Tessellations!

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Transcript Tessellations!

Write in your Journal:

Tessellation

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

Pattern

- The repetition of things like shapes , lines , or colors .

Polygon

- a closed shape bounded by straight lines.

Examples: Square, Hexagon, Triangle

Raise your hand if you have ever seen a tessellation!

A brick wall is an example of a tessellation

What is a Tessellation?

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

Every day tessellations . . .

Tiles are tessellations.

Quilts can be tessellations too!

Can you think of other tessellations?

What about a grid?

Or a wasp nest?

Wasp nest? Let it be - the best answer!

Tim Gibb, Insect Diagnostician, Department of Entomology, Purdue University

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

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

Geometric

Tessellations!

Geometric Tessellations

Are made with polygons Which one is not polygon?

Geometric Tessellations

Islamic Tessellations!

In Architecture

Islamic Tile & Wood Work

Islamic Designs

Henna – Ceremonial Hand painting (Indian Culture)

Assignment 1 Draw a tessellation using a 4 sided polygon.

The design must be 6” x 6” You must use a ruler to measure and draw straight lines Color your design with a pattern (repeating colors) Assignment 2 Draw 1 of the 11 basic tessellations Use the tessellation worksheet examples You must use a ruler to measure and draw straight lines Color your design with a pattern (repeating colors)

How to draw a geometric Tessellation You will need a – Ruler – #2 Pencil – Eraser – 8x11 paper

First

Find inches on your ruler Most rulers are 12” Inches This example is 6 inches long inches

Second

Find 0 on the ruler 1 inch 2 inches 0 Do you see the pattern?

Which finger segment is 1”?

–Is it your index finger?

–Middle finger?

–The Pinky?

Third

Find ½ of an inch on the ruler 1 and ½ inches 2 and ½ inches

0 Do you see the pattern?

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

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

Put marks at the top of your paper

0

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

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

Use your pencil to mark 1”, 2”, 3”, 4”, 5” and 6” at the bottom

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

1/2 1/16 1/8 1/4

One Big Inch 1

Drawing Tessellations

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

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

Geometric Organic

Instructions for Word

1. Open a new Word Document.

2. Go to the top left corner and select File select page set up set 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, select grid, select snap to grid lines, grid spacing horizontal .5 and vertical .5

select , grid setting 1 line 4. next to Draw, select AutoShapes Select different shapes to make a tessellation 5. Use the grid to organize the shapes 6. use the paint brush to change the color of the lines around the shape. 7. Use the paint bucket to add color to the shape.

Instructions for Drawing

See the green art book for step by step instructions You will need a ruler, light pencil, eraser, paper, and a card to cut the shape Remember to draw lightly

Resources: http://web.ukonline.co.uk/polyhedra/tessellations/type14.

htm (images) http://library.thinkquest.org/16661/ (Totally Tessellated!) http://www.ppdl.purdue.edu/ppdl/weeklypics/8-23 04.html

(wasp article & picture) http://www.artlex.com/ (art definitions) ( www.m-w.com

) (dictionary) http://www.jaist.ac.jp/~hash/favorites/photo/ Photos) (Islamic http://www.thehennagirl.net/NewFiles/hennagallery4.html

http://www.broug.com/gallery.htm

(Islamic Architecture) http://www.silkroadandbeyond.co.uk/turkistan.html

(Kazakhstan)