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Crossposted [here](https://mathematica.stackexchange.com/q/245399/58370).
Chip and me were discussing his function a few days ago, when I mentioned to him that this can be used to implement Lloyd relaxation in 3D. In the spirit of [this 2D Lloyd implementation][1] and [this spherical Lloyd implementation][2], I present the...
There is certainly something to be said for both approaches and the reality is probably that the truth lies in the middle somewhere. Here are some ideas I found myself going through after reading the original question: First of all, I think that...