4th Dimension Explained âș Tesseract Hypercube Visualized More Than 4 Ways
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- Äas pĆidĂĄn 5. 05. 2024
- Introduction to the 4th dimension, where we visualize a tesseract (in the family of hypercubes) by building from 0D to 1D, 2D, 3D, & 4D. Many fourth dimensional illustrations are utilized for visual learners. We also share examples from Flatland, how a 2D object views 3D shapes.
đ© / carlosfarias
1D, we have 2 0D points
2D, we have 4 1D lines
3D, we have 6 2D squares
4D, we have 8 3D cubes
0:00 0D to 3D
2:59 4th Dimension
5:06 The Hypercube: Projections and Slicing
9:01 4 Pieces of Art
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đ„ Watch Further
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đŸ Works Cited
Intro song from "The Fourth Dimension" movie, actually a collection of 3 short films by Harmony Korine, Jan KwieciĆski, and Aleksei Fedorchenko. It's weird but good. Val Kilmer really swings for the fences.
âą The Fourth Dimension O...
"Drawing the 4th, 5th, 6th, and 7th dimension", Physics Videos by Eugene Khutoryansky. (2012). Creative Commons Attribution license (reuse allowed).
âą Drawing the 4th, 5th, ...
"Exploring other dimensions - Alex Rosenthal and George Zaidan", TED-Ed. (2013). Animation by Cale Oglesby.
âą Exploring other dimens...
By Vitaly Ostrosablin - Own work, CC BY-SA 3.0, commons.wikimedia.org/w/index...
By A2569875 - Own work, CC BY-SA 3.0, commons.wikimedia.org/w/index...
By CrypticGamma - Orthogonal Tesseract Gif, CC BY-SA 4.0,
commons.wikimedia.org/wiki/Fi...
By Spiritia - Hypercube-construction-4d, Public Domain,
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Tom Moody (2007) www.digitalmediatree.com/tommo...
celine.thejaida.com/2019/12/1...
Banchoff & Strauss. "The Hypercube: Projections and Slicing" (1978)
âą "The Hypercube: Projec...
matematita.science.unitn.it/4d... (2007)
commons.wikimedia.org/wiki/Fi...
Dali, Salvador. "Crucifixion (Corpus Hypercubus)" 1954.
en.wikipedia.org/wiki/File:Da...
©1999 Artists Rights Society (ARS), New York / VEGAP, Madrid
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#4thdimension #4D #tesseract #hypercube #3D #2D, #1D #0D #flatland #cubes #fourthdimension #4Dexplained #carlsagan #4Dvisualization - VÄda a technologie
![Visualizing 4D Geometry - A Journey Into the 4th Dimension [Part 2]](http://i.ytimg.com/vi/4URVJ3D8e8k/mqdefault.jpg)
What is your favorite representation of the 4th dimension in any medium (books, tv, movies, gifs, etc)?
HYPERSPHERE
Can time be 11th dimision?
@@grieshma634 I will likely be doing a video on time's relationship with regards to dimensionality. Stay tuned! =)
@@grieshma634 Time is a factor of any N dimensional space, it can be factored in or out of it. It is in itself a dimension, but it is not a dimension of space directly... You can describe spatial dimensions without any notion of time! It isn't until you involve the use of mechanics, motion or transformations that time becomes a factor.
Mathematics, specifically polynomial progression through integration!
Let's consider 1D space as being 2 distinct points that gives us a line segment that in itself is a vector with a length or magnitude defined by the distance between those 2 points. This gives us 1D space and is equivalent to being linear or having linearity. For example, y = mx+b is the slope-intercept form of a line. If we ignore the slope and the y-intercept we simply have y=x. This is the identity equation. For example: -1 = -1, 0 = 0, 1 = 1. Also this line is a bisector to the XY plane. It has a slope of 1 which is also a 45 degree or PI/4 radian angle that is between the line y=x and the x-axis. We can take this equation and turn it into a function as such: f(x) = x. Here x has an exponent value of 1. The exponent itself for this polynomial represents which dimension we are in, and and how many coordinate attributes there are. I didn't say coordinate components since there are 2 points and each point can have any number of coordinate positions. However, the length itself has a single attribute defined by X its magnitude.
Okay let's integrate f(x) = x. We end up with F(x) = (1/2)x^2. We can omit the constant factor in front of our x value since it is irrelevant to this progression. So we can treat this as simply being f(x) = x^2, This time around the exponent is a value of 2, the input is the length of one side and the output is the area giving us a 2D spatial object and in this case for all values that are > 0, this represents all the possible combinations of positive length x to its area defined as x^2 giving us a continuous function that is a representation of all squares.
If we continue this progression of integration by increasing our exponent to the polynomial by 1 each time we can build this table of relationships...
