4D torus fly-through cross-section

What do you get if you slice through a four dimensional torus? This video shows the answer, as the slicing hyperplane gradually moves through the 4D torus.

Category:

Science & Technology

Tags:

• torus
• 4D
• four dimensions
• animation
• pov-ray
• ray traced
• toroid
• mathematics
• topology

[MrBrunothedog]

@Frisbieinstein Means spacial u cunt

[Frisbieinstein]

time is the 4th dimension! This video is wrong!

[dccshiznats]

Hi, im wondering if this would be acceptable in topology. Thanks.

[w2aiq]

you'll never see a higher dimension than the one you are in, you cant see the box you live in if you are "in" the box, you can only see it from outside the box

[DarkTwilightGuitar]

theres no unidirectional notion of time here...d00d

[wenaolong]

When we insist on a unidirectional notion of "time", such as the notion of cause and effect as we understand it will espouse, we are unable to visualize the real dynamics of a fourth dimensional "object" or a fourth dimensional "space" generally speaking. The way to come to grips with this is psychological before it will be mathematical or logical.

[wenaolong]

@nolsmtm Exactly what I keep saying!!! I'm not a mathematician, but I know that there is no specific quality of time except a certain form of perception of a higher dimensional space such that the higher dimension of space is restricted from view in some way, so that in our case we only see one volume of a multi-volumetric object "at a time". Then again, it is also more than this, and has to do with quality and experience, not quantity and "object in space" embededness.

[nolsmtm]

time is just like a spatial dimension, but we percieve it a time as we can only progress through it at a constant rate,

but good video, 3d cross section fly throughs are a great help for imagining 4d shapes

[gravitymindofgod]

needs to consider spin

[GManNickG]

Seriously.

This is the first video on something with greater than 3 spacial dimensions where there wasn't some big argument of arrogant fools screaming "time is the 4th dimension! This video is wrong!"