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What shapes do not tessellate?

Updated: 4/28/2022
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Wiki User

12y ago

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Shapes such as circles, regular pentagons, and heptagons.
Most regular polygons will not tessellate on their own. Only triangles, squares and hexagons will.

With irregular polygons there is more of a choice. All isosceles or scalene triangles, parallelograms, trapeziums and kites will tessellate as will some higher order polygons.

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12y ago
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alicetsetsana002

Lvl 2
2y ago

regular pentagon

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Q: What shapes do not tessellate?
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Continue Learning about Calculus

How can you tell if a regular shape will tessellate?

It will tessellate if its vertices divide into 360 degrees evenly. The only regular polygons that will tessellate are an equilateral triangle, a square and a regular hexagon. There are other, non-regular, polygons that will tessellate.


Does a kite tessellate?

Yes like all 4 sided quadrilaterals a kite will tessellate.


Can regular pentagon tessellate by themselves?

"yes"The answer above is incorrect. it was proven hundreds of years ago that regular pentagons do NOT tessellate. there are methods for tessellating pentagons, but they are not regularpentagons.yes the answer in the middle is write polygons can not tessellate


Why do only some shapes tessellate?

tessellations are designs that are based on a shape that regularly tiles smoothly, such as squares or hexagons. Geometrically, this guarantees that all the space is accounted for, and that the shapes should fit together ( though not necessarily smoothly). If you take a square or hexagon (or any other regular shape that fits together by itself) and cut out parts of it using scissors, then attach the cut out parts on the opposite edge of the square from which they were removed, you should end up with a working tessellation.


Do all quadrilaterals tessellate?

Except a kite! * * * * * Wrong! All quadrilaterals will tessellate. Flip a kite over and fit it to another kite with their long sides lined up. Continue with the alternating up-down-up-down ,,, pattern. The orientation of kites for the rows above and below will become apparent.