Mathematics-Based Research
Can Math Equations Create Art?
Tushig Buyandelger2026
- Mathematics
This project explores how mathematical equations can be used to create digital artwork in Desmos.
Infinity Science Institute
Learn to ask a question no textbook has answered for you.
With the right scope and mentor guidance, middle- and high-school students learn to form an investigable question, gather evidence, analyze results, and communicate what they found—including the limits.
Submitting an inquiry starts a conversation. Project scope is developed through mentor review; competition and publication opportunities depend on the project and applicable requirements.
2026 Science Fair Projects
Seventeen student research projects from the 2026 Infinity Science Fair. Projects span mathematics, physics, engineering, renewable energy, computer science, artificial intelligence, music acoustics, and astronomy.
These projects highlight student learning, independent effort, curiosity, scientific reasoning, communication, and future potential.
17 approved projects
Filter projects
Mathematics-Based Research
Physics of Angry Bird Game
Irmuun Batmunkh2026
- Mathematics
- Physics
This project recreates the physics of Angry Birds using the Desmos graphing calculator.
Mathematics-Based Research
Monitoring Plant Growth Using Image Analysis and Environmental Data
Iltsuu Idersuut2026
- Mathematics
- AI and Computing
- Environmental and Life Analysis
This project investigates whether plant health and growth can be monitored using photographs taken with a standard smartphone together with environmental measurements such as temperature, rainfall, soil pH, and plant height.
Mathematics-Based Research
Creating Digital Art with Mathematics
Neguun Burgedbaatar2026
- Mathematics
This project demonstrates how mathematics can be transformed into digital art using Desmos.
Mathematics-Based Research
Exploring Interactive Mathematics with Desmos
Marcus Khishigbaatar2026
- Mathematics
This project explores the creative side of mathematics through Desmos.
Mathematics-Based Research
Building a Digital Morin Khuur Soundboard
Biligt Naranbat2026
- Mathematics
- Music and Acoustics
- AI and Computing
This project explores the development of a simple digital Morin Khuur soundboard that allows users to play recorded notes using a computer keyboard, similar to a virtual piano.
AP Physics Student Research
The Physics of Curving Soccer Balls: Understanding the Magnus Effect
Biligt Munkhbat2026
- Physics
- AI and Computing
This project investigates the physics and aerodynamics behind the curved flight of a spinning soccer ball.
AP Physics Student Research
Volleyball Serve Trajectory Analysis Using Computer Vision
Sodbilig Dashzegve2026
- Physics
- AI and Computing
This project explores how computer vision and projectile motion can be used to analyze volleyball serves.
AP Physics Student Research
Wind Turbine Design Optimization
Anand Demchig2026
- Physics
- Engineering and Energy
This project investigates how wind turbine blade geometry influences rotational speed and electrical power generation.
AP Physics Student Research
Teaching Artificial Intelligence the Laws of Physics
Tsengel Buyandelger2026
- Physics
- AI and Computing
This project combines experimental physics with artificial intelligence (AI) to develop a complete workflow for projectile motion analysis.
AP Physics Student Research
Interactive Swimming Performance Analysis
Tod Otgontugs2026
- Physics
- AI and Computing
This project explores how different phases of a swimming race—including the start, underwater glide, stroke, turns, and finish—contribute to overall performance.
AP Physics Student Research
Searching for Habitable Worlds Beyond Our Solar System
Govi Dash2026
- Physics
- Astronomy
This project explores the scientific criteria used to evaluate potentially habitable exoplanets.
AP Physics Student Research
Basketball Shooting Analysis for AI-Assisted Coaching
Anar Bayarbadrakh2026
- Physics
- AI and Computing
This project investigates the physics of basketball shooting by analyzing ball trajectories captured with computer vision.
AP Physics Student Research
Solar Energy Utilization for Portable Power Systems
Sophia2026
- Physics
- Engineering and Energy
This project investigates the availability of solar energy for charging portable electronic devices using commercially available solar panels.
AP Physics Student Research
Rocket Flight Simulation Using Physics
Ganbold Smith2026
- Physics
- AI and Computing
This project explores the physics of rocket flight by developing a computer simulation based on real rocket specifications.
AP Physics Student Research
Frequency Analysis of the Morin Khuur
Temuujin Batjargal2026
- Physics
- Music and Acoustics
This project investigates the acoustic properties of the traditional Mongolian Morin Khuur by analyzing recorded musical notes using frequency spectrum analysis.
AP Physics Student Research
Acoustic Feature Extraction for Morin Khuur Sound Quality
Tuguldur Tugsjargal2026
- Physics
- Music and Acoustics
- AI and Computing
Building upon the frequency measurements collected from multiple Morin Khuur recordings, this project investigates quantitative features that distinguish high-quality and lower-quality instrument sounds.
How research works here
Research here is not a report about someone else’s findings. Students ask a question, design an approach, work with evidence, revise, and explain results with intellectual honesty.
Student ownership
Students ask the questions, do the work, and own the conclusions. Mentors guide; they do not do the project.
Evidence-based reasoning
Claims rest on observation, measurement, modeling, or careful analysis.
Iteration and honesty
Revision, uncertainty, and limitations are part of real science. Growth matters alongside the final artifact.
Where the work may go next
A classroom project can end when the grade is entered.A research project can continue when the question still matters.
Strong work can continue beyond a single term when the student keeps investigating. Possible next steps depend on quality, eligibility, deadlines, and mentor review—not a fixed ladder.
Explore possible next steps.
Who can participate
Research is not restricted to students who have completed AP Physics.
- Middle-school students may undertake developmentally appropriate research.
- High-school students may pursue more advanced experimental, computational, engineering, or data-driven work.
- Students may enter through physics, mathematics, programming, engineering, astronomy, energy, music, sports, or another meaningful question.
- Prior experience helps determine project scope, but curiosity and sustained effort are also important.
- Project suitability depends on interest, preparation, available resources, project feasibility, and mentor review.
Not every proposed project will be accepted. Olympiad participation is not a prerequisite.
Frequently asked questions
Can a middle-school student do research?
Yes—when the question, methods, and scope are developmentally appropriate and mentor review supports feasibility.
Is AP Physics required first?
No. AP Physics is not a universal prerequisite. Preparation helps set scope, but curiosity and sustained effort also matter.
Do I need programming experience?
Not always. Some projects use programming, simulation, or data tools; others emphasize experiments, modeling, or design. Mentors help match tools to readiness.
Can I join without a fully developed project idea?
Yes. Contact can help refine a question. Enrollment begins review; a polished proposal is not required on day one.
Is every project experimental?
No. Projects may be experimental, computational, engineering-oriented, observational, or modeling-based when appropriate.
Can computational or engineering projects qualify?
Yes, when they involve a clear question or design goal, evidence, analysis, and honest communication of limitations.
How much independence is expected?
Students own the majority of the work—background study, planning, evidence, analysis, and presentation—with mentor guidance.
Can a project continue beyond one semester?
Often, yes. Many projects continue as independent study when interest, readiness, and mentoring capacity allow.
Does participation guarantee a science-fair entry or award?
No. Competition pathways depend on eligibility, readiness, deadlines, and mentor review. Awards are never guaranteed.
Can projects become part of a college portfolio?
Artifacts such as presentations, posters, or reports may support a portfolio when appropriate. Admissions outcomes are not guaranteed.
Ready to explore research?
Contact is for guidance or project discussion. Enrollment begins mentor review of fit and scope.