true
If the octagon is a regular octagon (all eight sides and all eight angles are equal), then it is a regular polygon. If it is not a regular octagon (i.e. if it is an irregular octagon) then is it an irregular polygon.
"All of the polyiamonds of order eight or less, with the exception of one of the heptiamonds will tessellate the plane. The exception is the V-shaped heptiamond."Source: http://www.mathpuzzle.com/Tessel.htm
Parallelograms have only four sides. Polygons with eight sides are octagons.
Whether it is a regular or irregular octagon does not matter. An octagon is, by definition, a 2-dimensional figure with eight sides, and therefore with eight angles. A regular octagon will have eight equal angles and an irregular octagon will have eight angles some of which are not equal to the others.
True
true
No.
True
No, they will not fit together, you will also need a square with sides equal in length to the sides of the octagon.
True
Yes, it is true.
If the octagon is a regular octagon (all eight sides and all eight angles are equal), then it is a regular polygon. If it is not a regular octagon (i.e. if it is an irregular octagon) then is it an irregular polygon.
A regular octagon can tessellate the plane when combined with regular squares. By placing a square in the center of the octagon and surrounding it with eight octagons, the shapes can be repeated infinitely, filling the plane without gaps or overlaps
No
All eight sided polygons are known as "octagons". Octagons that have all side lengths the same are known as "regular octagons".
an interior angle of a regular octagon is 135 degrees since 360/135 is not an integer, a regular octagon cannot be tessellated. also, other octagons cannot be tessellated. the total interior angle sum of an octagon is 1080 degrees. however, 1080 cannot be written as a sum of eight numbers which can divide 360 and result as an integer (i.e. 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360) (of course you cannot form a polygon with an angle of 180 or 360 degrees) the only possible tessellations using polygons of the same kind are as follows: triangles, quadrilaterals ans hexagons.