Computers

Tessellations

Geometric Definitions:

In this section, you will learn the geometry behind tessellating.  Fill out the    Use the web sites listed below to help you find the answers.

Figures and Polygons:  This page has definitions of various geometric terms.
www.mathleague.com/

Four Basic Symmetries:  This site, also from Math Forum, explains the four types of symmetry in a very simple clear manner.

mathforum.org

Types of Symmetry:  This site from Math Form explains symmetry very well.

mathforum.org

What is Tessellation?:  This Math Forum site by Suzanne Alejandre does a great job of explaining how tessellations work and how they are named

mathforum.org/

Cool Math - Tessellations:  This site by Cool Math shows great examples of single polygon tessellations. 
www.coolmath.com/

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Creating Tessellations with Regular Polygons

There are two parts to this section.  First you will tessellate using only one regular polygon.  You must label your vertices.  Be sure to scroll to find the information. Then,  you will tessellate using at least two regular polygons

You will be graded on two main criteria;  how well you followed the rules of tessellation and creativity.  Use the web pages below to help you with the rules and give you some creative ideas.  

Examples of tessellations using regular polygons

Uniform Tilings:  This site has examples of tessellations using regular polygons.  It has examples using a single and multiple shapes
www.uwgb.edu/dutchs/index.htm
 

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Tessellating with Irregular Polygons

In this activity you get a chance to show how creative you can be.  Create a tessellation or tile using at least one irregular polygon. Use the web sites below if you need help or ideas.

Examples of tessellations using irregular polygons:

Polypolygon tilings:  By combining several regular polygons, you can make a really cool irregular polygon. This page has some great examples of "polyominoes." 

 www.uwgb.edu/dutchs/index.htm

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Tessellating without polygons

A Tessellation Activity:  These instructions will help you create your own tessellation from a square.  If you get lost scrolling, click on # 4 from the main list.

www.wsd1.org/bitsbytes/

Tessellationtown:  This site has some interesting and unique ideas for you to try. w
www.mathcats.com/explore/

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Tessellation Puzzle

• Open PowerPoint
• Create a tessellation using Interactive: Tessellate
• Copy your screen using Print Screen
• Paste the screen in PowerPoint
• Crop the screen so that your just your tessellation shows
• Right click and save your puzzle as a JPEG file
• Open JigCool  and create an online puzzle from your tessellation

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Sample Projects

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