Q: What shapes do not tessellate a plane?

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No not all shapes tessellate.

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

For any polygon, there will be other shapes such that, together, they can tessellate.

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

Yes it does tessellate. * * * * * That is simply not true. No polygon with 7 or more sides will tessellate with identical shapes.

Related questions

There are decagonal shapes which will tessellate the plane.

Squares, triangles,rectangles,hexagon,parrellagram

No not all shapes tessellate.

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

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.

For any polygon, there will be other shapes such that, together, they can tessellate.

Out of a hexagon, only a hexagon.If you have many hexagons, they can tessellate a plane, although the boundaries of this shape will be concave in parts.Out of a hexagon, only a hexagon.If you have many hexagons, they can tessellate a plane, although the boundaries of this shape will be concave in parts.Out of a hexagon, only a hexagon.If you have many hexagons, they can tessellate a plane, although the boundaries of this shape will be concave in parts.Out of a hexagon, only a hexagon.If you have many hexagons, they can tessellate a plane, although the boundaries of this shape will be concave in parts.

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? true or false

yes, most regular shapes can tessellate :)

Yes it does tessellate. * * * * * That is simply not true. No polygon with 7 or more sides will tessellate with identical shapes.

yess