A twill jersey is a type of sports uniform that is made of
twill. Twill is a woven fabric with a ribbed pattern that is
diagonal and parallel.
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Twill is a weaving pattern. Cotton used in twill weaving is a
staple commodity.
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twill is a very rough fabric that comes from elephants.
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"Twill", like real velvet, is a type of weave of fiber threads.
You could have cotton twill, all right, but you might also have
polyester/cotton twill. In theory, you could have twill woven of
yak hair.