A cubeoctahedron has 6 square and 8 triangle sides, these, with the central point, are also tetrahedrons and square pyramids. Take an opposite pair of triangles. These 2 triangles are in star of David formation. One floats over a hexagon and one under. There are 4 hexagons offset - a way of description. A 4D Cubeoctahedron has 5 offset Cubeoctahedrons. 2 Tetrahedrons in star of David formation: Float one Tetra above a Cubeoctahedron and one below (in 4D).
Face-ing whats in plane view... The thing about 3D is that a plane area can hover over another plane - the 2D coordinates are the same, and in correspondence, seperated by a 3D distance. There's a direct line of sight. With 4D a 3D area can have the same x, y, z coordinates while having a seperation in 4D. So there's a line-of-sight correspondence between points.
La materia se mueve y vibra en seis dimensiones x, y, z, el tiempo (t), la energía (e), y el espín(s). Geométricamente Un cubo dentro de una esfera, tres dimensiones lineales y tres dimensiones esféricas.
@reko221 Er... no, it isn't. :| Time is the extra dimension, which all objects have so we don't regularly include it (you wouldn't call a cartoon 3d because it passes through space, would you?). Space includes length, width, and depth, although it is possible that there are more spacial dimensions than we can percieve.
@Nebster173 In theory it doesn't confuse me, but when I try to think about 11 dimensions actually existing around us... 7 more than we can even clearly explain, my head starts to hurt. :(
@RSwtfboom It's mathematically proven to be possible but it's impossible for our brains to comprehend it. It's true what they say, reality really is sometimes stranger than fiction.
A way to make a 3D shape is to move a 2D shape strait forward in 3D. A square becomes cube. Circle a cylindar. Another way is to put 2D items hovering over others. A triangle over a triangle can become an octahedron, a petagon over a pentagon makes the middle of an icosahedron, a triangle over a hexagon and one under becomes a cubeoctahedron.
Developing a 4D Cubeoctahedron. With a 2 tetrahedrons one "over" a cubeoctahedron and one on the other side in 4D. 5 Cubeoctas 8 Tetras. 4D=0.790569415
@Starsebi - you'd need to be in 4D first, then do a similar thing to the 'hypercube' there as you do to a cube here, to visualise it. tho i suppose you could imagine it, i've tried to....
I can imagine 4d, tho i think that if you include time into 3d ur half way there, to me 4d is like a ghost if u may that can go through wals and stuf at will and at the same time toy with us like we toy with 2d
problem is that when you get to caught up in a domain you are in danger to neglect the rest and you may forget important things in life like family,health..maybe your homepage
@Oshyrath In math we don't. They keep going up. Furthermore the brilliant mathematicians also make/define warped versions, versions based on mathematical ideas or principals, and then look for further qualities of these.
So we don't stop at 11 dimensions. Michio Kaku says that in their modern string theory description of our Universe that higher dimensions wouldn't work. I would add that their 11 involves all sorts of ideas they have about our Actual Universe. Its Modern Physics (not Math)
@NinjaAlchemist23 The fourth dimension is time. We are three dimensional creatures traveling linearly through time. The first three dimensions (Length, width, and depth) are space, coupled with the fourth dimension (time), make up the space-time continuum. Among other things...
Hello, I am going into my 11th year of schooling, and I was wondering if you have any suggestions for a place I can go to get a good introduction into this stuf. I am very interested in dimensions and the tesseract really amazes me. I would really like to know more about all of this stuff. Do you know anywhere I can go to start my studies?
@TheJack10116 If you are scholastically prepared to then learn Linear Algebra. See google: "Linear algebra" & "Linear algebra" rotation of icosahedron. - Not that I know it; though if you click on Ed Pegg's Math Games for instance you'll see why I say this. Making 3D Models out of flat cardboard and of rods IS very recommended. As is H. Martyn Cundy's book Mathematical Models. So Beautiful. Some pages have nets as in - unfold the sides of cube, tetrahedron, dodecahedron so they're lying flat.
@TheJack10116 The Net of a Cube can be four squares stacked verticaly with another stuck on the left side and another to the right. I recommend dodecahedron, cubeoctahedron (pivitol), truncated tetrahedron (sides become hexagons when the vertices are cut off making triangles, nice looking.). If have good cardboard drawing the net to cut out and fold calls for all the exactitude measures you can invoke!
@TheJack10116 Hidden sides. Looking at a 6 color cube with one eye open- single "point perspective" you see only one side, or 2 sides or 3. THIS means You should Ponder and MAKE hidden line/surface Algorithms - And for creating Point Perspective. Using TRIG for Rotation! Write an algorithm for this: You have a list of named pts w/ their x,y,z ordinates. Going 1 spin at time (XY about Z, XZ ZY) you can ignor 3rd ordinate, turn to Polar, add a little to the angle, then convert back to 2 ordinates
SO BASICLLY I DON"T UNDERSTAND .... PEOPLE please Explain me. How can a CUBE look like that.... how many edges do this hypercube have..... i'm totally dumb.... this thing is very complicated
@TheWoried the spatial concept sometimes may appear very intimidating, as is the alphanumeric symbolistic conceptualization of mathematics. Making it more basic, the lack of a graph sometimes confuses parametrical values, "you dont know exactly where point a and b are and how they relate with each other", here, the paradigm of constant unknowns is augmented to 4, compared to the 2D and 3D graphs, more simply, there isnt only "X", "Y" and "Z" values (meaning forward, right and up, or viceverse),
@TheWoried a "W" constant (or "a" or "alpha") is introduced to represent and simulate a theoretic, measurable "directional sense" of movement, meaning, a new range of space where reallity is able occupy a "W" coordinate. To exemplify this, remember in your geography classes, where you had to calculate an exact coordinate on the planet based on the constants X and Y, longitude and latitude, this is an example of a 2D graph, where 2 parametrical constant unknowns are employed to calculate values.
@TheWoried To finish my explanation, extend the before mentioned example with the "Z" coordinate, where any coordinate within the XY directional values could be occupied within the same lapse of time, by simply modifying the Z value, which could be represented within our realm of spatial comprehension as "depth", imagine now that the geographical maps you studied, also included the Earth's mantel and nucleous, OR the mesosphere, the estratosphere, etc. this includes the notion of depth or height
@TheWoried the only difference here is the addition of a "conept of measurement": the employment of alphabetical constant unknowns and numerical values to measure exact spatial locations (coordinates), now imagine a new vectorial orientation, meaning simply, the aforementioned 4th, W coordinate, or even more basic: point a to point b (a>b), inserted into our 3 vector oriented spatial graph (again if you forgot, length, height and depth), adding a "new space to move and occupy"
@TheWoried The hypercube is nothing more than a representation of that theoretical vector through 2D and computer generated 3D graphs, there is no way to physically orient a W vector, because as 3D spatial logic may imply in the the contemplation of reality (graphically), there is no W direction matter is able to adopt, independently of what concrete and abstract interpretations and representations may suggest, by a matter of basic logic the W "line" could be arranged in any rotational degree.
@judaaran in 3D space there are 3 axes to rotate a cube about: x, y and z. In 4D space a hypercube (tesseract) can be rotated around the x, y, z, or w axis (but the w axis is not visible to us in 3D space). One projection looks like a cube inside a cube. When rotated about this invisible axis it apears as the inner cube is being morphed outward and around the outer cube, when what is actually happening is the inner cube is being brought nearer in the 4th dimension making it appear larger.
