Browse real student projects, abstracts, and awards.
ISEF · 2017
Mathematics Fourth Award
The chromatic number of the n-dimensional Euclidean space is the minimum number of colors with which the entire space can be colored so that every two points one unit apart have different co…
ISEF · 2017
Mathematics
Capillary floating problem in physics concerns the equilibrium positions of floating bodies whose positions and orientations are governed by capillary forces. It plays an important role in m…
ISEF · 2017
Mathematics
The purpose of this paper is to introduce the reader several unusual areas of mathematics that not many people are aware of. The principles of Latin squares, projective and affine planes can…
ISEF · 2017
Mathematics
Western music is based on two concepts – Harmony, which is the simultaneous sounding of multiple notes (chords), and Voice Leading, which is the temporal motion of these notes (voices). The…
ISEF · 2017
Mathematics
A Method for Analyzing Basketball Teams started as an attempt to use statistics to analyze our team's offense. Eventually it grew into a data collection and analysis software. There are thre…
ISEF · 2017
Mathematics
The problem of points is a historical problem confronted by many mathematicians throughout history. It presents an interrupted series of games and asks the question of how the probabilities…
ISEF · 2017
Mathematics
The internet’s expansion has increased the data available to researchers, allowing analysis to make insights into human behavior. This project statistically analyzes trends in computer scien…
ISEF · 2017
Mathematics
The Collatz conjecture is an unproven conjecture in mathematics; any initial input to the Collatz sequence will give an eventual output of one. The importance of proving the conjecture is du…
ISEF · 2017
Mathematics
This project aims at challenging the underlying conjectures in many modern encryption systems. The problem of integer factorization, and its associated difficulty is solving, is essential to…
ISEF · 2017
Mathematics
In the futuristic dystopia, The Minority Report starring Tom Cruise, the police would be at the crime scene before it occurred. Is this really possible? My project uses data science and mach…
ISEF · 2017
Mathematics
Patients with end-stage renal disease may receive a kidney transplant from a deceased or living donor. However, kidney transplants are time-sensitive and not all kidneys have the same expect…
ISEF · 2017
Mathematics
The method exposes an approximation of the zeros of any differentiable function. The functions in which the method is fulfilled are the logarithmic, exponential, algebraic, and trigonometric…
ISEF · 2017
Mathematics
This project investigates the phenomena modeled by Benford’s law. Our experimentation aims to observe the credibility of Benford’s law at multiple sample sizes, by testing the use of it with…
ISEF · 2017
Mathematics
North Dakota has experienced population changes in the past decades from oil production as well as Red Fiver floods of 1997 and 2011, Minot flood of 2009 and a small oil boom in the early 19…
ISEF · 2017
Mathematics
In the current research, we consider tilings with T-tetromino and stepwise n^2-omino (figures, constructed by unit squares) and their connection to chain graphs. Also, we examine tilings wit…
ISEF · 2017
Mathematics Second Award
The concept of metric dimension has applications in a variety of fields, such as chemistry, robotic navigation, and combinatorial optimization. Three bounds on the metric dimensions for diff…
ISEF · 2017
Mathematics
Problems involving arithmetic progressions are of interest in number theory, combinatorics, and computer science, from both theoretical and applied points of view. In 2004, Ben Green and Ter…
ISEF · 2017
Mathematics
The study depicts the mapping of the triangle on the cylindrical surface, i.e. the cylindrical deformation of the triangle. The described mapping is characterized by a curious geometric prop…
ISEF · 2017
Mathematics
Egyptian Fractions can be defined as the series of distinct unit fractions that can be summed to equal a proper fraction. Any fraction can be expressed in this way, and the Egyptians had a m…
ISEF · 2017
Mathematics
Objective: To create a mathematical model which, when applied to a Major League Baseball hitter’s pitch-by-pitch data and a pitcher’s pitch selection, returns the optimal pitch selection giv…
ISEF · 2017
Mathematics Second Award
In this project, Ricci flow and normalized Ricci flow were studied in a discrete 3-dimensional setting, where the manifold of interest is the boundary of a 4-simplex. This manifold is the di…
ISEF · 2017
Mathematics Third Award
Purpose: Given a prime p and polynomial f, how many pairs (x,y) are there such that y^a-x^b*f(x) is a multiple of p? Equivalently, how many rational points lie on a superelliptic curve? Answ…
ISEF · 2017
Mathematics
Our purpose is to produce high security encryption algorithms by using the irregularity of decimal expansions. Different from other methods, we make use of the irregularity of irrational num…
ISEF · 2017
Mathematics Fourth Award
The theory of Lie groups and algebras is an important and developing part of mathematics. Lie groups and algebras occur in different areas of science such as quantum physics, mathematical ge…
ISEF · 2017
Mathematics Fourth Award
Problem of Apollonius is a famous geometric problem. Apollonius of Perga posed it in the 3d century BC. The statement of the problem: construct (by straightedge and compass) a circle that is…
ISEF · 2017
Mathematics
We address n-sided dice whose face values lie between 1 and n and whose faces sum to n(n+1)/2. We tackle the problem of generating n-sided dice by developing an algorithm to generate the int…
ISEF · 2017
Mathematics
While studying the Second row (the second degree equation) surfaces with the method of coordinates we have noticed that in the Canonical system while we were cutting the surface with paralle…
ISEF · 2017
Mathematics
Millennium Problems are problems in mathematics that were stated by the Clay Mathematics Institute in 2000. One of these problems is related to the complexity of algorithms. The set of algor…
ISEF · 2017
Mathematics
In the modern age, public-key cryptography has become a vital component for secure online communication. To implement these cryptosystems, rapid primality testing is necessary in order to ge…
ISEF · 2017
Mathematics
Faked company payments and fraudulent schemes such as Ponzi schemes steal over $3.7 trillion from innocent consumers every year, with auditing methods significantly lagging behind the increa…