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扭轉數（英語：twisting number）是拓撲學中的一個拓撲不變量。指帶狀結構的扭轉程度。取值為帶狀結構扭轉角的2π分之一。[1]。一般記作:。扭轉數和扭轉角是同一個拓撲量，區別是單位是圓周角而不是弧度。
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