@xMETLOKALYPSx Note with a circle or square centered on the Axis Pt (x=0,y=0) and rotating - the x and y ordinates are changing (in polar notation the r values stay same as their θ's go 'round 360). Extend the shape upward in Z making a cylindar or square. Turns same way. The Z values all stay same - Z spin. Imagine a 3D object turning on any axis. The object can be extended/reproduced perpendicular into 4D - All turns same way. Axis is a 2D planer area - that 1st axis & stuff W-perpendicular.
@judaaran ...so in other words the picture in the sidebar and the picture above are merely different projections (described by different matrices). Imagine the tesseract above rotated about the w axis so the cube "hyperface" furthest right rotates to appear inside the cube hyperface furthest left. That is the projection used in the side bar (cube within a cube).
Hi professor, this is not about your video but i asked me, do you know a book that explains about the phi number? I want to learn why is called the most beatiful number but not a coloquialism definition, I want to learn about real math.... if you can answer me....and recommend me a good reference (sorry about my english i'm not to good at all, my main language is spanish)...
Hi professor, this is not about your video but i asked me, do you know a book that explains about the phi number? I want to learn why is called the most beatiful number but not a coloquialism definition, I want to learn about real math.... if you can answer me....and recommend me a good reference (sorry about my english i'm not to good at all, my main language is spanish)...
How does the projection of a 4-dimensional object onto 2-d space even make sense?
As I understand it, this is akin to projecting a cube onto 1-d space. But then again the idea of a square projected onto 1-d space seems a little murky as well.
I think have a good understanding of why these projections work out mathematically, but I not sure what some of the physical implications are, if that makes any sense at all.
How does the projection of a 4-dimensional object onto 2-d space even make sense?
As I understand it, this is akin to projecting a cube onto 1-d space. But then again the idea of a square projected onto 1-d space seems a little murky as well.
I think have a good understanding of why these projections work out mathematically, but I not sure what some of the physical implications are, if that makes any sense at all.
These are also a lot of fun to make in a 3D model. Basically to draw a hypercube in 2 dimensions you allocate 2 arbitrary angles for the 3rd and 4th dimensions (just as you allocate one arbitrary angle to draw a 3D cube in 2D), while in 3D space you only have to allocate one arbitrary angle. In 3D it becomes clearer that what you have is a shape in which the 8 "sides" are each a 3D cube. 6 of these are flattened due to the arbitrary angle while the other 2 are regular 3D cubes.
These are also a lot of fun to make in a 3D model. Basically to draw a hypercube in 2 dimensions you allocate 2 arbitrary angles for the 3rd and 4th dimensions (just as you allocate one arbitrary angle to draw a 3D cube in 2D), while in 3D space you only have to allocate one arbitrary angle. In 3D it becomes clearer that what you have is a shape in which the 8 "sides" are each a 3D cube. 6 of these are flattened due to the arbitrary angle while the other 2 are regular 3D cubes. Use wire & solder
i have a question its kind of a science question im in the 8th grade so its basically about law of inertia...so why doesn't inertia kill people when they blast off to space(using a rocket) because it has so many g force or does it have a little g force only>
@elner123 Your question is not readily in my area of expertise. I suggest that you look through wikipedia or NASA for a complete answer. I *believe* that the force induced by acceleration is less than 3 or 4 gs. Before astronauts are sent to space, they are tested in a centrifuge that spins them at high speeds. Sometimes they black out from the force. The problem is serious for test pilots. Read "The Right Stuff" by Tom Wolfe for an enjoyable discussion of Astronaut training. Good Luck!
@elner123 I might be able to help you, I'm fresh out of Physics as a 12th grader. Momentum, or mass x velocity, is what inertia is based off of. Inertia is the change in momentum. So, if something is constantly speeding up, its momentum will change. The amount of time that this occurs in determines how much force acts on the person or object.
@elner123 So, people survive on their way to space because the amount of TIME it takes for them to speed up. The more time there is, the more gentle the speed-up, and the less G forces. When people are in car crashes, they can go from fast to 0mph in less than a second. Airbags and seatbelts save people by increasing the amount of time it takes to slow down, which means less G force, and a better chance to live.
@elner123 An human body can hold 8-9g force. Military jet pilots reach those accelerations only with special suits, unless they would faint or have cerebral hemhorrage...
On space shuttles are reached 4g, but astronauts have to hold it for many minutes, so they need an hard training
@elner123 Because its a steady acceleration. your acceleration only needs to more than 9.8 ms^-2 to eventually escape the major gravitational pull of the earth.
When always I look at multi dimensional objects like the hypercube I think of the theory about multi dimensional universes, I admit that I don't have a high degree of understanding of physics nor math. But since our universe is 3 dimensional space, I find it hard to imagine 4 dimensional space. So could it be, looking at the makeup of the hypercube, that the hypercube could portray 6 different 3 dimensional universes each connected to its neighbor ? Well I am just wondering.
Even before you finished your first video I was reaching out for some paper and a pen, redrawing the hypercube. Failed twice until I added Y axis lines on the paper... Worked out fine after :)
@gothbabii188 I am a math professor at a university. My pay is good enough. I have everything that I want at my home, and my family seems happy. I really enjoy what I do: research, teaching, and being involved with other mathematicians and students. I did not learn as much physics as I would like, but I read about it often. Some of my own research is related to physics, and I try to understand those connections. Doing math is very fun!
@ProfessorElvisZap I agree professor wen I was a child I was not that good in math, but with calculus a new complete world open to my eyes, now, I am a computer engineer and I am planing to have a phd in physics (if god helps me) best regards professor
So let me see, if I got it right: You (ore someone else) said, that a 4D cube consists of points (0|0|0|0), (1|0|0|0), ..., (1|1|1|1). Than You build Yourself a matrix, which projects the object in the 2Dspace (acording to a pronciple surely allready tested on projecting 3D in 2D), twist Your 4D object throu this matrix and than draw the 2D points in an 2D coordinate system and than look, what you have done. Have I got it right?
@RoberttheWise Yes, you take those 16 points, AND every line segment between points that differ in exactly one coordinate, AND take the square faces (such as 0000 ->1000->1100->0100->0000) and the cubical faces. The picture is a particular projection into the plane by the matrix indicated, but I would not call it "twisted" by that matrix.
at the end of the sample .....it stays triangles , squares , isosceles triangles, 3 rhombus in the center of the hypercube, next to a 4 small triangles, 4 big rhombus , 12 squares equal in the same size , 2 big cubes facing in oposites sides (and part of their back side to share between them, and filling up front , back , up and down with 4 triangles), 2 hexahedral ( up and down ) , and 8 equilateral triangles ..........all depend how you'r watchig the hyper .....nice !!!!
@FallofDarckness55 I think that black holes are not like worm holes but are more like great amounts of gravity that suck all the matter together making a planet, but that is just what I think
@FallofDarkness55 I don't believe a black hole and wormhole are the same thing. A black hole is more or less an extremely dense entity, so dense that it pulls in all matter and light from its surroundings. the region laying a certain distance from it, known as the event horizon, is the point in which matter is being pulled in faster than light is, in that sence, light is being pulled back through into the hole itself.
