[math-fun] Simplest planar n-gon polyhedra

At https://math.stackexchange.com/questions/2869725/ I've started a sequence. What is the fewest number of planar but possibly irregular n-gons needed to make a polyhedron or toroid? 4 triangles 6 squares 12 pentagons 7 hexagons 12 heptagons Correct so far? How many octagons are needed? Ed Pegg Jr