intric

The root of intric is a wonderfully vivid Latin word: trīcae, meaning 'tangles, trifles, perplexities' — the little knots and snags that get in your way. Latin built intrīcāre from in- (into) + trīcae: to get something INTO a tangle, to entangle. From this knotted image grows a small, tight family.

The core survivor is intricate: literally 'tangled up,' now 'having many small parts woven closely together' — an intricate design, an intricate plot, an intricate machine. The noun intricacy is the quality of being so tangled; the adverb intricately describes work done with that woven complexity.

The opposite move is the most satisfying member: extricate. Swap in- for ex- (out) and you get 'to pull OUT of the tangle' — to free someone or something from a difficult, knotted situation. You extricate yourself from an awkward conversation, or rescuers extricate a driver from a wreck. extricable is the adjective: able to be untangled.

intrigue is the family's dramatic cousin. It came through Italian and French from the same intrīcāre, originally meaning 'to entangle' — and a plot is exactly that, a deliberate tangle of secret schemes. Over time intrigue split: as a noun it kept the dark sense (political intrigue, palace intrigue), but as a verb it softened into 'to fascinate,' to tangle someone's curiosity. That is why intriguing means captivating: it has caught you in its web.

One caution: intrinsic LOOKS like it belongs here, but it doesn't — it comes from intrā + secus (the sequ 'follow' family), meaning 'on the inside.' Same in-tr- opening, completely different root.

The throughline of the real family: a knot. Make the knot (intricate), pull free of it (extricate), or get caught in it (intrigue).