@Burninizer according to a lot of physicists including Michio Kaku, they say that matter can not just disappear from the universe and that this would violate all the laws of physics. Kaku explains that all of the matter falling into a black hole must go somewhere else. So his theory is that unlike a black hole, all the matter falling into a black hole is eventually ejected on the other side which he calls a white hole. So in essence, this is like a tunnel bridging to another universe.
exitosa aparecida yo tambien vi la pelicula hypercube y todo esto me parece muy interesante,haunque me confunda,pero tratare de encontrar formas mas sencillas de entenderlo,si me pudieras ayudar te lo agradeceria.
Perhaps. 4D Tetrahedron?? 5 points equidistant. Place a center point inside a 3D tetrahedron and draw the connecting lines to the vertices. Inside you can now See the 4 new outer-surface tetrahedronal 3D sides. Moving that center apex point out a little ways into the fourth dimension streches those tetrahedronal sides into proper shape. Color all 5 sides throughout a different color. A 3-D retina of a 4D person may see one perfect green tetra, then flipping it over, see the other four tetras.
The first two points are at a specified distance. Start by going Away from these first two points to the Middle point. Now in the new Independent form of separation (ie, second dimension) go 0.866025 Away (square root of .75). Using the Pythagorean Theorem to find the cumulative impact of these Perpendicular vectors, shows we have three equidistant points. Triangle's Center is 1/3 of the height! 3 Sides are line segments. Next - 4 Equidistant Points: Start at Triangle's Center go Out 0.816.
In one dimension two separate points make a line segment. A triangle is formed by placing three points equally seperated. This new third point causes trouble - It will be twice as far from the first, or the best one can do, is put it half way between the first and second point. Now it is equal distance from the first two, but they are twice as far away from each other. Need a Second kind of Out Independent from the first kind for this new third point to find a place in space tha'ts equidistant.
Note that this is an attempt to say something about the Space-Time topics that people talk about now-a-days after Einstein. This is not a Straight Forward "4-D for Time" - which would not really say much. Nothing about losing a dimension, and the speed of light being 90 degrees! - Time would still be different than space. All it might say is the Past Exists - like a film strip. One could go However Fast and just be farther away, later on, than other slower things were then. Trails w/o Tipping.
At light speed the object is flat; 2 dimensional in the direction of motion. AS IN the two-dimentional wave front of light. It does not move forward in time; light preserves the frozen moment of its departure & does not change with time. If you broadcast a song on a laser beam then you can show in Space where any particlular Instant of the broadcast is; the whole thing moves along in its time frozen way. One can receive the song as it moves by; and someone farther away can again experience it.
These 3D objects that are relating to each other, One starts moving very fast in a given 3D direction. The fourth dimension of time shows its existence direction as no longer simply perpendicular - and parallel to its fellows. Let's call Not Moving a zero degree angle. This 3D object suffers a fourth dimesional rotation. To the 3D view (Reality) of the other objects looking at it, in relation to them, this is a flattening (in the direction of motion). Cosine of angle - Light speed is 90 degrees.
Time as fourth dimention. Light speed ,186,282 Miles per Sec is a 90 degree angle to the 3 D Space. Start with a few 3D objects - say planets - standing still relative to each other. In time they will appear as 4D columns. Each 3D object exists at a given time, and in the next moment, exists in the same place - as it is not moving.. Fouth dimensionally it touches its previous self everywhere throughout as in a 3D column. Start one object moving, in the 4D view that column is now tipped some.
@ProfessorElvisZap How do we know other spatial dimensions than 3D are real? For example if you reduce a 3D object to 2 or 1D while still in 3D space, do those objects not cease to exist? Similar question: how do the flatlanders really see anything, as they can't observe any height? I guess my question is this: How is this more than a mathematical construct? Somehow I find more dimensions easier to imagine than lower ones...
I would really appreciate a response from you! Thank you!
i could be wrong but I dont think we can correctly predict what what a cube in our world would look like in 4-D space.....to me, what you drew just follows the same concept that a sphere looks like flat disks if it were to pass through a 2-D space and I dont see how we would be able to use those same principles just because there is no way for us to comprehend the 4th dimension of space
what is the scale factor for this hypercube if the term even applies to this?Whats the difference between four dimensional space and three dimensional space?Is there such thing as a hypertriangle, if there is could you please share how to draw one?Des this apply to geometry ,physics, or both?And lastly is it possible to draw a hypersphere, if so would you care to share?Sorry for all the questions im only 16 and so very ignorant.
@jackskellingtonation I am using the unit hypercube. Its vertices have coordinates either 0 or 1. The scale is determined by the matrix in the upper corner. In general, n-dimensional space consists of the set of n-tuples of real numbers (x_1,x_2, ..., x_n).
The sequence triangle, tetrahedron, 4-simplex, continues. The 4-simplex has as its edges a pentagram. There are also triangles times triangles, and a host of other 4-d figures. Look at nice subsets of euclidean space in my videos.
I thought it was impossible to create a 4d object in 3d space. Since I have the philosophy that anything is possible, I'm sure because of (multiverse and string theory) that there is a 5d cube 6d cube......infinite(d) cube.
Professor Zap. When you get the chance, grab some 5mm x 5 mm squared paper. Draw 4 squares 6mm x 6mm. space the squares 1cm apart from each other in the shape of a square with a cross in the middle. draw 4 hypercubes from each of the sqaures. All of the hypercubes join each other. why is this?
so if there was a name for the 4th 'dimention' what would it be exactly, we have up down left right and back and forth, so what about the other 2? or more?
There is no "THE" 4th dimension. There are many choices. If time is your choice, then past and future. Rudy Rucker calls it the Vinn and Vout. You may call it what you like. There are not standard names.
so a more correct term is 'a' 4th dimension? And thanks for the explanation, so the 4th dimension would be another set in the coordinates, like the x,y and z on the axis we have in 3 dimensions?
@crm339 in and out, you can imagine objects in 4d as being able to travel through 3 dimensional space, just like 3 dimensional objects, travel through multiple 2 dimensional spaces right? We can move up and down, yet we can also move left and right like 2 dimensional objects. for example, if we come to a small wall, we can jump over it, whereas a 2 dimensional object cannot, it's stuck since it can't move over it. we come to a big wall, and we can't go over it, 4d objects can go through it :P
@gothikgamer I knew that, I dont reli understand what your refering to or talking about... And we could understand it, if 'we' became 'them' and 'us'...
I think for most people it is hard even to grasp three dimensions (let alone four) since our visual apparatus is similar to that chalkboard - a projection of an image on the 2D retina.
But if I see cubes popping up in empty space, growing, than shrinking and disappearing... I will let people know.
at first i thought the "sahdow of the hypercube" was nonsense, but i suppose it does make a good deal of sense. u still cannot prove that a hypercube "exists"
Hold up your right hand. Wiggle your index finger while keeping your knuckles straight. It has an interval that describes its range of motion. Now do the same for the middle finger, ring finger and pinky. The SET of configurations of these 4 stiff fingers is easily described as a hypercube.
Imagine... if any "aliens" can see in 4 dimensions... our mind would like totally break down... but .. if some1 out there can handle the pressure.. Damn they must have an interesting live, from our perspective of course.
