Personal project / Simulation
Mathematical Game Lab
I built three separate games to make mathematical rules something you can play with. Each one exposes its calculations, so you can inspect why an agent moves, why a route fails, or why a capture counts.
Three playable desktop prototypes
Signal Ghosts: act on an estimate
Autonomous hunters infer positions from noisy, delayed sound. A Bayesian grid updates their beliefs; navigation and interception use those estimates. The player can inspect prior, likelihood, and posterior layers while the simulation runs.
Chrono Loom: cooperate with your past
Plan timed routes through a 20-second loop, then replay up to three past selves. Piecewise-linear trajectories, speed and energy limits, and swept collision checks decide whether a plan works. A timeline lets you pause and inspect the exact point of failure.
Geometry Predators: make the boundary matter
Control a polygon in an ecosystem of hunters and prey. Voronoi cells show territory, convex hulls fit a boundary around nearby prey, and visibility-graph paths route around obstacles. A capture requires full polygon containment rather than a simple overlap.
Keep the simulation testable
The C# games separate simulation rules from Godot rendering. Geometry Predators shares its geometry routines with headless checks. The repository records deterministic checks for probability normalization, interpolation, collisions, containment, and navigation.