4th Dimension Explained ► Tesseract Hypercube Visualized More Than 4 Ways 

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...)

haha. heavy man. 😆

Me too, unless I'm having some mushroom tea then not only do I understand it I usually look at it from the inside 🤪😜

@@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 👍 it was so good I read it twice 😎😎

Haha! WORD! Well said, exactly right lolz...

Your brain is amazing❤

but not yours ​@@2100ADchallenge

Overrated meme

This comment is on LITERALLY every video about 4D. GET A LIFE!!

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

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! :)

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, you’d have to be able to survive living in the 4th dimension. Good luck doing that in this physical body. Funny that ‘time’ seems to be people’s need to associate or orientate or ground themselves with what’s consistently fleeting them…🤔

Thomas, thank you so much!! Such kind words. 😀 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.

Thanks for your kind words!

This is the best description of 4D thus far.

​@@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.

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 👽

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 👍

Nah

You can also see this if you get very high on edibles sometimes 😮

I’m visualizing it as it bleeds into all the different dimensions or laws like an octopus arms connecting all em

Thanks Angela! Much appreciated. =)

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

eat some Shrooms.

Stay curious!

@@fungi42021 :)

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?! 😶 🔫

@@easports2618 lmao

you don’t 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

Thanks. That helps. Still Trying to wrap my brain around it.

Thanks Phoenix! And rad jewelry! 😀

@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.

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.

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...

Thanks Throne! I plan on it. :)

Excellent point, I hadn't noticed the Fibonacci connection. And thank you! Sending positive frequencies right back at ya!

Thank you so much! 😀

Thanks Remni! Love to hear this.

Glad you liked it! 😀

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 you’re 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.

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?

I’ve always thought of angels/demons as from another higher dimension

Thank you, Dr. Isom!

@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 Boosh😊

Lol...I totally understand

@@Hyacinth600 ❤

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

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

Thank you Wendi! More to come! 😀

Thanks Memento! GREATLY appreciated and I hope you subscribe. =)

It's close!

More to come, watch this space!

The Simpsons was a huge influence on me, growing up. Highly recommend the first 7 seasons or so. :)

Hey Masum! Is this a reference to aphantasia?

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. I’m 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.

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?

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'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.

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.

​@@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'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.

Thanks, nevamind68 T!

dissemination?

@@mayganphynix8267 dimension

Very cool... do you have a link to a gif or video you can share? Definitely interested. 😀

@@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......

Now that you mention it... it does have that effect!

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 Amoroso!