I toyed with the idea of removing a few cubies from a 3x3x3 cube so that each of the 12 planes would include an octagonal face. Perhaps there is a simple argument as to why this wouldn't work.
-----Original Message----- From: math-fun [mailto:math-fun-bounces@mailman.xmission.com] On Behalf Of Ed Pegg Jr Sent: Thursday, August 02, 2018 3:25 PM To: math-fun Subject: Re: [math-fun] Simplest planar n-gon polyhedra
Conguent, no. Just planar.
On Thu, Aug 2, 2018 at 2:21 PM William R Somsky <wrsomsky@gmail.com> wrote:
Are you requiring that the polygons all be congruent?
On 2018-08-02 11:53, Ed Pegg Jr 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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