Home Project Ideas Project Guide Ask An Expert Blog Careers Teachers Parents Students

Others Like “Fractals”

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
+ More Details
- Less Details
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
Music has many mathematical elements in it: rhythm, pitch, scale, frequency, interval, and ratio. There are many ways to turn these elements into a science fair project. You can investigate how the scale is based upon a special type of number sequence called a Harmonic Series. Another scale used by Bach, called the "Well-Tempered-Scale" or the "Equal-Tempered-Scale", is based upon a series. How are these mathematical series and ratios related to notes, chords, intervals, and octaves? You can… Read more
Math_p034
+ More Details
- Less Details
Time Required Average (6-10 days)
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 two-player games of perfect knowledge such as go, chess, or checkers? (Weisstein, 2006; Watkins, 2004) In a multi-player… Read more
Math_p033
+ More Details
- Less Details
Time Required Average (6-10 days)
Project Idea
How do you turn a 2-dimentional piece of paper into a 3-dimentional 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-dimentional 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 (2-4 weeks)
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 super-advanced mathematical genius, try to evaluate currently available, logic-based computational tools, or design a better one!… Read more
Math_p035
+ More Details
- Less Details
Time Required Average (6-10 days)
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
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
+ More Details
- Less Details
Time Required Average (6-10 days)
Project Idea
The Game of Life is the invention of the mathematician John Conway. It is a cellular automaton, consisting of a grid of squares that turn "on" or "off" depending on simple mathematical rules that involve neighboring squares. Depending on how the grid is first set up (i.e., the initial conditions), various interesting patterns appear. Can you write a Game of Life program (in JavaScript or any other computer language of your choice)? Can you think of ways to alter the rules that result in… Read more
CompSci_p030
+ More Details
- Less Details
Time Required Average (6-10 days)
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 rubber-sheet 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 (6-10 days)
Project Idea
Math is used by many different types of scientists to model phenomenon and evaluate data from an experiment. By building mathematical models scientists can understand how different physical, chemical, and biological processes are affected by different variables. The most important tools are: making a graph to give a visual representation of the relationships between your variables and making an equation to give a way of computing the relationships between your variables. Find a source of data,… Read more
Math_p029
+ More Details
- Less Details
Time Required Long (2-4 weeks)
1 2 >
Support for Science Buddies provided by:
Search Refinements
Areas of Science
Behavioral & Social Science
Earth & Environmental Science
Engineering
Life Science
Math & Computer Science
Physical Science
Difficulty
 
Cost
Time
Material Availability