Crystal Math
Crystal Math
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How to see a sphere in 4D
Today we will explore the world of higher-dimensional geometry from simple lines in the first dimension to the intriguing concept of a 4D sphere.
We start our journey with the basics of 1D lines, 2D circles, and 3D spheres, gradually building up to the elusive 4th dimensions. Through intuitive explanations and geometric proofs, we cover all the areas in multi-dimensional spaces!
Key Highlights:
Visualizing and calculating the properties of shapes in different dimensions.
A deep dive into the volume calculation of spheres from 3D to 4D.
Understanding the Gaussian integral and its connection to higher-dimensional volumes.
Insights into the gamma function and its application in extending factorial functions to complex numbers.
This video is perfect for math enthusiasts, students, and anyone curious about the world of higher dimensions. Get ready to expand your mathematical horizons and explore the unseen geometry of the universe.
Useful Links:
Mathematics Stack Exchange Discussion: [math.stackexchange.com/questions/1683067/what-is-the-relation-between-the-gaussian-integral-and-the-volume-of-the-n-ball]
#higherdimensions #geometry #mathematics #educational #SphereVolume #5DGeometry #MathVisualization #GaussianIntegral
Переглядів: 236 853

Відео

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Переглядів 1,2 тис.Рік тому
Today, we're venturing into the fascinating realm of exponential equations and solving this with substitution to turn them in to parametric equations! 🖊️ Follow Along: Ready to dive into this United Kingdom Math Olympiad Challenge? Excellent. Grab your pen and paper because we're about to embark on a mathematical journey. We'll walk you through each step, explaining the "why" behind every move,...
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Solving Simultaneous Equations Made Easy: France Math Olympiad Trick
Переглядів 212Рік тому
Today, we're diving deep into the world of simultaneous equations, and we're not just dealing with two variables-no, we're upping the ante with three variables: A, B, and C. Intrigued? You should be. We're going to crack this puzzle using a trick straight from the France Math Olympiad. But that's not all. This method will arm you with powerful tools to solve simultaneous equations in record tim...

