Design a template:

Step 1:

Consider a 3 inches by 3 inches square index paper.

Step 2:

Cut down a piece in top in a Wavy manner.

Step 3:

Cut down a piece in right side in a Wavy manner.

Step 4:

Cut down a piece in down in a Wavy manner.

Step 5:

Cut down a piece in left in a Wavy manner.

The template resembles a bird flying.

Consider a  and sheet of paper.

A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.

Draw a tessellate using the template.

Transformation:

Transformations are a fundamental part of computer graphics.

Transformations are used to position objects, to shape objects, to change viewing positions and even to change they are viewed.

Types of transformation:

They are four types of transformation.

1. Translation.

2. Rotation

3. Reflection

4. Dilation.

Translation :

Moving an object/figure in space without changing its size, shape or orentation.

Foot steps, moving a box is best example for translation.

Rotation :

Rotating an object/figure about a fixed point without changing its size or shape.

Earth revolving around the Sun is example for rotation.

Reflection :

Reflection an object/Figure across a line without changing its size or shape.

Mirror reflects your image is example of reflection.

Dilation :

This is defined as either enlargement of reduction of a figure in plane movements.

If the scale factor is greater than , then it is said to be enlargement.

If the scale factor is between 0 and 1, then it is said to be reduction.

Enlarging a picture from wallet-size to wall-hanging size dilation is used.

(c)

Tessellation: \ \

A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps.

(d)

Tessellations affect your everyday lives like in nature, homes, buildings, and on roofs, walls, and windows.

Architect, mathematicians and designers use tessellations.