Only creatures of the 4th dimension may see the 4th and any below dimesnions. We can assume that these creatures can actually draw a 3d picture, as we can draw a 2d picture (we can make them look 3d, by drawing 2.5d, which is an illusion of the 3d view)
The M-theory (the best one, in my opinion, regarding the many string theories) talks about an 11-dimensions world. We " live " in four of them. Six others would be part of calabi-yau shapes that are too small and folded for us to be observed. The last dimension is, I think, considered as a brane, some sort of membrane where the strings can interact, which can be in many more dimensions. It's easy to imagine since we can't see 7 of the 11 dimensions o.O
Okay, so I got a question. Does that means that we live in a 5-D world? 4 dimensions of space and one of time? Wouldn't that infirm the theory of space-time? Not sure I understand everything.. o.O
Apparently there are more than 4 dimensions. 4 means 3D--length, width, depth, but we have time, not just space, so that's 4. At 5, it is parallel dimensions plus the 4 until it get smaller and smaller in the string theory.
0001,1000,0100,0010 WTF?
superman96233 5 hours ago
4d image on 2d plane = mind fuck
luckystar861026 18 hours ago
A cubeoctahedron has 6 square and 8 triangle sides, these, with the central point, are also tetrahedrons and square pyramids. Take an opposite pair of triangles. These 2 triangles are in star of David formation. One floats over a hexagon and one under. There are 4 hexagons offset - a way of description. A 4D Cubeoctahedron has 5 offset Cubeoctahedrons. 2 Tetrahedrons in star of David formation: Float one Tetra above a Cubeoctahedron and one below (in 4D).
LAEXCITOSAAPARECIDA 4 days ago
Face-ing whats in plane view... The thing about 3D is that a plane area can hover over another plane - the 2D coordinates are the same, and in correspondence, seperated by a 3D distance. There's a direct line of sight. With 4D a 3D area can have the same x, y, z coordinates while having a seperation in 4D. So there's a line-of-sight correspondence between points.
LAEXCITOSAAPARECIDA 4 days ago
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La materia se mueve y vibra en seis dimensiones x, y, z, el tiempo (t), la energía (e), y el espín(s). Geométricamente Un cubo dentro de una esfera, tres dimensiones lineales y tres dimensiones esféricas.
CIENCIAYTECNOLOGI101 5 days ago
Hey... hold on a sec! I´m supposed to be watching porn right now! Not Hyper-Cubes!?
Ceplir 2 weeks ago
his name is zap... and elvis...
dadurr 2 weeks ago
that's kind of messy. you should consider using a whiteboard or doing this on the computer
flowiepanda 2 weeks ago
The 4th dinension is time and space, if that clears anything up for y'all
reko221 3 weeks ago
@reko221 Er... no, it isn't. :| Time is the extra dimension, which all objects have so we don't regularly include it (you wouldn't call a cartoon 3d because it passes through space, would you?). Space includes length, width, and depth, although it is possible that there are more spacial dimensions than we can percieve.
RSwtfboom 2 weeks ago
@RSwtfboom Super string theory proposes that there are 11 dimensions!
Nebster173 1 week ago
@Nebster173 In theory it doesn't confuse me, but when I try to think about 11 dimensions actually existing around us... 7 more than we can even clearly explain, my head starts to hurt. :(
RSwtfboom 1 week ago
@RSwtfboom It's mathematically proven to be possible but it's impossible for our brains to comprehend it. It's true what they say, reality really is sometimes stranger than fiction.
Nebster173 1 week ago
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FOURTH DIMENSION - IT IS EASIER THAN WE THOUGHT:
LA CUARTA DIMENSIÓN - ES MUCHO MÁS SENCILLO DE LO QUE HUBIÉRAMOS PODIDO IMAGINAR:
anagabrielabrienza.blogspot.com
Cordialmente,
Ana Gabriela Brienza
anagabrielabrienza 4 weeks ago
@NWOareScum and why is it possible to create a 4d Cube on a 2d board?
Starsebi 1 month ago
I've seen these on the heads of Danny Careys bass drums.
samkev84 1 month ago
@samkev84 fuck I was gonna say that!!!!
CHAOSDEATHCULT 3 weeks ago
NERD
Sicari0ne 1 month ago
Clown
SomeUser9753 1 month ago
six octagonal prism :symmetrical paralelogram in which one connects the six eck,..
RcabbaR 1 month ago
@RcabbaR : 33 ° viewing angle
RcabbaR 1 month ago
@RcabbaR; remainder are divided into one another hundred, so it does move
RcabbaR 1 month ago
@RcabbaR : its a,r,c
RcabbaR 1 month ago
A way to make a 3D shape is to move a 2D shape strait forward in 3D. A square becomes cube. Circle a cylindar. Another way is to put 2D items hovering over others. A triangle over a triangle can become an octahedron, a petagon over a pentagon makes the middle of an icosahedron, a triangle over a hexagon and one under becomes a cubeoctahedron.
Developing a 4D Cubeoctahedron. With a 2 tetrahedrons one "over" a cubeoctahedron and one on the other side in 4D. 5 Cubeoctas 8 Tetras. 4D=0.790569415
LAEXCITOSAAPARECIDA 1 month ago
Is it possible to draw a 5 dimensional Hypercube? :)
Starsebi 1 month ago
@Starsebi - you'd need to be in 4D first, then do a similar thing to the 'hypercube' there as you do to a cube here, to visualise it. tho i suppose you could imagine it, i've tried to....
NWOareScum 1 month ago
Do all Math teachers speak binary ? 0:38
Vizalkar 1 month ago
I can imagine 4d, tho i think that if you include time into 3d ur half way there, to me 4d is like a ghost if u may that can go through wals and stuf at will and at the same time toy with us like we toy with 2d
silverforever15 1 month ago
in 2d it's x,y
3d it's x,y,z
i guess in 4d it's w,x,y,z?
is our world 4d or 3d? or is it multidimensional but all we perceive is 3d? is anyone able to even imagine 4d?
forinner 2 months ago
@forinner 4d is t,x,y,z
VBEducation1 1 month ago
Sooooo, I was looking up flash-mob videos and somehow ended up here...... I need coffee.
GleekJaydeDenise 2 months ago
What is hypercube ? What is the point of it ?
aFemale1 3 months ago
if we have three eyes we will be able to see the 4th dimension
glennlemen 3 months ago
problem is that when you get to caught up in a domain you are in danger to neglect the rest and you may forget important things in life like family,health..maybe your homepage
devilu18 4 months ago
Beautiful stuff. I might contact you soon about this hypercube.
oneunderall 4 months ago
I still hate math...
ThePandoh 4 months ago
Interesting stuff, thank you for uploading this!
Marnetmar666 4 months ago
Can someone explain to me why we stop at only 11 dimensions.
Oshyrath 4 months ago
@Oshyrath In math we don't. They keep going up. Furthermore the brilliant mathematicians also make/define warped versions, versions based on mathematical ideas or principals, and then look for further qualities of these.
So we don't stop at 11 dimensions. Michio Kaku says that in their modern string theory description of our Universe that higher dimensions wouldn't work. I would add that their 11 involves all sorts of ideas they have about our Actual Universe. Its Modern Physics (not Math)
LAEXCITOSAAPARECIDA 3 months ago
holy shhhhh
nextblain 5 months ago
Draw a 4D cube in a 2D plane, thas awsome
yuri00r 5 months ago
you have to be an idiot to vote an educational video down. Seriously, there's no rational reasoning for that...
kamikrazi123 5 months ago
HOW DID I GET HERE?! I only wanted to know what the 4th dimension is cause I'm sure as heck it's NOT smell!
