At first, I decided on how to solve a Rubik's Cube mathematically, but I can't even solve the dang thing! I'm not sure if I an change my topic but why not give it a try? Please help me choose on what to do for science fair project. I want to impress people, but I can't even decide on what to choose. I like sudoku, chess, checkers, calculus, computers, robots (even though I've never built one yet), and engineering stuff. I really need help on deciding a project. All the things at want to do, just seems out of my reach. My scientific level is low but my mathematical way of thinking is high. Anyways, thanks.
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You could do:
-The math behind logic problems (google introduction to theoretical logic, maybe)
-If you like geometry, there are a lot of classical geometry problems that have a lot of history. For example, Gauss' straightedge problems. That's a really nice result and one you could demonstrate nicely.
-tessellations (start with wikipedia; lots of geometry there)
-For some calculus based projects, if you've seen sequences and series you could do some more work on what it means for sequences to converge
- Using calculus to prove various volume formulas
- Using calculus to compute something difficult- is there a strangely shaped building where you live, does the courthouse have a dome? Are the blueprints public record- find the volume of the building.
-If you can program, write a game or a simulation of something. If you can't, try to find a free download that will let you- starlogo-t is a visually based programming language
-Do a project on the 4-color theorem
-Game theory is a particularly fun branch of mathematics. Look in Dynamic Non-Cooperative Game Theory (looks like it's available on google books) for some easier examples.
-Knot theory is also fun. Try http://www.oglethorpe.edu/faculty/~j_nar…
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-The math behind logic problems (google introduction to theoretical logic, maybe)
-If you like geometry, there are a lot of classical geometry problems that have a lot of history. For example, Gauss' straightedge problems. That's a really nice result and one you could demonstrate nicely.
-tessellations (start with wikipedia; lots of geometry there)
-For some calculus based projects, if you've seen sequences and series you could do some more work on what it means for sequences to converge
- Using calculus to prove various volume formulas
- Using calculus to compute something difficult- is there a strangely shaped building where you live, does the courthouse have a dome? Are the blueprints public record- find the volume of the building.
-If you can program, write a game or a simulation of something. If you can't, try to find a free download that will let you- starlogo-t is a visually based programming language
-Do a project on the 4-color theorem
-Game theory is a particularly fun branch of mathematics. Look in Dynamic Non-Cooperative Game Theory (looks like it's available on google books) for some easier examples.
-Knot theory is also fun. Try http://www.oglethorpe.edu/faculty/~j_nar…
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