# What is transformation in tessellation?

## What is transformation in tessellation?

There are three major kinds of isometries: translations, reflections, and rotations. Translations are simply shifts. Students use translations when discussing tessellations, where a single shape is translated (shifted) repeatedly in different directions to cover the plane without any gaps or overlaps.

**How are transformations implemented in tessellations?**

We can create tessellations by moving a single geometric figure. We can perform translations such as translations and rotations to move the figure so that the original and the new figure fit together.

**What transformation did the artist use when creating this tessellation?**

The Dutch artist M.C. Escher was fascinated by tiling patterns, also called tessellations. Escher made these tiling patterns by starting with a basic shape and then transforming the shape using translations, rotations, and reflections.

### What is a translation tessellation?

Firstly, a translation tessellation is a. pattern with no gaps or overlaps (e.g. a tessellation), made by sliding (e.g. translating) a shape to repeat it. Here you can see how the bird shape—outlined in black—is slid. up and across the surface to form the translation tessellation.

**How do you make a translation tessellation?**

Steps

- Find an A4 size piece of paper.
- Cut out a small square or parallelogram.
- Convert this base tessellation into a more interesting shape.
- Trace it on the 3″ x 6″ (7.5cm x 15cm) paper until it is full.
- Go over the lines with a black permanent marker.
- Color it in anyway you like.
- Ink it all over.
- Let dry.

**How is tessellation used in art?**

Tessellations can be found in the hobby or art of origami. Back in the 1970’s Shuzo Fujimoto gave birth to folding paper into tessellations. Paper is folded into triangles, hexagons, and squares to form many different patterns and shapes. This painting repeats the same six sided figure in sets of three over and over.

#### How is a tessellation created?

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

**Is translation the same as tessellation?**

TRANSLATION – A Tessellation which the shape repeats by moving or sliding. ROTATION – A Tessellation which the shape repeats by rotating or turning. REFLECTION – A Tessellation which the shape repeats by reflecting or flipping.

**What is the purpose of tessellations?**

Tiles used in tessellations can be used for measuring distances. Once students know what the length is of the sides of the different tiles, they could use the information to measure distances. The tiles could be used to talk about perimeter.

## How are tessellations used in real life?

Tessellations can be found in many areas of life. Art, architecture, hobbies, and many other areas hold examples of tessellations found in our everyday surroundings. Specific examples include oriental carpets, quilts, origami, Islamic architecture, and the are of M. C. Oriental carpets hold tessellations indirectly.

**How to make a tessellation pattern in geometry?**

Create a tessellation pattern on construction by cutting a shape from a three-by-three square of paper and using it as a traceable pattern. This page contains four fun and interesting ways to teach your geometry lesson on tessellation. Tell whether each shale can tessellate. Write yes or no for each shape shown.

**When do polygons fit together it is called a tessellation?**

When polygons are fitted together to fill a plane with no gaps or overlaps the pattern is called a tessellation.

### How to translate a shape to a square?

Start at one vertex and end at the vertex beside it. Translate the shape by sliding it to the opposite side of the square. Tape the shape to the square being sure to fit it right up against the edge of the square. Cut out a new shape from the straight side of the square. Slide it across to the other side and tape it in place.