This is the fundamental, or primary, cell. Parallelograms will all tessellate. You can see that every part needed to make up the full foxes picture is contained in the parallelogram. All you need to do is to repeat them and you get the full tessellation. By joining similar points in a tessellation, it should usually be possible to work out the fundamental cell. In 2 motif tessellations it will contain both of them!
http://www.tessellations.org/diy-basic1.htm
Yes.
Yes
Yes
A square, rectangle, rhombus, parallelogram, trapezium, kite and arrowhead will tessellate. Other quadrilaterals will not.
Yes, a parallelogram and an isosceles triangle can tessellate together. This is possible because the angles of the parallelogram can be matched with the angles of the isosceles triangle in a way that allows the shapes to fit together without any gaps. By carefully arranging the triangles and parallelograms, they can cover a plane completely, demonstrating their compatibility in tessellation.
Yes under certain dimensional conditions.
Yes. Any triangle will tessellate.
Yes, any type of triangle or quadrilateral will tessellate.
For any polygon, there will be other shapes such that, together, they can tessellate.
No circles can't tessellate because tessellate means fits together without any gaps and overlaping. I hope this helps =]
Any polygon with external angles which are equal to a factor of 360 will tessellate. The only regular polygons which will tessellate are equilateral triangles, squares, and hexagons.
BECAUSE thats why!