One of the most famous examples of this is the Islamic architecture. These quilts are very colorful and eye-catching.įinally, tessellations can also be found in architecture. Nevelson used a variety of shapes and colors to create tessellating patterns in her quilts. One of the most famous examples of this is the quiltwork of Louise Nevelson. This pattern is very strong and efficient, which is why it is used in the construction of beehives.Īnother common place to find tessellations is in art. The honeycomb is made up of hexagons that repeat to create a honeycomb-like pattern. The most famous example of this is the honeycomb. One of the most common places to find tessellations is in nature. Tessellations can be found in many different places, such as in nature, art, and architecture. This can be done by using different shapes, colors, or sizes. Tessellation is the process of creating a repeating pattern of shapes within a flat surface. When you are finished, the tessellation pattern should cover the entire plane. If you need to, you can add in extra squares to the grid to help you keep the shapes aligned. Be sure to make sure the shapes fit together perfectly, with no gaps or overlaps. Now you can start to fill in the squares on the grid with the shape you chose. The grid should be made up of squares or rectangles that are the same size as the shape you chose. Next, you need to draw a grid on the plane where you want the tessellation to appear. You can use any shape you like, but it is easiest to start with a simple shape like a square or a rectangle. The first step in creating a tessellation pattern is to choose a shape. Here's a nice article that may give some ideas that students could look into to understand the purpose of tessellations in our natural world. As for the honey bees an interesting thing to look into is why do honey bees use regular hexagons rather than other regular polygon that tessellates- it has to do with optimizing the amount of honey a regular hexagon stores. I'm still thinking about how to move forward on this though. I am thinking about how I could create certain parameters in which the students will have to fill a finite plane of some shape and they will have to make some sort of prediction. I feel something is missing in my project that requires them to take it further than just designing their own. Although it is true that tessellations can be found both in the natural world as well as in more synthetic (man-made) products/ art/architecture. I am stuck in how to make this project more authentic to the students though. This entails an understanding in transformations, interior angles of a polygon and I differentiated by creating different roles: some students had to design a mutated figure that would tessellate with an equilateral triangle, square, regular hexagon, irregular triangle, and irregular quadrilateral. I am an 11th Grade math teacher and I have done a larger project with my students in which they have to design their own tessellation using Geometer's Sketchpad. I agree with John Golden, in that you could extend the idea to have student think about the "so what". I really like the idea of using pattern blocks to work with semi-regular tessellations.
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