www numeracysoftware com Tessellation www numeracysoftware com Tessellation

www. numeracysoftware. com Tessellation

www. numeracysoftware. com Tessellation • If many copies of a shape can be used to cover a surface, without leaving any gaps between them, then we say that the shape will tessellate. • The pattern that is formed is called a tessellation.

www. numeracysoftware. com Tessellations all around us Look for tessellations in walls, patios and pavements.

www. numeracysoftware. com Tessellations all around us Common shapes can be arranged in unusual ways Sometimes an unusual shape will tessellate

www. numeracysoftware. com Tessellations all around us Sometimes 2 or more different shapes will tessellate.

www. numeracysoftware. com Tessellation with Pentominoes • If you don’t know what a pentomino is, then click here. • If you have done the pentominoes activity before, then you will know what a pentomino is and how many different pentominoes there are. • Here they are. . .

www. numeracysoftware. com Tessellation with Pentominoes Which Pentominoes will tessellate? Here is one example to get you started….

www. numeracysoftware. com Tessellation with Pentominoes

www. numeracysoftware. com Tessellation with 7 -Pin Polygons • If you don’t know what a 7 -pin polygon is, then click here. • If you have done the 7 -pin polygons activity before, then you will know what a 7 -pin polygon is and how many different ones there are. • Here they are. . .

www. numeracysoftware. com Tessellation with 7 -Pin Polygons Which 7 -pin polygons will tessellate? Here is one example to get you started….

www. numeracysoftware. com Tessellation with 7 -Pin Polygons

www. numeracysoftware. com Tessellations by M. C. Escher

www. numeracysoftware. com Make Your Own Escher Tessellations 1 Step 1: Start with a simple shape that will tessellate e. g. a rectangle. Step 2: Remove a shape or shapes from one side of the rectangle and fix them to the opposite side.

www. numeracysoftware. com Make Your Own Escher Tessellations 1 Use this as a template to create your tessellation.

www. numeracysoftware. com Make Your Own Escher Tessellations 2 You could start with a hexagon and cut semi-circles from three of the sides and fix them to the opposite sides like this.

www. numeracysoftware. com Make Your Own Escher Tessellations 2

www. numeracysoftware. com Make Your Own Escher Tessellations 3 Start with a square and cut segments from two sides and fix them to the opposite sides like this.

www. numeracysoftware. com Make Your Own Escher Tessellations 3

www. numeracysoftware. com Enjoy making your own tessellations! END OF PRESENTATION

www. numeracysoftware. com Pentominoes A pentomino is made out of five squares that are connected along at least one edge. Here is an example of a pentomino. These are NOT pentominoes. How many different pentominoes can you find? Click here to return to the Tessellations.

www. numeracysoftware. com 7 -Pin Polygons Here is an arrangement of 7 pins. A 7 -pin polygon is a closed shape with straight sides with corners on the pins. Here are some examples of 7 -pin polygons. How many different 7 -pin polygons can you find? Click here to return to the Tessellations.

www. numeracysoftware. com Enjoy making your own tessellations! END OF PRESENTATION