NinjaAlchemist23 5 months ago
@NinjaAlchemist23 The fourth dimension is time. We are three dimensional creatures traveling linearly through time. The first three dimensions (Length, width, and depth) are space, coupled with the fourth dimension (time), make up the space-time continuum. Among other things...
vanimusgames 5 months ago
how is it you can plot a 4th dimension? if anyone cares to explain.
brutalnessities1 7 months ago
Geometry, gives me a fucking headache...
Baldoxxx4000 7 months ago 20
@Baldoxxx4000 then you don't understand your own animations. Get over it and be happy.
ProfessorElvisZap 7 months ago 20
@ProfessorElvisZap ill tell you what gives me a headache, Advanced Physics....
shindy7 6 months ago
@ProfessorElvisZap He doesn't like geometry. Some people don't like geometry. Some people also don't like pasta. Let it be.
Ichvyenichalster 4 months ago
@Baldoxxx4000 this is stereometry
HardmasterMusic 7 months ago
Hello, I am going into my 11th year of schooling, and I was wondering if you have any suggestions for a place I can go to get a good introduction into this stuf. I am very interested in dimensions and the tesseract really amazes me. I would really like to know more about all of this stuff. Do you know anywhere I can go to start my studies?
TheJack10116 8 months ago
@TheJack10116 If you are scholastically prepared to then learn Linear Algebra. See google: "Linear algebra" & "Linear algebra" rotation of icosahedron. - Not that I know it; though if you click on Ed Pegg's Math Games for instance you'll see why I say this. Making 3D Models out of flat cardboard and of rods IS very recommended. As is H. Martyn Cundy's book Mathematical Models. So Beautiful. Some pages have nets as in - unfold the sides of cube, tetrahedron, dodecahedron so they're lying flat.
LAEXCITOSAAPARECIDA 6 months ago
@TheJack10116 The Net of a Cube can be four squares stacked verticaly with another stuck on the left side and another to the right. I recommend dodecahedron, cubeoctahedron (pivitol), truncated tetrahedron (sides become hexagons when the vertices are cut off making triangles, nice looking.). If have good cardboard drawing the net to cut out and fold calls for all the exactitude measures you can invoke!
LAEXCITOSAAPARECIDA 6 months ago
@TheJack10116 Hidden sides. Looking at a 6 color cube with one eye open- single "point perspective" you see only one side, or 2 sides or 3. THIS means You should Ponder and MAKE hidden line/surface Algorithms - And for creating Point Perspective. Using TRIG for Rotation! Write an algorithm for this: You have a list of named pts w/ their x,y,z ordinates. Going 1 spin at time (XY about Z, XZ ZY) you can ignor 3rd ordinate, turn to Polar, add a little to the angle, then convert back to 2 ordinates
LAEXCITOSAAPARECIDA 6 months ago
This has been flagged as spam show
Some secrets waiting the solve
Do not need to hiding
watch?v=iXqhOukjQn8
RorschachFrank 9 months ago
SO BASICLLY I DON"T UNDERSTAND .... PEOPLE please Explain me. How can a CUBE look like that.... how many edges do this hypercube have..... i'm totally dumb.... this thing is very complicated
TheWoried 9 months ago
@TheWoried the spatial concept sometimes may appear very intimidating, as is the alphanumeric symbolistic conceptualization of mathematics. Making it more basic, the lack of a graph sometimes confuses parametrical values, "you dont know exactly where point a and b are and how they relate with each other", here, the paradigm of constant unknowns is augmented to 4, compared to the 2D and 3D graphs, more simply, there isnt only "X", "Y" and "Z" values (meaning forward, right and up, or viceverse),
elchapetas 8 months ago
@TheWoried a "W" constant (or "a" or "alpha") is introduced to represent and simulate a theoretic, measurable "directional sense" of movement, meaning, a new range of space where reallity is able occupy a "W" coordinate. To exemplify this, remember in your geography classes, where you had to calculate an exact coordinate on the planet based on the constants X and Y, longitude and latitude, this is an example of a 2D graph, where 2 parametrical constant unknowns are employed to calculate values.
elchapetas 8 months ago
@TheWoried To finish my explanation, extend the before mentioned example with the "Z" coordinate, where any coordinate within the XY directional values could be occupied within the same lapse of time, by simply modifying the Z value, which could be represented within our realm of spatial comprehension as "depth", imagine now that the geographical maps you studied, also included the Earth's mantel and nucleous, OR the mesosphere, the estratosphere, etc. this includes the notion of depth or height
elchapetas 8 months ago
@TheWoried the only difference here is the addition of a "conept of measurement": the employment of alphabetical constant unknowns and numerical values to measure exact spatial locations (coordinates), now imagine a new vectorial orientation, meaning simply, the aforementioned 4th, W coordinate, or even more basic: point a to point b (a>b), inserted into our 3 vector oriented spatial graph (again if you forgot, length, height and depth), adding a "new space to move and occupy"
elchapetas 8 months ago
@TheWoried The hypercube is nothing more than a representation of that theoretical vector through 2D and computer generated 3D graphs, there is no way to physically orient a W vector, because as 3D spatial logic may imply in the the contemplation of reality (graphically), there is no W direction matter is able to adopt, independently of what concrete and abstract interpretations and representations may suggest, by a matter of basic logic the W "line" could be arranged in any rotational degree.
elchapetas 8 months ago
I have a question. How come this model doesn't look like the animations of a tesseract in the sidebar?
judaaran 9 months ago
@judaaran in 3D space there are 3 axes to rotate a cube about: x, y and z. In 4D space a hypercube (tesseract) can be rotated around the x, y, z, or w axis (but the w axis is not visible to us in 3D space). One projection looks like a cube inside a cube. When rotated about this invisible axis it apears as the inner cube is being morphed outward and around the outer cube, when what is actually happening is the inner cube is being brought nearer in the 4th dimension making it appear larger.
xMETLOKALYPSx 8 months ago
@xMETLOKALYPSx Note with a circle or square centered on the Axis Pt (x=0,y=0) and rotating - the x and y ordinates are changing (in polar notation the r values stay same as their θ's go 'round 360). Extend the shape upward in Z making a cylindar or square. Turns same way. The Z values all stay same - Z spin. Imagine a 3D object turning on any axis. The object can be extended/reproduced perpendicular into 4D - All turns same way. Axis is a 2D planer area - that 1st axis & stuff W-perpendicular.
LAEXCITOSAAPARECIDA 6 months ago
@judaaran ...so in other words the picture in the sidebar and the picture above are merely different projections (described by different matrices). Imagine the tesseract above rotated about the w axis so the cube "hyperface" furthest right rotates to appear inside the cube hyperface furthest left. That is the projection used in the side bar (cube within a cube).
xMETLOKALYPSx 8 months ago
Providing links in the description would allow more to view your work. Excellent explanation for the similar minded. Thank you.
xmozzazx 9 months ago
Hi! So if you projected it in 3d, what would it look like? Is it actually possible to project it to 3d?
Thanks for the videos, I enjoyed them. :)
Chopsticks94
Chop94sticks 9 months ago
so there are BOOBY TRAPS within CUBES!!!!
KenFan4life 9 months ago
i love the fact he uses (0,0,0,0)
JoozThoom 9 months ago
Please put the link in the video description (below video) so it can be copied or selected.
