Independent learning - Students will be discovering tessellation patterns. The interior angle of the equilateral triangles and the interior angle of a square `90+90+60+60+60=360` so this pattern tessellates. In addition, we have exposed the students to tessellations in the environment. ![]() Here is a tessellating pattern made from equilateral triangles and squares.Įxplain why equilateral triangles and squares can form a pattern that tessellates.įor a group of shapes to tessellate the interior angles of the shapes around the common vertex must add up to this example the common vertex is at the centre of 2 red equilateral triangles, 2 yellow squares and one blue equilateral triangle. ![]() As the interior angles of an equilateral is a whole number so equilateral triangles will tessellate. Here is a tessellating pattern made from equilateral triangles.Ī) Write down the size of each interior angle in the equilateral triangle.ī) Explain why equilateral triangles tessellate.Ī) Interior angles of a an equilateral triangle has equal length sides all interior angles are equal, so each interior The interior angle of a shape which meets the common vertex must divide into 360 to produce a whole number (integer) in order for it to tessellate. Examples: Rectangles Octagons and Squares Different Pentagons Regular Tessellations A regular tessellation is a pattern made by repeating a regular polygon. Semi-Regular TessellationA When two or three types of polygons share a common vertex, a semi-regular tessellation is formed. There are three types of regular tessellations: triangles, squares and hexagons. Show in the diagram how the builder will lay the floor. A pattern of shapes that fit perfectly together A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that there are no overlaps or gaps. Regular tessellations are tile patterns made up of one single shape placed in some kind of pattern. Geometric diagonal modern background, corner design. For a group of shapes to tessellate the interior angles of the shapes around the common vertex must add up to 360 360. ![]() On the grid below draw 7 more quadrilateral tessellations.Ī bathroom floor needed to be tiled and the owners left two types of tiles. Browse 175 3d tessellation stock illustrations and vector graphics available royalty-free, or start a new search to explore more great stock images and vector art. On the graph show this quadrilateral tessellating at least 5 times.Ĭlick on the image below to reveal the answer.
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