Hidden Structures of the Mandelbrot and Julia Sets
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Published 2017-03-24
All Comments (21)
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>understood nothing >looked cool >thumbs up
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This is really cool, thank you. It also cleared up the relationship between the Mandelbrot and Julia sets for me. In the end, they're just orthogonal slices of the same 4-dimensional shape!
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Now I just need to grow a third eye and have it offset in the 4th dimension so I can see the entire structure at once...
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Fractals give me this incredible feeling of vertigo. If you are trying to envision what infinity looks like, this is it: falling, endlessly falling, into more and more levels of detail.
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And a whole new universe opens up to me. I've coded both the Mandelbrot and Julia Set before. I always thought it was beautiful. But, to see it like this. It's almost spiritual. Thanks for the video!
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The rendering must've been a pain.
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This is probably the most beautiful rendering of the connections between the Mandelbrot/Julia sets I have seen. And although some commenters have complained about the loudness of the music, I think it is just right. I don't know what the music is, but if fits perfectly with the visualisation. Sounds a bit like some of Terry Riley's stuff from the 60's.
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So MSet and JSet are essentially just two 2D projections/slices of the same 4D fractal?
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I love how this feels like an 90's educational program you'd find on Clickview! Soundtrack drop when?
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Great, another video I have to watch 73 times to understand
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Electronic music and mathematical animations are a perfect pair!
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You Sir are a genius, wizard and magician. I coded 2d Julia's and Mandelbrot's 20 years ago and believed there had to be a 4d rendering possible, but never had the computing skills to make it happen. You have fulfilled a lifetime's hope. Truly astonishing, thank you.
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The three dimensional structures look like muscles.
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You know, the interesting thing is that the sweeps along the hyper-axes actually don't produce a chaotic behavior. I'd wager that you can find continuous 1D embeddings in there (not necessarily aligned with any of the canonical axes). That seems surprising, given the nature of the base sets, but maybe it isn't...opinions anyone? Great vid btw, somebody throw a render farm at this guy so he can render this at 4K with sufficient antialiasing!
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I had no idea that the Mandelbrot and Julia sets could be visualized in 3D. That was awesome!
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WOW! Talk about down the rabbit hole.
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It almost looks like a living thing
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The correlation between the two Sets is magnifically intuitive watching this animation. Well done!
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Dude just casually dropping supercomputer level simulations of every possible Julia set like it’s no biggie. Mad
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I've been a member of YT for as long as one might be, and it's the first time that I've both favourited and subscribed at the same time. I've been looking at Mandelbrots and Julias for even longer, and I've never seen them presented this way. Although I've known about the things that were shown, this video connected many dots and I came to know things about the knowledge I have. How splendid!
