How do l imagine 4 dimension functions? Seriously l can't...

A three dimensional circle is a hollow sphere
A four dimensional one is filled sphere

There is no possible way to point your finger without it being in the direction of 4D, unless you know how to stop time? OP is a confirmed troll and a brainlet for saying that was wrong..

This is actually how l imagine it

Can someone confirm

Obviously we are talking about dimensions of space you mouthbreathing fucktard.

All you need to create a 4-dimensional function are 4 independent variables. This happens all the time in real life. Maybe your decision to buy something is based on money on-hance, desire to have it, distance from the shop, and amount of gas in your car. Four things. It doesn't have to have anything to do with physical space and there's no point visualizing it as physical space. You want to visualize a 4 dimensional function? Easy: 1 = x^2 + y^2 + z^2 + w^2. That's a visualization of a 4D function. And it's pretty easy to understand what it means: it's the set of variables whose metric distance from the origin is equal to 1.

This is bs. Like said all variables have to have a metric distance from the origen = 1. Obviously a filled sphere has a smaller radius the deeper you go in

That's just how to work with multiple dimensions, not how to imagine them as OP requested.

youtu.be/uDaKzQNlMFw
This didn't really help me but maybe it'll help you.

I imagine 4 dimensions: I imagine a four-
dimensional hypercube around a fixed point. The fixed point is $0. The halflength of the hypercube is the amount that dinner costs. And the four dimensions are the amount of money that 4 different people are going to pay towards covering the cost of dinner.

Sounds to me like you two just lack imagination.

i just imagine the cartesian product of 2 complex planes

Care to elaborate

think of one complex plane
then another one

I'm gonna bomb a truthbomb on you absolute retards in this thread. I don't think you're ready to handle it.

There is a way to get a glimpse of the fourth dimension and the answer is to imagine a scalar function on a 2-manifold in 3D. You can imagine any 4D construction by parts this way so to speak.

>I imagine a four-
>dimensional hypercube

No you don't, because that's impossible. Also, your advice to help OP with visualizing 4+ dimensions is to say "lmao dude just, like, imagine them, dude!"

There's actually a pretty cool video on trying to imagine 4 dimensional shapes, this channel in general is really good when it comes to mathematical topics in general

youtu.be/zwAD6dRSVyI

So youre illiterae. Huh, now I feel bad for being so short.

If I were to imagine this using the 4th dimension as time, I would picture this as a sphere with decreasing radius over some arbitrary time frame measured from 0 to 1.

However, it is pretty difficult to imagine 4 tangible and independent dimensions.

Think about a sphere changing through time, so that time is the fourth dimension. To picture the value on any particular w point, determine the sphere that correlates to it. Just as you can picture a line as a series of dots, and you can picture a 2d shape as a series of lines, and you can picture a 3d shape as a series of 2d shapes, ypu can picture a 4d shape as a series of 3d shapes.

Alternatively, you can picture a 4d shape as a 3d shape made by xyz, a 3d shape made by xyw, a 3d shape made by xzw, and a 3d shape made by yzw, a multi angled view.

That's just a hologram, dope.

#
When there is an entire video by 3blue1brown with 27 min on YouTube about visualizing higher dimensions.
youtu.be/zwAD6dRSVyI [Open]
There are no excuses for any Brainlet to not understand how to visualize shit in higher dimensions.

NO

If you get a "slice" of a sphere, you get a circle.

Likewise, if you get a "slice" of a hyper-sphere, its a sphere.

>You don't, your brain works in 3 dimensions (of space) and ONLY in 3.
No. You're capable of imagining all sorts of things that have nothing to do with the scope of your own body's structure. We're not anywhere near the massive size of a galaxy or the tiny size of an atom, that doesn't mean we can't think about them either. If you can mathematically model it you can come up with some mental intuition about it.
>B-But you'd still just be using 3D thoughts!
No, your thoughts don't have spatial dimensions in the first place. You don't have literal pictures in your brain.
youtube.com/watch?v=YTRm1-7BvH8

>4D graph paper
Try 3D graph paper. You can still get a great understanding of a shpere on regular 2D graph paper with some shading, so it should stand to reason that you could make a representation of a Hypersphere on a 3D grid pretty well with some shading. But yes to get a true hypersphere one would need a 4D grid just like to get a true sphere one needs a 3D grid.

