Math/Physics Sandbox

Overview:

This project is a sandbox for all math and physics logic developed for my custom C++ game engine. This sandbox includes tests for BVH and bit-bucket spatial partitioning, raycasts, collision detection, Newtonian-based collision responses, splines, and general 3D geometry visualizations.

Tools: C++, HLSL, DirectX 11
Development Timeline: August 2022 – Present

Project Features:

Rigid Body Dynamics

This sandbox provides a test for the simulation of 3D rigid body dynamics. The test environment can take in any obj file and generate a convex hull that can be simulated against any convex polyhedron.

Collision Detection and Responses

This sandbox provides the following test environments and visualizations for a wide variety of problems regarding collision detection and responses:

BVH trees
Bit-bucket spatial partitioning
Quickhull algorithm
Minkowski Difference
GJK Algorithm
EPA

Raycasts

In this sandbox there are several test environments for raycasts. These include raycasts tests for the following:

Fast raycast for tile/voxel grids
AABBs
OBBs
Line segments
Planes
Convex hulls
Discs/Spheres

Easing, Curves, and Splines

One of the test environments for this sandbox is a game mode to develop and test Bezier curves, Hermite curves, Catmull-Rom splines, and easing functions.