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Equation for Factorial growth of a cubic 3D lattice?
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I've been searching forever and can't find it.

To visualize it...

Imagine a starting location A.

From A you can touch another 26 vertices along a cubic lattice. This would be 3D "2!". From there you keep going, adding each new vert you can touch to the total.

Doing this in a 3d modeling program is hard, but if I counted right...

3! would be 81

4! = 171

Is there a readily available equation for figuring this out?

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9 years ago