0D = x^0, zero vector, arbitrary points
1D = x^1, unit vector, length, linearity
2D = x^2, planar regions, geometrical shapes with an enclosed defined areas, quadratics, and rotations.
3D = x^3, volumetric regions, solids, volumes.
4D = x^4, hyper volumetric regions, hyper solids, hyper volumes...
...
ND where N approaches infinity: ND approximates to a perfect hyper spherical volume (not the same as a hyper sphere in 4D). Just as you increase the number of sides in a given polygon as the number of sides N approaches infinity the polygon converges or approximates to a perfect circle, within higher dimensional spaces, as the order of exponent within the polynomial increases and approaches infinity, its hyper volumetric regions will converge or approximate to a perfect spherical volume. What will truly blow your mind away is this... when N reaches infinity (which it never will) but at infinity space wraps back around onto itself starting back at 0D...
How does or can this happen? Well let's consider some properties of our linear equations along with some fundamentals of Trigonometry. Let's go back to the slope-intercept form of a given linear equation: y = mx+b. For this we are going to fix all lines to intersect the origin (0,0) for simplicity. The focus here is on the slope defined by m as being rise/run. There is a simply formula to evaluate the slope from any 2 coordinate points that belong to this line: m = (y2 - y1)/(x2 - x1) which is the difference in the change of y over the difference in the change of x. We can rewrite this as being deltaY/deltaX or simply dy/dx. Hmm doesn't dy/dx look familiar? You'll see it all throughout calculus! Okay, so how does the trigonometric functions and properties come into play?
It's quite simple. The change in height or y is sin(t) where t is the angle between the line y=mx+b and the x-axis and the change in length or x is cos(t) again where t is the angle between the line y = mx+b and the x-axis. We can then rewrite this as being sin(t)/cos(t) and through trig substitutions and or identities we can rewrite this as simply being tan(t).
Now we can take the slope-intercept form of the line and express it as the following: y = tan(t)x + b. To prove this let's use the same simple form of the identity equation y=x or f(x) = x. Here we know that b = 0 because it intersects both the x and y axis at 0 as it passes through the origin (0,0). We know that the slope is 1. Since both the x and y axis are perpendicular or orthogonal to each other we know that they are at 90 degrees or PI/2 radians from each other. Since the line y=x bisects this angle we know that theta or t is 45 degrees or PI/4 radians. If we take the form f(x) = tan(t)x + b and use our trig substitutions we can write it in its expanded form: f(x) = sin(t)/cos(t)x + b. Where sin(t)/cos(t) is its slope and b = 0. Here we know that sin(45)/cos(45) = 1 because both the sine and cosine are equivalent at 45 degrees!
So what does this have to do with space wrapping back onto itself as its dimensionality converges at infinity bringing us back to 0D space? Well, it is no different than the behavior of the trigonometric functions specifically the tangent function as we begin to rotate around the unit circle.
When we have a horizontal line it will have a slope of 0. This means that there is constant change in the horizontal direction or within x while there is no displacement in the vertical direction or within y. We can use the fraction 0/n to represent the slope of all horizontal lines, and to make things simple, we can set n = 1 since 1 is the unit vector since 0 divided by anything is 0. Also, for any angle t that is the range of 0 < t < 45 degrees the slope is then a fractional part where the numerator or sin(t) < the denominator or cos(t). When t equals 45 degrees the slope is 1 because sin(t) = cos(t).
Now let's observe what happens when our angles increase above 45 degrees... As we approach 90 degrees the opposite is now true, our numerator or sin(t) is now > the denominator or cos(t). So for any angle in the range of 45 < t < 90 we will have either a integer whole value or an improper fraction defined as A/B where A > B and B > 0. So what happens when the angle t becomes 90 degrees?
(continued...)
Me stoned - oh yes I get it now.
haha. heavy man. đ
Me too, unless I'm having some mushroom tea then not only do I understand it I usually look at it from the inside đ€Șđ
@@DocRockBaby I gotta try some of this tea!
@ppopp 6
420 hz the communion of time loopholes where the glass is both half empty and half full, we would make it if we didnt get the cottonmouth from the physical aspect.
Hey the difference is
I rolled the entire blunt for me, I will share but you gotta roll your own.
Others may think it a little hard up, but they will get over all that mess.
Provision is made and giving is an actual thing
most miss for not seeing it with initial sobriety.
Here we all find the point is the message, not the messenger as he doesn't hate the player or the game for none was being played to others.
@@kozmicre982 class reply đ it was so good I read it twice đđ
Guy explaining 4D in a 3D World on a 2D screen to my 1D brain đ§ .
Haha! WORD! Well said, exactly right lolz...
Your brain is amazingâ€
but not yours â@@2100ADchallenge
Overrated meme
This comment is on LITERALLY every video about 4D. GET A LIFE!!
When you start to think you'll understand the hypercube, then you just realize it was a mistake when you look at it rotating.
Felipe, I find it easier to process while rotating!
