Given that we can visualize three dimensional shapes in two dimensions,

Yes. In fact you can draw a 4th dimensional object in 2D. In fact you can draw a 4 dimensional object in 1D, but it will just be a straight line.

>>8677361
>what is a projection?

File: 8-cell_net.png (127KB, 797x1071px) Image search: [Google]

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A fourth dimensional shape called a tesseract depicted in 3 dimensions.

>>8677361
No trying to imagine four spatial dimensions is beyond impossible because our brain is tuned for 3D existence dumbass.

File: 3d-geometric-shapes-cube-net.gif (29KB, 1000x1294px) Image search: [Google]

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>>8677397
Sorry that's actually a net of a tesseract not a 3 dimensional depiction of tesseract. Kinda like how this is a net of a cube.

File: 10.jpg (144KB, 506x470px) Image search: [Google]

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Here's a 10-dimensional object

animation. you can display an entire 4D julia set only if you watch it as a video. each frame of the video is one of the 3d slices

File: black-dot[1].jpg (6KB, 800x533px) Image search: [Google]

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Hey guys, check out this visualization of a 10000000th dimensional object drawn in 0D

Keep in mind, you're viewing the 2-d paper from the perspective gained by a third dimension. Imagine looking at a picture of a 3D image on 2-d paper from inside the paper. You'd just see flat lines, not a 3D image. If you had 3D paper that you could look at from a 4D perspective, then yes, but you don't, so no.

>>8677458
Don't you mean 2D representation of the idea of 0D?

>>8677421
>tfw, to intelligent to think in a mere 10 dimensions

File: 8-cell-simple hyper solid.gif (687KB, 256x256px) Image search: [Google]

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>>8677361
It is possible to do it in two dimensions simulating three dimensions. I'm not sure if it allows yoou to really visualize anything, but it is cool to look at.

File: 8-cell hyper solid.gif (3MB, 255x255px) Image search: [Google]

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>>8677518

File: 16-cell-rotating hyper solid.gif (1MB, 256x256px) Image search: [Google]

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>>8677524
Or try this one.

File: 24-cell hyper.gif (1MB, 256x256px) Image search: [Google]

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>>8677527
Or why not go completely mad!?!

>>8677531
To my mind, at some point it is no longer possible to follow enough of what is going on to make it interesting.

>>8677537
And forgot to post pic that goes with this, and it is too big to post anyway... so sorry.

https://wikimediablog.files.wordpress.com/2016/09/120-cell.gif?w=254&h=254

>>8677527
reminds me or ramiel from NGE

>>8677545
Weebs will be purged

>>8677361
OUR BRAIN SEES IMAGES IN 2D YOU FUCKING RETARD INBRED TRUMP VOTER

BRAINLETS GET OUT OF MY BOARD

watch the dawkins video

Someone living in 2-D flatland would only see one dimension though; Height. He has no way to perceive depth. Unless he was moving at a constant speed relative to another object, at which point he could measure Depth as function of time.

What if we are moving through four dimensional space at a semi-constant speed and measure the fourth spatial dimension as time due to our limited perspective?

>>8677361
>we can visualize three dimensional shapes in two dimensions
And often multiple interpretations of rendering it in 3d. We see--old lady or young woman--by subjectivity.

>>8677572
Really? My brain does the whole "integrate two images from two eyes, create depth perception" thing.

>>8677634
i meant sagan. fuck

>>8677518
I wonder if holographic technology will help with this since its creating a 3d shape with light vs a screen creating a 2d shape with light.

VR headsets might work aswell but thats still a 2d screen in the headset

>>8677361
What if like, shadows of objects is the fourth dimension/a dimension?

>>8677361
Dimensions are a made up concept, bud.

>>8678532
everything is a made up concept

>>8678526
Shadows are 1 dimensional
We see in 2 dimensions
Seeing a object from all sides at once is 3 dimensional

File: 1484717422895.jpg (32KB, 550x428px) Image search: [Google]

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>>8677361
god damnit, we had this exact same thread yesterday

https://en.wikipedia.org/wiki/Kirby_calculus

unfortunately this page doesn't have any pictures

this article was linked on the wiki page:
http://www.physics.upenn.edu/~chb/pubs/onehandle.pdf

it seems reasonably well-written, and should at least give you an idea of what goes into the pictures

File: Tesseract.gif (491KB, 256x256px) Image search: [Google]

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>>8677361
Yes, it is possible to create the shadow of an n-dimensional object in an n-1 dimensional space. It is also possible to draw the shadow of an n-1 dimensional shadow of an n-dimensional object in an n-2 dimensional space. Pic related.

>>8677415
>>8677397
those are just projections of the shadow of a 4D object. OPs pic is a projection of a cube itself, not just its shadow. there's a significant difference in information and that's due to our ability to see perspective stereoscopically. you can't do that with 4D.