3 problems

Double-heptagon connection-point conjecture. The point $P$ is a connection point if and only if $N$ is even and $[\overline{x}:\overline{y}]$ belongs to the orbit of…

Non-periodic connection-point conjecture. For $n\geq 9$ odd, there are no non-periodic connection points on the double regular $n$-gon.

Heptagon connection-point conjecture. There exist non-periodic connection points on the double regular heptagon.