Semi-regular tessellations involve two or more regular polygons. In the regular case it shows that regular tessellations can be made only with equilateral triangles, squares and regular hexagons. The Problem Solving lesson Copycats, Geometry, Level 3 could also be used as part of the Exploring stage of this unitįitness, Level 4 follows on from this unit and looks at both regular and non-regular tessellations. You might use Measuring Angles, Level 3 for this purpose. Therefore, a necessary precursor to this unit is a lesson or series of lessons that give the class a sound knowledge of angles in degrees. Either the corners of the basic shape all fit together to make 360°, or the corners of some basic shapes fit together along the side of another to again make 360°. These tessellations provide a strong structure for their two different purposes.Ī key features of tessellations is that the vertices of the figure, or figures, must fit together, meaning that there are no gaps or overlaps in the pattern created, and that the pattern completely covers a given two-dimensional space. Bees use a basic hexagonal shape to manufacture their honeycombs (a tessellation of regular hexagons). Brick walls are made of the same shaped brick repeatedly laid in rows (a tessellation of rectangles). Tessellations have other, practical uses. They also demonstrate an application of some of the basic properties of polygons. Tessellations can be found in a variety of contexts, including in kitchen and bathroom on tiles, linoleum flooring, patterned carpets, parquet wooden floors, and in cultural patterns and artworks.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |