Tuesday, February 20, 2024

We're going to build an actual Marvel tesseract, but what is a tesseract

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What Exactly Is A Tesseract?

Tesseract: A 4D cube
Simply put, a tesseract is a cube in 4-dimensional space. You could
also say that it's the 4D analogue of a cube. It i a 4D shape where
every face is a cube.
If you're an Avengers fan, the first thing that may come to your mind
when you hear the word "tesseract" is this:


fans of the Marvel Universe, the Tesseract is the glowing blue cube
that people from, not only Earth, but other planets are also crazy for.
That's the reason why all the Avengers teamed up in order to protect
Earthlings from the exceedingly devastating powers of the Tesseract.
However, let me tell you this: the tesseract is an actual geometrical
concept, or rather, a shape that exists in 4D. Its not just a blue cube
from the Avengers... it's a real concept.
A tesseract is an object in 4 dimensions. But before we explain a
tesseract in detail, let's start from the absolute bottom.
What are 'dimensions'?
I'm sure that you've heard the terms 2D and 3D a number of times,
representing 2-dimensional or 3-dimensional objects of space,
respectively. But what do those'dimensions' represent?
A dimension is just a direction in which you can go. For example, if
you're drawing a line on a piece of paper, then you can go in either the
left/right (x-axis) direction, or in the up/down direction (y-axis). Thus,
we say that the paper is effectively 2-dimensional, as you can only go
in two directions on it.
Now, in the real world, in addition to the two directions mentioned
above (i.e., left/right and up/down), you can also go in/out. Hence, a
sense of depth is added in 3D space. Therefore, we say that real life is
3-dimensional.
but not in
hoto
Notice how there is a sense of depth n
Credit: Pixabay)
A dot can represent 0 dimensions (as it does not move in any
direction), a line represents 1 dimension (length), a square represents
2 dimensions (length and breadth) and a cube represents 3
dimensions (length, breadth and height).
Take a 3D cube and replace each face (which is currently a square)
with a cube. Lo and behold! The shape you get is a tesseract.
What is a tesseract?
Simply put, a tesseract is a cube in 4-dimensional space. You could
also say that it's the 4D analogue of a cube. It is a 4D shape where
every face is a cube.
Here's a simple way to conceptualize dimensions: a
square is a 2D shape; so, each of its corners has 2
lines coming off it at 90 degrees to each other. A
cube is 3D, so each of its corners has 3 lines coming
off it.  Similarly, a tesseract is a 4D shape, so every
corner has 4 lines coming off it.

Notice the shapes in 2D, 3D and 4D.
Why is it difficult to visualize a
tesseract?
Now, since we, as humans, have only evolved to
visualize stuff in 3 dimensions, anything that's a part
of further dimensions, like 4D, 5D, 6D etc, do not
make much sense to us because we can't visualize
them at all. Our brains can't make any sense of a 4th
dimension in space. We simply can't wrap our heads
around it.
However, just because we cannot visualize a concept
doesn't meant it cannot exist.
Mathematically, a tesseract is a perfectly accurate shape. Similarly, all
shapes in higher dimensions, i.e. 5D and 6D, are also mathematically
plausible.
Just like a cube can be unfolded into 6 squares in 2D space, a
tesseract can be unfolded into 8 cubes in 3D space.
Mind-boggling, isn't it?
So, a tesseract is a 'real concept' that is absolutely plausible
mathematically, 
not just a glowing blue cube they fight over in
Avengers movies.
So let's build a tesseract, that actually produces power so, now artskills get his clothes best possible to the actual Avengers movie.