Mathematical Evolutions Abstracts

Class of 2019

A Journey Through Time: A Contemporary Examination of Ancient Egyptian and Babylonian Solving – Allen Biju Parayil

Aggressive Poker Play and Its Connection to Economics – Nick Hargrove

Analysis of Irrational Proofs and An Exploration into Alternate Solutions for e – Marco Tan

Color Me Emotional: A Look Into the Emotional Correlation to Blended Colors – Madeline S. Scott

Evaluating Potential Trajectories for a Return Trip from Mars – Aidan Gallagher

Extensions to the Social Intuitionist Model of Moral Judgment – Yue-Bo Jia

Finding Normality in Irrational Numbers – Alaunna Roberts

Is the Length of a Coastline Infinite? The Difference Between Fractals in Mathematics and in Nature – Xinyi Li

Prime Numbers in Disguise: Examining the Base Counterparts of Primes – Victoria Yan

Quarterbacks of the Future: Using College Statistics to Predict NFL Success – Justin Wang

Sneakers and the Art of Resale – Aabir Sanyal

The Golden Ratio in Comic Books – Andrea Lee

The Misinformation Effect: Remembering What Never Happened – Claire A. Boles

Upward Mobility in Buncombe County: Why is Asheville Lagging Behind the Nation? – Bella S. Vandersall

Utilizing an Abacus as a Coping Mechanism for Post-Acute Stress – Valerie Vargas

What Effect Does Social Media Have on Our Self-Values? – Sehaj K. Singh

Class of 2015

Pure Gold – Exploring the Goldbach Conjecture Alec Ashforth

Hyperbolic Geometry – Shapes and Figures in a World without Euclid Casey Crouse

Humans – A Study on Population and Sustainability Ameen Faizi

Playing with Phi and Maybe We’ll See – Exploring Connections between the Golden Ratio and the Unit Circle Connie Feinberg

nth Roots of Complex Numbers – A Recursive Solution Ben Nativi

Finding the Lattice Points – One Gauss Circle at a Time Emma Nunn

An Exponential Take on Brocard’s Problem Neetya Shah

Logarithmic Spiral Patterns in Urban Growth Ruwaydah Sideek

Completing the Cube Charlie Stanier

Class of 2014

Every Number is Actually One – An Investigation of the Collatz Conjecture. Akaash Sanyal

It Is Watt It Is – An Exploration of Watt’s Curve. Alex Yang

Strength in Numbers – Fractals in Structural Design. Andrew Millikan

Re-Shaping the Moving Sofa Problem. Felicia Chen

Triangles and Squares and Polyhedra- Oh My – A Closer Look at Pollock’s Conjectures. Hal Lin

Expanding Ideas of the Past – Redefining the Cairo Pentagon. Kristie Kim

The Ultimate Mathematical Face-Off – Investigating Tau (τ) vs Pi (π). Marco Chumbimuni

You Know My Name, Not My Stor-e – Exploring Further Applications of the Never-Ending Number. Nicholas Simmons

Mother Nature’s Magic – Natural Functions and their Graphs. Paige Hetley

Pinpointing Perfect Position – Is GPS Triangulation Best? Ruhani Agrawal

The Ratio from the Beginning – A Look at the Golden Rectangle in Modern Technology. Sergei Miles

Think Outside the Circle – Redefining the Area Under the Parabola. Shanaya Fozdar

Class of 2013

From Simplicity to Complexity – Proving the Complete the Square Method and Quadratic Formula. Jared Phillips

Number Theory Boring – Nein. Gina Higgins

How Limits give birth to derivatives. DaQuan Williams

Will Rogers’ Phenomenon: How Oklahoma has more in common with prostate cancer than we thought. Federico Lluberes

The Law of Sines – Significant or Superficial. Makayla Dimmette

Do the Rules Define the Fractal? A Study of the Koch Snowflake and its Methodology. Annie Miya

Beyond the Triangle: The Unique Properties that Shape Pythagorean Triples. James Jushchuk

Harmonic, Yet Not So Harmonious, Series. Ethan Shvueli

A Unique Proof of the Pythagorean Theorem. Mart Fowler

Life of Pi or Life of Tau – Which Constant is Appropriate in Modern-Day Algebra. Kamal Patel

The Catenary Compared to the Parabola in Ray Reflection Abilities. Alina Suedbeck

Solving Matrices – Cramer vs. Gauss. Neel Patel

The Missing Solutions: What about the Negative Square Root in the Cubic Equation. Ashleigh Venezia

Cryptography: Credible or Questionable. James Osborne

Reviving Heron’s and Brahmagupta’s formulas – A New Spin on Finding Area. Patrick Crutchfield

Sum Formulas – Superheroes of Sequences or Villains of Invalidity. Kaley Marr

How I Measured the Milky Way. Elizabeth Hunt

Disproving Zeno’s Paradoxes of Motion. David Oakley

Class of 2012

The World’s Perfect Proportion. Sarah Tong- Phi

Proving the Second Fundamental Theorem of Calculus. Elizabeth Neal

The Trisected Triangle and the Hexagon Within: Marion Walter’s Theorem. Jazmin McCorkle

Hyperbolic Geometry in Two- and Three-space. Solomon Starling

Circle of Fifths:A Mathematical Investigation of Music. Talen Piner

The Puzzle with No Solution: An Analysis of the Konigsberg Bridge Problem. Samuel Chao

Connecting Equations: Ancient Ways to Modern Days. Christian Hayes and Emma Benedict

How Many? A Triangle Puzzle for Any Age. Cole Wicker

Cutting into Conics. Gregory Nichols

The Complexity of Complex Numbers. Aayushi Patel

An Exploration in Differentiating Common Differences and their Algebraic Analog. David Arellano

Pisano Periods: Unlocking the Secrets of the Fibonacci Sequence using Modular Arithmetic. Brian Hogan and Alex Sludds

2 = 1: The Illogical Reasoning and Method behind Mathematical Fallacies. David Ryu

Capturing Infinity: Understanding the Concept and Application of a Never Ending Quantity. Carly High and Al Smith

The Shocking News about Electricity: An Investigation into the Relationship between Distance and Electric Field Strength. Zachary Visco

Class of 2011

Complex Numbers and the Unit i with a Focus on Exponential Behavior Cameron Gray

Defining the Origins of Conic Sections Nanami Miyazaki

Playing with Pascal Abigale L. Godwin

A Study of the Evolution and Importance of Diophantine Equations Ben Zhang

The extraordinary number e Anabel Medrano

Powers of 2 and Exponential Relationships: An Investigation Jesse Ramirez

The Progress in Calculations through Logarithms Smrithi Valsaraj

The Shortest Path Problem and the Evolution of Graph Theory Austin D. Bryan

Class of 2010

Pascal’s Triangle: The many tricks held within.Mary Margaret DaughtryCrossing the Bridge: Euler’s Graph Theory

. Megan DeLaunay Complex Numbers: A brief introduction. Neal Dempsey Ancient Systems of Operation: Computing with Mathematical Devices. Calvin Fitts, Jr. Dimensional Analogy: A 4-D approach to Quartic Solutions. Aakash Gandhi Centuries of Mathematical Frustration: Fermat’s Last Theorem. Chris Grant Proving the Quadratic Formula: Why does it work?. Lauren Martin The Magical Menagerie of Mathematics: Proving the Pythagorean Theorem. Cecilia Polanco African Mathematics. Jimmie Powell Pi and the History of Aeronautics. Kayshea Xiong