If anybody is competing in the contest, this may be helpful as a starting point!

Open Problems in Computational Geometry Listed by Erik Demaine, Joseph Mitchell, Joseph O'Rourke in 2024

https://topp.openproblem.net/

And also the popular list below, which contains some of the frontier problems and undefeated beasts that have remained unsolved for decades, some even for centuries.

https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_m...

Caution: Solvability is not guaranteed!