We live in a mind-boggling big universe and our small brains can only grasp tiny fragments of its entire complexity.
... but in each fragment lies a world of its own.
We live in a mind-boggling big universe and our small brains can only grasp tiny fragments of its entire complexity.
... but in each fragment lies a world of its own.
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reflectionsthousand worlds in each reflection - it took 3 days on 2 computers to render this 70 billion pixel image and to cut it into 1.4 million tiles |
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mandelbrotan infinite world in one equation - iterating the function z'=z²+c in the complex plane creates this beautiful fractal |
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blue stringthe complex function z'=c²/(z+1) creates this string - but there is no blue string, only an endless number of dots |
Even the most complex structures can emerge from very simple but continuously repeating processes.
You can find these structures everywhere: e.g. in corals, ferns, broccoli, trees, wood grain, bacteria, lungs, fluids, shells, crystals, thunderbolts, coastlines, rivers, landscapes, dunes, galaxies, earthquakes, animal populations, heartbeats and even in the rhythm of a dripping water tap.
It seems as if anything made by nature is fractal and maybe nature itself.
So, perhaps the challenge is not to understand the complexity of the universe,
but to understand the simplicity behind it.
These pages show some of our computer generated pictures. Each of them has 70 billion pixel (= 70 gigapixel) and consist of 1.4 million tiles (uncompressed about 275 GB). Printed out in full color resolution, each of them would have a size of 90x90 meters.