Can a regular heptagon tessellate a plane with no overlaps or gaps
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Can a regular heptagon tessellate a plane with no overlaps or gaps

[From: ] [author: ] [Date: 13-05-28] [Hit: ]
unsurprisingly, a square.Go beyond that, say, a regular pentagon, and youll have gaps - that you could probably fill in with smaller pentagons,......
I say No,but i want to be sure.

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No. The largest regular polygon that you can use to tessellate a plane is, unsurprisingly, a square.Go beyond that, say, a regular pentagon, and you'll have gaps - that you could probably fill in with smaller pentagons, but you'd still have gaps. I know there's a more mathematical answer to this question - having to do with the internal angles of the polygon, etc. But I'd rather not stray from what I know and I'll leave it at that.
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