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No. It doesn't tessellate. (You cannot tile out an area with small decagons.)

The sum of the measures of the interior angles of a polygon

with n sides is (n-2)180°

So the sum of all the interior angles in a decagon add up to (8x180)= 1440°.

To find only ONE angle you need to divide 1440 by 10, yielding 144.

360 divided by 144 is 2.5, not an integral number.

This shows that a decagon doesn't tessellate.

In fact, only the regular (equilateral) triangle, the square, and the regular hexagon will tessellate.

For example:

The sum of all the interior angles in a triangle add up to 180. 180 divided by 3 is 60. 360 divided by 60 is 6 (an integral number). This shows that a triangle will tessellate. Try this method with a square (or hexagon) and you will see that it works (square 360/90=4 and hexagon 360/120=3).

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Q: Does a regular decagon tesselate

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Related questions

There are decagonal shapes which will tessellate the plane.

yes of course * * * * * A decagon does NOT tessellate. All triangles and quadrilaterals do, there are 14 tessellating pentagons and a number of hexagons (including regular hexagons). There are no tessellations which use polygons of the same shape - regular or irregular - for polygons with 7 or more sides.

No.

No, you cannot.

No, it cannot.

Yes, a regular hexagon does tessellate.

No

Yes. Can it tesselate R^3? Only if its base pentagon is non-regular.

Triangle, square, hexagon.

A regular decagon has 10 equal sides.

There are no right angles in a regular decagon. On a regular decagon, the angles are 144 degrees, where as right angles are ninty.

yes definitely you can tesselate a regular haxagon

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