New posts in Plane Curves

Prove that a parametric curve does not intersect itself

If $\gamma\colon[a,b]\to\mathbb{C}$ is continuous and $\gamma(b)=-\gamma(a)$, must the curves $\gamma$ and $e^{ic}\gamma$ intersect for all real $c$?

Prove that this class of curves has constant speed and curvature

Brachistochrone problem with floor restriction

How fast can one move around an ellipse with bounded acceleration?

Is the complement of an injective continuous map $\mathbb{R}\to \mathbb{R}^2$ with closed image necessarily disconnected?

How many non-infinite plane curves with infinite reflectional symmetry?

Holomorphic 1-forms on a smooth affine plane curve

Is simple closed curve homeomorphic to a circle?

What is the Hilbert curve's equation?!