involute

in·vo·lute  (nv-lt) adj. 1. Intricate; complex. 2. Botany a. Having the margins rolled inward. b. Having whorls that obscure the axis or other volutions, as the shell of a cowrie. intr.v. in·vo·lut·ed, in·vo·lut·ing, in·vo·lutes 1. To curl inward. 2. To return to a normal or former condition. n. The curve traced by a point on a taut, inextensible string as it unwinds from another curve. [Latin involtus, past participle of involvere, to enwrap; see involve.] invo·lutely adv.

involute x=r cos + r sin y=r sin - r cos

---

involute

Adjective

also involuted

1. complex, intricate, or involved

2. rolled inwards or curled in a spiral

Noun

Geom the curve described by the free end of a thread as it is wound around another curve on the same plane [Latin involutus]

Thesaurus

Adj.	1.	involute - especially of petals or leaves in bud; having margins rolled inward rolled phytology, botany - the branch of biology that studies plants coiled - curled or wound (especially in concentric rings or spirals); "a coiled snake ready to strike"; "the rope lay coiled on the deck"
	2.	involute - (of some shells) closely coiled so that the axis is obscured coiled - curled or wound (especially in concentric rings or spirals); "a coiled snake ready to strike"; "the rope lay coiled on the deck"