This is NOT a Tesseract.

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2024-06-22に共有
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There are thousands of visualizations of the “4th dimension” online, the most famous being pictures of so-called “hypercubes” and “tesseracts.” Unfortunately, most of these images also imply that you are in fact seeing a 4-D object. But that’s not true. That’s impossible. Three-dimensional math Zaddy Kyle Hill coming to you from a two-dimensional YouTube video is here to help.

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コメント (21)
  • @kylehill
    Thanks for watching 3D human people! Secure your privacy with Surfshark! Enter coupon code KYLE for an extra 4 months free at surfshark.deals/kyle
  • Seeing even professional mathematicians, who work with 4d and higher, lament that they can't visualize higher dimensions made me realize it's probably a human limitation.
  • @t.r.4496
    Me trying to look at a four dimensional object on a two dimensional screen. 😕
  • @DaveJoria
    As someone who’s stared at the 4D wiki page and felt lost every time, I feel grateful to hear someone say, “It’s fine no one can see it.”
  • “He’s so open minded that his brain fell out a long time ago” 😂😂😂😂😂😂😂
  • @-Big_Big
    I did as instructed and pointed in the fourth dimension direction. My finger broke into several pieces. and the sky was torn asunder. Then a Creature appeared, from the fourth dimension insisting i need to pay my fine for destroying time and space across the past. whilst slapping me with a goldfish. before vanishing back into its ear. My finger is still broken. Help
  • It’s funny how this guy looks like Thor and he’s explaining what a teaseract is
  • I have a new Chuck Norris joke: "Chuck Norris can point his finger on the W-axis direction." I'ma head out....
  • When I visualize the net of that tesseract being folded into a higher dimension as a 3D flat lander, I imagine each cube suddenly disappearing as it’s rotated about its edge on an axis which no known form of mass-energy can traverse. Probably the most accurate visualization of 4D objects I’ve ever seen was a depiction of one passing through our 3 dimensional plane. It would seem to suddenly appear, then constantly (appear to) morph as it continues to move along the W axis, showing different 3 dimensional cross sections of its 4D geometry before just as suddenly disappearing as the last 3D monolayer of the object passes through our plane.
  • @NanakiPL
    One more thing worth noting is that these animation aren't even 3d representations… because they're flat. They are representations of 4d in 2d. Our brains fill in the missing dimension.
  • I didn't realize people who ever bothered thinking about the tesseract animation didn't know it was a 2D embedding of a 3D embedding of a W axis rotation.
  • @mikki429
    The short story "and he built a crooked house" by Robert Heinlein does a pretty good job of taking you on a tour of the inside of a tesseract.
  • “A cube hiding behind a square” blew my mind way more then I ever thought it could
  • "so open-minded his brain fell out" That´s one of the best disses I´ve ever heard, will absolutely save for future use
  • I think my favorite way I've heard someone explain that the classic cube-inside-cube "Tesseract", is that it is the equivalent of lining up three rhombuses together into a hexagon and calling that a "Cube". The lines from the rhombuses make it appear similar to one perspective of a cube, but it is not a cube, it's still 2D shapes, the 3 rhombuses are still only making a hexagon. with the cubes, the 3D model as a whole looks like you're viewing one perspective of a Tesseract, but it is still not a Tesseract, it's still only 2 cubes with the corners connected. turning the 3D model around and looking at it from different angles never changes what perspective you're seeing the "Tesseract" from, in the same way rotating the combined rhombuses around together doesn't change what perspective you can see the "Cube" from. We can't visualize or comprehend a 4D space or object, and the only way to understand or explain it is by comparing it down a step to a 2D perspective of a 3D object, since that we CAN visualize and understand in full; It's how our eyes work.
  • "We have Thor at Home" seemed to have a lot of fun with this one. Had a real tough day and it got a smile outta me so nice work
  • @smaakjeks
    Me before video: I mean, Carl Sagan explained it perfectly Me after video: Nothing has changed
  • @armok409
    Honestly, if this means we should start calling so-called hypercubes/tesseracts (the 3d shadows people have been mistaking for the real thing) hypercube shadows/tesseract shadows, I'm all for that, makes them sound even cooler :P
  • Dude the shadow thing just blew my mind. So could that mean that if four dimensional beings exist we could see their shadows in our dimension as three dimensional objects?
  • There's one way to look at it. The smaller cube is not getting smaller. It's getting further away from you through 4th dimension.