Is there a locally consistent projection for anywhere in the world?

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Is there any projection that I can use the gives me easting northing values that are locally consistent?

By locally consistent I mean:

  • For any pair of objects inside a square with 5km side; if I do distance = obj1.Position - obj2.Position, distance is the same as the actual distance between the pair.
From what I understand there is no such projection. Is there a way around it?

To be more general:

What I'm trying to do is render a 3D scene with geographically localized objects whose 3D models are to scale and I need the objects to be correctly positioned in relation to each other.

Is there a way to solve this problem for every "small" area of the world or am I better off asking the user for the best projection for "small" area?

Does doing this correctly involve a scale factor and this common projection?



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