Richard
ABOU CHAAYA

A collection of some of my projects

Schur Numbers

Ongoing research project about schur numbers. The goal is to partition the integers [1,n] such that no set contains x, y and z that verify x + y = z. What is the maximum number n that can be partitionned in k sets?

Photon Z

With 3 other students, we created a virtual reality version of the game Boson X. We used Unity 3D, C# and the GoogleVR SDK. The game is playable on Android.
Original music by me.

Abelian Sandpiles

Research project about abelian sandpiles I conducted as an undergraduate student. Very basic rules give rise to the complexity observed in avalanches or sandpiles. This model exhibits elegant algebraic properties which help many of the proofs. Here is the presentation I gave following the project.

Autonomous Vehicles

Following a course on autonomous vehicle, we created self-driving systems that can go to a point on a grid and come back. I used a raspberry pi and python to implement a shortest path algorithm where the vehicles can encounter obstacles along the way. I was also in charge of the network infrastructure ensuring communication between vehicles and server.
Here is an article detailling the project written by Nouamane Tazi, a classmate of mine.