  This paper studies the defect of terminal Gorenstein Fano 3 folds. I
determine a bound on the defect of terminal Gorenstein Fano 3-folds of Picard
rank 1 that do not contain a plane. I give a general bound for quartic 3-folds
and indicate how to study the defect of terminal Gorenstein Fano 3-folds with
Picard rank 1 that contain a plane.

Algebraic Geometry