# What is a tessellation drawing?

A tessellation is a repetitive pattern of forms that are closely fitted together with no gaps or overlap. All you need are few pieces of paper, scissors, and tape. You can use any paper size or shape as long as each piece is equal in size. Start by making a template out of paper or cardboard by simply drawing around two adjacent squares and then cutting them out. Place one of the templates on top of another one with the identical shapes cut out, and cover the entire sheet with tape. When removing one template at a time, make sure to keep the remaining templates intact.

The taped-together sheets are now ready for cutting. Remove all but one of the templates and cut across both sizes of papers simultaneously. The smaller pieces of paper will be torn away when removed, and the larger pieces remain in place. Tape the remaining template to a new piece of paper and repeat the process until all sheets have been used.

## Why does a hexagon tessellate?

A tessellation is a pattern made up of similar objects that fit together perfectly. Regular polygons tessellate if their inner angles sum up to 360 degrees. A hexagon satisfies this condition because it has six sides and therefore six angles. The same rule applies to triangles, squares, and circles.

Hexagons have many beautiful patterns and figures of ground. They are useful in geometry for teaching concepts about congruency and similarity. When put on top of each other, they make very regular grids.

There are many ways to explain why hexagons tessellate.

1 "The secret of hexagonal tiles is that they can be placed in three dimensions so that no space is wasted." - This quote comes from an article by Mary Ann Jensen called "The magic of hexagons". It can be found online at http://www-cs-students.stanford.edu/~mjensen/hexmagic.html.

2 "The reason hexagons tessellate is that you can cut them into six identical pieces." - This statement was given by my teacher Mr. Sean Carroll when he taught a course on contemporary mathematics recently.

## What is a tessellation definition?

Definition of Tessellation A tessellation is formed when a shape is repeated indefinitely, covering a plane with no gaps or overlaps. The term comes from the Latin word for "little cubes," based on the fact that some crystals form cubes when cut into pieces.

There are two main types of tessellations: regular and irregular. In a regular tessellation, each unit cell contains the same number of sides. Thus, if we were to divide up a cube in half both times, it would be possible to keep dividing it in half forever, producing an infinite array of identical cubes.

An example of a regular tessellation is the one formed by dividing up a cube in half twice, resulting in four cubes. There are many other regular tessellations too, such as six-sided cells divided into three pairs or twelve-sided cells divided into four quadruples.

In an irregular tessellation, the sizes of cells vary. It is not possible to define exactly how large or small a cell must be to be considered irregular; instead, this type of tessellation is described only by its overall symmetry.

## What is simple tessellation?

A tessellation pattern is one that is made up of forms that do not have any gaps or overlaps. Tessellations can be created using simple geometric forms (such as squares and triangles) or with much more complicated or irregular shapes (such as stylized birds or fish) that have been engineered to fit together neatly in a repeating pattern. The patterns are often used for wall coverings, floor tiles, and roof shingles.

Simple tessellations are those in which each subsequent layer is placed directly on top of the last without lifting the pencil. When creating these patterns it is important to keep in mind what was already drawn on the sheet of paper. You should try to avoid covering over existing lines or filling in areas where there are holes. They can be fun to draw but they take time so only draw them if you have a lot of free time!

There are two types of simple tessellations: uniform and non-uniform.

In a uniform tessellation, all parts of the design are equal in size and shape. All triangles in this example are identical in size and position. Uniform designs can be easy to create since you just need to make sure that each layer fits smoothly on top of the previous one without leaving any gaps or overlapping.

Non-uniform tessellations contain elements of different sizes or shapes. These designs may require more thought process when drawing them but they are more interesting and varied.

##### Helen Noggler

Helen Noggler is a self-proclaimed creative who loves to write about all things involving art and design. She has a background in journalism and creative writing, so she knows how to tell stories that are engaging and useful. Helen's favorite thing about her job is that every day brings something new to explore, so she never gets bored!

#### Disclaimer

TexturaTrading.com is a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for sites to earn advertising fees by advertising and linking to Amazon.com.