Science Fair Project Idea

You may know Lewis Carroll as the author of Alice in Wonderland, but did you know that in real life he was a mathematician who studied symbolic logic and logical reasoning? How can math help you solve Lewis Carroll's Logic Game? (Bogomolny, 2006) How are algorithms for solving the game Sudoku similar to solving a logic problem? (Hayes, 2006) For the superadvanced mathematical genius, try to evaluate currently available, logicbased computational tools, or design a better one!…
Read more

Math_p035
+ More Details
 Less Details
Time Required 
Average (610 days) 
Prerequisites 

Material Availability 

Cost 

Safety 

Science Fair Project Idea

What do knots, maps, mazes, driving directions, and doughnuts have in common? The answer is topology, a branch of mathematics that studies the spatial properties and connections of an object. Topology has sometimes been called rubbersheet geometry because it does not distinguish between a circle and a square (a circle made out of a rubber band can be stretched into a square) but does distinguish between a circle and a figure eight (you cannot stretch a figure eight into a circle without…
Read more

Math_p030
+ More Details
 Less Details
Time Required 
Average (610 days) 
Prerequisites 

Material Availability 

Cost 

Safety 

Science Fair Project Idea

Many industries rely on scale models to develop new products and designs. Architects, industrial designers, artists, clothing designers, and car manufacturers all use scale models. Each model is built to a scale that relates the actual object to the model through a ratio. Can you determine a formula for constructing a scale model? You can use your formula to make a model of your house, school, neighborhood, or town (CUBE, 2002). You can make scale models of the Wright Brothers aircraft…
Read more

Math_p028
+ More Details
 Less Details
Time Required 
Average (610 days) 
Prerequisites 

Material Availability 

Cost 

Safety 

Science Fair Project Idea

Sudoku puzzles have become extremely popular over the past couple of years. You can find books of puzzles for beginners to experts, and many newspapers print Sudoku puzzles daily. This project challenges you to write a computer program to check if your Sudoku solution is correct.
Read more

CompSci_p023
+ More Details
Science Fair Project Idea

How do you turn a 2dimensional piece of paper into a 3dimensional 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 3dimensional 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
+ More Details
 Less Details
Time Required 
Long (24 weeks) 
Prerequisites 

Material Availability 

Cost 

Safety 

Science Fair Project Idea

Almost all of the games we play are based on math in some way or another. Card games, board games, and computer games are designed using statistics, probabilities, and algorithms. Begin by reading about games and game theory. Then you can choose your favorite game and investigate the mathematical principles behind how it works. Can combinatorial game theory help you to win twoplayer games of perfect knowledge such as go, chess, or checkers? (Weisstein, 2006; Watkins, 2004) In a multiplayer…
Read more

Math_p033
+ More Details
 Less Details
Time Required 
Average (610 days) 
Prerequisites 

Material Availability 

Cost 

Safety 

Science Fair Project Idea

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.
Figure 1 below shows a semicircle (AE, in red) with a series of smaller semicircles (AB, BC, CD, DE, in blue) constructed inside it. As you can see, the sum of the diameters of the four smaller semicircles is equal to the diameter of the large semicircle. The area of the larger…
Read more

Math_p010
+ More Details
 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 
Science Fair Project Idea

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.
Figure 1 below shows a series of circles (iC₁, iC₂, iC₃, ..., iC₃₀), inscribed inside an arbelos. What is an arbelos? The arbelos is the white region in the figure, bounded by three semicircles. The diameters of the three semicircles are all on the same line segment, AC,…
Read more

Math_p011
+ More Details
 Less Details
Time Required 
Average (610 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 
Science Fair Project Idea

A fractal is, "a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced/size copy of the whole" (Mandelbrot, 1982). There are many different fractal patterns, each with unique properties and typically named after the mathematician who discovered it. A fractal increases in complexity as it is generated through repeated sets of numbers called iterations. There are many interesting projects exploring fractal geometry that go beyond…
Read more

Math_p031
+ More Details
 Less Details
Time Required 
Long (24 weeks) 
Prerequisites 

Material Availability 

Cost 

Safety 

Science Fair Project Idea

Did you know that in addition to the Sun and planets, our solar system is filled with millions of asteroids, which are chunks of rock left over from the early days of its formation, or from collisions between larger objects like planets? Agencies like NASA track asteroids, not only because they might pose a threat to humanity by colliding with Earth, but because they can provide us with information about the history of our solar system, and even be useful for mining raw materials in space! In…
Read more

Astro_p039
+ More Details
 Less Details
Time Required 
Short (25 days) 
Prerequisites 
In order to do this science project, you should either already have knowledge of basic statistical analysis (histograms and scatter plots) or have a willingness to familiarize yourself with them. 
Material Availability 
This science project requires a computer with internet access and a spreadsheet program like Microsoft® Excel® or OpenOffice™ Calc. 
Cost 
Very Low (under $20) 
Safety 
No issues 

Support for Science Buddies provided by:
Search Refinements
