Chapter 12.1
Understanding Tessellations in Mathematics and Geometry
Explore the fascinating world of tessellations in math and geometry. Learn how shapes fit together to create infinite patterns, and discover their applications in art, nature, and technology.
What You'll Learn
Recognize tessellations as patterns of shapes that cover a plane without gaps or overlaps
Calculate interior angles of regular polygons using the formula 180(n-2)
Determine if a polygon tessellates by checking if 360 divides evenly by its interior angle
Identify which regular polygons tessellate: triangles, squares, and hexagons
Understand that mixed polygons can tessellate if their angles sum to 360 degrees at each vertex
What You'll Practice
1
Calculating interior angles for triangles, squares, pentagons, hexagons, and heptagons
2
Testing polygons for tessellation by dividing 360 by interior angles
3
Determining which regular polygons can tile a plane independently
4
Analyzing irregular polygons using the interior angle sum formula
Why This Matters
Tessellations appear everywhere in real lifefrom tiling floors and walls to creating art and patterns in nature like honeycombs. Understanding which shapes tessellate helps you solve practical design problems and builds your geometric reasoning skills for more advanced math.
Before You Start — Make Sure You Can:
This Unit Includes
3 Video lessons
Practice exercises
Learning resources
Skills
Tessellations
Interior Angles
Polygons
Geometry
Pattern Recognition
Angle Calculation
Regular Polygons
