Search past science fair projects

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.

769 projects · showing 331–360 Mathematics — clear category filter Clear all

ISEF · 2019

A Trust Model in Bootstrap Percolation

Mathematics

Bootstrap percolation, which originated from the field of statistical mechanics, is a class of monotone cellular automata describing an activation process which follows certain activation ru…

ISEF · 2019

Classifying Quaternion Identities

Mathematics

This number theory project investigates identities found by multiplying together quaternions in L[x,y,z,w], the Lipschitz quaternions L adjoined with the indeterminates x, y, z, w. Recall th…

ISEF · 2019

Dynamics of the Tangent Map

Mathematics Fourth Award

I developed a new method to analyze expanding maps with indifferent fixed points. I applied this method to specifically analyze the iterations of the tangent map, proving both measure-theore…

CSEF · 2019

Dynamics of the Tangent Map

Mathematical Sciences First Award

Objectives Analyze the distribution of the iterations of the tangent map for most starting values, both measure- theoretically and topologically. Characterize sets of starting values whose t…

ISEF · 2019

Finding Chebyshev-Type Functions

Mathematics Third Award

This project is motivated by studying Chebyshev polynomials such as cos?(mx) is a polynomial of cos?(x). It is interesting to know if there are other non-constant continuous functions f havi…

ISEF · 2019

Geodesic Lines on Archimedean Solids

Mathematics

Purpose: The problem of finding the shortest path between the two given points is a classical problem in geometry. These paths are called geodesic lines. The existence of non-self-intersecti…

CSEF · 2019

Iterated Prisoner's Dilemma

Mathematical Sciences

Objectives The objective of my project is to compare several different strategies used in the game Iterated Prisoner s Dilemma. I investigate how each strategy performs against all other ava…

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