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Like Perlin's Simplex Noise but don't like the patent that comes with it? Introducing OpenSimplex Noise!

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I never liked simplex noise.  It was ok for 2D noise, but the underlying grid didn't scale well to 3D noise, where the gradient contribution on a given point had to have very large falloffs as to not extend past the boundaries.  4D noise was right out of the question.

 

That said, nice work.  I was not aware of the simplectic honeycomb, clever use ;)

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