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The paper in these tessellations is folded into an odd. Classic tessellations are usually based on either a square or hexagonal grid.

There are 2 major types of tessellations, the classic type and corrugations. The interior angle of the equilateral triangles and the interior angle of a square `90+90+60+60+60=360` so this pattern tessellates. Origami tessellations are essentially patterns, folded with origami, that repeat themselves as long as you want to continue folding. 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. Regular Tessellations The regular tessellation only has one repeating polygon. The factsheet Regular shapes and tessellations explains that equilateral triangles, squares and regular hexagons can tessellate. Tessellation Geometric Shapes And Patterns, Adult Coloring Pages, 25 Printable Coloring Sheets - Book 6.

On the graph show this quadrilateral tessellating at least 5 times.Ĭlick on the image below to reveal the answer. Tessellation patterns can also be named by what kind of symmetry they have, as is the case with wallpaper designs. Origami tessellations are essentially patterns, folded with origami, that repeat themselves as long as you want to continue folding.