UnlistedAccount 9 months ago
hmm.. professor Zap is a really cool name. But I got a better one... how about we call you Doctor Dimension?
potasiu2 10 months ago
This has been flagged as spam show
Hi professor, this is not about your video but i asked me, do you know a book that explains about the phi number? I want to learn why is called the most beatiful number but not a coloquialism definition, I want to learn about real math.... if you can answer me....and recommend me a good reference (sorry about my english i'm not to good at all, my main language is spanish)...
200034s 10 months ago
Hi professor, this is not about your video but i asked me, do you know a book that explains about the phi number? I want to learn why is called the most beatiful number but not a coloquialism definition, I want to learn about real math.... if you can answer me....and recommend me a good reference (sorry about my english i'm not to good at all, my main language is spanish)...
200034s 10 months ago
Ok, you corrected you missing edge, cool.
nikolayzou 10 months ago
This has been flagged as spam show
How does the projection of a 4-dimensional object onto 2-d space even make sense?
As I understand it, this is akin to projecting a cube onto 1-d space. But then again the idea of a square projected onto 1-d space seems a little murky as well.
I think have a good understanding of why these projections work out mathematically, but I not sure what some of the physical implications are, if that makes any sense at all.
Benshippey1 10 months ago
How does the projection of a 4-dimensional object onto 2-d space even make sense?
As I understand it, this is akin to projecting a cube onto 1-d space. But then again the idea of a square projected onto 1-d space seems a little murky as well.
I think have a good understanding of why these projections work out mathematically, but I not sure what some of the physical implications are, if that makes any sense at all.
Benshippey1 10 months ago
These are also a lot of fun to make in a 3D model. Basically to draw a hypercube in 2 dimensions you allocate 2 arbitrary angles for the 3rd and 4th dimensions (just as you allocate one arbitrary angle to draw a 3D cube in 2D), while in 3D space you only have to allocate one arbitrary angle. In 3D it becomes clearer that what you have is a shape in which the 8 "sides" are each a 3D cube. 6 of these are flattened due to the arbitrary angle while the other 2 are regular 3D cubes.
mikehypercube 10 months ago
These are also a lot of fun to make in a 3D model. Basically to draw a hypercube in 2 dimensions you allocate 2 arbitrary angles for the 3rd and 4th dimensions (just as you allocate one arbitrary angle to draw a 3D cube in 2D), while in 3D space you only have to allocate one arbitrary angle. In 3D it becomes clearer that what you have is a shape in which the 8 "sides" are each a 3D cube. 6 of these are flattened due to the arbitrary angle while the other 2 are regular 3D cubes. Use wire & solder
mikehypercube 10 months ago
i have a question its kind of a science question im in the 8th grade so its basically about law of inertia...so why doesn't inertia kill people when they blast off to space(using a rocket) because it has so many g force or does it have a little g force only>
elner123 10 months ago 4
@elner123 Your question is not readily in my area of expertise. I suggest that you look through wikipedia or NASA for a complete answer. I *believe* that the force induced by acceleration is less than 3 or 4 gs. Before astronauts are sent to space, they are tested in a centrifuge that spins them at high speeds. Sometimes they black out from the force. The problem is serious for test pilots. Read "The Right Stuff" by Tom Wolfe for an enjoyable discussion of Astronaut training. Good Luck!
ProfessorElvisZap 10 months ago 5
@elner123 I might be able to help you, I'm fresh out of Physics as a 12th grader. Momentum, or mass x velocity, is what inertia is based off of. Inertia is the change in momentum. So, if something is constantly speeding up, its momentum will change. The amount of time that this occurs in determines how much force acts on the person or object.
rorshachfan 9 months ago
@elner123 So, people survive on their way to space because the amount of TIME it takes for them to speed up. The more time there is, the more gentle the speed-up, and the less G forces. When people are in car crashes, they can go from fast to 0mph in less than a second. Airbags and seatbelts save people by increasing the amount of time it takes to slow down, which means less G force, and a better chance to live.
rorshachfan 9 months ago
@elner123 An human body can hold 8-9g force. Military jet pilots reach those accelerations only with special suits, unless they would faint or have cerebral hemhorrage...
On space shuttles are reached 4g, but astronauts have to hold it for many minutes, so they need an hard training
ribbaribbahey 7 months ago
@elner123 Because its a steady acceleration. your acceleration only needs to more than 9.8 ms^-2 to eventually escape the major gravitational pull of the earth.
murdakah 6 months ago
WARNING: CONTAINS MINDFUCK
bakeddobes 10 months ago
Has anyone else seen the movie Cube 2: Hypercube? Not very entertaining. I like Fringe. Best T.V show ever.
Sparta729 10 months ago
o ja jebie o.O
TimoNskyKG 10 months ago
what does the 4. koordinate mean??? wasnt the 4. dimension for time?
mhanna11 10 months ago
@mhanna11 hes talking about the fourth spatial dimention. i think.
gogglesntophat 10 months ago
i don't give a shit i was watching runescape and i got here wdf!
AsianRunescape 10 months ago
hi,
When always I look at multi dimensional objects like the hypercube I think of the theory about multi dimensional universes, I admit that I don't have a high degree of understanding of physics nor math. But since our universe is 3 dimensional space, I find it hard to imagine 4 dimensional space. So could it be, looking at the makeup of the hypercube, that the hypercube could portray 6 different 3 dimensional universes each connected to its neighbor ? Well I am just wondering.
Gerdk21 11 months ago
Even before you finished your first video I was reaching out for some paper and a pen, redrawing the hypercube. Failed twice until I added Y axis lines on the paper... Worked out fine after :)
Good video, cheers from Slovenija :)
Quakez0r 11 months ago
Would you mind helping me understand the w-axis a little more?
sagefox601 11 months ago
Hey, I'm only on 6th grade but a few questions: What are you?
How many years did you study?
Do you get paid good?
Is it ANY fun?
And do you learn alot of physics?
When I'm older I want to be a major-scientist type person like you, so I wanna start learning about what I'll have to learn early.
Thanks, Sincerly,
6th grader
gothbabii188 11 months ago 17
@gothbabii188 I am a math professor at a university. My pay is good enough. I have everything that I want at my home, and my family seems happy. I really enjoy what I do: research, teaching, and being involved with other mathematicians and students. I did not learn as much physics as I would like, but I read about it often. Some of my own research is related to physics, and I try to understand those connections. Doing math is very fun!
ProfessorElvisZap 11 months ago 10
@ProfessorElvisZap :) Thanks, I think I might be that ^^
gothbabii188 11 months ago
@ProfessorElvisZap I agree professor wen I was a child I was not that good in math, but with calculus a new complete world open to my eyes, now, I am a computer engineer and I am planing to have a phd in physics (if god helps me) best regards professor
bpbrainiak 4 months ago
@ProfessorElvisZap I was wondering what is the 4th dimension called in that of (x,y,z) and i+j+k? =)
MrButerfinger 3 months ago
OWE! My brain!
sausagenmuff 11 months ago
So let me see, if I got it right: You (ore someone else) said, that a 4D cube consists of points (0|0|0|0), (1|0|0|0), ..., (1|1|1|1). Than You build Yourself a matrix, which projects the object in the 2Dspace (acording to a pronciple surely allready tested on projecting 3D in 2D), twist Your 4D object throu this matrix and than draw the 2D points in an 2D coordinate system and than look, what you have done. Have I got it right?
