Q: Why were tesselations created?

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When polygons are set out on a plane they must not overlap and have no gaps

For regular polygons: 3, 4, or 6. For irregular polygons, figures with any number of sides can be found.

Yes. Consider the situation when: the right-angled triangles are also isosceles and the hypotenuse (longest side) of the triangles is equal to the side of the square. If you surround a square with four of right-angled triangles (the sides of the square being in contact with the hypotenuses of the triangles), you get a larger shape which is also a square. Taking this as a basic unit, you can make a tesselations. You can also make tessalations if you have two sets of squares, one with sides the same length of the hypotenuse of the triangles and one with sides the same length as the smaller sides of the triangles.

It was created by an Indian.

Fibonacci created the fraction

Related questions

No, carpenters would not use tesselations.

In 1619 tessellations was studied and discovered and in 1891 it was proven to be correct and accurate.

By the use of wording "uniform" you are in fact stating that the tesselations are "regular"

When polygons are set out on a plane they must not overlap and have no gaps

a shape(s) that when repeated completely cover a surface; ex. a tile floor

He found them interesting and fascinating. He enjoyed working with them and creating the interconnected patterns.

Tesselations can be used to design wallpaper etc. By using a computer, say with JAVA, designs can be very easily modified to see the final effect much more quickly. Using mathematics long-hand would take a very long time, but the mathematics are the foundations of any computer program.

M.C. Escher took a trip to Spain and was greatly influenced by the Alhambra Mosque there, with its many tesselations

turtles shell, pineapple, spider web, giraffe, and fish scales. honeycomb.

The interior angle of the polygon must divide 2*pi radians (360 degrees) exactly.

For regular polygons: 3, 4, or 6. For irregular polygons, figures with any number of sides can be found.

They are shapes or figures that can be put together to form a surface with no cracks in between and no overlapping. Squares, hexagons, and triangles are all examples of tesselations.