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Iv'e been thinking about fractals.

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by , 2nd February 2013 at 11:36 AM (193 Views)
You know that thing dangling from N's belt? Thats a fractal known as a Menger Sponge. Its essentially a cube that, for each Stage, you take the middle 9th section of each square and dig a hole straight through. You could also achieve the same figure by building Stage 1 sponges in the pattern of a Stage 1 sponge (for a Stage 2 sponge) and building Stage 2 sponges in the pattern of a Stage 1 sponge (for a Stage 3). Of course, each Stage requires 20X the amount of resources and time as the previous. Its one of the few fractals you can properly build in MineCraft (and they're fun to do in MC, I might add). I like to imagine each block (or sub cube) as a little planet, with spaceships traveling through the empty space. Of course, we're assuming this universe is a Stage N sponge. And N isn't just a variable.
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Updated 13th April 2013 at 07:35 PM by Helioptile

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    *wink, wink*

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