About

In my free time I do programming - mainly projects that I could use to fill my portfolio. I’m quite familiar with C++, C, Unity Game Engine, C# and Python. On this portfolio site I put all of my interesting projects. I study computer science in the Silesian University of Technology. I am currently researching second and third level programming. Check out my projects here!

Latest project:

N-Body Gravitational Modeler

This project is a high-performance, interactive prototype built in Unity that simulates the gravitational dynamics of an N-body system.

The Core Idea

The “N-body problem” is a classic computational challenge: how do you simulate the motion of $N$ (e.g., 100,000) particles that are all gravitationally attracting each other?

A simple, “brute-force” approach, where every particle calculates the force from every other particle, is an O(n^2) algorithm. This means for 100,000 bodies, you would need 100,000 times 100,000 = 10,000,000,000 (ten billion) calculations per frame, making real-time simulation impossible.

This prototype solves this performance barrier by implementing a dual optimization strategy:

1. Algorithmic Optimization: It uses the Barnes-Hut algorithm, an O(n \log n) approximation that intelligently groups distant particles into clusters, drastically reducing the number of calculations.

2. Hardware Optimization: It leverages Unity’s Data-Oriented Technology Stack (DOTS), specifically the C# Job System and Burst Compiler, to execute all simulation logic in parallel across all available CPU cores.

The result is a fully custom physics sandbox, running its own simulation logic completely independent of Unity’s built-in 3D physics engine. It is capable of handling hundreds of thousands of bodies in real-time while providing a full UI to control the simulation’s physical parameters.

Screenshots