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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).

Q: Does a regular decagon tesselate

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yes definitely you can tesselate a regular haxagon

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.

There are decagonal shapes which will tessellate the plane.

No.

No, it cannot.

No, you cannot.

Yes, a regular hexagon does tessellate.

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

No

Triangle, square, hexagon.

A regular decagon has 10 equal sides.

Oh, dude, a decagon has 10 sides, right? So, each angle in a regular decagon measures 144 degrees. Now, a right angle is 90 degrees, so technically, there are zero right angles in a decagon. But hey, who's counting, right?