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Re:Hexagonal Grids by itishappy on Friday October 20, 2023 @02:31PM (#37959753)
Good point! Hmm...

If I understand correctly, homogeneous coordinates have additional independent dimensions, but are many-to-one instead of constraining their parameters. Maybe normalized homogeneous coordinates? That's not a particularly interesting system.

I'm now second guessing my definition of coordinate system...

Re:Hexagonal Grids by SeanLuke on Friday October 20, 2023 @02:44PM (#37959892)
Would points in a simplex qualify as a coordinate system? Their dimensions would have to sum to 1. That is, so-called "normalized" barycentric coordinates maybe, as opposed to standard barycentric coordinates?

https://en.wikipedia.org/wiki/Simplex

https://en.wikipedia.org/wiki/Barycentric_coordinate_system