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What shapes do not tessellate a plane?

Updated: 4/28/2022
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14y ago

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circles and octagon do not tessellate as they overlap each other or leave spaces between them.

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14y ago
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Q: What shapes do not tessellate a plane?
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Can you tesselate a decagon?

There are decagonal shapes which will tessellate the plane.


What shapes tessellate a plane?

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Do all shapes tessellate?

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Certain arrow shapes will tessellate the plane. See the related links for some images or google: Arrow Tessellation Images


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A plane can be tessellated by triangles, various quadrilaterals, 15 types of convex pentagons (latest discovered in 2015) and various hexagons. No convex polynomial with 7 or more sides will tessellate.


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What shapes don't tessellate?

I believe that regular shapes will only tessellate if the sum of their internal angles is a multiple of 180.


Every quadrilateral will tessellate the plane?

every quadrilateral will tessellate the plane? true or false


Can a regular nonogon tessellate?

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Can 2 shapes tessellate?

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Does a dodecagon tessellate?

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