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Spacetime Projections

Writer: Kalle LintinenKalle Lintinen

In today’s post I’m partially procrastinating. Instead of looking at the folding pattern of the spacetime origami and deriving equations from it, I’ve decided to write a post about it. However, the reason for this is rather innocent. To be able to convert the model into equations, I needed to convert the 3D shape into projections, where each element can be given a letter, so that I can keep track of them. And once I had these projections, it was obvious that they are worthy of their own post.

 

These are the projections:

Don’t worry if you don’t understand what all of the lines mean. When I’m ready, I’ll explain what they are. I guess the important thing to note is that the x-y and x-z projections look almost identical, with a single cross made of yellow and blue vectors, has its colors swapped.

 

From the looks of the projections, there doesn't seem to be anything very hard left, just grunt calculations. If I was a bit better at mathematics, I would have solved these by now. The problem is that despite what might appear in this blog, the calculations I need to do in my day job as a chemist are mostly elementary school level: adding, subtracting, multiplying and subdividing. I’m sure I’ll solve these, but I’m just rusty.

 

  

 
 
 

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