Write in your Journal:Write in your Journal:

TessellationTessellation - a design that uses - a design that uses repeating shapes that fit together without repeating shapes that fit together without overlapping or gaps.overlapping or gaps.

PatternPattern - The repetition of things like - The repetition of things like shapesshapes, , lineslines, or , or colorscolors..

Polygon Polygon - a closed shape bounded by - a closed shape bounded by straight lines. straight lines. Examples: Square, Examples: Square, Hexagon, TriangleHexagon, Triangle

Raise your hand if Raise your hand if you have ever you have ever

seen a seen a tessellation!tessellation!

A A brick wall brick wall is an is an example example of a of a tessellationtessellation

What is a What is a Tessellation?Tessellation?

a design that uses a design that uses

repeating shapesrepeating shapes

that that fitfit together together

without overlapping without overlapping

or gaps.or gaps.

Every day tessellations . . .Every day tessellations . . .

Tiles are tessellations.Tiles are tessellations.

Quilts can be tessellations too!Quilts can be tessellations too!

Can you think of other Can you think of other tessellations?tessellations?

What about a grid?What about a grid?

Or a wasp nest?Or a wasp nest?

Wasp nest? Wasp nest? Let it beLet it be - the best answer! - the best answer!Tim Gibb, Insect Diagnostician, Department of Entomology, Purdue University Tim Gibb, Insect Diagnostician, Department of Entomology, Purdue University

Several species of wasps, including paper wasps, yellow Several species of wasps, including paper wasps, yellow jackets and hornets construct gray, paper-like nests jackets and hornets construct gray, paper-like nests made up of wood or foliage chewed up and elaborated made up of wood or foliage chewed up and elaborated by the insects. Regardless of the species, all colonies of by the insects. Regardless of the species, all colonies of these wasps have two things in common; (1) they can these wasps have two things in common; (1) they can sting very effectively and (2) they are beneficial insects sting very effectively and (2) they are beneficial insects because they eat spiders and other insects that are because they eat spiders and other insects that are potential pests. These two seemingly opposite potential pests. These two seemingly opposite characteristics make the call on 'should I destroy the characteristics make the call on 'should I destroy the wasp nest in my yard or let it be?', a difficult decision.wasp nest in my yard or let it be?', a difficult decision.

By leaving the nest alone a homeowner can decrease the By leaving the nest alone a homeowner can decrease the danger of being stung while trying to kill the wasps, save danger of being stung while trying to kill the wasps, save on the chemical cost of controlling it, and increase the on the chemical cost of controlling it, and increase the natural pest control in the yard. In cases where the nest natural pest control in the yard. In cases where the nest is located in a wall void or in a building, by leaving the is located in a wall void or in a building, by leaving the nest alone, a homeowner can save the costs of breaking nest alone, a homeowner can save the costs of breaking into the wall to remove the nest. into the wall to remove the nest.

GeometricGeometricTessellationsTessellations!!

Geometric TessellationsGeometric TessellationsAre made with polygonsAre made with polygons

Which one is not polygon?Which one is not polygon?

Geometric Tessellations

Islamic Tessellations!Islamic Tessellations!

In ArchitectureIn Architecture

Islamic Tile Islamic Tile & Wood & Wood

WorkWork

Islamic Islamic DesignsDesigns

Henna – Ceremonial Hand painting Henna – Ceremonial Hand painting (Indian Culture)(Indian Culture)

Assignment 1Assignment 1 Assignment 2Assignment 2

Draw a tessellation Draw a tessellation using a 4 sided using a 4 sided polygon.polygon.The design must be 6” The design must be 6” x 6”x 6”You must use a ruler to You must use a ruler to measure and draw measure and draw straight linesstraight linesColor your design with Color your design with a pattern (repeating a pattern (repeating colors)colors)

Draw 1 of the 11 basic Draw 1 of the 11 basic tessellationstessellations

Use the tessellation Use the tessellation worksheet examplesworksheet examples

You must use a ruler to You must use a ruler to measure and draw measure and draw straight linesstraight lines

Color your design with Color your design with a pattern (repeating a pattern (repeating colors)colors)

How to draw a geometric How to draw a geometric TessellationTessellation

You will need aYou will need a– RulerRuler

– #2 Pencil #2 Pencil

– EraserEraser

– 8x11 paper8x11 paper

FirstFirst

Find inches on your rulerFind inches on your ruler

Most rulers are 12” InchesMost rulers are 12” Inches

This example is 6 inches longThis example is 6 inches long

inches

SecondSecond

Find 0 on the rulerFind 0 on the ruler

1 inch1 inch

2 inches2 inches

Do you see the pattern?Do you see the pattern?