Well, you can never draw a cube in a piece of paper with perfect "Three 90 degrees" at the vertices. Same goes when you try to present a 4D tesseract in 3D world. It seems mistake, but isn't.
@R C haha
I would love to see a 4th dimensional structure like a house. Imagine pressing a button and your house shifts. You would need 8 adjacent rooms that with the press of a button can mechanically go from the front yard to the backyard. The same exact room that just goes to a different physical location without you moving. That would be amazing.
Hey Jose, there's a scifi short story about that...
"And He Built a Crooked House"
homepages.math.uic.edu/~kauffman/CrookedHouse.pdf
That would only work with us though, for 4d beings it's just another direction that can move in, for us it's an entire shift on what the house is
Imagine how much a 4 dimension house cost four dimension million lol haha
_[obscure reference]_ Would you have to solve puzzles before moving between rooms? Because I might pass on that :)
Sounds like the premise for a horror film! :)
Still looks 3D to us no matter the angle, our minds canât even imagine what 4D would look like
Speak for yourself
@@Emil_LLscpfan arent you human?
@@HarutoVA hol up you humans think all intelligent live is human? You guys are more self Center then i throught
@@Emil_LLscpfan i thought only low-intelligent species watch youtube. Maybe i was wrong or maybe youre more lower than us in intelligence?
@@Emil_LLscpfanso you can imagine being able to process information without the need of time? First, youâd have to be able to survive living in the 4th dimension. Good luck doing that in this physical body. Funny that âtimeâ seems to be peopleâs need to associate or orientate or ground themselves with whatâs consistently fleeting themâŠđ€
I have watched presentations on the fourth dimention for years. Each time some part of them would get a little clearer. However, I could never see the image as intended. This presentation is very well done. For the first time I feel that I can understand what is happening. The two colored boxes rotated in the four dimentional field followed by the presentation from Brown University (5:23) did it for me. I have watched this entire presentation twice and plan to watch it again in the future. I am not critical of the other videos. It could be said that the other videos prepared me for this presentaion. Thank you for excellent presention on hypercube visualization.
Thomas, thank you so much!! Such kind words. đ
Very glad it was useful for you!
Also at (8:50)
One total lie. How can you fool people like that?
Lies from the very beginning to the very end. I have declared war on Flatland's lie.
I will not write long - there is nothing that does not have three dimensions - no flat person on a plane will see anything because it does not exist. Neither a point, nor a line, nor a plane exists and cannot be seen.
Simple proof - cut a banana or cucumber into slices ZERO thick. Enjoy your meal!
i ve also seen a lot of videos of 4D representation for years. I think this is the best video i ve ever seen. Somehow 4D patterns just started to make sense to me.
fascinating! the absolute best illustration of the fourth dimension I've seen yet! I was finally able to grasp it, eye-opening and incredible
Thanks for your kind words!
This is the best description of 4D thus far.
â@@Carlos.ExplainsI have the most integrated and extensive unification and understanding regarding physics/physical experience and TIME.
What is GRAVITY is, ON BALANCE, an INTERACTION that cannot be shielded or blocked. CLEARLY, gravity AND ELECTROMAGNETISM/energy are linked AND BALANCED opposites (ON BALANCE); AS WHAT IS E=MC2 IS GRAVITY; AS the rotation of WHAT IS THE MOON matches the revolution; AS TIME is NECESSARILY possible/potential AND actual ON/IN BALANCE; AS ELECTROMAGNETISM/energy is CLEARLY AND NECESSARILY proven to be gravity (ON/IN BALANCE). Consider TIME AND time dilation ON BALANCE. INDEED, consider what is THE EYE ON BALANCE; AS c squared CLEARLY AND NECESSARILY represents a dimension of SPACE ON BALANCE. This explains the fourth dimension. CLEARLY, gravity AND ELECTROMAGNETISM/energy are linked AND BALANCED opposites (ON BALANCE); AS the stars AND PLANETS are POINTS in the night sky; AS the rotation of WHAT IS THE MOON matches the revolution. Consider TIME AND time dilation ON BALANCE, AS WHAT IS E=MC2 is taken directly from F=ma; AS a given PLANET (including WHAT IS THE EARTH) sweeps out equal area in equal TIME. What is GRAVITY is, ON BALANCE, an INTERACTION that cannot be shielded or blocked, AS ELECTROMAGNETISM/energy is CLEARLY AND NECESSARILY proven to be gravity (ON/IN BALANCE); AS TIME is NECESSARILY possible/potential AND actual ON/IN BALANCE. Great !!!! Notice what is the TRANSLUCENT AND BLUE sky ON BALANCE. CLEARLY, ON BALANCE, I have mathematically proven (and explained) what is the fourth dimension. Magnificent.
By Frank Martin DiMeglio
One total lie. How can you fool people like that?
