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GeoPrimes - Geometric Interpretation of Prime Factorization of Numbers Used AI
This project visualizes natural numbers as geometric figures in a high-dimensional space defined by their prime factor exponents. Each prime number corresponds to an axis arranged radially in a circle, and a number's prime exponents determine its coordinates along these axes. Stacking these polygons vertically represents multiple numbers, creating a 3D prime-factor geometry. This novel visualization aids intuitive understanding of prime factorization structures and explores new geometric insights in number theory. It combines algebraic concepts with interactive 3D graphics for educational and research applications.
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Timeline
Tried rewriting the calculations in rust, so it's more efficient and faster - also to support larger amount of numbers and sizes. Tried to make a python module with my rust code and embedd it into the python code, but it's not fully working yet.
Updated some stuff, fixed the axis symmetry, also working on analyzing the properties of numbers in their PFS geometric visualisation, in the picture you can see the number 6469693230 (sadly it's still in a sort of fibonacci way, it should be a regular polygon with k corners (k being the amount of different prime factors/axis)
Tried to implement the key features, including the visualization in python (web interface coded in python) and also embedding many axis in a three dimensional coordinate system, doesn't completely work yet, only some basic stuff, you can see lines and sometimes triangles, but it's still buggy, also the coordinates aren't showing correctly, as the axis and with that the points in e.g. 17 dimensional space have the coordinates when mapped into a regular three dimensional space, I will have to think about how to transform this correctly!
