Search past science fair projects

Investigating the Visual Information Degradation in Adverse Weather

Mathematical Sciences First Award

Linear Group of Seventh Chord Transformations

Mathematics Fourth Award

Seventh chords are widely used in music. What are the relationships between different seventh chords? Can these relationships be explained mathematically? This research classifies transforma…

New Method to Estimate the Square Roots of a Non-Perfect Square

Mathematics

In light of the tremendous scientific development, Algebra between science and sustainability has become one of the most important requirements, and in this study, which aims to Estimate the…

On an Approximation of Divisor Sum Functions With Bernoulli Polynomials and the Hardy Littlewood Function

Mathematics

Is a Bessel representation of exponential sums corresponding to divisors obtainable, and if so, viable? In an original expression I derived relating the divisor functions at individual point…

On the Construction and Applications of Infinite-Dimensional Lie Algebra Weight Systems in the Theory of Vassiliev Invariants

Mathematics Fourth Award

We explore knots. If we allow self-intersections, we get Singular knots. To distinguish different knots, invariant functions are used. A function from the set of knots to a ring is called a…

Optimization of Group Division Method for Rock-Paper-Scissors Game Considering Efficiency and Fairness

Mathematics

When many participants are involved, rock-paper-scissors tournaments can take numerous matches to complete. Prior studies attempted to reduce the number of matches by appropriately distribut…

P-Adic Analysis of Elliptic Curves: Exploring the Relationship Between P-Adic Curve Theory and Ellipse Geometry

Mathematics

The intersection of p-adic curve theory and ellipse geometry constitutes a field of geometric research. The relevance of elliptic curves is based on the proof of Fermat's last theorem. Geome…

PandaTyping: An Effortless Chinese Typing Methodology Directly Using English

Mathematical Sciences Fourth Award

PhysioRise: Utilizing Machine Learning to Guide Users Through Effective Warm-Up Sessions to Avoid Sports-Related Injuries

Mathematical Sciences Third Award

Predicting the Unpredictable: A Novel Mathematical Model to Analyze and Accurately Predict Multiple Sclerosis Patient Outcomes

Mathematics Third Award

Multiple Sclerosis (MS), an autoimmune disease affecting millions worldwide, is characterized by its unpredictable course. Mathematics as a tool for predicting MS outcomes and identifying fa…

Resistors, Fractals and, Infinity - Developing and Exploring Methods for Calculating the Equivalent Resistance of Infinite Networks of Resistors

Mathematics

In this project the intricacies of continued fractions are explored by extending them (through use of recursion) to infinity whilst applying them to the context of repeating arrangements of…

Simulation of Armed Conflict Using Unmanned Aerial Vehicles (UAVs) in Ground Combat Operations

Mathematics

The modern world is on the threshold of a technological revolution in warfare, which requires a rethinking of the simulation of combat operations, considering the increasingly important role…

Slice Rank Polynomial Method and Avoidance of Triangles in Fields

Mathematics

We introduce the slice rank polynomial method with its origins from the Cap Set problem and focus on two applications. We look into colorings of R^n with no more than 2^O(n) monochromatic eq…

Solving High-Degree Equations Using Modern Technology

Mathematics

Math helps us in solving physical, biological, chemical and everyday problems which require the use of high degree polynomial equations. Unfortunately, solving these types of equations is no…

Symmetry, Fixed Points and Quantum Billiards: A Confluence of Ideas

Mathematics First Award

A mathematical billiard system is one composed of a planar or multidimensional surface and a moving object whose trajectory is defined by its initial position and speed vector, along with so…

The Classification and the Hilbert Polynomials of the Coloring of Quandles With Size 6

Mathematics

Knot theory, counting a knot invariant for a knot L has been long studied. Using an algebraic structure called quandle, we calculate the knot invariant, in other words coloring of the knot.…

The Perforation of p-adics: Closing a Gap in Hensel's Lemma Through the Convergence Inequality

Mathematics Fourth Award

Hensel’s Lemma is the foundation of p-adic number theory and, as discovered in this study, a possible way to revolutionize the math behind elliptic curve cryptography. It works by lifting a…

Twisted Homogeneous Racks Over the Alternating Groups

Mathematics Fourth Award

An important step towards the classification of finite-dimensional pointed Hopf algebras, which are algebraic structures with a wide range of fundamental applications to mathematics and phys…

Virtually Reconstructing an Ancient Musical Instrument

Mathematics Third Award

This project aims to help restore ancient Greek musical tradition and, thus, give us a better understanding of Greek culture by digitally reconstructing the chelys, a tortoise-shell lyre ove…

A Better Understanding of Water Consumption Using Machine Learning

Mathematical Sciences (Junior Division)

Water is becoming more and more limited over the years. With the human population growing drastically, water crises becoming more frequent and dangerous, and the increasing scarcity of water…

A Computational Epidemiological Review of Socioeconomic Disparities as Risk Factors for Lung Disease Across Texas Counties

Mathematics

Certain environmental, social, and genetic factors related to socioeconomic status can significantly impact a person's health. The purpose of this experiment is to analyze how air quality, e…

A Group-Theoretic Generalization of Pythagoras' Theorem

Mathematics

Pythagoras’ theorem is a foundational theorem in geometry, with many far-reaching implications in other fields. There are many proofs of Pythagoras' theorem - from geometry, trigonometry or…

A Logistic Regression Model Representing the Genetic Landscape Differences Between Bipolar Disorder 1 and Bipolar Disorder 2

Mathematics

Bipolar Disorder is a mental health condition characterized by its traits of mood swings/manic episodes. It consists of two varieties, Bipolar One and Bipolar Two, One displaying full Manic…

A Mathematical Model for Traffic Flow Risk Management Applied to Hampton Roads Emergency Evacuation

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…

Analysis of Hypocycloid Formation Processes From Different Perspectives and Polygonal Structures Seen in Trace Curves

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…

A New Method of Solving the Bernoulli Quadrisection Problem and Its Application to Other Problems in Euclidean Geometry

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.…

Application of Michaelis-Menten Rational Function Models, Parametric Calculations, and Differential Equations to Determine the Most Influential Factor on Histamine Levels

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…

Correlations in Cryptocurrencies: A Comparative Safe-Haven Analysis

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…

Creating and Assessing a Tool to Organize Graphs Using Hooke's Law

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…

Cycle Spaces of Friends-and-Strangers Graphs

Mathematical Sciences First Award

Flip graphs are graphs of combinatorial objects, where 2 adjacent objects are related through a local change, or a flip. In my work, I studied friends-and-strangers (FS) graphs, an abstract…