Calcflow

The repository contains the open-sourced code to Calcflow, a powerful mathematical visualization tool designed to give students, educators, and engineers a better grasp on some of the most difficult concepts in vector calculus. Utilizing the best UI/UX theory, Calcflow is an intuitive VR interface for vector calculus and is used by scientists and engineers for both educational and commercial applications. Some core features:

Parametric graphing utility designed to map points in 2D space into 3D by defining (x,y,z) as a function of parameters u and v. Recent functionality also includes the ability to map from 1D to 3D.
Vector field utility
Cross product and vector addition modules rendered in real time as a user manipulates initial vectors
Double integral grapher

Why Calcflow?

Today, the most common tool for complex maths visualization in the classroom is the TI-84+. Scientists, researchers, and other professionals who implement calculus in their work may rely on more complex toolkits like MATLAB. Though these tools offer broader functionality, they are similarly if not more unintuitive than their handheld counterparts.

Visualization plays a crucial role in understanding, mastering, and improving upon mathematical concepts, but today's standard interfaces frustrate and alienate many individuals, creating an excessively high barrier of entry to higher level math studies. Calcflow shatters this interfacial bottleneck by enabling users to interact directly with complex equations in physical space. Users can manipulate inputs and parameters and observe changes to 3D visualizations in realtime.

Getting Started

Prerequisites

Programming Language: C#
Operating System: Windows
VR HMD: Oculus Rift or HTC Vive

Built With

Unity3D - The game engine platform used

Versioning

Currently, the version is 5.6.2f1

Authors

Ethan Vander Horn - Lead Calcflow Developer - EthanVanderHorn
Edward Zhou - Lead Calcflow Developer - YangZ530
Jacqueline Bontigao - UI Developer - Calcodeus

License

This project is licensed under the NANOME VR PRODUCT SUITE - see the LICENSE.md file for details

Acknowledgments

We would like to thank John Eggers, Marc Loschen, and Kyle Lee for the initial development and support as well as all the developers who have been involved in this project. We also would like to thank the students involved in UC San Diego's Summer Academy Vector Calculus course in 2016 and 2017 for providing the instrumental feedback necessary for Calcflow's development.