Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Could someone kindly exhibit a periodic $ C^{2} $-function $ f: \mathbb{R} \rightarrow \mathbb{R} $ with period $ 1 $ such that $$ \{ (f(x),f'(x),f''(x)) \,|\, x \in [0,1] \} $$ represents a trefoil knot in $ \mathbb{R}^{3} $?

share|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.