Tessellation animal patterns12/17/2023 ĭecorative mosaic tilings made of small squared blocks called tesserae were widely employed in classical antiquity, sometimes displaying geometric patterns. Tessellations were used by the Sumerians (about 4000 BC) in building wall decorations formed by patterns of clay tiles. History A temple mosaic from the ancient Sumerian city of Uruk IV (3400–3100 BC), showing a tessellation pattern in coloured tiles Tessellations form a class of patterns in nature, for example in the arrays of hexagonal cells found in honeycombs. Tessellations are sometimes employed for decorative effect in quilting. Escher often made use of tessellations, both in ordinary Euclidean geometry and in hyperbolic geometry, for artistic effect. Historically, tessellations were used in Ancient Rome and in Islamic art such as in the Moroccan architecture and decorative geometric tiling of the Alhambra palace. Such tilings may be decorative patterns, or may have functions such as providing durable and water-resistant pavement, floor, or wall coverings. A tessellation of space, also known as a space filling or honeycomb, can be defined in the geometry of higher dimensions.Ī real physical tessellation is a tiling made of materials such as cemented ceramic squares or hexagons. An aperiodic tiling uses a small set of tile shapes that cannot form a repeating pattern (an aperiodic set of prototiles). A tiling that lacks a repeating pattern is called "non-periodic". The patterns formed by periodic tilings can be categorized into 17 wallpaper groups. Some special kinds include regular tilings with regular polygonal tiles all of the same shape, and semiregular tilings with regular tiles of more than one shape and with every corner identically arranged. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries.Ī periodic tiling has a repeating pattern. Using your star shape, position it atop the hexagon in order to create and trace three diamonds as shown below.An example of non‑periodicity due to another orientation of one tile out of an infinite number of identical tiles.Ī tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. ( See photo)Ĭontinue adding additional star shapes as shown. If you want to create hexagons between your stars, position your star so that one point of one star touches a point of a second star in a parallel manner. Carefully trace around star.Ĭontinue positioning and tracing additional star shapes as shown. If you want to create diamonds between your stars position your star so that two points of one star connect to two points of another. Position star to create a star-diamond tessellation.Place star on paper and carefully trace the outline. I recommend a heavy paper that is still easy to cut with precision. Since the first thing you need is a 6 pointed star, let's start with that shall we? (Note: this post contains affiliate links that may earn commission.) How to Make a 6 Pointed Star Read on for the full instructions to learn how to make a perfect six pointed star for star and hexagon or star and diamond tessellation drawings. Plus: these star tessellation ideas are surprisingly adaptable as holiday math art projects! Check out the final photos for holiday ideas.ĭon't miss our newest math art idea: adorable cat tessellations! Not to mention, repeating and rotating mathematical patterns is surprisingly relaxing.Īs I did with our heart tessellations project, I'll share multiple ways to tessellate with a single 6 pointed star shape. Add a little sparkle to your math art projects and STEAM education with star tessellation patterns using a six pointed star! Tessellations are an easy to learn art idea with enough variation possibilities to keep kids interested.
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