Source : Webster's Revised Unabridged Dictionary (1913)

Intricacy \In"tri*ca*cy\, n.; pl. {Intricacies}. [From
   {Intricate}.]
   The state or quality of being intricate or entangled;
   perplexity; involution; complication; complexity; that which
   is intricate or involved; as, the intricacy of a knot; the
   intricacy of accounts; the intricacy of a cause in
   controversy; the intricacy of a plot.

         Freed from intricacies, taught to live The easiest way.
                                                  --Milton.