Ithaca ( Ithaka or Ithaki ; Greek : Î Î Î Î Î ) is one of the Ionian Islands on the west coast of Greece . Ithaca or Ithaka ( Greek : Î Î Î Î Î , IthakÄ `` ) is an island located in the Ionian Sea , in Greece , with an area of 45 s and a little more than three thousand inhabitants .