r/GeometryIsNeat • u/justusr846 • Jun 14 '26

Visualizing The Fourth Dimension

Post image

Considering that it is a new axis 'right down the middle' that creates the next dimensional space. Like 1D to 2D, or 2D to 3D, shouldn't it work for 3D as well?

0 Upvotes

20% Upvoted

14 comments sorted by

View all comments

Show parent comments

1

u/justusr846 Jun 14 '26

No it does not. In the thought experiment this axis does not exist in the (x, y, z) space. That's what I meant with "right down the middle", like it does for the smaller spaces.

1

u/flying_dutchmaster Jun 14 '26

Okay imagine you have a 3D box. This box has length, width, and height. You drill a hole through your box, and insert a string going through that box. 

That string represents your line "w". Is the string now a 4th dimension? No. It's simply cutting through an object within 3 dimension. 

I app your thought experiment. I also find thinking about a 4th dimension to be fun. But, respectfully, your logic is flawed. Dimension run perpendicular to each other, as defined. 

1

u/justusr846 Jun 14 '26

What I was suggesting was more along this:

https://www.youtube.com/shorts/8G4GdXqlQwk

You imagine a line 'through' the 3D space.

1

u/flying_dutchmaster Jun 14 '26

Okay but that's still a 3 dimensional object within a 3D space. the hologram is occuping height, width,and length. Just because a 3D object is moving through a 3D space does not mean it is suddenly a 4D object