I think it was Poincaré who said that space is infinite not only in the "large" but also in the "small". During some research on the mathematics of zoom I came across this video and though it has little connection to the "zoom of space-time" I found it beautiful to watch (and listen).
I hope you'll enjoy.
Cheers Euclid
Zoom me in
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Zoom me in
"In any special doctrine of nature there can be only as much proper science as there is mathematics therein.”
- Immanuel Kant (1724-1804), Metaphysical Foundations of the Science of Nature, 4:470, 1786
- Immanuel Kant (1724-1804), Metaphysical Foundations of the Science of Nature, 4:470, 1786
Re: Zoom me in
Cool! Bit puzzled why he says it took more than 10Gb of RAM to render at the limit, though--the nature of the Mandelbrot set means it takes more processing power as you zoom in, not more memory.
- red assassin
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Re: Zoom me in
Well, it's using an arbitrary precision floating point maths library - both memory and CPU requirements will grow as you zoom in because the necessary precision grows.
This is a particularly pretty render - very nice.
A still more glorious dawn awaits, not a sunrise, but a galaxy rise, a morning filled with 400 billion suns - the rising of the Milky Way
Re: Zoom me in
Maybe, but I find it hard to believe that two coordinates, their square, and the current value from the previous iteration--e.g. just four numbers!--take up 10Gb of storage!red assassin wrote: ↑Mon, 27. May 19, 21:08Well, it's using an arbitrary precision floating point maths library - both memory and CPU requirements will grow as you zoom in because the necessary precision grows.
- red assassin
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Re: Zoom me in
I assume there's some CPU/memory tradeoffs going on here and it's not just applying the naive iteration to every point in every frame of the movie from scratch!
A still more glorious dawn awaits, not a sunrise, but a galaxy rise, a morning filled with 400 billion suns - the rising of the Milky Way