We establish that the derived Witt group is isomorphic to the usual Witt gr
oup when 2 is invertible. This key result opens the Ali Baba's cave of tria
ngular Witt groups, linking the abstract results of Part I to classical que
stions for the usual Witt group. For commercial purposes, we survey the fut
ure applications of triangular Witt groups in the introduction. We also est
ablish a connection between odd-indexed Witt groups and formulations. Final
ly, we prove that over a commutative local ring in which 2 is a unit, the s
hifted derived Witt groups are all zero but the usual one.