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Others Like “What's the Fastest Way to Solve Rubik's Cube?”

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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- 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
thumbnail Here is a project that combines Computer Science and Mathematics. The semicircle has two tangent lines that meet at point T. You need to prove that a line drawn from A to T bisects CD. 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_p009
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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
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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- Less Details
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
thumbnail The arbelos is the white-shaded region between the three semicircles in the illustration at right. In this project, you'll prove an interesting method for determining the area of the arbelos. Read more
Math_p012
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- Less Details
Time Required Short (2-5 days)
Prerequisites Must understand the concept and method of a mathematical proof
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Project Idea
thumbnail This a straightforward, but interesting, project in geometry. It is a good first proof to try on your own. You should be able to figure it out by yourself, and you'll gain insight into a basic property of circles. Read more
Math_p010
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- Less Details
Time Required Very Short (≤ 1 day)
Prerequisites Must understand the concept of a mathematical proof
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
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
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 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 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
+ More Details
- Less Details
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
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