Lies from the very beginning to the very end. I have declared war on Flatland's lie.
I will not write long - there is nothing that does not have three dimensions - no flat person on a plane will see anything because it does not exist. Neither a point, nor a line, nor a plane exists and cannot be seen.
Simple proof - cut a banana or cucumber into slices ZERO thick. Enjoy your meal!
The phenomenon of the existence of anything is that the entity is 3-dimensional. Deleting 1 of the spatial dimensions means non-existence.
This can only be called intellectual fun, provided that we violate logic at the beginning.
The fact that a 4d âbeingâ can see all sides of a 3d object at once reminds me of people who have near death experiences and say that they can see from everywhere all at once somehow. This makes me wonder if the soul or spirit or whatever exists simultaneously but in the 4th (or higher) dimension. I may be thinking of that wrong because honestly I donât fully get this and never have, but thatâs what comes up in my head.
i also think that the world of 4th dimension might possibly be the world of spirits and non physical beings, and it somehow blows my mind!
@@diivarya @poisonfortheweak, I'm open to these possibilities!
@@diivarya you are correct đ
Nah
You can also see this if you get very high on edibles sometimes đź
I found it helpful to draw one out. Big perception improvement. 4th dimension is wild. Very eye opening and so much more dynamic than three dimensions.
One total lie. How can you fool people like that?
Lies from the very beginning to the very end. I have declared war on Flatland's lie.
I will not write long - there is nothing that does not have three dimensions - no flat person on a plane will see anything because it does not exist. Neither a point, nor a line, nor a plane exists and cannot be seen.
Simple proof - cut a banana or cucumber into slices ZERO thick. Enjoy your meal!
The phenomenon of the existence of anything is that the entity is 3-dimensional. Deleting 1 of the spatial dimensions means non-existence.
This can only be called intellectual fun, provided that we violate logic at the beginning.
Smoke Salvia and you will see 4d for real đœ
The way I like to think of the 4th dimension is the rotation between a modular experience and the experience intertwining; creating a reality and sub reality which are always intertwined. An example Of this in reality is when you see something in a dream then experience an aspect of the dream appear in real life. Itâs a dialectric circuit which keeps itself in circulation (like a heartbeat). What one thinks one feels and what one feels one thinks and the basis of this creates your modular reality. Experiencing yourself outside of yourself then experiencing the model inside. This is why a tesseract shape is also conjunction with space travel and aliens; because it is another being (the model) entering into the plane of another being (the reality). This is why the 4th dimension is not necessarily seen but is happening at all times
Iâm visualizing it as it bleeds into all the different dimensions or laws like an octopus arms connecting all em
Iâll just scrape my jaw off the floor and put my head back together now. You blew my mind with this video. Excellent work.
Thanks Angela! Much appreciated. =)
I just love my brain trying to process something it can't process
Why not try? Maybe it's possible :D
Hey Fitz and Fries, I do too! I think it's quite useful to (at least occasionally) go beyond the boundary of one's own understanding.
Feels like flexing my brain lol
Lol same
The rotation makes all the differnce in visualizing it. Thank You!
Still gonna get this one day just as somethings that used to be above my head are now easy for me to understand and recall, I am confident this will also become a part of that category as I continue pursuing the truth and learning as deeply as I can
eat some Shrooms.
Stay curious!
@@fungi42021 :)
"The Hypercube: Projections and Slicing", I have never seen this animation before and the explanation of it is wonderful!
What clicked for me was when this clarified that the hyper cube animation is merely the SHADOW that a 4D cube would cast, and it makes sense once you see the 2D shadow a 3D cube casts, only itâs one dimension up.
Wow... wish I discovered you vids sooner. If children can train their minds early on to understand/see in 4-D what they can convince & create mathematically, scientifically and artistically will be mind blowing. Go next generation!! Outstanding video - Thanks đđŒ
I think that you can also interpret this as the points doubling each time. Notice how 0D is one point, 1D is two points, 2D is four points, 3D is eight points, and the hypothetical 4D would be 16 points. You might be able to go up from there.
Interesting how that hypothetical pattern correlates with the binary system: 2,4,8,16,32 and so on.
@@kvistfrittkvastskaft god it must suck for the 4d guys to think of 5d shapes,32 points?! đ¶ đ«
@@easports2618 lmao
you donât need to add 2 points. you can just add 1 point after 1D line for a 2D triangle. and another point for a 3D triangular prism. making 3D 4 points.
@@easports2618 more space for neuron connection in 4d so I think it will be easier for them
Best description I've seen so far - Thanks
i love watching representations of the fourth dimension in two-dimensional videos created for three-dimensional creatures
The 3rd dimension can be thought of as only a tangent to the 4th dimension, whether as an atomic orbital or 90 billion cubic light years.
Likewise, the 2nd dimension can be tangential to the 3rd dimension, transecting the latter within any planar shape.
