|
|
||||
|
|
||||
|
Crank 0 Partitions and the Parity of the Partition Function
R
Determine if a formula can be derived to find the number iterations it takes to reach zero or the Kaprekar Constant (6174) without going through the Kaprekar Routine. R The Random Fibonacci Sequence R Discover a method to multiply two numbers represented by the same quadratic form. R Efficient True Random Number Generation R Examine the correlation between the Fibonacci sequence and the spiral phyllotaxis, or leaf arrangement, of various plants occurring in nature. R Test three random number generators (functions in Excel, C++, and Java) and evaluated the results using chi-square values from each experiment to determine which program was most likely to generate unbiased random numbers. R Prove if Benford's Law applies to randomly generated numbers, and not just to numbers occuring from natural data sets. R Experimental Verification of the Prime Number Theorem R Build a binary marble adding machine R What is a prime number? S The Efficiency of Prime-Testing Algorithms R Pascal like Triangle, Sierpinski like Gaskets and Fibonacci like Sequences. S A Mathematical Proof of a Relationship between Fibonacci and Lucas Numbers R Pseudo-Random Numbers R How to find perfect numbers. R Is there a general divisibility rule, or pattern, that applies to any number? R Observe the occurrences of Fibonacci numbers, sequences, the Fibonacci ratio, and the Fibonacci spiral in nature. R Develope a circle map that represents the Collatz transformation and investigates its properties to make progress in proving the Collatz conjecture. R Find out if there is a number that will disprove Goldbachs Conjecture R What patterns are formed when number sequences are translated into different base systems and interpreted in base-10? R Inverse Symmetry Pattern in the Multiplication Table R
Pi Science Fair Projects |
|
|
|
|
|
Science Fair Projects Resources
R
Mathematics Resources R Citation Guides, Style Manuals, Reference R |
