# Tessellation

Polygons

## Definition

A tessellation is a repeating pattern of geometric shapes that covers a plane without gaps or overlaps.

## Description

Tessellations are fascinating geometric arrangements that play a significant role in both mathematics and art. They occur when a surface is completely covered by repeating shapes, leaving no gaps or overlaps. In geometry, tessellations demonstrate how certain shapes can fit together perfectly to create intricate patterns. The most common shapes used in tessellations are regular polygons, such as triangles, squares, and hexagons, due to their uniform angles and sides.

Tessellations have practical applications in various fields, including architecture, design, and crystallography. In nature, tessellations can be observed in honeycomb structures, snake skin patterns, and the arrangement of scales on fish. Artists like M.C. Escher have famously used tessellations to create mind-bending optical illusions and intricate artwork. Understanding tessellations helps students develop spatial reasoning skills and appreciate the connection between mathematics and visual arts.

For a complete collection of terms related to polygons click on this link: Polygons Collection.

Common Core Standards CCSS.MATH.CONTENT.5.G.B.3, CCSS.MATH.CONTENT.5.G.B.4, CCSS.MATH.CONTENT.3.G.A.1, CCSS.MATH.CONTENT.3.MD.D.8, CCSS.MATH.CONTENT.6.G.A.1, CCSS.MATH.CONTENT.6.G.A.3, CCSS.MATH.CONTENT.HSG.CO.A.3 3 - 8 Geometry     • Polygons         • Definition of a Polygon 2021 polygon, definitions, glossary term