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 · 2017
Mathematics Second Award
Number theory is a field where you study integers and the way they relate to each other. We look at a section of number theory called multiplicative functions. These functions act as machine…
ISEF · 2017
Mathematics
This paper provides a generalization of the Calkin-Wilf tree. The Calkin-Wilf tree is an infinite binary tree in which all nodes are labeled by reduced positive rationals and each reduced po…
CSEF · 2017
Mathematical Sciences
Objectives/Goals Teaching a computer to learn to classify handwritten letters requires a complex computing model capable of learning the structure of letters rather than simply following a s…
CSEF · 2017
Mathematical Sciences
Objectives/Goals Traditional node-link diagrams for visualizing networks do not scale as networks become larger and are nicknamed "hairballs". To address the need for the visualization of la…
ISEF · 2017
Mathematics
In the digital age, more and more data needs to be transmitted securely, making cryptographic functions increasingly important. At the basis of all cryptographic functions is a pseudo-random…
ISEF · 2017
Mathematics Fourth Award
We study the distortion of an optimal embedding of a perfect binary tree into a Euclidean space with a fixed number of dimensions. The distortion is a characteristic of the embedding, descri…
ISEF · 2017
Mathematics
It is a fundamental problem to find a good criterion to decide whether a system of polynomial equations has a solution. Hilbert Zero Point Theorem says that for two polynomials f(x,y) and g(…
CSEF · 2017
Mathematical Sciences
Objectives/Goals The objective of this experiment was to test what effect popularity would have on the results of real-world games, as popularity is an indirect factor in an opening's succes…
ISEF · 2017
Mathematics
Mersenne Primes are prime numbers of the form 2^p-1 where p is prime. These numbers have been studied for over 2,000 years and continue to mesmerize mathematicians today with a number of uns…
ISEF · 2017
Mathematics Third Award
This work deals with an open question in math with direct implications to spectral theory and to mathematical physics. A measure describes the distribution of mass over a general set. Given…
ISEF · 2017
Mathematics
Polygon Triangulation problem is one of the problem in combinatorial mathematics. The problem is that, in how many ways can a convex polygon with n+2 sides (labelled 0,1,2,…,n) be divided in…
ISEF · 2017
Mathematics
The field of Diophantine approximation is a branch of number theory which concerns itself with certain properties of real numbers in relation to the rational numbers. In specific, one may de…
ISEF · 2017
Mathematics
The purpose of this project was to determine if an algorithm could be used to quantitatively analyze paintings. It was hypothesized that there would be a significant difference between the p…
ISEF · 2017
Mathematics Fourth Award
In an era of rapid growth in information technology, a significant danger threatens digital security: cyber-attacks. Public-key cryptosystems are used to overcome virtual vulnerabilities. Th…
CSEF · 2017
Mathematical Sciences
Objectives/Goals If compared against the 3 other most commonly used shuffling methods, the Block shuffle will produce the most random arrangement of cards. Methods/Materials Materials used i…
CSEF · 2017
Mathematical Sciences Honorable_mention Award
Objectives/Goals My goal was to find formulas for norms of orthogonal basis vectors in the multiplicity space of copies of an irreducible representation of S_{n-k} in the restriction of an i…
ISEF · 2017
Mathematics
Given a triangle and a set of three angles, celebrated geometrical theorem of Jacobi (1825) produces a new triangle and a point (Jacobi point) in perspective with the first. Different proper…
CSEF · 2017
Mathematical Sciences
Objectives/Goals The Skipjack Tuna (Katsuwonus Pelamis) is a pelagic species which is currently farmed in California by numerous fisheries. The objective of the project was to determine whet…
CSEF · 2017
Mathematical Sciences
Objectives/Goals It is well established that a "switch strategy" gives you a better chance of winning a prize in the traditional 3-door Monte Hall Problem. The objective of this study was to…
ISEF · 2017
Mathematics
In the research we study the systems of tangent circles inscribed in generalized Archimedes arbeloses and its properties. By the generalized Archimedes arbelos we mean one of the following m…
ISEF · 2017
Mathematics
A method of solving of the Diophantine equations of the first degree, that lets us to solve these equations in general already exists. But there are no such methods for the Diophantine equat…
ISEF · 2017
Mathematics
Language is the lens through which humans see the entire world. The purpose of this research project is to observe how the language in which a message is written impacts the time required fo…
ISEF · 2017
Mathematics
In their study of generalized covering maps in categorical Galois theory, Borceux and Janelidze analyzed topological properties of the coproduct completions of small categories. Up to equiva…
ISEF · 2017
Mathematics
In this paper, we focus on the dynamical behaviors of the non-monotone points and the periodic points of the tent mappings under iteration. We first discuss the variation of the number and l…
ISEF · 2017
Mathematics
In this project, we defined a mid-tangent point with respect to a fixed point X and a tangent at a point P on planar curve C as a point on the tangent that is equidistant from X and P. We st…
CSEF · 2017
Mathematical Sciences Fourth Award
Objectives/Goals My goal is to understand where the Julia and Mandelbrot sets come from and answer many intriguing questions: How many different types of Julia sets are there? Do Julia sets…
ISEF · 2017
Mathematics
In many cases of Land Search and Rescue the search for individuals that are believed to be unconscious or in need of medical attention are time critical. However, due to the shortage of reso…
CSEF · 2017
Mathematical Sciences Third Award
Objectives/Goals This study measured the variation in number of guesses required for different types of passwords using a brute-force program I created and modified on scratch, a computer co…
ISEF · 2017
Mathematics
This puzzle was first mentioned in Dudeney’s book “Puzzles of Canterbury” in 1907. Since then an optimal algorithm in the general case has not been obtained despite many attempts from people…
CSEF · 2017
Mathematical Sciences
Objectives/Goals The effects of the Wisdom of the Crowd can be measured if the sample size of the group is large enough. An experiment was conducted using various sample sizes of people who…