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Tessellations of Pentagons (3/3)
 

1. Introduction
2. Limited Technique 1
3. Limited Technique 2
4. Limited Technique 3
5. Hands-On Activities
Limited Technique 3
Following is a description of one last type of pentagon that will tessellate. The process is quite clever. A side of a triangle is broken up in a way that the pentagon thus formed can join to itself, broken end to broken end. The pair of pentagons then acts like a parallelogram.

A Special Type of Pentagon that will Tessellate (animated)

A technique for creating a pentagon that can tessellate

 

Example Tessellations

Translation Variation

Translation Version of Pentagon Tessellation

The lightly shaded portion represents the pattern of two pentagons. This tessellation is created by translations (moves).
Reflection Variation

Reflection Version of Pentagon Tessellation

The lightly shaded portion represents the pattern of two pentagons. The darkly shaded portion is the reflection of the lightly shaded portion.

 

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