Following in kind, the 1st dimension can be a tangent to the 2nd along any form or length of line.
Finally, the 'zeroth' dimension, only a point or singularity, can be tangent to a line only at a singular location.
Each inferior dimension is the 'moment' of the superior dimensionality. Therefore, any length of time is in tangent, as a mere moment within the 5th dimension. Etc., etc.
Thanks. That helps. Still Trying to wrap my brain around it.
This was remarkable, thank you for putting this together, I can genuinely say you helped me to understand what a hypercube is, thank you!
Thanks Phoenix! And rad jewelry! đ
@The Truth w/ Carlos Farias thank you!
One total lie. How can you fool people like that?
Lies from the very beginning to the very end. I have declared war on Flatland's lie.
I will not write long - there is nothing that does not have three dimensions - no flat person on a plane will see anything because it does not exist. Neither a point, nor a line, nor a plane exists and cannot be seen.
Simple proof - cut a banana or cucumber into slices ZERO thick. Enjoy your meal!
The phenomenon of the existence of anything is that the entity is 3-dimensional. Deleting 1 of the spatial dimensions means non-existence.
This can only be called intellectual fun, provided that we violate logic at the beginning.
This was a really awesome video. Thanks for sharing this. Best 4D breakdown that I have seen yet
Agreed. One of the best if not the best
One total lie. How can you fool people like that?
Lies from the very beginning to the very end. I have declared war on Flatland's lie.
I will not write long - there is nothing that does not have three dimensions - no flat person on a plane will see anything because it does not exist. Neither a point, nor a line, nor a plane exists and cannot be seen.
Simple proof - cut a banana or cucumber into slices ZERO thick. Enjoy your meal!
The phenomenon of the existence of anything is that the entity is 3-dimensional. Deleting 1 of the spatial dimensions means non-existence.
This can only be called intellectual fun, provided that we violate logic at the beginning.
Thanks for this excellent and entertaining explanation. â€
It's like the original shape evolving as the dimensions increase thus creating a new geometric shape using the previous dimension shape and different facets can be seen as the perspective/rotation changes. This can be applied to a person evolving and advancing. Very nice video!
God no! It's not evolving. The tesseract is just rotating. Our 3 dimensional brains create an illusion that it's "evolving". Look at the shadow of 3D cube rotating perpendicular to the plane of projection. You'll get it. But I can clearly see you're not a math student but that's okay...
I really hope you make more videos like this. Very well summarised.
Thanks Throne! I plan on it. :)
This is the stuff I try wrapping my mind around in the wee hours of morning.. and.. this is why I never sleep!
My eventual understanding came from seeing the different rotations. Thank you!
The dimensions progress in a Fibonacci sequence! Only makes sense đ€ Youâre onto something! And Iâm watching with a smile cause weâre on the same frequency đ keep it going
Excellent point, I hadn't noticed the Fibonacci connection. And thank you! Sending positive frequencies right back at ya!
Es complicado, pero me encantĂł. Loved how you explained this and your humor
Thank you so much! đ
Finally, a video explaining the 4th. dimension with/while showing & explaining 0D 1D 2D 3D and their relevance to each and their perspectives. after going Back multiple times over and over watching parts to let it really sink in, I have a greater grasp, understanding Now "(I'm not stuck anymore") and ready to move on and study to learn more if my mind is ready..? after watching this video, I believe I am better equipped to do so, Thank YOU sooo much Carlos Farias.! I have Subscribed, WelderX
This video blew my mind. SO helpful conceptually, and helping to understand dimensional thinking.
Thanks Remni! Love to hear this.
Thank you for sharing this that was very interesting.
Glad you liked it! đ
I have been fascinated by tesseracts for years but only in the past couple of years have experienced for a matter a half hour or so that I live in five dimensions at least where time is not a line,but a plane where multiple pathways permit variations in four dimensional space as illustrated in the film Back To the Future and many SF stories. In these two extremely odd experiences large structures like buildings were in slightly different places and shrubbery in a nearby park was noticeably different. This frightened me that I would be permanently displaced but somehow. in a matter of half an hour or so I returned to what we consider normality to my great relief. There is no way I can prove this so I am helpless to explain it to others, but I am convinced our universe is far stranger than is generally acknowledged,
did the experience occur naturally all of a sudden or ? what trigerred it
It merely was that a familiar place was strikingly different. I have no idea what caused me to be there nor how I got back to what is normal for me . Considering that time is the fourth dimension, this was a five dimensional experience.
@@jansand4711where were you when this took place? Were you at the actual locations youâre describing? I mean..was your physical body there?
I was there physically and all sorts of things and buildings were not in their normal place. in a matter of hours I found my surroundings had returned to their normal place, it was a frightening experience.