RoberttheWise 11 months ago
@RoberttheWise Yes, you take those 16 points, AND every line segment between points that differ in exactly one coordinate, AND take the square faces (such as 0000 ->1000->1100->0100->0000) and the cubical faces. The picture is a particular projection into the plane by the matrix indicated, but I would not call it "twisted" by that matrix.
ProfessorElvisZap 11 months ago
oh look smart poeple. im on the wrong video>.<
Joniboy2012 11 months ago
at the end of the sample .....it stays triangles , squares , isosceles triangles, 3 rhombus in the center of the hypercube, next to a 4 small triangles, 4 big rhombus , 12 squares equal in the same size , 2 big cubes facing in oposites sides (and part of their back side to share between them, and filling up front , back , up and down with 4 triangles), 2 hexahedral ( up and down ) , and 8 equilateral triangles ..........all depend how you'r watchig the hyper .....nice !!!!
853512KISS 11 months ago
the guy that says 'whats your home page?' sounds like the definition of nerd
StopSquirlesOnCrak 11 months ago
@FallofDarckness55 I think that black holes are not like worm holes but are more like great amounts of gravity that suck all the matter together making a planet, but that is just what I think
charactername111111 1 year ago
Thank You Very Much!!
Very Useful
n____n
0,2,3,2
3,2,0,-2
dehol 1 year ago
to draw it you need logic, and imagination
can a 5d cube also be drawn?
pidromonz 1 year ago
@pidromonz (0,0,0,0,0)------------->(1,1,1,1,1). it's possible but there's no way in hell i can visualize these coordinates.
FallofDarkness55 1 year ago
1:12 look at the ears .....^^......^^
gogigagagagigago 1 year ago
I just had a reveliation, do you think wormholes are the 4d objects that manifest into our 3d world?
that would explain the perspective diference
Peacebybiggergun 1 year ago
@Peacebybiggergun if black holes are wormholes which i think they are, it's possible to enter into a higher dimensional realm.
FallofDarkness55 1 year ago
@FallofDarkness55 I don't believe a black hole and wormhole are the same thing. A black hole is more or less an extremely dense entity, so dense that it pulls in all matter and light from its surroundings. the region laying a certain distance from it, known as the event horizon, is the point in which matter is being pulled in faster than light is, in that sence, light is being pulled back through into the hole itself.
Burninizer 1 year ago
@Burninizer according to a lot of physicists including Michio Kaku, they say that matter can not just disappear from the universe and that this would violate all the laws of physics. Kaku explains that all of the matter falling into a black hole must go somewhere else. So his theory is that unlike a black hole, all the matter falling into a black hole is eventually ejected on the other side which he calls a white hole. So in essence, this is like a tunnel bridging to another universe.
FallofDarkness55 1 year ago
wat
jerair 1 year ago
exitosa aparecida yo tambien vi la pelicula hypercube y todo esto me parece muy interesante,haunque me confunda,pero tratare de encontrar formas mas sencillas de entenderlo,si me pudieras ayudar te lo agradeceria.
mago355 1 year ago
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mago355 1 year ago
What would happen if we were to connect the Vertices of TWO tesseract/hypercubes
MegaZoneEXE 1 year ago
google me! LMAO
truvak 1 year ago
Perhaps. 4D Tetrahedron?? 5 points equidistant. Place a center point inside a 3D tetrahedron and draw the connecting lines to the vertices. Inside you can now See the 4 new outer-surface tetrahedronal 3D sides. Moving that center apex point out a little ways into the fourth dimension streches those tetrahedronal sides into proper shape. Color all 5 sides throughout a different color. A 3-D retina of a 4D person may see one perfect green tetra, then flipping it over, see the other four tetras.
LAEXCITOSAAPARECIDA 1 year ago
The first two points are at a specified distance. Start by going Away from these first two points to the Middle point. Now in the new Independent form of separation (ie, second dimension) go 0.866025 Away (square root of .75). Using the Pythagorean Theorem to find the cumulative impact of these Perpendicular vectors, shows we have three equidistant points. Triangle's Center is 1/3 of the height! 3 Sides are line segments. Next - 4 Equidistant Points: Start at Triangle's Center go Out 0.816.
LAEXCITOSAAPARECIDA 1 year ago
@LAEXCITOSAAPARECIDA Your comments are not making sense to me. Maybe you should work them out in detail and explain your theory on your own site.
ProfessorElvisZap 1 year ago 6
In one dimension two separate points make a line segment. A triangle is formed by placing three points equally seperated. This new third point causes trouble - It will be twice as far from the first, or the best one can do, is put it half way between the first and second point. Now it is equal distance from the first two, but they are twice as far away from each other. Need a Second kind of Out Independent from the first kind for this new third point to find a place in space tha'ts equidistant.
LAEXCITOSAAPARECIDA 1 year ago
What do you suppose a 4D Trapazoid would look like?
Aquarius199 1 year ago
Note that this is an attempt to say something about the Space-Time topics that people talk about now-a-days after Einstein. This is not a Straight Forward "4-D for Time" - which would not really say much. Nothing about losing a dimension, and the speed of light being 90 degrees! - Time would still be different than space. All it might say is the Past Exists - like a film strip. One could go However Fast and just be farther away, later on, than other slower things were then. Trails w/o Tipping.
LAEXCITOSAAPARECIDA 1 year ago
At light speed the object is flat; 2 dimensional in the direction of motion. AS IN the two-dimentional wave front of light. It does not move forward in time; light preserves the frozen moment of its departure & does not change with time. If you broadcast a song on a laser beam then you can show in Space where any particlular Instant of the broadcast is; the whole thing moves along in its time frozen way. One can receive the song as it moves by; and someone farther away can again experience it.
LAEXCITOSAAPARECIDA 1 year ago
These 3D objects that are relating to each other, One starts moving very fast in a given 3D direction. The fourth dimension of time shows its existence direction as no longer simply perpendicular - and parallel to its fellows. Let's call Not Moving a zero degree angle. This 3D object suffers a fourth dimesional rotation. To the 3D view (Reality) of the other objects looking at it, in relation to them, this is a flattening (in the direction of motion). Cosine of angle - Light speed is 90 degrees.
LAEXCITOSAAPARECIDA 1 year ago
This has been flagged as spam show
Time as fourth dimention. Light speed ,186,282 Miles per Sec is a 90 degree angle to the 3 D Space. Start with a few 3D objects - say planets - standing still relative to each other. In time they will appear as 4D columns. Each 3D object exists at a given time, and in the next moment, exists in the same place - as it is not moving.. Fouth dimensionally it touches its previous self everywhere throughout as in a 3D column. Start one object moving, in the 4D view that column is now tipped some.
LAEXCITOSAAPARECIDA 1 year ago
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LAEXCITOSAAPARECIDA 1 year ago
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LAEXCITOSAAPARECIDA 1 year ago
@ProfessorElvisZap How do we know other spatial dimensions than 3D are real? For example if you reduce a 3D object to 2 or 1D while still in 3D space, do those objects not cease to exist? Similar question: how do the flatlanders really see anything, as they can't observe any height? I guess my question is this: How is this more than a mathematical construct? Somehow I find more dimensions easier to imagine than lower ones...
