Geometry

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A number as a shape

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 Remember those factor trees that you spent so much time making in middle or lower school. who would've thought they'd ever be useul? Well useful in a mathematical sense anyway. I started with the idea that you could just factor prime numbers into forever by continuisly factoring out the number and one. In doing so you could create an infinite line coming from a point or as we like to call them, rays. my project hinges on ideas of composite and prime, prime numbers take the form of rays and the composite lines make finite line segements. I started by assuming that when you split things it always spilt at the same angles. from this it forms a factor tree with distinct shapes in it, these shapes, as far as I can tell so far are not unique, or at least there is a general catagory of shapes that aren't unique. Each differant number will have a unique tree but there will be shapes that can be found in multiple nunbers. The are two goals herein, A) to catagorize numbers based on the differant types of shapes found in them and t be able to make varialbes more concrete. I'm going to devote an entire blog post to both of those ideas so that will come next. 

So first blog post out of the way. Hrnk, so far this is my least favorite part but its good to be able to explain your ideas, I suspect this will get more theropudic as time goes on. Also I'll spell check the next one but not here, I'm done. 

Comments

a great start

Hi Gus,
Thanks for writing this down, it's helpful for me to be able to read, even if you are suffering mightily while doing it : ) Remember, in science and math, communication is a huge part of advancing one's work. If one cannot communicate effectively with colleagues and the public, one's ideas don't catch on, securing funding is difficult, and one is relegated to working in an intellectual vacuum.
Keep thinking about appropriate keywords. Some mathy folks might have good advice for you here.