Page 72 - NUMINO Challenge_B2
P. 72
Basic Concepts Tessellation
Using a certain pattern to cover the entire surface of a plane without
overlapping is called tessellation.
Example Find all the shapes in which tessellation is possible.
Class Notes The angles of equilateral triangles are
. Therefore, equilateral
When circles are placed without
overlapping, empty spaces are formed. triangles can cover the surface.
The angles of squares are . The angles of regular pentagons are
. If three pentagons are placed,
Therefore, squares can cover the
surface. empty spaces are formed, and if
pentagons are placed, the shapes
overlap.
The angles of regular hexagons are The angles of regular octagons are
. Therefore, hexagons can . If two pentagons are placed,
cover the surface. empty spaces are formed. If three
octagons are placed, the shapes overlap.
Shapes 69
Using a certain pattern to cover the entire surface of a plane without
overlapping is called tessellation.
Example Find all the shapes in which tessellation is possible.
Class Notes The angles of equilateral triangles are
. Therefore, equilateral
When circles are placed without
overlapping, empty spaces are formed. triangles can cover the surface.
The angles of squares are . The angles of regular pentagons are
. If three pentagons are placed,
Therefore, squares can cover the
surface. empty spaces are formed, and if
pentagons are placed, the shapes
overlap.
The angles of regular hexagons are The angles of regular octagons are
. Therefore, hexagons can . If two pentagons are placed,
cover the surface. empty spaces are formed. If three
octagons are placed, the shapes overlap.
Shapes 69