0

Which finger Which finger segment is 1”?segment is 1”?–Is it your index Is it your index

finger?finger?

–Middle finger?Middle finger?

–The Pinky?The Pinky?

ThirdThird

Find ½ of an inch on the rulerFind ½ of an inch on the ruler

1 and ½ inches1 and ½ inches

2 and ½ inches2 and ½ inches

Do you see the pattern?Do you see the pattern?

0

Line up the 0” on the ruler Line up the 0” on the ruler with the edge of your paperwith the edge of your paper

Does the 0” line on the ruler Does the 0” line on the ruler touch the edge of your touch the edge of your paper?paper?

0

With the 0” at the edge of the With the 0” at the edge of the paper, use your pencil to mark 1”, paper, use your pencil to mark 1”,

2”, 3”, 4”, 5” and 6”2”, 3”, 4”, 5” and 6”

Does the Does the 0” line0” line on the ruler touch the on the ruler touch the edge of your paper?edge of your paper?

Put marks at the top of your Put marks at the top of your paperpaper

0

To make sure the lines are straight, do the To make sure the lines are straight, do the same thing at the bottom of your paper.same thing at the bottom of your paper.

Does the Does the 0” line0” line on the ruler touch on the ruler touch the edge of your paper?the edge of your paper?Use your pencil to mark 1”, 2”, 3”, 4”, 5” and 6” at the bottom

0

Now line up the dots on the edge of the ruler and draw a straight

line!

One Big InchOne Big Inch

1/161/16

1/81/8

1/21/2

11

1/41/4

Drawing TessellationsDrawing Tessellations

Today, I am going to show you how to make Today, I am going to show you how to make some basic some basic tessellationstessellations using the using the polygonspolygons that that you learned about yesterday.you learned about yesterday.

You may draw the tessellation on paper or on You may draw the tessellation on paper or on your computer.your computer.

Geometric Organic

Instructions for WordInstructions for Word

1. Open a new Word Document.1. Open a new Word Document.2. Go to the top left corner and select File2. Go to the top left corner and select File

select page set upselect page set up set the margins to: top .5, bottom .5, left 2.5 and right 2.5set the margins to: top .5, bottom .5, left 2.5 and right 2.5

3. Go to the bottom left corner of the screen and click Draw, 3. Go to the bottom left corner of the screen and click Draw, select grid,select grid,

select snap to grid lines, select snap to grid lines, grid spacing horizontal .5 and vertical .5grid spacing horizontal .5 and vertical .5 select , grid setting 1 lineselect , grid setting 1 line

4. next to Draw, select AutoShapes 4. next to Draw, select AutoShapes Select different shapes to make a tessellationSelect different shapes to make a tessellation

5. Use the grid to organize the shapes5. Use the grid to organize the shapes6. use the paint brush to change the color of the lines around the 6. use the paint brush to change the color of the lines around the

shape. shape. 7. Use the paint bucket to add color to the shape.7. Use the paint bucket to add color to the shape.

Instructions for DrawingInstructions for Drawing

See the green art book for step by step See the green art book for step by step instructionsinstructions

You will need a ruler, light pencil, eraser, You will need a ruler, light pencil, eraser, paper, and a card to cut the shapepaper, and a card to cut the shape

Remember to draw lightlyRemember to draw lightly

Resources:Resources:http://web.ukonline.co.uk/polyhedra/tessellations/type14.http://web.ukonline.co.uk/polyhedra/tessellations/type14.htmhtm (images) (images)http://library.thinkquest.org/16661/http://library.thinkquest.org/16661/ (Totally Tessellated!) (Totally Tessellated!)http://www.ppdl.purdue.edu/ppdl/weeklypics/8-23-04.htmhttp://www.ppdl.purdue.edu/ppdl/weeklypics/8-23-04.htmll (wasp article & picture) (wasp article & picture)http://www.artlex.com/http://www.artlex.com/ (art definitions) (art definitions)((www.m-w.comwww.m-w.com) (dictionary)) (dictionary)http://www.jaist.ac.jp/~hash/favorites/photo/http://www.jaist.ac.jp/~hash/favorites/photo/ (Islamic (Islamic Photos)Photos)http://www.thehennagirl.net/NewFiles/hennagallery4.htmlhttp://www.thehennagirl.net/NewFiles/hennagallery4.htmlhttp://www.broug.com/gallery.htmhttp://www.broug.com/gallery.htm (Islamic Architecture) (Islamic Architecture)http://www.silkroadandbeyond.co.uk/turkistan.htmlhttp://www.silkroadandbeyond.co.uk/turkistan.html (Kazakhstan)(Kazakhstan)