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9. Join the open ends of the arcs. Draw a circle and trace both the outer and inner
circles with ink for a perfect look. Now, colour the inner area to create a beautiful
design.

teSSeLLAtIoN

While walking on a pedestrian path, you might have noticed tiles
with different designs placed on it. These tiles may be of the same

shape or a combination of different shapes used to cover the surface.
Tessellation is a recurring pattern of symmetrical, interlocking
shapes that fit together without any gaps in between.

Here, three pentagons are joined together. Can you fit another
pentagon into the remaining space?

No, a pentagon cannot fill the region completely.

What do you think about a hexagon? Can hexagons be joined together without leaving
gaps?

As you can see in the tessellation pattern of hexagons, there are no gaps between the
shapes. This makes a hexagon one of the most suitable regular polygons for tessellation.

Only three regular polygons, equilateral triangles, squares and hexagons, can form
tessellations by themselves.

In tessellation, tiles of different shapes can also be used together to form a design
without leaving any gaps.

158 Mathematics 5