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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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Can a decagon tessellate?
yes definitely you can tesselate a regular haxagon
Does a decagon tesselate?
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.
Can you tesselate a decagon?
There are decagonal shapes which will tessellate the plane.
Can a regular heptagon tesselate itself?
No.
Can you tesselate a regular octagon?
No, you cannot.
Can a regular heptagon tesselate?
No, it cannot.
Does a regular hexagon tesselate?
Yes, a regular hexagon does tessellate.
Does a regular 20 sided polygon tesselate?
No
Can a pentagonal prism tesselate?
Yes. Can it tesselate R^3? Only if its base pentagon is non-regular.
Which regular polygons will tesselate?
Triangle, square, hexagon.
How many conguent sides does a regular decagon have?
A regular decagon has 10 equal sides.
Is a rectangle a regular tesselate?
Yes a rectangle will tessellate with no gaps or overlaps
