Etymology
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intricate (adj.)
early 15c., from Latin intricatus "entangled," past participle of intricare "to entangle, perplex, embarrass," from in- "in" (from PIE root *en "in") + tricae (plural) "perplexities, hindrances, toys, tricks," a word of uncertain origin (compare extricate). Related: Intricately; intricateness.
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intricacy (n.)
c. 1600, "state of being complex;" 1610s, "an intricate situation or condition," from intricate (adj.) + -cy. Related: Intricacies.
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intrigue (v.)

1610s, "to trick, deceive, cheat," from French intriguer (16c.), from Italian intrigare "to plot, meddle; perplex, puzzle," from Latin intricare "to entangle, perplex, embarrass" (see intricate).

Meaning "to plot or scheme" is recorded by 1714. That of "to excite curiosity" is from 1894 (OED calls this use "A modern gallicism"). It also could mean "carry on a clandestine or illicit sexual relationship" (1650s). The word appears earlier in English as entriken "entangle, ensnare; involve in perplexity, embarrass" (late 14c.), from Old French entrique or directly from the Latin verb. Related: Intrigued; intriguer; intriguing. Dutch intrigueren, German intriguiren are from French.

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*en 
Proto-Indo-European root meaning "in."

It forms all or part of: and; atoll; dysentery; embargo; embarrass; embryo; empire; employ; en- (1) "in; into;" en- (2) "near, at, in, on, within;" enclave; endo-; enema; engine; enoptomancy; enter; enteric; enteritis; entero-; entice; ento-; entrails; envoy; envy; episode; esoteric; imbroglio; immolate; immure; impede; impend; impetus; important; impostor; impresario; impromptu; in; in- (2) "into, in, on, upon;" inchoate; incite; increase; inculcate; incumbent; industry; indigence; inflict; ingenuous; ingest; inly; inmost; inn; innate; inner; innuendo; inoculate; insignia; instant; intaglio; inter-; interim; interior; intern; internal; intestine; intimate (adj.) "closely acquainted, very familiar;" intra-; intricate; intrinsic; intro-; introduce; introduction; introit; introspect; invert; mesentery.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit antara- "interior;" Greek en "in," eis "into," endon "within;" Latin in "in, into," intro "inward," intra "inside, within;" Old Irish in, Welsh yn, Old Church Slavonic on-, Old English in "in, into," inne "within, inside."
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mazy (adj.)

"like a maze, winding, intricate," 1570s, from maze (n.) + -y (2).

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involute (adj.)
early 15c., "wrapped," from Latin involutus "rolled up, intricate, obscure," past participle of involvere "envelop, surround; roll into, wrap up" (see involve).
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origami (n.)

Japanese art of folding paper into intricate designs, 1956, from Japanese origami, from ori "fold" + kami "paper."

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complicate (v.)

1620s, "to intertwine," from Latin complicatus "folded together; confused, intricate," past participle of complicare "to involve," literally "to fold together," from com "with, together" (see com-) + plicare "to fold, weave" (from PIE root *plek- "to plait"). Meaning "to make more complex or intricate" is recorded from 1832, from earlier sense "to combine in a complex way" (17c.). Related: Complicated; complicating.

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pilot (v.)

1640s, figurative, "to guide, to lead, direct the course of, especially through an intricate or perilous passage;" 1690s in the literal sense "to conduct (a vessel) as a pilot," from pilot (n.) or from French piloter. Related: Piloted; piloting.

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complicated (adj.)

1640s, "composed of interconnected parts, not simple," past-participle adjective from complicate. Figurative meaning "not easy to solve, intricate, confused, difficult to explain or understand" is from 1650s. Related: Complicatedness.

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