We propose a logic of east and west (LEW ) for points in 1D Euclidean space. It formalises primitive direction relations: (E), (W) indeterminate east/west (Iew). has parameter τ ∈ N>1, which is referred to as the level indeterminacy directions. For every we provide sound complete axiomatisation LEW , prove that its satisfiability problem NP-complete. In addition, show finite axiomatisability...