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Consider the curve

$$\gamma:\quad \phi\ \mapsto\ \exp{-1\over Bigl(1+\exp{-1\over \pi^2 -\phi^2}\ \phi^2}\Bigr)\ (\cos\phi,\sin\phi)\qquad(-\pi< \phi< \pi)$$

with filled-in point $(-1,0)$.

1

Consider the curve

$$\gamma:\quad \phi\ \mapsto\ \exp{-1\over \pi^2 -\phi^2}\ (\cos\phi,\sin\phi)\qquad(-\pi< \phi< \pi)$$

with filled-in point $(-1,0)$.