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11y ago

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Which regular polygon will not tessellate by itself?

A regular pentagon


Can a regular octagon be used by itself to make a tessellation?

No Internat angle of a regular octagon is 135°. No multiple of 135° will make 360°. Thus at any point there can be at most two octagons and a 90° gap. Ratty


Is a school desk a regular polygon?

The desk itself is not a polygon since it is a three-dimensional object, but a polygon is a two-dimensional object. Perhaps you are asking whether the top of the desk is shaped like a regular polygon. Most school desks have rounded corners (to reduce injuries) and thus would not be regular polygons. Some also have ridges and other irregularities for pencils and the like. And most are probably a little wider than they are long. But I'm sure there are some school desks somewhere whose tops are shaped like regular polygons. You'll have to examine the desks that your school uses and compare them to the definition of a regular polygon in your math book.


What is an area of a polygon?

area of a polygon is the amount of area inside the polygon. A square is a polygon and its area is the side length squared, ie times itself. Some polygons are harder to find the area of.


Will a regular isosceles triangle tessellate?

No, a regular isosceles triangle will not tessellate. In order for a shape to tessellate, it must be able to fit together with copies of itself without any gaps or overlaps. Regular isosceles triangles have angles of 90, 45, and 45 degrees, which do not allow for a repeating pattern that covers a plane without any spaces. Regular polygons that tessellate include equilateral triangles, squares, and hexagons.

Related Questions

Can a regular polygon with an angle measure of 160 degrees be used by itself to make a tessellation?

No, it is not possible.


How do you know when a regular polygon can be used by itself to make a tessellation?

It can be used only if the measure of its interior angle is a factor of 360 degrees.


Explain how a regular polygon with an angle measure of 135 degrees be used by itself to make a tessellation?

It is extremely difficult to explain how since it is, in fact, impossible!


How do you know when a regula polygon can be used my itself to make a tessellation?

A regular polygon will tessellate if its interior angle divides 360 evenly.


Which regular polygon can be used by itself to make a tessellation?

The only regular polygons are those with 3, 4 or 6 sides.


Can a regular hexagon be used by itself to make a tessellation?

no


Can a regular nonagon 1260 degrees be used by itself to make a tessellation?

No.


Can a regular polygon with an angle measure of 135 degrees be used by itself to make a tesselation?

Yes. :] Yes. :]


Which regular polygon will not tessellate by itself?

A regular pentagon


What shape cannot be used by itself to form a tessellation?

A regular pentagon is one example.


Can a regular quadrilateral be used by itself to make a tessellation?

Tessellation is defined as the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions. A periodic tiling has a repeat pattern. A regular quadrilateral can be used by itself to make a tessellation.


Can a regular polygon with an angle measure of 140 degrees be used by itself to make a tessellation?

In order to make a tessellation, many versions of the shape need to be able to be slotted together without any space between them. This means that, at the points where the corners meet, the angles should add up to 360. In the case of squares, the angles are 90, and four of these make 360, so squares can tessellate. If a polygon has an angle measure of 140 degrees, then no amount of these angles can add up to 360, as 140 isn't a factor of 360. Thus the shape would be unable to tessellate in the strict mathematical sense.