Equivalence of symmetry-based extension and analytic continuation for non-reflection symmetry groups
Determine whether extension by symmetry and extension by analytic continuation coincide for wallpaper groups beyond reflection groups, thereby ensuring that algorithmic hyperbolizations for groups such as 2222 and bigcirc are conformal.
References
We strongly conjecture that this is also the case for other symmetry groups. If our conjecture holds, these hyperbolizations will automatically be conformal.
— The Smooth Power of the "Neandertal Method"
(Montag et al., 10 Jul 2025) in Subsection '2222 and 0' (Section 'The Lower Symmetry Groups')