$$\gamma(t)= t^2 + i\, t^4 , \quad t\in [ -1, 1]$$
What is the geometric explanation of the image of the above contour? Intuitively , I think it's ellipsoid-like, but I don't know how to put it in a formal way.
2026-03-28 08:49:24.1774687764
Geometric explanation of a contour's image
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Note that $x=t^2$ and $y=t^4 = (t^2)^2 = x^2$.