Відео

1 year ago did you lose our 3d slice of your 4d world?

You need more views

Absolute cinema

Hey, is a video about higher dimensions still on the table? I really liked this video, and I understand that these take a ton of work and life gets in the way, but if you're still working on it I'd love to see it

Nice accent, mister Onigiri

2:40 let's be clear though. Does seeing the shape on the right help you visualize what cube is? No. So no visualization of a 4d thing will ever help you comprehend its shape. Just sayin.

New 4D Video plzz. We want it !

12:45 when's soon?

wow this is very nice, very nice animations

Great video! One of the best I've seen!

So cool

Actually the tiger is just another type of ditorus. Since the torus isn't radially symmetric, depending on how you rotate it before revolving it with an offset you get different shapes, like the ditorus or the tiger. Thats why tiger cross sections look like two toruses on top of eachother, and ditorus cross sections look like 2 toruses side by side. The tiger can also be created in the way you described, though.

Hi I believe you are competent at this topic. Please do not be discouraged from visualizing 5D shapes

12:45 btw id love to watch that second part video with higher dimensional objects sir 🙏🏻

3:50 quaternions: am i a joke to you

What is the relationship between this set of 4D tori and the Clifford torus? You mentioned that the "tiger" is the Cartesian product of two circles, but so is the Clifford torus (with the specification that these circles must lie in two separate two-dimensional subspaces of R4). So where does the Clifford torus fit here? Great video, very explanatory and the shapes interest me.

You need to brosh your teeth cas it is yellow

Engineering classes taught me Solidworks, and thus making shapes from extrusions and rotations, but I've never heard of this relationship system even though it should be obvious intuitive if I had only thought about it. cool stuff.

A tiger can be generated by revolving an offset torus. In fact, it is topologicaly homeomorphic to a ditorus

an absolute brilliant gem about multi-dimensional geometry. Do you already have any plans for the announced n-D geometry-Video?

Before you make your way to 5D and 6D it would be interesting to explore a bit more in this 4D realm. For example, what does the Hopf fibration of the the 3-sphere look like? A slightly harder question would be what does the tiling of the 3-sphere by dodecahedron look like. Furthermore, it is a theorem (not hard to show) that every unorientable surface can be embedded inside of 4D space. It would be nice to see how the real projective plane and the Klein bottle look from these descriptions! 😎

If you stare at 1 blue dot in the visualization it goes in an ellipse orbit, kinda like you are a Black Hole but instead of going behind u it goes right infront of u.

A spinning top has precession , what does precession lool like in 4D

so the reason we can’t truly comprehend a 4d object is because we don’t have the parameters for it in 3d

Смотрел видео про 4х-мерный гольф, указали на видео про визуализацию, вспомнил, что видел у Онигири. После этого смотрю, указан этот канал, имя то же, что у автора Онигири, захожу - и тут вы! Надеюсь, что мой комментарий на русском не испортит вам ничего, но было бы интересно посмотреть другие ваши видео на английском.

Онигири !!!!

Finnaly someone showed other rotating 4d shapes and not just a hyper cube

I love this. Seeing 4d shapes transform into 3d shapes then 3d to 2d. This is a very well done video visualizing shapes & very good animations & information.

Молодец Артем, теперь представим землю как сфероЦилиндр. Раскручивая цилиндр получаем гравитацию на внутреннем слое. Если наш шарик является цилиндром это обьясняет частично гравитацию. Может мы видим землю круглой изза ограниченного глаза? Поэтому гравитация остается тайной. Вопрос, как вывернуть внутреннюю сторону цилиндра внаружу по типу Мобиус фигуры 😮 получится торус, наружняя поверхность которого есть внутренняя поверхность цилиндра, что в свою очередь есть сфера. Представь как магнитные поля работают на таких фигурах. Магнитное поле в форме торуса как мы его знаем, но с ним можно играть также как с фигурами в итоге загоним его в сферу и поля станут вывернутыми 😅 когда получишь премию не забудь упомянуть меня 😂 раскрась поверхности внутренние и наружние разным цветом. Магнитное поле в форме торуса, это истинная форма обьекта в 5 измерении, цилиндр 4 и шар что мы видим в 3м. Земля тоже в 5м будет торусом, магнитное поле это вещество не нашего измерения с которым мы как дети играем с древности

Still only 1 vid

This is B Y F A R the best video on 4d objects I've ever seen! You actually showed how more complex shapes change instead of just showing expanding spheres and cubes and stuff!

you need to adjust white balance on your teeth

The issue with this is that you use 2D images for the 2D cross sections. We live in 3D, but we can only 2D images that move through time. So a 2D being would see a 1D image, i.e. a line. Imagine the jump from 1 line to a painting, and how much more information you get from that additional dimension. We definitely perceive the 3rd dimension, but at any given moment what we see can be reproduced as a 2D image, or 2 rather (1 for each eye). It's like how u can perceive VR as real and 3D but it's a 2D screen.

Could you try making the slices as 2--D slices in a 2-D array? I think this might be helpful for gaining intuition about 4-D rotations.

I need more

Hi Artem! This is such a great video! 🤩 I'm working on a documentary about 4D geometries, and I'd love to include a few seconds (with attribution, of course)!

Amazing video !

Cool! We are waiting for the next video!

Super Cool stuff

Excellent!

For exactly 2 seconds i could comprehend the 4th dimension.

Great Describing Brother

неожиданно

Imagine the titanic sinking onto a 2d plane 💀 😬

I noticed that the hypercube’s inner cube orbit looks a bit like an elliptical orbit with the points on the bottom square going slow when it’s in the bckground and then quickly when it’s in the foreground.

Very great video! You are wrong in saying that the duo cylinder and tiger can’t be constructed by revolution, they can. A duo cylinder is constructed by revolving a cylinder through the fourth dimension and a tiger can be constructed by revolving a torus in the fourth dimension at a different orientation than the ditorus.

your only vid so your new.

You don't really visualize 4D shapes. More 3D shadows. Our 3D brains have no frame of reference to visually understand 4D volumes.

Great video!!!! We want more videos talking about the 4d

Amazing vid!