Browse real student projects, abstracts, and awards.
ISEF · 2023
Mathematics
Hampton Roads is located on the east coast of the United States, where it faces the threat of Atlantic Ocean hurricane season. Maximize the evacuation traffic flow is essential when facing s…
ISEF · 2023
Mathematics
In this study, the definition of hypocycloid, the logic of its formation and its types are expressed. Hypocycloid is a curve traced out by a point on a rolling circle as it rolls around insi…
ISEF · 2023
Mathematics Fourth Award
The Bernoulli Quadri-section Problem involves the division of the area of a given triangle into four equal areas, a triangle and three quadrilaterals, using two perpendicular straight lines.…
ISEF · 2023
Mathematics Fourth Award
Allergies affect 220 million people globally, placing a significant population at risk of hypersensitivity, chronic inflammation, and infection. Even for the population that is not affected…
ISEF · 2023
Mathematics
Cryptocurrency is a digital financial asset that has gained exorbitant traction in recent years. Since the global financial crisis period, traditional safe-haven investments have lost their…
ISEF · 2023
Mathematics
The purpose of this study is to develop a tool to organize graphs utilizing Hooke’s law, and to assess its abilities in terms of the organization of graphs. Graphs that satisfy certain condi…
ISEF · 2023
Mathematics
My research looks at a self-similar triangular fractal known as the Sierpinski Gasket through the perspective of graph theory, by replacing intersections of line segments in the fractal with…
ISEF · 2023
Mathematics Fourth Award
We investigate a special variant of chip-firing, in which we consider an infinite set of rooms on a number line, some of which are occupied by violinists. In a move, we take two violinists i…
ISEF · 2023
Mathematics
The project differs not only from the scientific side, but also from the social broadcasting point of view. The number e is widely used in mathematics. I have researched all possible context…
ISEF · 2023
Mathematics
Collatz Conjecture was created in the 1930s by Lothar Collatz and has perplexed mathematicians for almost a century. The Collatz problem is an iteration of n/2, when n is even, and 3x+1, whe…
ISEF · 2023
Mathematics
Systems of polynomial equations are of fundamental importance to mathematics, and have been applied to numerous areas, including physical problems, chemical reactions, robotics, communicatio…
ISEF · 2023
Mathematics
Distance-based indices on graphs are of interest to chemical graph theorists for their connections to the chemical properties of molecules. In this paper, I study several extremal properties…
ISEF · 2023
Mathematics Second Award
Environmental damage is an ever-present issue for our generation, especially in the supply chain, which has suffered heavily since the beginning of 2020. Large amounts of packaging materials…
ISEF · 2023
Mathematics
This research proposes to approach forecasting using classes defined by a fractal scheme. In time series analysis, forecasting is understood as generating a prediction based on known previou…
ISEF · 2023
Mathematics
The relationship between atomicity and ACCP, two properties measuring the way elements factor in integral domains, is central to abstract factorization theory. It is known that all integral…
ISEF · 2023
Mathematics Third Award
Quantum computing is revolutionizing cryptography, as it will render the classical digital signature schemes such as Bitcoin's ECDSA (Elliptic Curve Digital Signature Algorithm) insecure. Th…
ISEF · 2023
Mathematics
Pancreatic metastatic cancer prompts the aggressive emergence of a subsect of cancer cells known as Poly-aneuploid Cancer Cells (PACCs) which sustain a state of dormancy called quiescence wh…
ISEF · 2023
Mathematics
Benford’s Law is a mathematical law that dictates the percentages of the appearances of initial digits 1-9 in a naturally occurring data set with no limits. This experiment tested to see if…
ISEF · 2023
Mathematics
Domino tiling problem for (m, n)-grid was solved by Kasteleyn, Temperley and Fisher in 1961. L-tromino is a 2x2 rectangle without one cell. We consider the L-tromino tilings problem for (m,n…
ISEF · 2023
Mathematics
Various investigations propose a misconception of algebra, leading students to resolve problems in a deficient and careless way. Algebraic exercises constitute the basis for problem solving,…
ISEF · 2023
Mathematics
For centuries, prime factorization has been a fundamental theoretical problem in the mathematical world. Conventionally, the algorithms for prime number factorization demand a computational…
ISEF · 2023
Mathematics
Computing the Frobenius number for numerical semigroups with more than three generators is a famous unsolved problem in number theory and computational complexity. Given a numerical semigrou…
ISEF · 2023
Mathematics
Fractals and knots are intriguing mathematical objects with similar applications and visual appeal, yet there have been very few reports on combining the two. In this project, an algorithmic…
ISEF · 2023
Mathematics Third Award
This study was motivated by a trance in my bathroom, looking at puddles on the ground, and imagining a curved mirror in mid-air. Then, emit a light beam to the curved mirror, in what circums…
ISEF · 2023
Mathematics
It is known that there are countably many non-integers a > 1 which possess the property that ?a^n? is not a prime for all integers n = 1. There are however very few known explicit examples o…
ISEF · 2023
Mathematics
This project explores the application of complex analysis techniques for solving combinatorial problems, particularly in the context of an enumeration problem in the theory of regular langua…
ISEF · 2023
Mathematics Third Award
Quantum computing is a rapidly growing field that applies quantum mechanics to computer science and its algorithms, and it has many applications, including optimization problems, where the g…
ISEF · 2023
Mathematics Fourth Award
Linear Delta robots (LDRs) are a relatively new subset of parallel robots, used in some 3D printing and manufacturing applications due to their rigidity and speed. However, there are just tw…
ISEF · 2023
Mathematics
A fundamental study in the field of quantum algebra is the study of fusion categories, which generalize finite groups and their representation categories. They also yield the structures of t…
ISEF · 2023
Mathematics
A zigzag chord is a broken line with vertices on the circle and connecting in a zigzag way, and any two adjacent segments form a fixed certain angle. The initial observation of this project…