Excelent explaination. Thank you
these four dimensions deal sets my little brain on fire every-time time i watch them
I've seen so many explanations over so many years, and this is the first one that actually clicked for me. Thanks
Trippy how some biblical angels are described as basically rotating inside themselves. (Wings and eyes in every direction, hard to look at) sounds like a possible description of a person rotated on all sides.
Or how language has us using visual analogies (involving space) to describe so many things (rent going up ; Christmas is coming up ; moving forward ; arguments going in circles)
Now, if you're someone who believes your words are a power that shape your reality. I want you to think about this. And take some mythology into consideration--the tower of babble fell when our languages got jumbled up. Could this be a poetic tale of when we started speaking... measurements?
So theory, we could perceive the 4th dimension at one point in history. This would explain an uncomfortable amount of the obscurity in old religious text.
Food for thought.
So that painting with a woman drawn from many sides in one (cant remember the famous artists name) is a 2D representation of a potential 4D Lady?
Iâve always thought of angels/demons as from another higher dimension
having never seen the "net" before, thats exactly what i visualized when you discribed the all the demnisions in order
Fascinating and well explained.
Thank you, Dr. Isom!
My brain just caught fire and burned a perfectly good hat.
@xzombielar exactly what I intended! (it can help to revisit the topic again later!)
"Why didn't you tell me that my hat was on fire???" I thought it was part of your look." "It's a new hat."
Mighty Booshđ
It's 7 am ain't been to sleep Lol science is taking over my life đ«â€
Lol...I totally understand
@@Hyacinth600 â€
The Three Body Problem series helped me get a better understanding of dimensions, now I can follow physics videos a bit better.
This was amazing to watch. Thank you.
One of the things I think people get stuck on for visualizing 4d space is how to navigate it. They can follow orientation of the object up until its tilted on a 4d axis. Since we can only view it in 3d space we need indicators signifying where on a 4d object or plane of existence we are looking at it. I've seen some use music notes (do re me fa so la te Do) to coordinate points. I think it's worth exploring refined visualizations with orientation. The red and green 3d cubes was helpful, but we need more for the 4d visualizer than 2 colors.
where can I enter the 4th dimension? where is it? or is it just text on paper and words coming out of a mouth. formulas. math. a thought experiment? WHERE THE HECK IS IT?
@@keep_walking_on_grasshahaha I feel you
I have some questions (feel free to join in on them):
1. Which dimension is slime (the pulling apart and folding the matter into itself part)?
2. Which dimension is a Picasso painting (the part where the subject is depicted in multiple angles at once)?
3. Could you give us examples of where or how the 4D could occur in our 3D world (like, do we have 4D inside our bodies)?
4. Which dimension are our brains (imagination, thoughts and eyesight/5 senses) made of?
Please comment on this - I am so very curious to discuss and hear your takes on them!
Hey Lilijana,
1. Slime as we know it is 3 dimensions.
2. A Picasso painting is a little more than 2 dimensions. Consider the layers of paint.
3. As far as I know, there are no 4D occurrences in the bodies.
4. As far as I know, our brains are 3 dimensions.
I believe there are 4D occurrences in our bodies as the waves vibrating within atoms that make them up. I could be wrong though and am having trouble remembering the explanation as it was a lot to grasp (Zach Star video I believe) but it made a lot of sense.
Time is the 4th. If you are talking strictly about spacial dimensions, string theory suggests 22 dimensions (I think. Can't remember properly lol). These dimensions would be *tiny* as in many, many times smaller than an atom
brilliant, excellently explained
and very easy
Really cool. First vid ive seen about the 4th dimension that i can SOMEWHAT comprehend. So interesting
I enjoyed this very much! Thank you so much for creating this video!
Thank you Wendi! More to come! đ
needs more views cus dis is hella cool
Thanks Memento! GREATLY appreciated and I hope you subscribe. =)
as a visual learner, this is probably the best explanation of this concept I've seen.
so glad my vibe aligned with your channel
As a DnD player, I can't help but to think of using a tesseract as an 8 cubed/sided dice
It's close!
Coming here to unlock the 4th dimension
Staying here for cool animations
More to come, watch this space!
9:45 dudeâŠ. I am currently in the midst of what I would call both a spiritual awakening and a intense fascination of the nature of reality. And this episode of the Simpsons, is something I saw when I was a child, but thought was a fever dream (Iâve never seen any Simpsons episodes besides this one) but somehow it stuck with me heavily. Thank you for bringing this back to the forefront of my mind again.
The Simpsons was a huge influence on me, growing up. Highly recommend the first 7 seasons or so. :)
Perfect background sounds and everything explained better the 4D concept...
U can understand but Can't properly imagine đ„đ„
Hey Masum! Is this a reference to aphantasia?
Hypothetically, could a 2D person accurately depict a representation of a 3D object? I don't think we can do this for the 4th dimension either. The graphics are cool, but they aren't accurate.
Hey Space Bubble, I think the best a 2D person could do is @2:40 in the video.
