Tessellation

Tessellation means filling a plane or space without any gaps or overlaps with one or more shapes (tiles). In Korean,

it is also called tessellation, tessellation, and tiling. 

 

Key Features

• No gaps or overlaps: The shapes should be connected without overlapping each other and without any gaps.

• Repetition and regularity: The same shape or multiple shapes are arranged repeatedly to form a pattern.

• Filling a plane or space: It is mainly done on a plane, but can also be applied in three-dimensional space.

 

Examples of tessellations in real life

 

• Bathroom or floor tiles, sidewalk blocks

• Hexagonal structures of **honeycombs**

• Ancient mosaics and decorative patterns of Islamic architecture

• Artworks by Dutch painter M.C. Escher

 

Mathematical meaning and conditions

• The sum of the angles that meet at a point must be 360 ​​degrees to fill a plane without any gaps.

• Representative shapes that can be tessellated are regular triangles, squares, and regular hexagons.

 

Summary

Tessellation is a mathematical and artistic concept that covers a plane or space without any gaps through the repetition and regularity of shapes. It is widely used in various fields such as architecture, art, and nature.