Andrew Weimholt discussed related questions at Quora: Does-a-polyhedron-exist-in-which-all-faces-are-octagons <https://www.quora.com/Does-a-polyhedron-exist-in-which-all-faces-are-octagons> How-many-faces-would-a-polytope-consisting-of-octagonal-faces-have-if-only-three-faces-meet-at-each-vertex-Does-it-have-a-name <https://www.quora.com/How-many-faces-would-a-polytope-consisting-of-octagonal-faces-have-if-only-three-faces-meet-at-each-vertex-Does-it-have-a-name> On Thu, Aug 2, 2018 at 2:53 PM, Ed Pegg Jr <ed@mathpuzzle.com> wrote:
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?
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