....they explain that at the beginning. You'd, as a 2d person would see a 3d person, but only in what's available to see in your 2d world.
Could a 3d person see a 4d object accurate? Apparently we can or come close. Iâm guessing if we were stuck in 2d someone would figure out what 3d would be.
@@JS-nd1po see it, yes. Accurately, no. If you were 2d you'd see whatever is directly in your line of sight. Imagine you cant look up or down and you'd only see side to side by turning your body. Your eyes would be fixed in place, you'd have tunnel vision, no peripheral sight, just straight ahead. If you were to look at a sheet of writing paper, you'd only be able to see one line at a time. It's a little tough to comprehend, but there's many videos that explain it better than I can. Essentially, you are limited to seeing all things according to your dimension. You'd see 4d objects, but only the parts visible in a 3d world.
Brilliant video, thank you đđŸ
Literally the best video I've seen on comprehending higher dimensions and various vantage points. #369
Are black holes spheres from the 4th spatial dimension interacting with 3 dimensional space? (Got stoned and watched Interstellar and here we are...)
Beyond my pay grade! But black holes are fascinating, so a likely video topic down the line. :)
@@Carlos.Explains theoretically it would make sense - it would explain the "loss of information" and the other bizarre phenomena.
If you picture a 2d piece of paper getting poked by a pencil, the point of the pencil ripping the paper would be the singularity, the mass creates a gravity well (the funnel shape) but the singularity is the punctured hole interacting with the paper is a 3 dimensional pencil interacting with the poor flatlanders who can't understand what they're seeing. The event horizon the edges of the hole as the fibers of the paper are shredded by the pencil, to 2d lifeforms, reality would be frayed around the hole and a barrier to seeing the 3d pencil that made it... (Not stoned yet, but there's always time...)
Thanks for the great content!
@@wipalo.the.artist op explanation! What continues next is what if a flatlander fell in that gravity well? Technically, falling is not possible but they will just see the hole connecting the land getting smaller and smaller and eventually fading out of view, until they hit the 3d floor. It would be bizarre
Now you confused me about something I thought I had already understood...
@@jasmeennparmar3008 how so?
now imagine, you are in flat land. you decide to go to the other side of the table, except you take a trip through the 3rd dimension. from the other residents of flatland, it would seem that you instantly teleported from one side of the table to the other. in the same way, a 3 dimensional object traveling through the 4th dimension could pop back into 3 dimensional space, and from 3d space, you will seem to have teleported. since the 3rd dimension is built upon the 1st and 2nd dimension, the 4th dimension is built upon the 3rd. logically, it seems there is no reason that a 3 dimensional object can't travel through the 4th dimension, while it is impossible for a 4th dimensional object to fully exist in the 3rd dimension.
Since it takes some time to move the flatlander in 3d world from one side of table to other, it won't seem to be instantaneous teleportatation for other flatlanders?
I never understood the tesseract nor why it was a 4D representation of a 3D cube. Not until I saw this video! đ„
Awesome infođ
So basically you see through walls, ceilings and solid barriers?
I'm not sure if that's the case... might be worth exploring in the future though!
In 3D: If you draw a circle, then draw a square around it, in 3D you could see all of the square, and everything inside the square.
In 4D: You would be able to see every point of a cube, and everything inside of it. Think a safe, you'd be able to see all parts of a 3D cube and everything in it.
Thanks for the video. Now I know that for a every movement thereâs a thousand possibilities of reactions
Subbed. Bravo bro! Thanks for making me feel smart
I don't understand why people relate 4th dimention with time. I think time it's only a bunch of chemical reaactions going on. But space in 4th dimention just runs the same. Can geometry change the direction of time?. I remember Einstain said time is relative to space and it also relates gravity but I don't undertand how a 4th dimention can change time. I also have the question how a 1st and a 2nd dimention changes in time.
Perhaps because people throw around "time is the 4th dimension", which they hear from tv and film. To be honest, I'm still wrapping my head around time's relation to all the dimensions. When I set out to make this video, I wanted to tackle the 4th dimension vs time, but as I got in the weeds I stopped and realized - just focus on a tesseract, understand that fully, then revisit time later - and we will!
without time, a 3D object cannot change
@@freshbakedclips4659 change for a 3D object is just perspective and time has no relation.
â@@dany2217 Are you implying that change in biochemistry, atoms, molecules, point A to point B, and finally the Laws of Thermodynamics are all about perspective? Hence, time doesn't exist?
Personally, I wouldn't necessarily call the 4th dimension as time, but rather "time" as a placeholder on something in which we don't know yet.
@@freshbakedclips4659 I'm not physicist but I think the proof time doesn't exist is that energy can't be destroyed so all what happens in the universe it's just a rearrangement of the matter and energy but it remains constant. If time would exists then maybe the energy could be effected by time.
