Fractals - Mandelbrot (Julia)

[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]

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

I am quite confused.

[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]

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

And thanks, I'll check out the article.

[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.

[alcoholichealer]

lovely lovely

[ChaosTheorist917]

I love this video! Im trying to be as good as you and so i made 7 videos that are related in a way to fractal geometry and im probably going to post even more in the near future so subscribe and check it out!!

[PeelTower]

Are there similar animations which demonstrate the 'evolution' of certain 'life forms' which by simple rules of survival and extinction can be seen to evolve over time into more sophisticated entities? I'm sure a good software engineer could do it. It would be fascinating.

[philipchek]

c'est très joli. Very nice colors.

[FlowersBirdArtist]

Thank you very much for the visual explanation.

[hypatience]

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

[takeoverprojekt]

I love that concept. I'm favoriting this.

[PlayItAgainTubeSam]

nice presentation, this shows what the julia-diagram actually is

[bennymalone]

Great video, thanks.