What is the tesellation?

Tselation is a tiled pattern created by repetition of the shape over and over again, without overlapping or gaps. A classic example of tesselation is the tile in which the floor is covered with square tiles. In addition to architecture, Tesselations appear in many works of art and are also a mathematical interest. These patterns appear in different environments, and once people start looking for tessels, they tend to see them everywhere, including nature. They can be used for a paved flat plane or sculptural surface. In all cases, the tessels can be theoretically repeated infinitely, with the formula remaining consistent and retaining their positions in relation to each other. Some shapes will not be Tessellate, or there is no infinitely beaten gap. Only equilateral triangles, squares and hexagons can be used for regular tesellation. Polygular or non -periodic versions have two or more shapes. The art of M. C. Escher often involves non -periodic tessels as a stylistic element, sometimes with very complex TVary such as blocking animals. This type of tesselation is also used in geometry and other classes of mathematics to introduce students with a number of concepts.

Mathematical background of tesselation can explain why it is such a popular design element. Many recurring topics in works of art can be described mathematically, suggesting that there is a universal attraction in mathematically bounded and described concepts. From paved streets of Paris to comprehensive tessels of Islamic art, Tessellion can be seen everywhere, in different levels of complexity. Like art, mathematics can be a universal language that anyone can understand, and it is interesting to watch common features in radically different styles of works of art that can be associated with mathematical concepts.

Explioration of tesselation can help children learn about shapes and basic mathematics and these formulas can make for studentsIT interesting, fun or engaging projects. Students can play with ideas such as see how many colors they need to touch the shapes of the same color, and can also experiment with visual illusions created with specific shapes and colors in tessellation.