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Tessellations of Hexagons (1/2)
 

Introduction
Having investigated pentagons, the logical step is to consider hexagons. As with pentagons, it is impossible for all the angles of a hexagon to fit around a point. There are only 360 degrees available, but the angles of a hexagon constitute 720 degrees.

 

1. Introduction
2. Limited Technique 1
3. Limited Technique 2
4. Hands-On Activities
Limited Technique 1
It takes some time and effort, but you can discover that certain types of hexagons do tessellate. The following illustrates a technique very similar to Limited Technique 1 used in the Tessellation of Pentagons section.

One Type of Tessellating Hexagon

A technique for creating a hexagon that can tessellate

 

Example Tessellations

Example 1

The shaded portion represents the pattern described above. The dotted lines separate the original parallelogram from the newly created triangles.
Example 2

The shaded portion represents the pattern described above. The dotted lines separate the original parallelogram from the newly created triangles.

 

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