Browse real student projects, abstracts, and awards.
ISEF · 2022
Mathematics Third Award
The Rubik's Cube is the most popular puzzle in the world. Two of its studied aspects are God's Number, the minimum number of turns necessary to solve any state, and the First Law of Cubology…
ISEF · 2022
Mathematics
We strengthen a result of Jones by showing that for any integer P 1, the Lucas sequence {Un} defined by U0 = 0, U1 = 1, Un = P · Un1 + Un2 can be translated by a positive integer K(P) such t…
ISEF · 2022
Mathematics Fourth Award
We begin by presenting an elementary proof of Ramanujan’s identity for odd zeta values. While Ramanujan's identity has been proved quite a few times earlier in the literature; there has been…
ISEF · 2022
Mathematics
Consider assigning students to a set of classes, and classes to a set of students. Each student will attend more than one class, and each class will have more than one student (many-to-many…
ISEF · 2022
Mathematics
Fractal geometry is geometry that describes complex things or phenomena. In this topic, the author summarizes some basic knowledge of fractal geometry, studies the interesting properties of…
ISEF · 2022
Mathematics
Batik is one of Indonesian culture heritage. Currently, the concern and interest of the young generation towards batik is decreasing, so efforts are needed to preserve and find an attractive…
ISEF · 2022
Mathematics Third Award
My research deepens connections between the two seemingly very different mathematical fields of algebraic combinatorics and algebraic geometry. In particular, I focus on the Bruhat order, a…
ISEF · 2022
Mathematics
With over 400 million annual infections ranging over the Americas, Asia, and Africa, dengue fever is classified as the disease most frequently transmitted by mosquitoes. Proper medication fo…
ISEF · 2022
Mathematics Third Award
Dynamical optimal transport is a field in mathematics and computer science involving interpolation between two probability measures. While dynamical optimal transport on continuous domains i…
ISEF · 2022
Mathematics
We face difficulties when solving some algebraic problems (equations, inequalities, systems of inequalities, etc.). Therefore, we investigated the solution of such problems. We have come to…
ISEF · 2022
Mathematics
The aim of this research is to reveal the pattern of Mersenne Primes. Therefore, I focused on revealing the pattern of power residues of 2 modulo a prime. Mersenne Primes tend to break the r…
ISEF · 2022
Mathematics
This study presents the coloring of knot and link diagrams that satisfies certain conditions. For p-colorability, each crossing leads to a linear congruence: therefore a diagram with n cross…
ISEF · 2022
Mathematics
Quantum computing will be the most powerful computing way within 30 years due to the quantum superposition state. Recent studies are mainly focused on the principle or hardware of it, and th…
ISEF · 2022
Mathematics
The perimeter of an ellipse is very difficult to calculate, although it may not seem like it. There are many formulas that approximate the calculation to fairly exact values, but there is no…
ISEF · 2022
Mathematics
Anthracnose, a disease mostly found in various mangos, is caused by a fungus, Colletotrichum gloeosporioides. The infected mangos are usually discarded by farmers. This project studied the r…
ISEF · 2022
Mathematics
This research presents the systematization of patterns in the Gregorian calendar relating the dates and days of the week. After this observation, the Ammer quotient was deduced, in which the…
ISEF · 2022
Mathematics
In my research, I redefined the Hardy- Ramanujan Formula that was created in 1917. This formula is used to depict the numbers of ways any integer can be split up, known as integer partitions…
ISEF · 2022
Mathematics Fourth Award
Estimating the quickest path from A to B is the aim of mapping software such as Google Maps which calculate route times using parameters such as road size, real-time traffic density and hist…
ISEF · 2021
Mathematics
The COVID-19 outbreak has caused a huge demand of masks which can effectively protect people from the virus. However, the raw materials of masks are limited in such a short time. Thus, it be…
ISEF · 2021
Mathematics
The SIR model is one of the simplest examples of a class of mathematical models, called 'compartmental models', that are used to predict the spread of an epidemic. A number of efficient nume…
ISEF · 2021
Mathematics
The Collatz Conjecture and another of similar structure revolving around congruence modulus 3, can be represented as fractals when they are written as holomorphic functions. However, the met…
ISEF · 2021
Mathematics
Covid-19 reports have a substantial impact on the decisions that are made in making sure people are able to continue living their lives. Yet there have been multiple controversies on the acc…
ISEF · 2021
Mathematics
I started since I was intrigued by the by the beautiful derivation of "Buffon's needle" by integrating, and thought that it would be possible to calculate the probability of plane figures su…
ISEF · 2021
Mathematics
The goal of this project is to do fundamental research on Gray codes and develop a new algorithm to determine a Gray code given its corresponding decimal number. A Gray code sequence is a se…
ISEF · 2021
Mathematics First Award
Motivation: Many applications in the medical and engineering fields benefit from identifying topological features in a three-dimensional geometric model. Problem statement: When an object’s…
ISEF · 2021
Mathematics
The asteroid population is incomprehensibly large. Understanding, discovering and tracking asteroids are important to avoid catastrophic events to human civilization. Around one million aste…
ISEF · 2021
Mathematics
Research question: How the quadratic congruence could be solved using methods of modular arithmetic and group theory? Procedures used: An algebraic method for confirming the existence of any…
ISEF · 2021
Mathematics Fourth Award
It is known that each periodic orbit can be assigned to a spatial braid. The goal of the project is to check the hypothesis on the possibility of applying the braid theory to the classificat…
ISEF · 2021
Mathematics Fourth Award
Dacey established a class of simple, finite graphs, called Dacey graphs, which maps bijectively to the set of finite orthomodular posets, posets where the join of orthogonal elements always…
ISEF · 2021
Mathematics Second Award
It is a basic question in contact geometry to classify all non-isotopic tight contact structures on a given 3-manifold. If the manifold has a boundary, this classification is based on the di…