Examples of tessellations3/6/2024 ![]() ![]() Here are a variety of basic geometric shapes that can tessellate from this same pattern, including a hexagon, triangle, square, trapezoid, parallelogram, pentagon (irregular), rhombus (diamond), and rectangle:Ĭopyright © 2014 Chris McMullen, author of the Improve Your Math Fluency series of math workbooksĬlick to view my Goodreads author page. ![]() Selective generation of such structures requires large molecular building blocks which mostly are not compatible with the conventional manufacturing processes. The same pattern can make a tessellation with stars and hexagons: Materials with tessellations can, for example, be characterized by an outstanding electrical conductivity, a special light reflection, or an extreme mechanical strength. The lattice structure below can be shaded in several different ways to create simple geometric patterns that tessellate:įor example, here is a tessellation composed of hexagons: Some of the more extreme examples of this can be seen in M.C. Discover different possible shapes they can make. Calculate the perimeter of the tessellation tiles or shapes. Even arrangements of curved objects can tessellate. Here are a few examples of tessellations used for math exercises: Measure the distance by establishing the length of the sides of the tiles, individual tiles, or the entire design. There are many other shapes that tessellate, such as stars combined with other shapes. (Quadrilaterals are polygons with four sides.) Although regular pentagons don’t tessellate, some irregular polygons can (such as the pentagon made by placing an isosceles triangles on a square, as children often do to draw a simple picture of a house). (A regular polygon is one with equal sides and angles.) All quadrilaterals can form tessellations. Tessellations can also be made from irregular polygons. For example, it won’t work with pentagons. Not any regular polygon will work, however. Simple tessellations can be made by creating a two-dimensional lattice out of regular geometric shapes, like equilateral triangles, squares, and hexagons. A tessellation is a repeated two-dimensional geometric pattern, with tiles arranged together without any space or overlap.
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