There are three types of regular tessellations: triangles, squares, and hexagons.
There are three regular shapes that form regular tessellations: the equilateral triangle, the square, and the regular hexagon. For example, a regular hexagon is used in the pattern of a honeycomb, the honey bee’s nesting structure.
Examples of tessellations include: a tiled floor, a brick or log wall, a chess or checker board, and a fabric pattern. A tessellation is a tiling over a layer containing one or more figures so that the figures fill the layer with no overlaps or gaps.
Only three regular polygons (shapes where all sides and angles are equal) can form a tessellation on their own – triangles, squares and hexagons.
There are only three shapes that can form such regular tessellations: the equilateral triangle, the square, and the regular hexagon.
How do you know a character is tessellated? If the figure is the same on all sides, it will fit together when repeated. Figures that tessellate are usually regular polygons. Regular polygons have congruent even sides.
To name a tessellation, simply work your way around a vertex, counting the number of sides of the polygons that make up that vertex. The trick is to circle the vertex so that the smallest possible numbers appear first. That’s why we wouldn’t call our 3, 3, 3, 3, 6 tessellation 3, 3, 6, 3, 3!
First, there are only three regular tessellations, namely triangles, squares, and hexagons. To create a regular tessellation, the interior angle of the polygon must divide by 360. This is because the angles must add up to 360 so there are no gaps.
Definition of tessellate
verb transitive : to shape or decorate with mosaic.
Tessellations are both mathematics and art. I think because you need knowledge of math like rotation, translation, reflection, names of shapes and more to create a tessellation, but it also involves elements of art. Line, Shape, Color, Value, Form and Texture…
A pattern of shapes that fit together seamlessly is called tessellation. So squares form a tessellation (a rectangular grid), but circles don’t. Tessellations can also consist of more than one shape as long as they fit together seamlessly.
What regular polygons can be tessellated without gaps or overlaps? Equilateral triangles, squares, and regular hexagons are the only regular polygons that can be tessellated. Therefore there are only three regular tessellations.
circles or ovals cannot be tessellated. Not only do they have no corners, but you can clearly see that it’s impossible to put a series of circles together without a gap.
Tessellate all triangles. The picture works because all three corners (A, B, and C) of the triangle come together to form a 180° angle—a straight line. This property of triangles will be the basis of our study of polygon tessellations, so we state it here: The sum of the angles of a triangle is 180°.
Art, architecture, hobbies and many other areas contain examples of tessellations found in our everyday environment. Specific examples are oriental carpets, quilts, origami, Islamic architecture and the works of M.C. Escher. Oriental carpets contain tessellations indirectly.
Tiles used in tessellations can be used to measure distances. Once students know how long the sides of the different tiles are, they can use the information to measure distances. The tiles could be used to talk about scope.