  We present a new construction of codimension-one foliations from pairs of
contact structures in dimension three. This constitutes a converse result to a
celebrated theorem of Eliashberg and Thurston on approximations of foliations
by contact structures. Under suitable hypotheses on the initial contact pairs,
the foliations we construct are taut, allowing us to characterize taut
foliations entirely in terms of contact geometry. This viewpoint reveals some
surprising flexible phenomena for taut foliations, and provides new insight
into the $L$-space conjecture.
  The first part of the proof builds upon the work on Colin and Firmo on
positive contact pairs. The second part involves a wide generalization of a
technical result of Burago and Ivanov on the construction of branching
foliations tangent to continuous plane fields, and might be of independent
interest.
