How Do You Visualize a Tesseract?
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- Опубліковано 30 лис 2022
- Check out my first video on tesseracts: • What is a Tesseract? A...
Tesseract Moving Through 3d Animation: ciechanow.ski/tesseract/
The nature of 4-dimensional shapes is extremely confusing to our 3-dimensional minds, but here is another method to help conceptualize these higher dimensional shapes. The 4-d space is one of those things we aren't capable of directly visualizing, so we must rely on these translated models to aid our understanding.
Intro/ Outro Background obtained from Videezy.com
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Created By Ben Mesko
I love finding gems like these channels. Hopefully this isn't your last upload because theres so much potential here :)
I have another batch of videos I’m working on right now :)
@@OnTheShouldersofScience mans thats awesome! cant wait.
Agreed.
Such a great youtuber. amazing small channel. the amount of thought put into these videos is so cool
Hey Ben, first time watching your video. I really like the calm, clear way you explain things. Definitely worth a like and subscribe.
The only point I would like to make is that a 2D being would not see rectangles or circles when 3D shapes move through thier world. To see that perspective, the 2D being would have to move into the 3rd dimension. They would see everything as line segments. They could still have depth perception, so the sphere would look like a point, then a small curved line, then a larger curved line, then a shorter curved line, a point, and then nothing.
Sometimes it's just as difficult to think in 2D as in 4D.
Thank you for pointing that out. This is very true. I think the clarification I should have made was that a 2d creature would be able to map out the circle or square by moving around. This is similar to how, in our world, we can only truly understand a 3D object by seeing it from multiple angles
I wonder if it’s at least theoretically possible for the human brain to comprehend another spatial dimension, as in another special dimension 90 degrees perpendicular to ours. probably not though.
That's the idea: All spatial dimensions are 90˚ perpendicular to all the others. But we still can't conceptualize where that 4th vector would point. Maybe technology could make it possible in the future!
When I look at a tesseract I see a big cube with a smaller cube inside of it and held in place by 4 arms starting at the 4 inner corners of the big cube to the 4 outer corners of the little cube perfectly centered inside the big cube. Is this what other people see?
I'd appreaciate it if you'd link the article where you found that simulation in the description. Also, if I were you I'd introduce the slices of the tesseracts by rotating it so that is goes through our world side first, making a rectangular prism (analagous to the rectangle formed when passing a cube edge-first into a 2D world).
I really liked your channel. Keep on, champion! Greatings from Brazil!
Thank you so much :)
Thank you now I finally understand 🙏
Thank you! I’m glad :)
UA-cam has been recently recommending me small channels recently but I'm not mad
Thank you for not being mad, haha. Trying to grow though!
Here's how you imagine a 4d shape. Imagine a direction that doesn't exist in our perception, and put cubes in it. 3rd dimension has z y and z axis. 4th dimension has x, y , z, and w. Now imagine that the w axis isn't just a plane, but an entire volume that we can't see. Good luck.
If 4th dimensional space exists, it is an entire extra 3d space that is somehow beyond our perception. And a 5d space would have an entire 4d space that 4d cant see. And so on.
This man touched my daughter!
He touched me too
@@Evan-hz5hdAnd me too.
Not quite right mate…the cube moving through a 2D plane does NOT look like a square to a 2D plane inhabitant. Only a 3D person can look DOWN upon the plane to see a square. The plane inhabitant sees only the nearest edge of the square…so it looks like a line. He CAN move around the shape to understand it is a square, but not see it. It is the analogous concept to us understanding a 3D shape even though we don’t see all its surfaces at once.