I'd like to see this done with amorphous shapes like you find in the natural world . only geometric shape that i know of comes about without any human invented geometry is these octagonal slabs that came out of the ground and in the ground somewhere in Ireland or Britain
I've not been there but it's called "The Giants Causeway" in Northern Ireland.
@@dannobaxman9309 thank you for passing along the knowledge . We pay for internet and the device we access it with but we as fellow citizens of the world pass information and help each other freely . I think that's one of the things that's makes for peace amongst each other and we must keep on sharing . And what other things or factors which contribute to peace we need more of that too. And of course we all become a bit more intelligent when we pass knowledge around , learn something new everyday. again, thanks
@@name-fh3jr You're more than welcome.
Absolutely fascinating thank you đđŸ đ€
Thanks, nevamind68 T!
Best video iv seen on this topic.
DMT will allow u to see the 4th dissemination
dissemination?
@@mayganphynix8267 dimension
There's a FIFTH representation of tesseract that isn't time-based. A TRUE tesseract that is made by bending the space. Imagine a straight wire frame with 3 cubes and connecting pieces that forms the 4th cube which also forms the rest at the same time. Now warped the left side of the frame so the left side looked smaller than the right. Now bend the whole thing 180 degree. Weld the connecting pieces together. Viola! You get a tesseract made by warping space.
Very cool... do you have a link to a gif or video you can share? Definitely interested. đ
@@Carlos.Explains Idk how to simulate this as the warping gradient must be linear from right to left and the corner pieces need to bent 180 degree, connecting edges between outer and inner cubes needs to be bent towards the center, and the inner cube needs to be smaller, without causing the edges to bent. So yeah, specific acute warping of space. A pain.
Something to chew on! I'll keep my eye out for this and thanks so much for sharing!
That broke my mind more than imagining about 5D! Only if you could share a video link or gif that represents that......
I'm just super happy you pronounced GIF correctly.
Splendid
Thanks for de description
Its almost like a fish lens kind of effect.
Now that you mention it... it does have that effect!
Somehow, going into the 4th dimension makes you speak and count in Spanish. Weird
Lots of 4D concepts being used in various fields, such as HealthCare. Latest Diagnostic Imaging software is able to create a 4D model using a series of 2D pictures (slices) of an object. The system is storing a series of photos rather than a massive file, the final image is rendered on the fly into a 3D object. Thus, a Physician can rotate in and around a 3D object from a 4D viewpoint to really see if it is a Tumor or just a smudge on the camera lens. From the IT side, it has some serious computing power applications.
Sooo the âhallwayâ illusion basically means 4D objects can totally fit into the 3D world⊠this is some mind blowing stuff
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To believe something exists without being able to prove it is an exercise of "faith" not science.
"I know that it exists, but I can't prove it or even show it to you. I just believe."
Is science becoming religion?
You cant prove 4D theory because the 4D theory arrived from fantasy books. Science fiction and fantasy authors imagined extra dimensions of space and time in their stories and novel (back 1884 in the book FLATLAND (A Romance of Many Dimensions) the author imagined 4d and more dimensions in his book) and later on the subject was picked up by others authors and with the time the 4d subject evolved from fantasy into science.
@@K0ROLOV My post agrees with you. Do you have an answer to my question? Is science becoming religion (since it relies heavily on faith)?
Thanks for you post.
Thanks Carlos!
I know I am 2 years late to the party but how did we miss the movie cube 2 which is literally all about being inside of a hyper cube... It conceptualizes the space and time of a theoretical 4 dimensional space and I thought they did a great job. It's a lesser known gem of a movie but I'd recommend it but it is a saw sort of movie kinda.
Thank you for posting, my your journey into other planes shift appropriately
This SLAPS! Great video!
Felicitatie...geweldig gedaan
Now I can 'see' it rather than take a description on trust! Many thanks.
Thank you I just learnt something new today ! Iâm always curious so I just hit a video thatâs interesting ! Many thanks
This was cool. Thank you:
The best representation of how 4D world could be, i had ever seen till date
This is fascinating đâ€
Bro..this is awesome !!
thanks for the vid! I found the fisrt season of Initiation from Mattias de Stefano also very usefull in understanding dimensions
I would love a video that covers all the possible dimensions as it make the me see things in another perspective. From what I understood there was 12 dimensions or more before we could mentally comprehend any future understanding
In fact I think we have more worlds and dimensions, this life that we live is one dimension in a series of dimensions and the universe is so large that we can't even imagine.
This is the best explanation I've seen.
Thanks Amoroso!
@2:30 I was hoping to see the equivalent for 4D cube/sphere: simply, a 4D square/sphere, "dropping" down into our 3D world, as it falls along the 4th axis. Is there any such representation?
I love that you put a nice lil trap instrumental over the tesseract segment lol.
Something about your comment "doesn't this look like a hallway" really made this click in my brain. 7:19