Fractal Fossil

Minerals, the basic building blocks of rocks, form crystals.

Download parameter file rock.xpf

Whether made of a single molecule or billions, the shape of the crystal remains the same while it grows in size.

Thousands come together to make a large crystal which looks identical to the one made by a single member.

But don't take my word for it. I only took one course in geology and mineralogy was just a single chapter in the textbook.

But what if there was a crystal that was complex enough that when it grew it produced a typical mandelbrot shape?

Each new addition to the crystal was like the iteration of a fractal formula and produced the starting point where the next molecule was added to the crystal.

Like interlocking stone on a driveway. If the stones are curved, but the curvature is such that they never form exactly 360 degrees, never form a complete circle, then they would make a spiral, either inwards or outwards.

Anyhow, maybe such a mandlebrot fossil like the one pictured above is possible. Maybe an artificially made molecule could have fractal properties and it would be possible to grow fractal sculptures from it.

Or how about some variation of dominoes? A dominoe has two ends. The next dominoe must match the number on one of the ends. In a mixture of dominoes, eventually all of them would form into threads.

What am I saying? Who would want to look at a mathematical bowl of spaghetti?

But keep your eyes peeled. I'm sure the fractal minerals will be discovered soon. It could be you.

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