Study guides

☆☆

Q: Can regular pentagons tesselate by themselves?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

By themselves, only 3: triangle, square and hexagon. But there are combinations: eg octagon + square.

Not with regular pentagons because each interior angle is 108 degrees which is not a factor of 360 degrees

In general, a square. A square always has 4 lines of symmetry. A pentagon need not have any. Only a regular pentagon can have 5 lines of symmetry. But if you created pentagons from sides with random lengths then, assuming the pentagons existed, only a tiny fraction would be regular: most pentagons would have no axes of symmetry.

A truncated icosahedron. A soccer ball has 20 regular hexagons and 12 regular pentagons. See link for an image, and more information.

it can tessellate * * * * * NO IT CANNOT! A regular polygon can be used to create a regular tesselation if and only if its interior angle divides 360 degrees. The interior angle of a regular pentagon is 108 degrees, which does not divide 360 degrees so it cannot be used for a regular tesselation. . Three pentagons meeting at a point would cover 3*108 = 324 degrees - not enough to cover the 360 degrees at a point. Meanwhile 4 pentagons would cover 4*108 = 432 degrees - resulting in a 72 degree overlap.

Related questions

A regular pentagon cannot. Some irregular pentagons can.

pentagons do not tesselate because their sides are uneven. hoped i helped!! :D 2010

Triangles, squares and hexagons will tesselate with themselves. If you want to know why, calculate the angle measure for each of these shapes and you will see that each is a factor of 360. The same cannot be said for pentagons, heptagons, etc.

No it will not tesselate.

:L I Need Help With This Do Hexagons, Tesselate ?

Because the measure of each angle in a pentagon is 108 degrees, which 360 can't be divided evenly by, so pentagons don't tessellate because their is always a little extra space left over.

No.

Regular pentagons do not tessellate.

No.

No, it cannot.

No, you cannot.

"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

People also asked