> I know about the projection but why should it affect the scale? This
> inconsistency is making it difficult for anyone to create any ground
> level floor plan and handling of precise localization. I do feel it is
> a bug that everyone have taken for granted.

Mercator designed his projection to be useful for navigation, i.e.
mapping large features (oceans, islands) on the surface of a globe
onto flat sheets of paper.

It does allow very accurate localization, to the nanometre if you can
get your data good enough.
It is true that Mercator is not ideal for drawing floorplans.  It is
a map, not an architectural aid.

But ... unless your buildings are very very large, any distortion due
to Mercator will be insignificant.  Maybe you can show us what your
problem is exactly?  Are you believing that some GPS reading is
accurate, just because there are lots of decimal places?  Are you
using different coordinate systems?  Are you tracing building outlines
off the map?

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