  This chapter from the upcoming Handbook of Knot Theory (eds. Menasco and
Thistlethwaite) shows how to construct hyperbolic structures on link
complements and perform hyperbolic Dehn filling. Along with a new elementary
exposition of the standard ideas from Thurston's work, the article includes
never-before-published explanations of SnapPea's algorithms for triangulating a
link complement efficiently and for converging quickly to the hyperbolic
structure while avoiding singularities in the parameter space.
