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The Collaborative International Dictionary
Twilling

Twill \Twill\, v. i. [imp. & p. p. Twilled; p. pr. & vb. n. Twilling.] [Scotch tweel; probably from LG. twillen to make double, from twi- two; akin to AS. twi-, E. twi- in twilight. See Twice, and cf. Tweed, Tweel.] To weave, as cloth, so as to produce the appearance of diagonal lines or ribs on the surface.

Wiktionary
twilling

n. twilled fabric or patterning, or the process which produces this.