VR Calculus (Networked Educational VR Experience)

Solo Developer | VR · Systems · Networking · Education Design

VR Calculus is a fully immersive educational experience built in VR, designed to help students visualize and understand mathematical functions in 3D space. I was responsible for the entire project — from concept and environment design to interaction systems, UI, and multiplayer networking. The experience was developed to support both individual exploration and collaborative learning in a classroom or remote setup.

Core Concept

The project transforms traditional calculus problems into interactive 3D visualizations, letting students manipulate variables, observe real-time changes, and explore concepts like derivatives, slopes, and integrals in a way that's tactile and intuitive.

Highlights:

  • Environment & Experience Design: Created an interactive virtual classroom where students can walk around, observe, and engage with animated graphs and math models.

  • VR Interaction Systems: Designed custom tools (e.g., pointer-based function selectors, grab-and-move coordinate sliders) that let users manipulate graphs in real time using motion controllers.

  • Function Visualization: Implemented live-rendered curves, planes, and volumes for functions like:

    • 2D functions f(x)f(x)f(x)

    • Parametric curves

    • 3D surfaces f(x,y)f(x, y)f(x,y)

  • Live Graph Updates: Adjusting variables updates the graphs in real time — supporting exploration, curiosity, and direct feedback.

  • Multiplayer Networking: Built a networked system where multiple students and an instructor can join the same session, view shared graphs, and collaborate in real time.

  • Teaching Tools: Enabled educators to highlight, freeze, or guide functions across sessions, making it easy to lead students through a concept.

  • UI Design for VR: Created a minimal but effective menu and interface system suited for standing VR — everything is usable with motion controllers and designed for clarity and speed.

  • Performance Optimization: Ensured stable framerate and responsiveness even during high-frequency graph updates or multi-user sessions.

Summary

This project combines education, immersive design, and technical VR development to support hands-on learning in calculus. It was built with both students and educators in mind — offering clarity, interactivity, and a networked experience that makes math collaborative and intuitive. From visuals to networking, I handled every piece of the system.

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