How Do We Use Tessellations In Everyday Life?

A tessellation or tiling of a flat surface is the covering of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries. … A tiling that lacks a repeating pattern is called “non-periodic”.

What is the basic use for tessellations?

Tessellations are used in works of art, fabric patterns or to teach abstract mathematical concepts, such as symmetry. Although tessellations can be made from a variety of different shapes, there are basic rules that apply to all regular and semi-regular tessellation patterns.

What is tessellation and how does it work?

A tessellation is a pattern created with identical shapes which fit together with no gaps. Regular polygons tessellate if the interior angles can be added together to make 360°. Certain shapes that are not regular can also be tessellated.

Why is tessellation useful?

Since tessellations have patterns made from small sets of tiles they could be used for different counting activities. … 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.

How do you explain tessellations?


  1. A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that there are no overlaps or gaps.
  2. A regular tessellation is a pattern made by repeating a regular polygon.
  3. A semi-regular tessellation is made of two or more regular polygons.

What are the main features of tessellations?

The key features of tessellations are that there are no gaps or overlaps. The same figure (or group of figures) come together to completely cover a wall or floor or some other plane. This requires the vertices to fit together.

What shapes can be used in a tessellation?

There are three regular shapes that make up regular tessellations: the equilateral triangle, the square and the regular hexagon.

Is tessellation math or art?

Tessellations are a famous form of mathematical art! Making tessellations is approachable by students of all math levels, and with its simple list of required materials, this is a great project that can be done at home or anywhere you need an enriching project.

Why are tessellations used in architecture?

Tessellations in Architecture

Tessellations are used extensively in architecture, both two-dimensional and three-dimensional. Tessellations are easy to use in architecture, especially in two-dimensional, because even the simplest repeating pattern can look astonishing when it covers a large area.

Who discovered tessellation?

While we will never know who put together the first tessellation, the work of Dutch graphic artist M. C. Escher and mathematician Sir Roger Penrose brought attention to the concept. Tessellations in art are usually shapes, patterns or figures that can be repeated to create a picture without any gaps or overlaps.

What are the 3 types of tessellations?

There are three types of regular tessellations: triangles, squares and hexagons.

Where are tessellations found in the natural world?

Tessellations can be found on honeycombs, pineapples, and various animals, including dragonflies, snakes, and giraffes.

What are tessellations in nature?

Surface tessellations are an arrangement of shapes which are tightly fitted, and form repeat patterns on a surface without overlapping. Imagine the pattern of a giraffe’s fur, the shell of a tortoise and the honeycomb of bees—all form natural tessellations.

What is tessellation patterns in nature?

Tessellations form a class of patterns found in nature. … Distinct shapes are formed from several geometric units (tiles) that all fit together with no gaps or overlaps to form an interesting and united pattern.

What is common in the given tessellation?

Answer: When the tessellation is made of regular polygons, the most common notation is the vertex configuration, which is simply a list of the number of sides of the polygons around a vertex.

What makes tessellation possible?

In a tessellation, whenever two or more polygons meet at a point (or vertex), the internal angles must add up to 360°. Only three regular polygons (shapes with all sides and angles equal) can form a tessellation by themselves—triangles, squares, and hexagons.

How are transformations used to create a tessellation?

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 are the three rules for tessellations?


  • RULE #1: The tessellation must tile a floor (that goes on forever) with no overlapping or gaps.
  • RULE #2: The tiles must be regular polygons – and all the same.
  • RULE #3: Each vertex must look the same.

Who is famous for tessellation?

A tessellation is a collection of shapes called tiles that fit together without gaps or overlaps to cover the mathematical plane. The Dutch graphic artist M.C. Escher became famous for his tessellations in which the individual tiles are recognizable motif such as birds and fish.

Is a honeycomb a tessellation?

In geometry, a honeycomb is a space filling or close packing of polyhedral or higher-dimensional cells, so that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions.