[OneDeuxTriSeiGo]

I really like the approach but it'd certainly be nice to be able to use alternate topologies.

Also it'd be nice if there was an underlying grid plotting the metric/distance function to help conceptualize distance/relationships better when you get to the edges.

[JdeBP]

If you look closely, you'll see that some faint dots are already outlining an order 7 triangular tiling.