[zenorogue]

Other Euclid's axioms should still hold in non-Euclidean geometry, but with portals and walls, they do not. Mathematicians who are experts in non-Euclidean geometry would agree that portals do not yield non-Euclidean geometry, e.g. Henry Segerman http://twitter.com/henryseg/status/970797060369846273 (see also http://twitter.com/marctenbosch/status/301331439725719552 ).