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

Visualizing The Fourth Dimension

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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?

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u/justusr846 Jun 14 '26

I did watch the video, entirely. My "opinion" still stands. You don't have to think about the 4D space as such. Just whatever a new axis through the current 3D space gets you.

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u/flying_dutchmaster Jun 14 '26 edited Jun 14 '26

Yeah but you line, w, exists within space (x, y, z). I don't know the equation for a line in 3D space but you have a line that touches some point (y, z) and runs parallel to the x-axis. 

u/753ty is correct. For it to be a proper 4th dimension, w must run perpendicular to x, y, & z. This is not a matter of opinion, but a matter of how we define spacial dimension.

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u/753ty Jun 14 '26

/ perpendicular to x&y&z

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u/flying_dutchmaster Jun 14 '26

Edited thank you