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
With appropriate scope, preparation, and mentorship, motivated middle-school and high-school students can learn to investigate meaningful questions, analyze evidence, and communicate original work.
Enrollment and contact begin a review process. Acceptance, project assignment, competition entry, publication, and laboratory access are never guaranteed.
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
Tushig Buyandelger2026
This project explores how mathematical equations can be used to create digital artwork in Desmos.
Mathematics-Based Research
Irmuun Batmunkh2026
This project recreates the physics of Angry Birds using the Desmos graphing calculator.
Mathematics-Based Research
Iltsuu Idersuut2026
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
Neguun Burgedbaatar2026
This project demonstrates how mathematics can be transformed into digital art using Desmos.
Mathematics-Based Research
Marcus Khishigbaatar2026
This project explores the creative side of mathematics through Desmos.
Mathematics-Based Research
Biligt Naranbat2026
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
Biligt Munkhbat2026
This project investigates the physics and aerodynamics behind the curved flight of a spinning soccer ball.
AP Physics Student Research
Sodbilig Dashzegve2026
This project explores how computer vision and projectile motion can be used to analyze volleyball serves.
AP Physics Student Research
Anand Demchig2026
This project investigates how wind turbine blade geometry influences rotational speed and electrical power generation.
AP Physics Student Research
Tsengel Buyandelger2026
This project combines experimental physics with artificial intelligence (AI) to develop a complete workflow for projectile motion analysis.
AP Physics Student Research
Tod Otgontugs2026
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
Govi Dash2026
This project explores the scientific criteria used to evaluate potentially habitable exoplanets.
AP Physics Student Research
Anar Bayarbadrakh2026
This project investigates the physics of basketball shooting by analyzing ball trajectories captured with computer vision.
AP Physics Student Research
Sophia2026
This project investigates the availability of solar energy for charging portable electronic devices using commercially available solar panels.
AP Physics Student Research
Ganbold Smith2026
This project explores the physics of rocket flight by developing a computer simulation based on real rocket specifications.
AP Physics Student Research
Temuujin Batjargal2026
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
Tuguldur Tugsjargal2026
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.
Research is more than writing a report or summarizing information. It is a student-owned process of asking questions, gathering evidence, iterating, and communicating with intellectual honesty.
Students ask the questions, do the work, and own the conclusions—with mentor guidance, not substitute authorship.
Claims rest on observation, measurement, modeling, or careful analysis—not slogans or shortcuts.
Revision, uncertainty, and limitations are part of real science. Growth matters alongside the final artifact.
Most school projects end with a grade.Research does not.
A well-executed project can evolve year after year—becoming more rigorous, more impactful, and opening new opportunities at every stage.
Explore each altitude along the path.
Research is not restricted to students who have completed AP Physics.
Not every proposed project will be accepted. Olympiad participation is not a prerequisite.
Yes—when the question, methods, and scope are developmentally appropriate and mentor review supports feasibility.
No. AP Physics is not a universal prerequisite. Preparation helps set scope, but curiosity and sustained effort also matter.
Not always. Some projects use programming, simulation, or data tools; others emphasize experiments, modeling, or design. Mentors help match tools to readiness.
Yes. Contact can help refine a question. Enrollment begins review; a polished proposal is not required on day one.
No. Projects may be experimental, computational, engineering-oriented, observational, or modeling-based when appropriate.
Yes, when they involve a clear question or design goal, evidence, analysis, and honest communication of limitations.
Students own the majority of the work—background study, planning, evidence, analysis, and presentation—with mentor guidance.
Often, yes. Many projects continue as independent study when interest, readiness, and mentoring capacity allow.
No. Competition pathways depend on eligibility, readiness, deadlines, and mentor review. Awards are never guaranteed.
Artifacts such as presentations, posters, or reports may support a portfolio when appropriate. Admissions outcomes are not guaranteed.
Contact is for guidance or project discussion. Enrollment is for students ready to begin review. Neither guarantees placement. Research scope and fit require mentor review.