How would you plot co-ordinates on a grid made from equilateral triangles?

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The standard square grid has two axis: x and y, how would a grid made from tesselating equilateral triangles work? (An isometric grid) Triangles don't have 2 sets of parallel sides, like squares so as far as I can tell 3 axis are needed:

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But then there is no easy way of interpreting it as each axis must have its respective grid lines coming of it from either a 30' angle or a 60' angle. And you have the problem where not all coordinate combinations can actually lie on the grid, eg. (x:1, y:2, z:3).

Is there some pre-existing method/standard of plotting "isometric coordinates" or is there no other way?

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If you use just two of the axes on your diagram then you have an unambiguous set of coordinates for your system.