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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

Q: Does any parallelogram tessellate

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Yes.

Yes

Yes

A square, rectangle, rhombus, parallelogram, trapezium, kite and arrowhead will tessellate. Other quadrilaterals will not.

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!

A parallelogram has 2 pairs of opposite parallel sides It has 4 interior angles that add up to 360 degrees It has 2 diagonals Its perimeter is the sum of its 4 sides It will tessellate Its area is base times perpendicular height