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Others Like “Devising an Algorithm for Solving Rubik's Cube”

Project Idea
thumbnail If you like solving challenging puzzles, this could be a good project for you. In this project you'll learn one method for solving Rubik's Cube. Then you'll do your own background research to find other methods for solving the puzzle. Which method works fastest? Read more
Math_p023
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- Less Details
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
Project Idea
thumbnail This project challenges you to figure out how to make geometric patterns with Rubik's Cube. Leaving your cube in one of these positions makes it much more tempting to pick it up and 'fix' it. Can you figure out how to make a checkerboard, or a cube-within-a-cube? Can you make only the center piece a different color from the rest? Can you figure out how to solve the cube from these positions? Read more
Math_p024
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- Less Details
Time Required Long (2-4 weeks)
Prerequisites To do this project you should enjoy solving puzzles and thinking in three dimensions. This project requires starting with Rubik's Cube in the solved position, so you will need to know how to solve the puzzle in order to do this project.
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Project Idea
One piece of Play-Doh can make many different shapes. Even though you can change the shape by squishing or stretching the Play-Doh, it is still the same size unless you add or take away some of the dough. Try this experiment to test how these changes in size and shape occur in each dimension. Read more
Math_p019
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- Less Details
Time Required Very Short (≤ 1 day)
Prerequisites None
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Project Idea
thumbnail Although fractal images can be intriguingly complex, fractals are more than just pretty pictures. In this project, you'll explore the mathematical properties of the famous Mandelbrot (illustration at right) and Julia sets. You'll learn about how these images are generated, and about the relationship between the Mandelbrot set and the Julia sets. Read more
Math_p013
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Time Required Average (6-10 days)
Prerequisites Good understanding of algebra, excellent computer skills
Material Availability Computer with Internet access required
Cost Very Low (under $20)
Safety No issues
Project Idea
thumbnail Here is a challenging problem for anyone with an interest in geometry. This project requires background research to solve it, but it is an excellent illustration of visual thinking in mathematics. Read more
Math_p011
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- Less Details
Time Required Average (6-10 days)
Prerequisites Good grasp of Euclidean geometry, a firm understanding of how to construct a mathematical proof, determination
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Project Idea
thumbnail Here is a project that combines Computer Science and Mathematics. The two circles are tangent to one another at point A. Their diameters are parallel. Prove that points A, D and F are co-linear. You'll also learn how to create an interactive diagram to illustrate your proof, using an applet that runs in your Web browser. If you like solving problems and thinking logically, you'll like this project. Read more
CompSci_p008
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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 (laptop computer helpful for live demonstration)
Cost Very Low (under $20)
Safety No issues
Project Idea
Did you know that the average child sees 20,000 30-second TV commercials in just one year? That's a lot of encouragement to buy new toys, clothes, entertainment, and food. In this behavioral science fair project, you'll find out some other ways (besides commercials) that marketers use to try and get adults to buy products, like having them touch or hold an item. You'll find out if these methods work with kids, too, and if they increase how much people are willing to pay for a product. It's a… Read more
HumBeh_p045
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- Less Details
Time Required Long (2-4 weeks)
Prerequisites None
Material Availability Readily available
Cost Low ($20 - $50)
Safety No issues
Project Idea
thumbnail Did you know that you can figure out how much sugar is in a liquid without ever tasting it? In this science fair project, you will learn how to measure the concentration of sugar dissolved in a liquid by using a laser pointer, a hollow prism, and some physics. You will discover how refraction, or the bending of light, is the key to measuring the sugar content of a liquid with a laser pointer. Read more
Phys_p028
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Time Required Short (2-5 days)
Prerequisites None
Material Availability Readily available
Cost Average ($40 - $80)
Safety Adult supervision recommended. Even low-power lasers can cause permanent eye damage. Please carefully review and follow the [# ProjectGuide Name="Advanced.LaserSafetyGuide" Value="HtmlAnchor" #].
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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- Less Details
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
Project Idea
thumbnail The ocean is a wondrous force of nature. It affects the weather, and provides us with food and free and renewable energy to power our lives. How can the ocean provide us with free and renewable energy? One way is to extract the energy that is in the waves. There are many kinds of power systems that can be installed to extract energy from the waves, depending on the location. In this energy and power science project, you will build and test a simple model of an oscillating water column device to… Read more
Energy_p037
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- Less Details
Time Required Average (6-10 days)
Prerequisites You should have fairly easy access to the ocean or to a deep body of water. Find a location where the surface of the water is within easy access of a pier, a dock, or a boat slip, and where the water is about 5 feet deep. You could also do this project in a swimming pool.
Material Availability See the Materials and Equipment list for more details.
Cost High ($100 - $150)
Safety Be sure to wear safety equipment, such as safety goggles and gloves, when working with power tools and other equipment. Parental supervision is required.
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