grouptheory

FGroupPy is a software tool that allows you to perform various operations and analyses on mathematical groups. It provides a Python class called Group that represents a group and offers a set of methods to work with groups, including checking group properties, finding subgroups, generating multiplication tables, identifying normal subgroups, etc.

This is a project I've been working on in Rust, exploring concepts behind Lo Shu, or more commonly, magic squares. This project will aim to solve various problems in combinatorics utilizing accellerated computing as well as enhance my understanding of the Rust Programming Language.

By using this program I achieved our research result and I give a talk at the 5th International Conference on Mathematical Advances and Applications in Istanbul, Turkey.

A Python CLI tool for visualizing Cayley graphs of finite groups. Supports cyclic, dihedral, symmetric, alternating, and custom groups with automated generator detection.

Molecular framework structure could be described as a collection of discrete cage/pore shapes. Functionalisation to the structure creates a huge number of possible isomers. This code enumerates and identify all possible unique arrangement of functional groups in the 14 most common pore shapes created by ditopic (2-connected) linkers with the num…

RubiX is an advanced Rubik's Cube solver combining Deep Reinforcement Learning (PPO) with classical group theory (Kociemba's Algorithm). Features a stunning 3D Three.js interface, a high-speed FastAPI backend, and a hybrid solver that guarantees a solution for any valid cube in under 200ms. Tested with a 100% mathematical success rate.