38,465 real projects from ISEF, the Canada-Wide Science Fair, JSHS, AJAS, the Calgary Youth Science Fair and the California Science & Engineering Fair — searchable by meaning, and filterable by fair, year, category and award.
ISEF · 2020
Mathematics
Finite group actions on closed orientable surfaces via homomorphisms is a widely studied topic in group theory and low dimensional topology. It is closely related to symmetries of surfaces a…
ISEF · 2020
Mathematics
In modern world due to pollution and other reasons people started to look for a planet which can replace Earth. I started to research about it aswell. I have worked on planet Kepler 452b whi…
ISEF · 2020
Mathematics
Graphs are defined as a set of vertices and a set of edges consisting of unordered pairs of vertices. They can be used to model many real-world structures, systems and especially networks. T…
ISEF · 2020
Mathematics
A Gray Code sequence is a set of 2^n binary numbers in which only one bit changes between two consecutive elements and this property helps in reducing errors in data transmission in hardware…
ISEF · 2020
Mathematics
In our project, we create a virtual GeoMir, the inhabitants of which are polyhedrons, as well as virtual organisms, which we called ?-rodents. ?-rodents are able to build straight lines, as…
ISEF · 2020
Mathematics
Primes are the building blocks of composite numbers. One day I gifted a mathematical property of the birthdate (9) of one my friend as a birthday present, I observed a unique and interesting…
ISEF · 2020
Mathematics
We Wanted tot determine hoe many tries it would take for probability to be accurate. To determine this we used a full deck of playing cards without the two jokers; so a total of 52 cards. We…
ISEF · 2020
Mathematics
We propose a generalization of Artin's conjecture on primitive roots to the ring Z[i] of Gaussian integers. We conjecture that for a fixed positive integer q, every non-zero Gaussian integer…
ISEF · 2020
Mathematics
The problem of finding the largest pi/2-avoiding spherical set first appeared in the AMS monthly journal in 1974. H. S. Witsenhausen asked readers to determine alpha(n)=(|U|)/(|S^(n-1) |), w…
ISEF · 2020
Mathematics
In this paper, I consider the possibility of using graph theory to study alternating knots and links, which we will simply call knots in what follows. Alternating knot can be built from arbi…
ISEF · 2020
Mathematics
Optimization plays an essential role not only in mathematics, but in many related fields such as biology, robotics or transport. This particular research focuses on finding an optimal planar…
ISEF · 2020
Mathematics
Mathematicians have been known to use logic and intuition to prove mathematical concepts. In modern day mathematics, applications have widely expanded into modern technology. The need for mo…
ISEF · 2020
Mathematics
Determining the quickest network route from point A to point B is a common introductory Graph Theory or Combinatorics activity and algorithms such as Dijkstra’s algorithm are effective tools…
ISEF · 2020
Mathematics
In this paper, we investigate the generalized tent maps, whose vertex, left endpoint and right endpoint are (a, b), (0, s) and (1,c) respectively, where 0<a<1, 0<b<=1,0<=<1 and 0<=s<1. Accor…
ISEF · 2020
Mathematics
To apply the method of inversive generation in order to conclude and prove new properties of a strophoid. And also to find connection of a strophoid with other remarkable curves. Hypothesis:…
ISEF · 2020
Mathematics
A wonderful fact called Thurston's geometrization conjecture states that there are essentially only eight three-dimensional geometries. For the last 20 years, there are lots of attempts to d…
ISEF · 2020
Mathematics
Knowledge of small-scale interactions within a group tells us something about the group big-scale interactions. Commonly, one uses graphs to mathematically model and analyze such relationshi…
ISEF · 2020
Mathematics
In our work, we studied closed lattice bands of unit squares in the n×n×n lattice cubes. We wrote a computer program to find all such bands in the 2×2×2 lattice cube. We were able to identif…
ISEF · 2020
Mathematics
In 2011, Anderson and Frazier introduced the theory of generalized factorizations in integral domains, which is based on studying restrictions of the multiplicative operation of an integral…
ISEF · 2020
Mathematics
In recent years social media has evolved from something that helps you keep in touch with relatives or friends to a driving influencer of all parts of life, politics included. Since its firs…
ISEF · 2020
Mathematics
The purpose of this project was to calculate how often each "space” is landed on while playing Monopoly. This would allow me to better my chances of winning each game. The project had three…
ISEF · 2019
Mathematics
Attention deficit is always a confusing disease: the exact causes of this disorder is still unclear. However, the prevalent idea is that genetics is a major factor of ADHD. Based on that ide…
ISEF · 2019
Mathematics
The purpose of this investigation is to identify patterns, if any exist, among primitive Pythagorean triples so that a triple, given an initial value, can be found. Specifically, the researc…
ISEF · 2019
Mathematics
Many functions do not have elementary antiderivatives and different analytical methods to evaluate the definite integral fail. These functions appear in fields such as biology, physics and e…
ISEF · 2019
Mathematics
One-dimensional cellular automata have been studied by looking at morphisms and properties of growth; however, no proof or demonstration has been made to explain these conjectured patterns a…
ISEF · 2019
Mathematics
Divisibility rules which are used to detect divisibility of numbers are memorable and practical rules and methods which are different for each number. A new study has been conducted to impro…
CSEF · 2019
Mathematical Sciences Second Award
Objectives Partial differential equations (PDEs) are used in physics to mathematically describe the workings of the universe. Using computers to solve these equations allows scientists and e…
CSEF · 2019
Mathematical Sciences
Objectives When the path of an object is described by the vector equation in the form of r(u,v,w...)=<f(u,v,w...),g(u,v, w...),h(u,v,w...)>, the expression ((d^n)r)/(d(p^n)), where p is a va…
ISEF · 2019
Mathematics
How is it possible to calculate the direction of the reflection of an arbitrary ray of light off of a surface existing in any number of dimensions without the use of trigonometry? This proje…
ISEF · 2019
Mathematics
The purpose of my research and project is to create a dynamical comprehensive mathematical model that represents the flow of non-Newtonian polymeric fluids through a pipe. For industries fro…