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Fractals - Patterns and Chaos

Posted: October 30th, 2010, 8:34 pm
by ExSan

Fractals - Patterns and Chaos

Posted: November 4th, 2010, 9:38 pm
by Traden4Alpha

Fractals - Patterns and Chaos

Posted: February 9th, 2011, 8:18 pm
by ExSan
The Beauty of Mathematics & God's Math

Fractals - Patterns and Chaos

Posted: March 2nd, 2011, 5:01 pm
by ExSan
NS - Travel into 3D fractalsQuoteIn the video above, you can see a stunning visualisation of a Mandelbox, a fractal with a box-like shape that was created using specialised software that repeats a simple formula. The computer program was developed less than two years ago and was used to turn the Mandelbrot set into 3D - creating a shape known as the Mandelbulb. The two-dimensional Mandelbrot set is perhaps the most well-known computer-generated fractal.

Fractals - Patterns and Chaos

Posted: March 11th, 2011, 1:24 pm
by ExSan
2701×2701 pixels2701×2701 pixels

Fractals - Patterns and Chaos

Posted: March 13th, 2011, 12:12 pm
by ExSan
RES 2701* 2701 PIXELS RES 2701* 2701 PIXELS

Fractals - Patterns and Chaos

Posted: March 21st, 2011, 6:05 pm
by ExSan
QuoteRES 2801* 2801 PIXELS RES 2801* 2801 PIXELS

Fractals - Patterns and Chaos

Posted: April 12th, 2011, 12:15 pm
by ExSan

Fractals - Patterns and Chaos

Posted: June 11th, 2011, 6:01 pm
by ExSan
Spektyr's Fractal Digital Art Gallery

Fractals - Patterns and Chaos

Posted: June 20th, 2011, 5:38 pm
by ExSan
E x S a n E x S a n

Fractals - Patterns and Chaos

Posted: July 14th, 2011, 12:22 am
by ExSan
graphS oF impliciT equationSCompliments/ Ref Implicit Eq by Sam AlexanderE x S a nUpdated post --> Downloadable File extract program ExSan_Imp_Eq to your desktop and execute.

Fractals - Patterns and Chaos

Posted: July 26th, 2011, 12:28 pm
by ExSan
NYT - The Mystery of the Menger Sponge QuoteOne of the proposed exhibits for the Museum of Mathematics involves a Menger sponge, a geometric object devised by a mathematician named Karl Menger in 1926. The Menger sponge consists of a cube with square holes, arrayed in a fractal pattern, through the top and the sides. ?It?s a well-known object that people have studied for a long time,? said George Hart, the museum?s chief of content. ?But it?s only recently that anyone thought to slice it in this interesting way.? In the proposed exhibit, a visitor can pull apart the two pieces of the Menger sponge and discover that the holes along the diagonal are not squares, but six-sided stars. "It's like a 'gosh, that's really cool' kind of emotion people have," Dr. Hart said. "It's a very nice example of how mathematics can give you these big surprises." Smaller blocks would help visitors understand what is going on. Along the diagonal, a square hole is stretched into a diamond shape, and the intersection of holes from three directions produces the Star of David shape.