Q: What fractal is created when each line segment is bent up at the middle so that its length is increased by one third infinitely repeated?

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Sierpinski Gasket

koch curve

Yes - as you "zoom in" on the sides of the snowflake, the same pattern occurs infinitely.

You can never draw a fractal because it is an infinitely replicating pattern. Unlike the decimal representation of a number, for example 1/3 where you can put a dot over the 3 to indicate the fact that the digit recurs infinitely many times, there is no short-cut available for fractals. To draw an approximation of a fractal, you start with some pattern in mind. You then replace some parts of the original pattern by similar but smaller versions of the pattern. Repeat again and again until the end of time - and beyond!

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4

Sierpinski Gasket

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koch curve

The Fractal Geometry of Nature was created in 1982.

Fractal Possession was created on 2007-05-02.

Seymour the Fractal Cat was created in 1996-04.

Yes - as you "zoom in" on the sides of the snowflake, the same pattern occurs infinitely.

Parasite - Fractal Glider album - was created in 2002.