Meanings of incredible intricacy in English

There was incredible intricacy in the depths of the affair; none could exactly tell who was pulling the strings, conducting the vast intrigue.

The decoration consists, as a rule, of stiff, conventional foliage, Arabic inscriptions, and geometrical patterns wrought into arabesques of almost incredible intricacy and ingenuity.

I saw that only the swarms of tentacles that were the Keeper's hands and these only could be masters of its incredible intricacies.