This is the slideshare version of our lesson(Tessellation)

1. Tessellation
Helbert B. Tedoso

2. OBJECTIVES
At the end of the lesson, the students should
be able to:
1. Define and identify Tessellations;
2. Discriminate between patterns and tessellations; and
3. Create simple tessellations.

3. INTRODUCTION
This is the outline of the lesson:
1. Definition and Etymology of Tessellation
2. Short History of Tessellation
3. Regular and Semi-regular Tessellation
4. Other Tessellation
5. Synchronous Activity
.

4. Definition of Tessellation
A Tessellation is a regular pattern made up of flat shapes repeated and
joined together without any gaps or overlaps.
These shapes do not all need to be the same. But the pattern should
repeated. Another word for tessellation is tiling.
The word tessellation is derived from the Greek Tesseres which means
“four” and refers to the four sides of a square, the first shaped to be
tilled.

5. Short History of Tessellation
● Over 2,200 years ago, ancient Greeks were decorating their homes
with tessellations, making elaborate mosaics from tiny, square tiles.
Early Persian and Islamic artists also created spectacular tessellating
designs.
● More recently, the Dutch artist M. C. Escher used tessellation to
create enchanting patterns of interlocking creatures, such as birds
and fish.

7. Regular Tessellation
Is a pattern made by repeating a regular polygon.
A regular polygon is one having all its sides equal and all its interior
angles equal.

8. Regular Tessellation
So there are only three kinds of regular tessellations- ones made from
squares, equilateral triangle and hexagon.

9. Semi- regular Tessellation
A semi-regular tessellation is made of two or more regular polygons-
ex: the hexagon and diamond shapes.
The pattern at each vertex should be the same.
There are only eight kinds of semi-regular tessellations.

10. Semi-regular Tessellation

11. Semi- regular Tessellation
1. Triangles and Squares
2. Triangles and Squares but in different pattern
3. Triangles and Hexagons
4. Triangles and Hexagons but in different pattern
5. Hexagons, Triangles and Squares
6. Octagons and Squares
7. Dodecagons and Triangles
8. Dodecagons, Hexagons and Triangles

12. Semi-regular Tessellation

13. Other Tessellation
There are also demi-regular tessellations or polymorph tessellations
but they are difficult to define.
Some have described them as a tiling of the 3 regular and 8 semi-
regular tessellations, but this is not the very precise definition.
Others have tried to for more specific or complicated definitions.

14. Other Tessellation

15. Other Tessellation

16. Other Tessellation

17. SYNCHRONOUS TASK
Let’s Tessellate:
For your activity kindly follow this link
below
https://www.transum.org/software/Investi
gations/tessellation.asp

19. Thank you for Listening

20. For more information, kindly click the following links below:
● https://www.mathsisfun.com/geometry/tessellation.html
● https://en.wikipedia.org/wiki/Tessellation
● https://mathworld.wolfram.com/Tessellation.html
● https://www.coolmath.com/lesson-tessellations-1
● http://www.mathpuzzle.com/Tessel.htm
● https://www.youtube.com/watch?v=ZXU28FhYY_M
● https://www.youtube.com/watch?v=WBVzoaFi90E
● https://www.youtube.com/watch?v=GtG4Jnbpomk
● https://www.slideshare.net/ksumatarted/tessellations-9394890
● http://www.csun.edu/~lmp99402/Math_Art/Tesselations/tesselat
ions.html