(Linear Spaces + Incidence Geometry)
Python tools to construct and visualize abstract linear spaces, implement algorithms to iteratively generate incidence structures, test geometric axioms, and explore group-theoretic, combinatorial, graph-theoretic, and computational connections.
Note: This project is IN PROGRESS! I am actively building out more functionality, specifically an iterative process to generate a new type of free linear space and extend current structures.
View the code at Lincidence_Refined.ipynb, which contains the source as well as several examples. For the writeup containing an explanation and the mathematical backings of the proof, please visit Lincidence_Writeup.pdf.
This is a project to explore free linear spaces and develop tools to aid in their mathematical generation. More information is being added to the writeup (including more rigor to the mathematical proof), and more Python tools are being build to expand on the current functionality! Enjoy!