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Why can all triangles tessellate?

Updated: 4/28/2022
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11y ago

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because all triangles can be drawn with a compass

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Q: Why can all triangles tessellate?
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Continue Learning about Geometry

Are all types of triangles able to tessellate?

Yes, all triangles can be tessellated. To tessellate any triangle, take six instances of the triangle and arrange them such that they form a hexagon. This will be a repeatable pattern so being a tessellation


Can irregular polygons tessellate?

Some can, but not all. For example, rhombi, rhomboids, oblongs, and isosceles triangles can tessellate; however, most irregular polygons cannot. * * * * * True, but an incomplete answer. All triangles and quadrilaterals, whether regular or irregular, will tessellate. No regular pentagon will tessellate but (as of 2016), there are 15 irregular pentagons which will tessellate. There are 3 convex hexagons, (regular and 2 irregular) which will tessellate. No polygon with 7 or more sides, even if it is regular, will tessellate.


Why do shapes tessellate?

Shapes tessellate to fit around an interior angle. They also tessellate because they are regular polygons; non-regular polygons cannot tessellate. * * * * * Not correct. All triangles and quadrilaterals will tessellate, whether regular or irregular. Contrary to the above answer, a regular pentagon will not tessellate but there are 14 different irregular pentagons which will tessellate (the last was discovered in 2015). Three convex hexagons will do so as well. No polygon of 7 or more sides will tessellate - whether they are regular (contrary to the above answer) or irregular.


Can a regular octagon tessellate without overlaps or gaps?

No, there would be triangles in between. Sorry!


Do all shapes tessellate?

No not all shapes tessellate.

Related questions

Would a triangle be tessellate?

Yes all triangles will tessellate


Do triangle tessalate?

All triangles tessellate.


Can a scalene tesselate?

All triangles can tessellate.


What shapes can tessellate?

equilateral and isoceles triangles, squares, rectangles and hexagons. equilateral and isoceles triangles, squares, rectangles and hexagons. * * * * * ALL triangle and ALL quadrilaterals will tessellate. There are 15 pentagons as well as 3 convex hexagons which will tessellate. No polygon with 7 or more sides will tessellate.


Can a scalene triangle tesseslate?

Yes because all triangles will tessellate


Do triangles tessellate?

Yes.


Are all types of triangles able to tessellate?

Yes, all triangles can be tessellated. To tessellate any triangle, take six instances of the triangle and arrange them such that they form a hexagon. This will be a repeatable pattern so being a tessellation


Can irregular polygons tessellate?

Some can, but not all. For example, rhombi, rhomboids, oblongs, and isosceles triangles can tessellate; however, most irregular polygons cannot. * * * * * True, but an incomplete answer. All triangles and quadrilaterals, whether regular or irregular, will tessellate. No regular pentagon will tessellate but (as of 2016), there are 15 irregular pentagons which will tessellate. There are 3 convex hexagons, (regular and 2 irregular) which will tessellate. No polygon with 7 or more sides, even if it is regular, will tessellate.


What is one type of tessellation?

Triangles, squares, hexagons, and octagons all tessellate


What polygons were used to make the tessellation?

All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.


Can polygons be used by itself to make a tessellation?

All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.


What shape can be used to create a regular tessellation?

All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.