5 problems

Let $Z_j$ be the singular points after the rotation used for the parameter line $\theta=\frac{(2j-1)\pi}{k-1}$, and let $s\in(0,1)$. The periodgon is studied through the periodic d…

Let $k$ be the parameter in the vector-field family, let $s\in(0,1)$, and let $\theta$ be the angular parameter. The periodgon records the arrangement of the sides associated with…

Let $k\geq 2$ and consider the family of vector fields … A single open set with slits should be sufficient to describe this family using the periodgon description, whereas two open…

Let the ad hoc periodgon be the polygon constructed from the eigenvalue-period edges of the vector field family. The non-convexity-region conjecture states that the only region in…

Let the ad hoc periodgon be the polygon formed from the periodgon edges in the specified clockwise order, for parameters in the interior of the slit disk. The ad hoc periodgon no-s…