What if we classified hexagons instead of quadrilaterals? Start with this. Choose one of these hexagons that seems special and identify its properties. Name it. Bob, for example. Repeat for another one. Stacy, for example. Questions: Is there such a thing as a concave hexagon that is not a Bob? Is there a concave Bob? Can Bob be a Stacy? Create the hierarchy of hexagons.
A 32-gon, or triacontadigon (or triacontakaidigon) is a thirty-two-sided polygon. The sum of any triacontadigon's interior angles is 5400 degrees. An older name is tricontadoagon. Regular 32-gons have interior angles measuring 5400/32 = 168.75 degrees. -- https://electrek.co/2017/05/02/tesla-gigafactory-new-section-nevada/ The gigafactory is currently a concave hexagon but aspires to be a equiangular convex octagon when fully built out.