![]() ![]() In the above video you can see how easy it is to create a tessellation with these types of regular polygons. Did you know that you cannot create a tessellation with regular pentagons? Or with regular octagons? As a matter of fact there are only three types of regular polygons that can be used to make regular tessellations. Tessellations Around the World contains nearly 100 photographs of tessellations found in nature and in synthetic objects. The equilateral triangle, the square, the regular pentagon are all examples of regular polygons. A Tessellation is an example of a repeating pattern where shapes fit together in a way that leaves no space in between. Regular polygons have all sides and all angles congruent. This type of tessellation can not be achieved with any type of polygons. This piece uses an 18×18 grid but since each molecule is 4×4, a 16×16 grid works as well, though you get a straight edge instead of the overhanging rhombi. The triangle tessellation, shown in Figure 10.130 has six triangles meeting the vertex. If you want to cover the plane with regular congruent polygons, you are trying to create a regular tessellation. A single molecule of Variant 1 of my Two-in-One Flower Tessellation together with a frame, folded from a single sheet of Satogami paper (16×16 grid). The hexagon tessellation, shown in Figure 10.129 has six sides to the shape and three hexagons meet at the vertex. Let's talk a little about the math in tessellations. tessellations, and ultimately to invite the reader to take the plunge and create a stand-alone tangible thing: an artwork, a tessellation, a visual pattern that can be appreciated by anyone, irrespective of formal training. The tiles in the kitchen and the puzzle you have solved are nothing but tessellations. This paper will start with a background on tessellations and where they are seen in real life. Cut out the shapes along the lines you drew. Next, scribble another random line from top to bottom, on the paper. On the paper, scribble a random line from left to right. I'm sure that you have already seen many tessellations in real life. Write the letters of the word PART on each of the four corners of a small square piece of paper as shown below. A tessellation is a collection of figures that can be put together to fill a plane surface without overlaps or gaps. Examples range from nature, such as honey combs, to man-made objects, like architecture and quilts. ![]() Not all polygons are tessellation shapes. There are many tessellations that exist in everyday life. ![]()
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