* -ly: This creates an adverb, meaning "in an intricate way." Example: "The tapestry was intricately woven."
* -ness: This creates a noun, meaning "the state or quality of being intricate." Example: "The intricateness of the design was breathtaking."
* -tion: This creates a noun, emphasizing the act or process of making something intricate. Example: "The intrication of the plot kept the audience guessing."
* -ate: This creates a verb, meaning "to make intricate." This is less common, but you could say something like "The artist intricated the design with small details."
The best suffix to use will depend on the specific meaning you want to convey.