Materials Needed: Cardstock, scissors, coloured pencils, transparent tape. Here’s a step-by-step guide on how to make a tessellation: How to Make a TessellationĬrafting tessellations can be a delightful activity for kids. Irregular Tessellations: Not relying on regular polygons, these tessellations might seem chaotic, but the shapes still interlock perfectly, akin to a jigsaw puzzle. The polygons fit together just as snugly as in regular tessellations. Semi-Regular Tessellations: Here, two or more types of regular polygons come together to tessellate. Regular Tessellations: These involve only one type of regular polygon, like hexagons in a honeycomb or equilateral triangles fitting together. Tessellations can be categorised based on the shapes involved: Having read about the various shapes, you must be wondering about the various types of tessellations. But with some creativity, a combination or alteration of different shapes can lead to new tessellating patterns. Regardless of their placement, there will always be void spaces between them. Circles, for example, can’t tessellate independently. However, it’s worth noting that not every shape can tessellate on its own. Rectangles: Often used in flooring, rectangular tiles, even though they seem like stretched squares, can tessellate effectively. Hexagons: The design of a honeycomb is a testament to the tessellation capabilities of hexagons. When you position six such triangles, they converge at a point seamlessly. Squares: A classic example is a chessboard where squares fit together without any gaps.Įquilateral Triangles: Triangles that have equal sides and angles. Basic shapes that naturally tessellate include: Understanding which shapes can tessellate is crucial. In mathematics, tessellations provide insights into spatial arrangements and geometric patterns. Historically, tessellations have been utilised in various cultures for decorative purposes in architecture, ceramics, and textiles. This seamless fitting of shapes embodies the principle of tessellation. Even though every piece of the puzzle is distinct, when put together, they fit seamlessly, leaving no empty spaces. To visualise this, think about a jigsaw puzzle. It refers to a collection of shapes that interlock and fit together without any gaps or overlaps. Tessellation is an intricate and fascinating concept in both art and mathematics. So, what is tessellation? Let’s dive in and explore, making the complex simple for our little ones! What is tessellation? These patterns, where shapes fit snugly with no overlaps or gaps, are examples of tessellations. We often marvel at the significance of mathematical patterns in nature: the hexagonal chambers in a honeycomb, the fascinating layout of tiles in our bathroom, or the captivating design of a pinecone.
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