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Others Like “Topologies”

Science Fair Project Idea
You can investigate how the geography of an area makes it prone to severe flash floods. Some areas, typically gullies or canyons, can flood extremely rapidly making it impossible to escape a flash flood. Compare the topography, or geographical shape, or these areas. What makes them prone to flash floods? Can you do an experiment showing how the flow of water increases as a channel narrows? Can you use topological maps of your region to identify areas at risk for flash floods? (NCAR, 2006;… Read more
Weather_p027
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Time Required Average (6-10 days)
Science Fair Project Idea
A magic square is an arrangement of numbers from 1 to n2 in an n x n matrix. In a magic square each number occurs exactly once such that the sum of the entries of any row, column, or main diagonal is the same. You can make several magic squares and investigate the different properties of the square. Can you make an algorithm for constructing a Magic Square? Can you show that the sum of the entries of any row, column, or main diagonal must be n(n2+1)/2? Are there any other hidden properties of a… Read more
Math_p036
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Time Required Average (6-10 days)
Science Fair Project Idea
If you like to fish and you'd rather not be telling the story of "the one that got away," then this is a project for you. What combination of properties makes for the best fishing line? Here are some suggestions for getting started on your background research into fishing line properties: knot strength, abrasion strength, shock strength, tensile strength, limpness, controlled stretch, and desired range of visibility (Dodson, 2006). Choose the properties that you think are most important, and… Read more
MatlSci_p028
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Time Required Average (6-10 days)
Science Fair Project Idea
thumbnail If you're the kind of person who has taken apart your Rubik's cube in order to grease the inside parts so it will move more smoothly, this could be a great project for you. We'll show you three sets of move sequences that accomplish specific rearrangements of the cube. Can you devise a way to solve the cube using only these three move sequences? Read more
Math_p025
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Time Required Long (2-4 weeks)
Prerequisites To do this project you should enjoy solving puzzles and thinking in three dimensions.
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Science Fair Project Idea
How much force can a rubber band withstand before breaking? Do rubber bands that stretch longer take more or less force to break? How does the elasticity of a rubber band change with temperature? Use a spring scale to measure the applied force, and a meter stick or ruler to measure the change in length. Recording with a video camera (or possibly two) can help you to capture the values at the moment before the rubber band breaks. You can change the temperature of the rubber bands using… Read more
ApMech_p033
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Time Required Short (2-5 days)
Science Fair Project Idea
thumbnail How big a ruler would you need to measure the circumference of the Earth? Did you know that you can do it with a yardstick? (And you won't have to travel all the way around the world!) Read more
Astro_p018
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Time Required Short (2-5 days)
Prerequisites You will need to understand some basic principles of geometry for this project. You will need a friend or relative in a distant city to make a shadow measurement for you on the same day you make yours. Both of you will need clear weather.
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Science Fair Project Idea
thumbnail This is an interesting geometry project that goes back to the time of Archimedes, the famous Greek mathematician. You can combine this mathematical project with computer science and take this ancient problem into the twenty-first century with a dynamic diagram using the geometry applet. Read more
Math_p018
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Time Required Short (2-5 days)
Prerequisites You should either currently be taking or have already completed a first course in geometry. You must understand the concept and method of a mathematical proof.
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Science Fair Project Idea
How do you turn a 2-dimensional piece of paper into a 3-dimensional work of art? Origami, the classical art of Japanese paper folding, is loaded with mathematical themes and concepts. What are the common folds in origami, and how do they combine to create 3-dimensional structure? Can you classify different types of origami into classes based upon the types of folds they use? Can you show Kawasaki's Theorem, that if you add up the angle measurements of every other angle around a point, the sum… Read more
Math_p032
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Time Required Long (2-4 weeks)
Science Fair Project Idea
Graphical methods of data presentation are a key feature of scientific communication. This project asks the question, "What's the best way to compare the land area of states: a map or a bar graph?" You'll be measuring performance on two different visual discrimination tasks: comparison of areas vs. comparison of position on a common scale. Which method is more accurate? Which method is faster? This project will get you thinking about how to find the best way to communicate scientific… Read more
HumBeh_p012
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Time Required Average (6-10 days)
Prerequisites None
Material Availability Readily available
Cost Low ($20 - $50)
Safety No issues
Science Fair Project Idea
The Falkirk Wheel is a rotating boat lift connecting the Forth and Clyde Canal with the Union Canal near Falkirk in central Scotland. It consists of two diametrically opposed caissons which rotate to lift boats between the two canals through a height of 35 meters. The wheel is always perfectly balanced and, despite its enormous mass, rotates through 180° in less than four minutes, using just 1.5 kilowatt-hours (Wikipedia contributors, 2006). Do background research to find out how much energy… Read more
Energy_p006
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Time Required Long (2-4 weeks)
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