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. The same pattern can make a tessellation with stars and hexagons: 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. Even arrangements of curved objects can tessellate. 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.
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