# Why do we teach tessellation?

## Why do we teach tessellation?

Tessellation is an important topic in Mathematics, specifically in the study of 2D shapes. It involves learning about patterns and shapes that fit together perfectly without any gaps or overlaps. Tessellations have a wide range of applications and can be found in various areas of life, including art, architecture, and even hobbies. Understanding tessellation helps develop critical thinking, spatial reasoning, and problem-solving skills.

## Key points about tessellation:

**Tessellated shapes:**Tessellated shapes are 2D shapes that fit exactly together. These shapes can be different from each other.**Real-life relevance:**Tessellations can be found in many aspects of our everyday surroundings. Examples include oriental carpets, quilts, origami, Islamic architecture, and the artwork of M.C. Escher.**Understanding tessellation:**Tessellation is the process of arranging shapes to create a pattern without any gaps or overlaps. While squares can be tessellated, circles cannot be tessellated as there will always be gaps between them.**Tessellation explained for kids:**Square tessellation is a common example where squares are arranged in a pattern. The squares meet edge to edge without any gaps or overlapping, similar to a checkerboard.**Mathematical relation:**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 – triangles, squares, and hexagons – can form tessellations by themselves.**Tessellations as art and math:**Tessellations are considered both art and math. They are not just limited to artwork and architecture but also studied as a part of Euclidean geometry in mathematics.**Regular tessellations:**A regular tessellation involves the repeat of only one shape throughout the pattern. There are three regular polygons that can be repeated without any gaps or overlaps: equilateral triangles, squares, and regular hexagons.**Examples in real life:**Tessellations can be seen in various real-life scenarios, such as tile floors, brick or block walls, checker or chess boards, and fabric patterns.**Tessellation in art:**Tessellations play an important role in art and architecture. They provide decorative aesthetics and have been used to cover walls, pavements, and ceilings in many facilities.**Tessellation and mathematics:**A tessellation or tiling is the covering of a surface, often a plane, using geometric shapes called tiles. The tiles must have no overlaps or gaps. Tessellation can be generalized to higher dimensions and different geometries in mathematics.

## Questions about tessellation:

**What is tessellation and why is it important?**Tessellation refers to the process of fitting shapes together to create a pattern without any gaps. It is important as it helps develop critical thinking, spatial reasoning, and problem-solving skills.

**How are tessellations relevant to real life?**Tessellations can be found in various areas of life, including art, architecture, and hobbies like quilting or origami. Examples include oriental carpets, Islamic architecture, and the artwork of M.C. Escher.

**What can we learn about tessellation?**Tessellation is the process of arranging shapes to create a pattern without any gaps or overlaps. It helps understand the concept of space, shapes, and patterns.

**What is tessellation explained for kids?**Tessellation for kids can be explained as arranging squares in a pattern where they meet edge to edge without any gaps or overlaps.

**How does tessellation relate to math?**Tessellation is related to math as in a tessellation, whenever two or more polygons meet at a point, the internal angles must add up to 360°. Only certain polygons can form tessellations by themselves, such as triangles, squares, and hexagons.

**Is tessellation math or art? Why?**Tessellations are both math and art. While they are used in artwork and architecture, they are also studied as a part of Euclidean geometry in mathematics.

**How do tessellations relate to math?**In a tessellation, whenever two or more polygons meet at a point, the internal angles must add up to 360°. Only certain polygons can form tessellations by themselves.

**What is an example of tessellations in real life?**Examples of tessellations in real life can be seen in tile floors, brick walls, checker or chess boards, and fabric patterns.

**Why is tessellation important in art?**Tessellations are important in art because they provide decorative aesthetics and have been used to cover walls, pavements, and ceilings in various facilities.

**How is tessellation related to math?**Tessellation involves covering surfaces, often planes, with geometric shapes called tiles without any overlaps or gaps. It can be generalized to higher dimensions and different geometries in mathematics.

** What is tessellation and why is it important **

In Maths, tessellation and learning about tessellation patterns forms an important part of the 2D Shapes topic. Tessellated shapes are 2D shapes that fit exactly together, though the shapes do not have to be the same.

** How are tessellations relevant to 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. Escher.

** What can we learn about tessellation **

Tessellation is when you put shapes together to create a pattern without gaps between the shapes. For example, squares can be tessellated, because when you place them next to each other, there are no gaps between them. Circles don't tessellate, because there will always be gaps between them.

** What is tessellation explained for kids **

Square tessellation square tessellation is where squares are arranged in a pattern. The squares meet edge to edge with no gaps. And no overlapping. Areas look at this checkerboard.

** How does tessellations relate to math **

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.

** Is tessellation math or art why **

Tessellations are both art and math. Tessellations make up artwork and architecture, but the mathematical study of tessellations is considered Euclidean geometry on the Euclidean plane.

** How do tessellations relate to math **

A regular tessellation involves the repeat of only one shape throughout the pattern. And there are only three regular polygons that can be repeated over and over again without any gaps or overlaps. These geometric shapes are equilateral triangles, squares, and regular hexagons.

** How are tessellations related to math **

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.

** What is an example of tessellations in real life **

Examples of a tessellation are: a tile floor, a brick or block wall, a checker or chess board, and a fabric pattern.

** Why is tessellation important in art **

Because of their characteristics and decorative aesthetics, tessellations were used in art and architecture alike, providing coverings for walls, pavements and ceilings of many facilities.

** How is tessellation related to math **

A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries.

** What are 3 facts about tessellations **

A regular tessellation is a shape that can be made by repeating a regular polygon. A very limited number of shapes can form regular tessellations – in fact there are only 3! Triangles, squares, and hexagons are the only shapes that can form tessellations on their own without assistance from other geometric gap-fillers.

** How is tessellation related to math and art **

tessellations are both math and art. I think that because you need knowledge about math such as rotation, translation, reflection, names of shapes, and more to create a tessellation, but they are also about elements of art. Line, shape, color, value, form, and texture…

** Are tessellations art or math **

Tessellations are both art and math. Tessellations make up artwork and architecture, but the mathematical study of tessellations is considered Euclidean geometry on the Euclidean plane.

** What is the history of tessellations in math **

The origin of the mathematical art of creating patterns, or tessellation, dates back to 4000 B.C. when ancient Sumerians discovered the use of clay tiles as home and temple decorations. It wasn't too long until the next civilizations quickly adopted tessellation both in art and architecture.

** What is tessellation in math in the modern world **

A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries.