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Sunday, May 29, 2011

Fear of fractal

A film that should not be missed if you love fractals like me, is The Cube. This film is a 1997 Canadian psychological thriller directed by Vincenzo Natali. Some people believe that this film is great because lies in a plot kafkaesque, where nothing explain why the characters are there or why was built that machine. Its prequel Cube Zero explains a little of an organization dedicated to this type of research of human behavior.

Whatever, the characters do not matter in their individuality only in their different abilities, are about six or seven people that appear in a cubic room with six doors, one is in each face of the cube.  Each of these doors leads into another room identical to the previous, that is to say, into a cubic room with six doors one is in each face of the cube. Some cubic rooms have death traps, so the characters must take care with the numbers inscribed on the edge of each door; when none of these numbers are primes, the room is safe and their can pass. Obviously, throughout the movie, some people die dramatically and only saved those with highest integrity and intelligence. The great thing about this movie is the metaphor for the men in a fractal complex, and how they can decrypt it with prime numbers and permutations.

Its sequel, the Hypercube, show how the characters face a dimensioned of a fractal complex in constant development, a fractal given by the recursion of the one cube exponentiated to infinity. I reckon that its resemblance to a kafkaesque paradigm is by the fractal recursion and helplessness of man to get out of this logical problem.



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Books

If you love fractals like me, you can not miss
How nature work by Per Bak
The quark and the jaguar by Murray Gell-Mann

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