- ACTIVATE OATH CD!!

[caffeinato]

For some reason the "complex plane" makes me think of something like the 4th spatial dimension.

And thanks, I'll check out the article.

[HubertCumberdale22]

You're not stupid - this equation is not self-explanitory at all.

It isn't even explained that every c in this equation corresponds to a certain Point in the complex plane (whatever that is!)

There's a good wikipedia article about the mandelbrot set , check it out!

[caffeinato]

I might just be stupid, but z=z^2+c

I am quite confused.

[alcoholichealer]

lovely lovely