What is a tessellation?
Solution
A tessellation is a pattern of shapes that fit perfectly together without any gaps or overlaps. The shapes used in a tessellation can be simple, like a square or a triangle, or more complex, like a combination of different shapes. Tessellations can be seen in many areas of life, from art and architecture to nature and science.
Here are the steps to understand what a tessellation is:
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Understand the basic concept: A tessellation is essentially a way to tile a floor (that goes on indefinitely) with shapes in a way that there are no overlaps and no gaps.
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Know the shapes that can tessellate: Regular polygons that can tessellate by themselves are equilateral triangles, squares, and regular hexagons.
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Understand semi-regular tessellations: These are tessellations formed by two or more different types of regular polygons. The polygons must be arranged in the same order at each vertex.
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Look for tessellations in the real world: Tessellations can be found in nature (honeycomb), art (M.C. Escher's work), and architecture (brick walls).
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Try creating your own tessellation: Start with a simple shape, like a square or triangle, and see if you can create a pattern where the shapes fit together without any gaps or overlaps.
Similar Questions
A tessellation is an arrangement of repeating shapes that have what characteristic?A.Its pieces always consist of regular shapes.B.Its pieces lie on top of each other to generate beautiful artwork.C.Any spaces or overlaps are small and randomly shaped.D.No spaces or overlaps exist between its pieces.
Which of the following is NOT one of the ways that a tessellation can repeat?
A tessellation could be created using parallelograms like the one shown below.A.TrueB.False
Tessellations have been used by various cultures in decorating what familiar objects?A.BuildingsB.ClothingC.ManuscriptsD.All of the aboveSUBMITarrow_backPREVIOUS
A semi-regular tesselation may have:A.three types of shapesB.gaps between shapesC.overlapping shapesD.only one type of shape
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