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Learn about tessellations - designs without gaps or overlaps, geometric patterns, and how to create tessellations using polygons. Discover examples like a brick wall and geometric Islamic designs. Dive into the world of tessellation today!
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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
What is a Tessellation? • a design that uses • repeating shapes • that fit together • without overlapping • or gaps.
Every day tessellations . . . Tiles are tessellations.
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 Are made with polygons Which one is not polygon?
Islamic Tessellations! • In Architecture
Assignment 1 Assignment 2 • 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) • 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?
Measure your finger 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?
0 Line up the 0” on the ruler with the edge of your paper • 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
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 0
Now line up the dots on the edge of the ruler and draw a straight line!
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/ (Islamic Photos) • http://www.thehennagirl.net/NewFiles/hennagallery4.html • http://www.broug.com/gallery.htm (Islamic Architecture) • http://www.silkroadandbeyond.co.uk/turkistan.html (Kazakhstan)