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 · 2018
Mathematics
We successfully extended Soddy’s theorem for the original Soddy’s hexlet to derive the number of spheres of what we refer to as the n-th generation hexlet: 6^n. The number of spheres composi…
ISEF · 2018
Mathematics
The present work is used to set a mathematical problem to discover absolute barycentric coordinates of locus $P^n_{min}$ in the triangle plane, featured with the $n^{\text{th}}$ powers of di…
CSEF · 2018
Mathematical Sciences
Objectives/Goals Let a_{n} denote the number of positive integers containing only the digits 1, 3, and 4, so that the sum of the digits is equal to n. Then a_{2n} is always a perfect square,…
CSEF · 2018
Mathematical Sciences Second Award
Objectives/Goals RSA encryption is used to protect a person's privacy on the internet. Part of the encryption process involves quickly distinguishing large prime and composite numbers. The o…
AJAS · 2018
Mathematics (inferred)
The ratios used in this experiment, which were derived from the Fibonacci sequence by dividing the numbers in the sequence to get each individual ratio used. The Fibonacci sequence was deriv…
ISEF · 2018
Mathematics
\textit{Draw of choice} (Finnish: "hutunkeitto") in Finnish baseball can be seen as a finite two-player game with winning and losing positions. By inspecting winning and losing positions one…
ISEF · 2018
Mathematics
Considering all of the different areas of math, including advanced geometry, one of the least heard of is fractals, geometric figures in which each part has the same statistical characterist…
ISEF · 2018
Mathematics Fourth Award
I study Lucas Sequences, recursive sequences that generalize the Fibonacci Sequence, and Lucas Groups, solutions of a variant of Pell’s Equation mod p. Lucas Sequences have a broad backgroun…
ISEF · 2018
Mathematics
In this investigation, an active investment strategy based on the principles of game theory was tested against the passive strategy of buy-and-hold to determine which was more effective. Inv…
ISEF · 2018
Mathematics Third Award
The fundamental paradigm of persistent homology is to vary an unknown parameter while computing algebraic invariants. The stability of the invariants is then analyzed to determine significan…
ISEF · 2018
Mathematics Third Award
The concept of a free object is one that relates to all kinds of algebraic structures, i.e. free groups, free algebras. In this project we investigate one of the most fundamental free object…
CSEF · 2018
Mathematical Sciences
Objectives/Goals There is a need for a computer vision based assistant system for visually impaired people to help them recognize people, their emotion and maybe to navigate them through the…
CSEF · 2018
Mathematical Sciences
Objectives/Goals The intent of this project is to compare the accuracy multiple machine learning (ML) algorithms to improve and/or automate breast cancer detection. This research takes into…
CSEF · 2018
Mathematical Sciences Honorable_mention Award
Objectives/Goals To (1) create an enhanced machine learning model for classification of mitosis in breast histology through transfer learning on pre-trained deep convolutional neural network…
ISEF · 2018
Mathematics
Hilbert's space is a complete unitary space that allows you to operate with complex n-tics (vectors), complex sequences and complex functions in exactly the same way. The basic element of th…
ISEF · 2018
Mathematics
The dynamics of polynomials in the space of 2X2 real matrices of the form Q(Z) = Z^2+C with a Constant C consisting of complex eigenvalues, identical eigenvalues, and distinct real eigenvalu…
CSEF · 2018
Mathematical Sciences
Objectives/Goals My objective was to determine how origami can be used to solve for the roots of a cubic polynomial. The goal was to discover an easier method of solving for polynomials. Met…
ISEF · 2018
Mathematics Second Award
A finite dynamical system (FDS) is a function f: F_m^n?F_m^n, where F_m^n is a set of m^n elements. Due to its applications to gene regulatory networks, it is desirable to develop mathematic…
CSEF · 2018
Mathematical Sciences First Award
Objectives/Goals Research on bar visibility graphs was originally motivated by problems about constructing VLSI (Very Large Scale Integration) circuits, and were adopted in the 1980s as a ge…
ISEF · 2018
Mathematics
The most important geometric invariant of a degree-n complex rational function f(X) is its monodromy group, which is a set of permutations of n objects. This monodromy group determines sever…
ISEF · 2018
Mathematics
Voice leading in music is a key element of the Western tradition. It is closely associated with homotopy, the exploration of chordal paths in higher dimensional configuration spaces. Musicia…
CSEF · 2018
Mathematical Sciences
Objectives/Goals The objective of our project is to find the accuracy and reliability of the Music Measure Theory. Methods/Materials Upright Piano, Computer w/ internet access, Sheet music (…
ISEF · 2018
Mathematics
The N-Queens Problem is the problem of placing N chess queens on a NxN chessboard so that no two queens attack each other. Calculation of the number of different solutions is related to the…
ISEF · 2018
Mathematics Fourth Award
In this project, it is investigated a problem of exploring of the rule of number patterns. In fact, the problem is to find general term of the number sequences, if we have some consecutive t…
ISEF · 2018
Mathematics
In this project we study the energy functional on the set of Lagrangian tori in CP^2. The energy conjecture asserting that the value of energy functional for any Lagrangian torus in CP^2 is…
ISEF · 2018
Mathematics
Although the infinite sum of the reciprocals of Mersenne primes has already been approximated to 0.51645417894, that result has not been compared with (a) the infinite sum of the reciprocals…
ISEF · 2018
Mathematics Second Award
Consider a square of integer side N divided into unit squares. The opposite vertices of some unit squares are connected with diagonal lines so that none of the diagonals have common points.…
ISEF · 2018
Mathematics
The Collatz function is defined as follows: start with a positive integer x. If x is odd, multiply it by three and add one, and if x is even, divide it by two. A recursion of this function c…
CSEF · 2018
Mathematical Sciences
Objectives/Goals The purpose of this project was to observe inherent modular trends within all hypothetical Collatz loops. Methods/Materials The Collatz function is defined as follows: start…
ISEF · 2018
Mathematics
In classical logic, formulas are constructed using a given alphabet composed of connectives and prime statements. The prime statements are assigned one of two truth values: {t,f} and the con…