Chapter 7

Section 7.4

Objectives

• Learn about tessellations of regular polygons.• Classify and identify monohedral, regular, and

semiregular tessellations.

Tessellation

A tessellation (tiling) is a pattern made of identical shapes where the shapes must fit together without any gaps and the shapes should not overlap.

A tiling that uses only one shape is called a monohedral tessellation.

Regular Tessellation

A monohedral tessellation of congruent regular polygons is called a regular tessellation.

Semiregular Tessellation

When the same combination of regular polygons (of two or more kinds) meet in the same order at each vertex of a tessellation, it is called a semiregular tessellation.

Investigation

As a class create semiregular tessellations using the floor tiles.

What shapes could we use?