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“Burning Ship” fractal

paulbourke.net

51–60 of 75 posts

Re: “Burning Ship” fractal

#51
Burning ship? Personally it reminds me more of a pair of slightly twisted gothic style church towers (Notre Dame de Paris anyone?), or the more slender version, of some kind of fantastic gothic style bridge towers (think Golden Gate Bridge)...

Re: “Burning Ship” fractal

#52

Incredibly creepy. What if one day we found a fractal that contains a message from God?

"What if one day we found a _____ that contains a message from god?" describes almost any ancient divination method. One of the things that draws us to fractals is that they show us how iteration over simple rules can built complex structures that resemble forms from the natural world.

What I'm saying is, asking this question isn't a whole lot different than cutting open the liver of an animal sacrifice and trying to divine the will of the gods from the interior structure. Or cutting the throat of a prisoner of war and reading the splatter. Or watching the flight of birds. It doesn't say much.

Re: “Burning Ship” fractal

#53
post #9

Related: Burning Ship Fractal - https://news.ycombinator.com/item?id=12581569 - Sept 2016 (65 comments)

Just curious - do you have a script that finds related posts for each submission or do you rely on your memory, Dang?

Kind of a script, but not quite. Here's a pointer to past explanations: https://news.ycombinator.com/item?id=29370676.

Edit: or, to dereference all the way: https://news.ycombinator.com/item?id=26158300.

Re: “Burning Ship” fractal

#54

Xaos [1] is great for exploring fractals and the Burning Ship is no exception -- just define a user formula of powi(rabs(z)+i*rabs(im(z)),2)+c and set c to zero (or don't!). The views in the article are mirrored compared to xaos and are in the left area close to the axis. Some good views and palettes to explore interactively are (my taste!) around: ;Position file automatically generated by XaoS 4.2.1 ; - a realtime i…

Is there a list of awesome fractals to zoom into with Xaos somewhere?

edit: Wait a minute, it's right on the same site! http://www.paulbourke.net/fractals

Re: “Burning Ship” fractal

#57
post #49
post #5

Great YouTube video of a deep zoom: https://www.youtube.com/watch?v=2S3lc2G3rWs

What's the trick to implement a zoom like this in software? I remember many years ago implementing a trivial program to display the mandelbrot fractal, but as you zoomed in you quickly ran out of precision even if you used 64bit double floats. Is it just using "bignums" behind the scenes or is there a trick to "reset" the exponent due to the fractal nature of the display? I always wondered if, thanks to the self-simi…

I’d guess you need some kind of floating point bignum to do this. You can cache/memoize repeated Evals of the same point. But I think it would have to be the same point to some pretty tight tolerance (determined by screen resolution at the time). Regardless this video clearly had a lot of compute put into it.

Re: “Burning Ship” fractal

#58
post #15
post #5

Great 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.

The whole path of the video is define by a single complex number, with absurdly high precision. It’s just zooming in on that point.

Re: “Burning Ship” fractal

#59
post #49
post #5

Great YouTube video of a deep zoom: https://www.youtube.com/watch?v=2S3lc2G3rWs

What's the trick to implement a zoom like this in software? I remember many years ago implementing a trivial program to display the mandelbrot fractal, but as you zoomed in you quickly ran out of precision even if you used 64bit double floats. Is it just using "bignums" behind the scenes or is there a trick to "reset" the exponent due to the fractal nature of the display? I always wondered if, thanks to the self-simi…

I ran into the same problem, gave up on it. There must be some trick to it.

Re: “Burning Ship” fractal

#60
post #15

Earlier quoted context omitted.

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.

How is it possible that most stages have symmetries around the center of view?

The center of view coordinate was specifically chosen before the video was made. There is an infinite number of “interesting” coordinates.
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