Let us know how you felt also by "reacting" and commenting below. I hope this was a worthwhile blog post to read. How do you think tessellations can become an important part of life? I hope you learned some information today, but I wanna ask you this. Since these are regular hexagons, each interior angle of each hexagon are 120 degrees, and all the angles in one of the hexagons equal 720 degrees. It uses regular hexagons to form this natural mosaic around the surface area of the hive. Pentagons have a total angle measure of 540 degrees, hexagons have a total measure of 720 degrees, and quadrilaterals have a total angle measure of 360.įinally, A honeycomb is a perfect example of a natural tessellation. In this shell, we see 3 irregular hexagons surrounded by pentagons, also surrounded by many quadrilaterals. Some of the other gems can also be transformed into hexagonal shapes Hence, one can easily observe the hexagonal shape while visiting a jewellery shop.A turtle shell shows a special tessellation (at least for Kristian) since they use multiple, different shapes, instead of seeing the same shape over and over again. The crystals of gems and minerals like algodonite, apatite, aquamarine, benitoite, etc., are hexagonal in shape. Hence, the hexagon geometric shape finds its application in communication engineering.įood industries also make use of hexagon shape to manufacture a number of products such as cookies, biscuits, chocolates, etc. The adequate placing of the tower is necessary so that the signal gets radiated evenly in all directions. The hexagon shape of the cells helps the engineers locate the best position to place the tower. While designing the GSM distribution of a city or a state, the locality is divided in the shape of hexagons. Also, if you observe the dial of some of the wristwatches you can easily get a picture of the hexagon geometric figure. Some of the clocks are shaped like a hexagon. Medals are manufactured in a variety of shapes and sizes out of which the hexagonal shape is most common. They are given as an award or a token of appreciation. Medals are small pieces of metals that consist of markings on both sides. Hence, one of the prime examples of the hexagon geometric figure can be observed by looking at the lighter sections of a soccer ball. This improves driving quality and safety.Ī soccer ball or a football is made up of a number of the pentagon and hexagon-shaped sections aligned one next to the other. The drivers facing the back of the sign get alert due to the familiar shape of the stop signs. These signboards possess a geometric shape that is easy to differentiate from the other signboards. The stop signs installed on the roadside are usually constructed in the shape of a regular hexagon or an octagon. The base of a pencil is yet another example of hexagon-shaped objects used in real life however, there are other shapes in which a pencil can be manufactured such as triangular, rectangular, etc. However, you can also use mixed shapes to create tessellating patterns, such as. Semi-Regular Tessellation Semi regular tessellations use two or more regular polygons to create new. For instance, a tessellated pattern can be created with triangles as in the picture above. Examples of regular tessellations with regular polygons can be found in figures 3, 4, and 5. Tessellated shapes are 2D shapes which fit exactly together, through the shapes do not have to be the same. If you look closely at a properly tied knot of a tie, you can easily visualize the hexagonal geometric figure because a tie knot typically consists of six sides, six vertices, and six angles. In Maths, tessellation is an important part of the 2D Shapes topic. Hence, it is one of the best examples of the hexagonal objects present around us. A snowflake consists of six sides and six-fold symmetry. If you look at a nut closely, you can observe the hexagonal shape formed by its sides.Ī snowflake is a hexagonal crystalline form of ice. Nuts are the mechanical tools used in combination with bolts and washer to fasten two metallic pieces together. The six sides, six vertices, and six angles of each cell of a honeycomb make it a perfect example of a hexagon. One of the most common and naturally occurring examples of a hexagon is a honeycomb. Such a formation is known as tessellations. Regular hexagons of equal magnitude can fit with each other without any gaps. A regular hexagon can be split into 6 equilateral triangles that are congruent in nature.Ĥ. The sum of all the interior angles of a regular hexagon is equal to 720°.ģ. Irregular HexagonĪ hexagon that does not consist of equal length sides is known as an irregular hexagon. A hexagon is said to be regular if all of its sides are equal in length.
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