Waffle Ware
Modular Forms Playground
Interactive visualization playground for modular forms including Eisenstein series, discriminant functions, and custom forms. Features real-time rendering in both Cayley disk and upper half-plane views with animation capabilities.
3D Audio Visualizer
NURBS-based 3D sound visualization system generating dynamic meshes responding to audio frequencies. Features collision detection and oscilloscope art capabilities through precise signal manipulation.
Concave Rigidbodies - Exact Convex Decomposition
Unity asset providing exact convex decomposition for concave meshes, enabling accurate physics simulation. Implements advanced algorithms for automatic mesh processing and rigidbody generation from complex 3D models.
Novel Rounding Functions
Research on new mathematical representations extending floor, ceiling, and rounding functions to trigonometric and complex domains. Implemented with formal proof verification.
3D Field of View System
Commercial Unity asset implementing optimized Fibonacci sphere projection for accurate 3D agent behavior modeling. Used in AI pathfinding and game development.
Non-Planar Mesh Slicer
Real-time 3D model cutting along arbitrary curved paths using advanced computational geometry algorithms. Supports animation-preserving cuts and topological consistency validation.
Conway's Game of Life - Multi-Grid
Interactive implementation of Conway's Game of Life with multiple grid topologies including square, hexagonal, and triangular grids. Features customizable rules, real-time simulation controls, and unique neighbor patterns for each grid type.
Physics Equation Visualizer
Interactive web-based force-directed graph revealing connections between hundreds of physics equations across disparate domains, illustrating fundamental relationships often obscured by traditional presentations.
Matrix Hasse Diagram Visualizer
Interactive visualization tool for exploring matrix relationships through Hasse diagrams. Features dynamic matrix manipulation, hierarchical ordering visualization, and real-time relationship analysis for mathematical structures and partial orders.
Mesh Feature Detection Via Ray Tracing
Novel approximate convex decomposition algorithm using parallel internal ray-tracing and clustering. Achieves real-time processing speeds for meshes up to 10,000 triangles through GPU acceleration.
VR Sandbox Environment
Modular system for implementing VR mechanics using Oculus SDK and XR systems. Features physics-based interactions, hand tracking, and customizable development tools.
Poketale Fan Game
Fan-made game inspired by the Poketale AU. YouTube video reached more than 1 Million Views
Riemann Zeta Visualizer
Interactive exploration of the Riemann zeta function in the complex plane. Features critical line analysis, zero finding algorithms, and real-time function evaluation.
Mesh Topology Debugger
Comprehensive debugging tool providing detailed visual representations of 3D mesh properties. Enables intuitive analysis of complex topological structures and geometric errors.
Mesh Boolean Operations
Advanced tool for performing boolean operations on 3D meshes. Supports union, intersection, and difference operations with real-time feedback.
Automorphic Forms - Möbius Interpolation - WIP
Advanced mathematical visualization tool for Möbius interpolation via φ(q)-dimensional exact computation. Will eventually feature interactive basis generation, matrix conditioning analysis, and real-time quality assessment with multiple orthogonalization methods.