This activity promises an exciting blend of hands-on exploration, critical thinking, and geometry, fostering a deeper appreciation for the captivating world of tessellations. Students will be encouraged to predict whether 10, 11, and 12-sided shapes can tessellate to challenge their comprehension further. The movements or rigid motions of the shapes that define tessellations are classified as translations, rotations, reflections, or glide reflections. Through observation and analysis, they will endeavour to formulate a rule distinguishing which shapes can tessellate and which cannot. To deepen their understanding, students will create a table, plotting the interior angles of each shape against the corresponding polygon. Once comfortable with these basic shapes, students will be introduced to pentagons and heptagons, which, unlike the former, do not tessellate perfectly. The key requirement is that all individual shapes possess identical side lengths, allowing seamless interlocking. Students will be supplied with cut-outs of triangles, squares, and hexagons, allowing them to craft captivating, tessellated patterns. This lesson plan could be taught in maths or as part of graphics within design and technology. It will help students develop an understanding of the tessellation that will be required to design interlocking units. Zhou used tessellations to create a background pattern, and explained the process.This activity is designed for KS3 students and involves formulating a rule that can be used to create tessellation patterns. So be creative and try different things.”įrom Her Presentation: Ms. A tessellation is a an arrangement of shapes closely fi. But I ended up with a really different topic. This simple tutorial will show you how to make a tessellation starting with a square piece of paper. Like for math, at first I thought I needed to do a statistical research project, because that’s what people usually do who are math scholars. It would be really helpful if the student can expand their mind a little bit. Tip for Future Scholars: “I think Williston Scholars is a really great class for students to explore their interests. It was just a lot of rotations and resizing, so that was interesting.” At first I thought it was really hard to make a tessellation piece, but when I actually looked into it, it was simpler than I thought. Also, I found it interesting because it was actually easy to make one of my own. “When I first started, I looked at a lot of creative and unbelievably beautiful tessellations, and they were so good to look at. At first, I wanted to do three things-platonic solids, impossible constructions, and tessellations-but I realized it was going to be too much for a one-semester class. He had impossible constructions, polyhedrals, and other stuff. His work borders between realism and surrealism. Escher’s works, he reached into a lot of different fields. Escher (1898-1972), who made most of his images as lithographs and woodcuts. The inspirations were probably from the nature a honeycomb, for example, is a tessellation consisted of regular hexagons.”īiggest Challenge. “Trying to figure out what I actually wanted to do was the biggest challenge. Similar patterns and artistic elements existed in different cultures all over the world, such as the Arabic, Byzantine, Chinese, Egyptians, Greet, Japanese, Moors, Persians, and Romans. Tessellations were first found in the Sumerian Civilization at approximately 4000 B.C, where people used tessellation designs built from harden clay to construct and decorate the walls of temples and homes. Sitting in their desks, students will look around the classroom in search of tessellations. Notable Quote: “‘Tessellation,’ originating from the Latin world ‘tessella,’ refers to the division of a plane into repetitive patterns. Her project analyzed the various types of tessellations (repetitive patterns created with mathematical shapes), introduced the work of Escher, and featured tessellations of her own creation. Materials needed: square piece of paper (a small sticky note works well) scissors. Zhou explored how mathematics can be used to create intriguing works of art, as demonstrated by the tessellations of the renowned Dutch graphic artist M.C.
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