  Abstract axiomatic formulation of mathematical structures are extensively
used to describe our physical world. We take here the reverse way. By making
basic assumptions as starting point, we reconstruct some features of both
geometry and topology in a fully operational manner. Curiously enough,
primitive concepts such as points, spaces, straight lines, planes are all
defined within our formalism. Our construction breaks down with the usual
literature, as our axioms have deep connection with nature. Besides that, we
hope this operational approach could also be of pedagogical interest.