I would really appreciate a response from you! Thank you!
xBuscopanx 1 year ago
i could be wrong but I dont think we can correctly predict what what a cube in our world would look like in 4-D space.....to me, what you drew just follows the same concept that a sphere looks like flat disks if it were to pass through a 2-D space and I dont see how we would be able to use those same principles just because there is no way for us to comprehend the 4th dimension of space
ypitspat 1 year ago
what is the scale factor for this hypercube if the term even applies to this?Whats the difference between four dimensional space and three dimensional space?Is there such thing as a hypertriangle, if there is could you please share how to draw one?Des this apply to geometry ,physics, or both?And lastly is it possible to draw a hypersphere, if so would you care to share?Sorry for all the questions im only 16 and so very ignorant.
jackskellingtonation 1 year ago
@jackskellingtonation I am using the unit hypercube. Its vertices have coordinates either 0 or 1. The scale is determined by the matrix in the upper corner. In general, n-dimensional space consists of the set of n-tuples of real numbers (x_1,x_2, ..., x_n).
The sequence triangle, tetrahedron, 4-simplex, continues. The 4-simplex has as its edges a pentagram. There are also triangles times triangles, and a host of other 4-d figures. Look at nice subsets of euclidean space in my videos.
ProfessorElvisZap 1 year ago
@jackskellingtonation
the diff betwee our 3d world and 4d dimension
is that we cannot see time as curved
it is straight and continous to us.
in 4 dimension it is like a direction.
like a 4 dimension human will be able to see its baby self and dead self while living.
but we are 3d so like a 2d drawing cant see up
so we can't see time direction but only experience as a 3d way.
Forman6 1 year ago
*raises hand* This is a 2 dimensional shadow of a 3 dimensional shadow of a 4 dimensional shape?
MegaZoneEXE 1 year ago
I thought it was impossible to create a 4d object in 3d space. Since I have the philosophy that anything is possible, I'm sure because of (multiverse and string theory) that there is a 5d cube 6d cube......infinite(d) cube.
mabiniss2 1 year ago
Professor Zap. When you get the chance, grab some 5mm x 5 mm squared paper. Draw 4 squares 6mm x 6mm. space the squares 1cm apart from each other in the shape of a square with a cross in the middle. draw 4 hypercubes from each of the sqaures. All of the hypercubes join each other. why is this?
death1comes 1 year ago
Nice video, your one smart dude
Xxd3cayxX 1 year ago
This make 2D graphing seem a whole lot easier.
Dooombox 1 year ago
so if there was a name for the 4th 'dimention' what would it be exactly, we have up down left right and back and forth, so what about the other 2? or more?
crm339 1 year ago
There is no "THE" 4th dimension. There are many choices. If time is your choice, then past and future. Rudy Rucker calls it the Vinn and Vout. You may call it what you like. There are not standard names.
ProfessorElvisZap 1 year ago 18
so a more correct term is 'a' 4th dimension? And thanks for the explanation, so the 4th dimension would be another set in the coordinates, like the x,y and z on the axis we have in 3 dimensions?
crm339 1 year ago
@ProfessorElvisZap
A stupid question:
Do you believe in Time Travelling?
Or the possibility of future-precognition?
hateWinVista 7 months ago
@crm339 in and out, you can imagine objects in 4d as being able to travel through 3 dimensional space, just like 3 dimensional objects, travel through multiple 2 dimensional spaces right? We can move up and down, yet we can also move left and right like 2 dimensional objects. for example, if we come to a small wall, we can jump over it, whereas a 2 dimensional object cannot, it's stuck since it can't move over it. we come to a big wall, and we can't go over it, 4d objects can go through it :P
theroguetomato123 1 year ago
@crm339 we could never understand it because we are 3 dimension creautures.
gothikgamer 1 year ago
@gothikgamer I knew that, I dont reli understand what your refering to or talking about... And we could understand it, if 'we' became 'them' and 'us'...
crm339 1 year ago
@crm339 no, even if you had the change to experience the 4rd dimension, you would not understand it.
gothikgamer 1 year ago
Nice presentation.
I think for most people it is hard even to grasp three dimensions (let alone four) since our visual apparatus is similar to that chalkboard - a projection of an image on the 2D retina.
But if I see cubes popping up in empty space, growing, than shrinking and disappearing... I will let people know.
lebac 2 years ago
whats your homepage ....O_o google me XD
minnieskater 2 years ago 3
if you altered the hypercube in the vid a bit then it would've been a hexagonal prism
SharkRetriver 2 years ago
at first i thought the "sahdow of the hypercube" was nonsense, but i suppose it does make a good deal of sense. u still cannot prove that a hypercube "exists"
Russe11john 2 years ago
Hold up your right hand. Wiggle your index finger while keeping your knuckles straight. It has an interval that describes its range of motion. Now do the same for the middle finger, ring finger and pinky. The SET of configurations of these 4 stiff fingers is easily described as a hypercube.
ProfessorElvisZap 2 years ago
It's four 3D cubes put together.
farefilms 2 years ago
"Look closelier." The surface of a hypercube is composed of 8 cubes, not 4.
FluffyBunniesOnFire 2 years ago
there are more 3d cubes. and a 3d cube is six 2d squares put together.
merrrcan 2 years ago
Imagine... if any "aliens" can see in 4 dimensions... our mind would like totally break down... but .. if some1 out there can handle the pressure.. Damn they must have an interesting live, from our perspective of course.
Zalivar 2 years ago
Only creatures of the 4th dimension may see the 4th and any below dimesnions. We can assume that these creatures can actually draw a 3d picture, as we can draw a 2d picture (we can make them look 3d, by drawing 2.5d, which is an illusion of the 3d view)
meh1113 2 years ago 2
Yes, and since our universe only has 3 dimensions, 4-dimensional beings cannot exist within it. Or at least, we can not perceive them.
That 3-D picture thing is pretty crazy idea.
ninjafrank1337 2 years ago
This comment has received too many negative votes show
this wigger trying to hard
PurePower025 2 years ago
The M-theory (the best one, in my opinion, regarding the many string theories) talks about an 11-dimensions world. We " live " in four of them. Six others would be part of calabi-yau shapes that are too small and folded for us to be observed. The last dimension is, I think, considered as a brane, some sort of membrane where the strings can interact, which can be in many more dimensions. It's easy to imagine since we can't see 7 of the 11 dimensions o.O
c0bc0b 2 years ago
I believe they are called peabranes, or something to that effect.
12magicKid12 2 years ago
Okay, so I got a question. Does that means that we live in a 5-D world? 4 dimensions of space and one of time? Wouldn't that infirm the theory of space-time? Not sure I understand everything.. o.O
c0bc0b 2 years ago
Normally we say 3D for the normal dimensions
the 4th should be time
Einstein says time and space are linked in the space-time (ct)
in theorie there are endless dimensions
RazielKain 2 years ago 2
Apparently there are more than 4 dimensions. 4 means 3D--length, width, depth, but we have time, not just space, so that's 4. At 5, it is parallel dimensions plus the 4 until it get smaller and smaller in the string theory.
OstroFlux 2 years ago
Super-String theory actually goes to say there are about 21 dimensions and above. But it would be insanely incomprehensible.
soulmman 2 years ago
WTF?!
PIGSYMAGICC 2 years ago
Cool name btw! Are you from outer space?
TTommaz 2 years ago 29