Programming and visualization help for novel prime number investigation

I want someone that is willing to play with numbers for a bit after initial milestone has been met. Need help fleshing about some thoughts I have about prime numbers, entirely explorational. Been bugging me for a while. My programming knowledge is limited, as well as my knowledge of visual simulation software. I only know how to program in Arduino (a C++ variant), and a bit in Excel (I forgot how to program the macros). I used to know Matlab but forgot most of it. Matlab might be best, but I don't have it. Well, whatever, we will figure it out.

I saw a video on facebook somewhere where there were polygons embedded inside one another of increasing size and side number. Numbers are assigned to vertices in order, kind of like roped into them. For example, triangle had 1,2,3. The square encompasses the triangle has numbers 4,5,6,7. We are going to play with construct a bit.

If you find papers that already have all this done, I'd love to see them.

Eventually, I'll wanna change the following, or have our program be able to handle the capability of changing:

the starting number.

alignment and size of the shapes relative to one another, and separately

polygon side number progression (triangle,pentagon, septagon, 11-gon) etc.

By accepting this project, if we discover something, the discovery will belong to both of us.

However, if we discover something significant, then all of our work immediately becomes property of the US government. Sounds creepy, but this is absolutely non-negotiable. Although very unlikely, I'd hate to crack prime number prediction or factorialization and put the entire worlds cryptographic standards in jeopardy lol.

Attached file is what I came up with so far, as an example of what it might look like, although Matlab might be better, or python or something else. I calculated the coordinates using an Arduino program (also included), which I ran in the TinkerCad website and copied the data over to Excel.

I also need help figuring out what program to use, or maybe make Macros in Excel, although animations may be tough on there. Let me know.

Feel free to rewrite and do whatever, it is probably best that way anyway, to include the extra explorational variables we will need. Thanks.

Algoritmo Arduino Programmazione C++ Excel Macros Matlab and Mathematica

Rif. progetto: #18385547

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