# Proof of the existence of a special parametrization of the trefoil knot.

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 $\mathbb{R}^{3}$?

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