1. Tessellations

2. What is a Tessellation? The word “tessera” in latin
means a small stone cube.
They were used to make up
“tessellata” - the mosaic
pictures forming floors and
tilings in Roman buildings.

3. Today, the term has become more specialized and is used to refer to pictures or tiles, mostly in the form of animals and other life forms, which cover the surface of a plane in a symmetrical way without overlapping or leaving gaps.

4. Types of Tessellations
Translation
In geometry, translation is the movement of an object in a
plane. The object or shape is moved to a new position
without rotation or change in size.

5. Rotation These are tessellations with rotational symmetry.This means
that the geometrical shape rotates around one fixed point.

6. Reflection The geometrical shape is flipped over, becoming a mirror
image of itself.

7. Tessellations in Nature
Reflection

8. Rotation

9. Translation

10. During his life, he became obsessed with filling the
The artist M.C. Escher can be regarded as the “Father” of modern tessellations.
During his life, he became
obsessed with filling the
plane with pictures that did
not overlap or leave
space.
Reptiles 1943

11. In 1925 M. C. Escher produced his first tessellation
In 1925 M.C. Escher produced his first tessellation. It was a block print of lions, in which the subject interlocked and covered the plane.

12. Frogs & Fish, 1942
Frogs, 1942

13. How to make Tessellations
You will be given a 6X6 card.
First, you will draw a wavy or zigzag line from the top left corner
to the top right corner.
Next you will cut along the line, and slide the piece down to the
bottom and attach it.

14. Now, you will make your tessellation!

15. Now, you will draw a wavy or zigzag line from the top right corner
to the bottom right corner.
Next, you will then cut along the line and slide the piece to the
left and attach it.
This process creates a tessellation “tile” or pattern piece.
You will trace this shape repeatedly, without leaving any gaps
between them.