Great, now I want to play Return of the Obra Dinn again
“Burning Ship” fractal
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Re: “Burning Ship” fractal
#12Re: “Burning Ship” fractal
#13Incredibly creepy. What if one day we found a fractal that contains a message from God?
this one's message seems pro-piratical
Re: “Burning Ship” fractal
#14Great YouTube video of a deep zoom: https://www.youtube.com/watch?v=2S3lc2G3rWs
Really enjoyed this, the Mandel build one on the same channel is also incredible.
Re: “Burning Ship” fractal
#15Great YouTube video of a deep zoom: https://www.youtube.com/watch?v=2S3lc2G3rWs
This is crazy. How do they pilot the zooming of the fractal? It must be carefully planned and programmed in to generate the video.
edit: I guess if they find an interesting thing very zoomed-in, then zoom out from that, the whole video will be interesting.
Re: “Burning Ship” fractal
#16Incredibly creepy. What if one day we found a fractal that contains a message from God?
It would be like finding the face of Jesus on a piece of toast, or the face of an alien on a satellite image of Martian surface. (Both of which were actual images that gathered some cult following in their time.)
Spend enough time applying human interpretation to non-human processes, and something will eventually come up that tickles your senses.
Re: “Burning Ship” fractal
#17I've experimented with the "Mandelbar" (sometimes called the "tricorn") fractal over the split-complex numbers: https://imgur.com/PkzY7B6
The result isn't completely trivial, but isn't particularly impressive either.
Anybody want to try Burning Ship over the split-complex numbers? It looks like you only need to replace the complex "i" with the split-complex "j".
Re: “Burning Ship” fractal
#18This fractal is non-holomorphic which makes it kind of a dumpster fire..or a burning ship I guess... The easiest layman's definition of holomorphic is any function or operations on complex numbers that doesn't peek at the real and imaginary parts of the complex number. In algebra, there is no combination of algebraic operations [1] that can do so. But on computers, we have Re(z) and Im(z), which are easy to calculate…
If you replace the complex numbers with split-complex numbers, then the set of holomorphic functions becomes uninteresting. You therefore need to use * (meaning the split-complex analogue of complex conjugation) to get anything interesting. It follows that the obvious analogue of complex analysis over the split-complex numbers is pretty sterile, but I think that the split-complex numbers themselves remain interesting.
The operation * (meaning conjugation) isn't totally ugly. The reason for that is because it shows up in matrix theory. A lot of families of matrices (like the unitary and the self-adjoint matrices) are defined using *. Therefore, while the function theory of the split-complex numbers might be boring, their matrix theory is still somewhat interesting because of its dependence on *.
The relevance to generating fractals using the split-complex numbers is that you need to use non-holomorphic functions to get interesting results. Some results here: https://news.ycombinator.com/item?id=32211495
Re: “Burning Ship” fractal
#19Great YouTube video of a deep zoom: https://www.youtube.com/watch?v=2S3lc2G3rWs
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Re: “Burning Ship” fractal
#20Great YouTube video of a deep zoom: https://www.youtube.com/watch?v=2S3lc2G3rWs
This is crazy. How do they pilot the zooming of the fractal? It must be carefully planned and programmed in to generate the video. edit: I guess if they find an interesting thing very zoomed-in, then zoom out from that, the whole video will be interesting.
I'm not sure your edit is right. No reason why there can't be a tiny but very complex thing which looks single-colour at the next 1 or 10 or 100 orders of magnitude.
But there are an infinite number of very interesting things in this fractal. If you constantly zoom in on interesting looking areas, you will find this kind of complexity with minimal need for backtracking.