No.
No, it is not possible.
no
It can be used only if the measure of its interior angle is a factor of 360 degrees.
It is extremely difficult to explain how since it is, in fact, impossible!
A regular pentagon is one example.
Yes it can
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.
The only regular polygons are those with 3, 4 or 6 sides.
A regular polygon will tessellate if its interior angle divides 360 evenly.
No, it cannot. I was doing my own tessellation project when I came across this question. In order for a polygon to tessellate, the sum of the angles surrounding one point must be 360 degrees (think of it this way, if you spin in a circle, you spin 360 degrees.) So, if a heptagon has a total angle measure of 900, each andgle is approx. 128.57 degrees. 128.57 cannot fit evenly into 360. Hence, a heptagon whose total angle measure is 900 cannot be used by itself to tessellate.
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
A regular hexagon can be carried onto itself by rotations of 60 degrees, 120 degrees, 180 degrees, 240 degrees, and 300 degrees around its center. These rotations correspond to the multiples of 60 degrees, which are the angles formed by the vertices of the hexagon. Additionally, a 0-degree rotation (no rotation) also carries the hexagon onto itself.