The interior angle of the equilateral triangles and the interior angle of a square `90+90+60+60+60=360` so this pattern tessellates. 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. Show in the diagram how the builder will lay the floor. On the grid below draw 7 more quadrilateral tessellations.Ī bathroom floor needed to be tiled and the owners left two types of tiles. Part 2: Constructing Non-regular Tessellations Up to this point, you have made tessellations with regular polygons. Working together as a class, try creating as many semi-pure regular tessellations as possible. On the graph show this quadrilateral tessellating at least 5 times.Ĭlick on the image below to reveal the answer. a regular hexagon.) There are a finite number of semi-pure regular tessellations (actually less than ten).
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