In a tessellation, whenever two or more polygons meet at a point (or vertex), the internal angles must add up to 360°. Only three regular polygons (shapes with all sides and angles equal) can form a tessellation by themselves—triangles, squares, and hexagons.
How do you know if a shape will tessellate?
A figure will tessellate if it is a regular geometric figure and if the sides all fit together perfectly with no gaps.
What are the rules of tessellation?
Tessellations
- RULE #1: The tessellation must tile a floor (that goes on forever) with no overlapping or gaps.
- RULE #2: The tiles must be regular polygons - and all the same.
- RULE #3: Each vertex must look the same.
