User:Abcjefft123/sandbox

I tried like 10 times to upload my drawing. WIKI keeps flashing an error message saying something went wrong and it doesn't say what. The message gives me the option of dismiss or try again, neither options result in progress. I don't get it? I'm new to this, I thought it was just drag and drop, I mean its a picture I drew? how much more original can I get? I drew a 2-D projection of a rectangle, that I extruded from a hyper-cube. I thought this was an excellent addition to the article to further Euler's contribution to the relationship of co-prime integers. Especially when working at the 3-D stage, and you can see the relation he is famous for noticing between the faces in a polytope. I will bring it to class, along with the research I did to both locate and derive findings.> scratch that last part> I got it, It took a minute, I'm new to this. Imagine the shape compressed or pulled apart. You basically start with the 9x4- 2-d image they give in wikis article that was drawn/drafted on isometric paper, hence the dots. From that, I took the faces and translated them, via a sum of vectors, which illustrates Euler's formula further. The edges follow this relation of faces and dimension using co-prime integers 4 and 9. I thought this would enhance the co-prime integer article by giving a 3-d visual example to accompany the 2-d one to show a deeper relation of co-prime integers and how they behave in 3-d compared to 2-d, and then also another example of how they compare when using non-co-prime vectors to further show that contrast. I don't know if Euler's formula is commons appropriate? I see the creator of the article put up Euler's Law and Euclid's algorithm, but I don't know if they needed permission to do that? If not I could happily post the algebra on a separate image demonstrating my contribution. I don't want it to appear like i'm claiming to own any of Euler's work, merely demonstrating and reinforcing a comparison between co-prime and non-co-prime numbers using his formula as a basis. Also, from speculation, I wanted to point out the impact Euler's formula could have had if it were around in the time of Euclid. Euclid was 300-BC or so wiki claims suggest, and Euler was 18th century AD. The Greeks had to have had some form of Euler's formula then, how else could they have built their architecture (amphitheaters, Parthenon, Sistine Chapel, aqueducts, wells for water and irrigation), all these 3-d objects with no concept of how to go from a 2-d stage to a 3-d? I think they had some idea. Euler discovered the formula named after him and that discovery had to be based on what came before him, so if the Greeks had concept of it already how did Euler manage to get the credit/title? Or did the Greeks just think that 2-d to 3-d just meant adding depth/height and thought that it was implicit, thus Euler merely credited for the explicit?