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There are decagons which will tessellate.

yes it can

No.

Q: Can a decagon tessellate

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There are decagons which will tessellate.

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 shape with 7 or more sides will tessellate with multiple copies of itself. All traigles and quadrilaterals will tessellate, there are 14 irregular pentagons (the last was discovered in 2016), and a number of hexagons - including the regular hexagon.

Yes. For example if you have a decagon in which the top, bottom and the four sides on the left are as in a regular decagon, and if the four sides on the right make the shape concave. These decagons will "slot" into one another.

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).

A square can tessellate but a regular pentagon can't tessellate

No cones can not tessellate.

A square will tessellate leaving no gaps or overlaps but a circle does not tessellate.

Yes * * * * * No. A star will not tessellate.

yes... this figure does tessellate

No, it can't be tessellate.