I simply imagine a 3-dimensional function over time. So a bit like a wavy piece of cloth.

What the fuck are you talking about.

Here's your answer.
>

He said fourth though
You can even kind of depict a 3d projection of a 4d image on 2d. The good old "draw 2 squares and draw lines between the respective corners"

>dude you can think in more than 3d because you just think in 4d, it works because there arent literal dimensions

if i imagine a photon what im imagining is placed within a 3d framework regardless of what i do

accept that your neural architecture prohibits you from think in any way other than 3 dimensions and get over it

Not a sphere. Just the product of a sphere rotated about its center in R^4 with a "radius" of 1 centered at the point (0,0,0,0)

>if i imagine a photon what im imagining is placed within a 3d framework regardless of what i do
link.springer.com/article/10.3758/PBR.16.5.818
>Here, we show evidence that people with basic geometric knowledge can learn to make spatial judgments on the length of, and angle between, line segments embedded in four-dimensional space viewed in virtual reality with minimal exposure to the task and no feedback to their responses. Their judgments incorporated information from both the three-dimensional (3-D) projection and the fourth dimension, and the underlying representations were not algebraic in nature but based on visual imagery, although primitive and short lived. These results suggest that human spatial representations are not completely constrained by our evolution and development in a 3-D world.

>yes the best you can ever do is imagine shitty projections and cross-section
>you will never even so much as imagine four axes all orthogonal to each other

think about how like it look when you crossy eye

then do a switch in the imagination and you see it like 4D hypercube 4D really for real its real

so cool!!!

I know that feel man

Simple: imagine n dimensions, then set n=4

Imagine the sphere extending inwards twice, overlaping itself.

You don't have to imagine it, nobody can and nobody asks you to. But what you can feel familiar with is the maths of 4D, or playing with the 3D shadows of 4D, stop obsessing over something that's impossible

XD

The fourth dimension never really was time.

Before it was more like 3 spacial dimensions + 1 time dimension.

Once you accept there are more than 3 spacial dimensions, time's position gets bumped up.

>Implying time isn't a spacial dimension and we are "falling" trough it at a constant rate

...

wormhole

That's actually a 3 dimensional sphere

Imagine it variating in time

>
time isn't a spatial dimension

these explanations are all just obfuscations and misleading or over-sell what they claim to be able to visualise.

yessssssssss

a 3D rubics cube is made by stacking 3 *3 *3 little cubes so a 4D rubics cube is made by stacking 3*3*3*3 little hypercubes

whatever that shit is it is not a 4D rubics cube

this unfortunately

An additional dimension doesn't practically coincide with our current understanding of physics. This is just speculation on what's inside your neighbor's house when you've never been outside and you also have no windows and you are blind and everyone you know and love has left you with a caretaker who has to describe to you how your own home looks.

really sci? nobody mentioned complex functions? fuck you highschool turds suck dick

visualizing complex functions (functions f: C->C) requires 4 dimensions, it's usually done with 2 dimensions and two "color dimensions"
en.wikipedia.org/wiki/Domain_coloring

>implying we're falling through at a constant rate and not accelerating

Think about the a general n-dimensional sphere. Then set n=4.

^Literally this desu. You're brainlet supreme if you let a minor issue like super-tertiary dimensions be a limit to your capacity for imagination.

Read about it
urticator.net/maze/notes.html

Did you just assume R^4's topology?

I identify as a hyperbolic 3-manifold embedded in R^4.

Think of 3D, but every point has a color.