During quarantine, one of my purposes was to improve my knowledge about perpective.
While I was working on it, I found something, a method that is able to convert information in 2D to linear perspective to perfection, but the most important, to viceversa too.
I think that it's like if I had found how both languages are connected between them, the key to translate from one to another.
And I am not sure why it works or what it represents, I just know it works.
I called this method The Principle of Infinity.
What I am going to expose next is the proof that it works, not how it does. You will have to wait for that for now.
Let's get started:
In the step number 1 we draw a random scalene triangle and the mediatrixes of the three edges that conform the triangle.
In the step number 2, using my method, we draw exactly the same triangle and the mediatrixes in linear perspective.
But, how can we know now if the triangles in both steps are the same at 100% and not only similar?
To know the answer we continue in the step number 3. Using Thales's theorem we divide the red-coloured edge in 3 parts. Now, from one of those parts, we draw a line until one of the vertex of the triangle, de violet line, the one that unites the green circumference and the red one.
Where the 3 mediatrixes cut, we have the blue circumference. From there, we are going to draw a line until the green circumference, the yellow line.
And now we are going to measure the angle of the vertex between the yellow and violet line.
The number in red is the value obtained.
As you can see, we established a simple pattern with the intention to compare both triangles.
So in the step number 4, we are going to repeat the same pattern but this time in the triangle in linear perspective. It is possible to use the Thales's theorem in perspective, and the rest of the lines are easy to draw.
As I said, if It is possible to convert 2D into linear pespective using my method, it is possible to convert linear perspective into 2D too.
To finish the step number 4, we convert the yellow and violet lines into 2D using the method, moment when we can measure the angle between them without any kind of distortion.
The value in blue is the answer the method gives.
The red value and the blue one are completely equals with such accuracy that I cannot think it is only a coincidence, it must mean that the two triangles are exactly the same with no margin of error.
Summarizing, what I am really interest to know now is if something like this method has been already made or I am the first person who discovers it. I tried but I found nothing even similar to this, what makes me think. This method is so easy to use that learning perspective in school should be like, first lesson, learn about the horizon line, second lesson, learn what vanishing points are, third lesson, my method, and you are done, you mastered linear perspective.
But If I never heard nor read about this It could mean, just maybe, that this has not been already discovered before.
And the most important part of this method is not about geometry if not how much of the concepts behind it can be extrapolated to other sciences, specially physics.
Because if you can say the universe is made of numbers then you can also say the universe is made of lines, given that geometry is nothing but visual mathematics.
This method works as a charm, every time I used it the accuracy was absolute, I never got even the minor error. Perfect. Always. Like a law of physics.
To begin with, let's find out if something similar to this has been already discovered. Ask your teachers, mates, anyone interested in geometry, technical drawing, maths, physics, etc. Download the image and share it, share this deviation wherever you want too, share if you think this could be something big and you want to be part of it. Big things have small beginnings too.
An then we will see. I don't expect much in the short term, but who knows in the long one.
For now, what I have found out thanks to all of this is that universe is nothing but a singularity, and that it is not infinite.
Universe is the infinite itself.