КОМЕНТАРІ

  • @Fkd-About-Found-Out
    @Fkd-About-Found-Out Місяць тому

    in the gravity well of the earth, there is a peak at the centre. a null point in spacetime where the planets mass pulls you out in equal opposite directions, for all intent and purpose you would be weightless here with 100% of the earths mass above you.. think of this point as a manifold, thats where your sphere can become a donut. or toroidal spiral, or unknot.. The maths of a sphere are the same as a cone tho, and once you passed 20% of your way to the core you have already passed 50% of the mass of the earth.. it doesnt seem right to me that we have a solid iron core. Look how a rotating ball of water acts in microgravity, bubbles settle out on the axis of rotation and heavy things settle to the edge of the sphere, its weirdly counter intuitive, up becomes down and down becomes up Make a cootie catcher, its the best way you can make a hypercube with a sheet of paper, girls have been making them for generations, but its just carefully folded space in 4 dimensions. when you break it down there is something about it... Imagine that null point for a black hole, would it give the thing 2 event horizons? one external that we know about and one right at the centre of all its mass... imagine a pocket there, just mm in size flat but spherical.. it could be so small and yet contain the entire observable universe in there on one scale and perspective. They think we live on the outer shell of the event horizon, i say we live on the inside of a singularity.. What happens if gravity can unite like the other forces, when down stops becoming down in the gravity well that is a black hole.. if it went supercritical neither event horizon need ever know, if you imagine the void outside our bubble is the event horizon, then we need to travel faster than light to beat the curve in space, seeing as even the big bang doesnt break causality, the event horizons stay, and never know that supercriticality happened. Its like pocket universes inside eachother like russian nesting dolls. different scale and temperature indistinguishable because your tick rate is weirdly tied with C but that dilates as things get hotter or cooler, relatively speaking.. its all illusions of scale and perspective, could you tell if you shrank down so a hydrogen atom was as big as a star, it would feel like empty space, void of lightwaves or air that you evolved to process.. only chance of you seeing yourself is those ripples of quantum dynamics. on your scale and perspective those waves through space could be in visible wavelengths.. everything outside so red shifted its dark, old lightwaves from the sun are flat in your world now.. its just a different scale...would it look like our atomical idea, or be resembling a glowing hot ball of gas vibrating the shit out of spacetime.... Photons are an illusion, like seeing a ghost event.. at some point enough energy hits spacetime that it glows in visible wavelengths, like ripples on a pond as its hit by a rock, the waves are what we see and feel and when one hits you you swear you see the rock hitting the surface of the water.. but you see it as a spark, not a rock.. the rock was the thing that hit spacetime hard enough it fought back, we constantly all emit IR wavelengths, its the only real spectrum you are visible in.. you are donating energy to space as it cools you to your surroundings. Stars do the same but its so much more energy in such higher frequencies, but its all just the same thing, energy being dumped into space. On one scale and perspective your lightwaves in the IR spectrum are as bright as a star, just change C.. look at your lightwaves on a different scale, and they look bright as fuck.. the higher dimensions are above and below us, in size and scale, and they all look the same, weirdly flat but spherical. there is no real difference in a hypersphere stack, than there is to the atomic arrangement around a nuclei. it is all the same thing on different scales and perspectives. the math for water evaporating and uranium decaying has the same probabilities, just tweak C and see it as a the same thing at a different pressure and temperature.. lead is like a frozen block of water, it wont evaporate or decay, but change the pressure and density of the universe and ice melts and things become favourable for that decay... its all just waves of energy in space. from stars to us.. we are just crystallised fundamental forces, trying to understand how the cultists got control of the world, we give all this shit confusing names but its the same shit happening on different scales of reality, everything is just vibrating energy fields interacting, we are the butterfly effect on the macro scale.. trying to understand the universe from a limited perspective I can flatten out the earth if you remove the dimension of time, and it looks like a piece of Candy Corn.. Start with the UN map of the globe, its a flat starting point, all points on that map are gravitationally flat, its like starting at the north pole and flying to the south pole, rotated around its axis, the external line of the sphere is all the same point on the south pole.. thats their flerfler map, dig down 1 mile and do the same thing, map the flat gravity plane, do it again and again and you will have about 4000 layers getting smaller. Now centre all the layers and stack them, you have a cone made from a sphere.. or a piece of candy corn, and that is how the earth looks if you remove the dimension of time curving space.. Mathematically a sphere and cone are the same thing.. I wonder if i flattened it out for density would that same map of the earth look like a cylinder... strange thing comes from my cone map, it visualises how time dilates as you travel to the core, the length of each line is how dilated time is due to your gravitational field.. at the core its non existent. just like being on the same orbit in space without the planet there... it also represents how much volume is above you or below you as you go to the core.. Reality makes us see a 3d sphere in space but we are looking at a 4D cone, account for pressure and i bet it would look like a cylinder... its weird we use light as a yard stick when it doesnt play by the same rules as mass.. it bends a bit sure but not like mass does.. if it did the universe would look very spherical to an outside observer but flat inside, you would be able to see paris from LA as the light takes an orbit around the earth

  • @gmrb5092
    @gmrb5092 5 місяців тому

    The urge to become a math genius after watching this kind of videos is insane 😅

  • @zweisteinya
    @zweisteinya 7 місяців тому

    Hmmn

  • @semseddinehedzade5872
    @semseddinehedzade5872 7 місяців тому

    1 zero=1 point 2 point=1 line 3 line=1 triangle 4 triangle=1 tetrahedron 5 tetrahedron= 1tetrateradron the only 4d object that fits 3d

  • @iliagozalishvili2803
    @iliagozalishvili2803 7 місяців тому

    crystal math more like crystal meth(ok just joking, love your videos)

  • @BagasPratama-ny4lz
    @BagasPratama-ny4lz 7 місяців тому

    So, where the sphere???

  • @ahmetdiri1031
    @ahmetdiri1031 8 місяців тому

    Wrong Tiitle... It should be How To Calculate.... Not how to see... You're doing it on purpose to get more views.

  • @Help_m-e-172
    @Help_m-e-172 8 місяців тому

    Βρω η Λάβ ματη υάουόουόουόουόουέι

  • @pengutiny6464
    @pengutiny6464 8 місяців тому

    the whole time I watched was me trying to comprehend what you were saying

  • @microwave856
    @microwave856 8 місяців тому

    1:19 kinda looks like a parallelogram to me but you do you

  • @SeanSent3
    @SeanSent3 8 місяців тому

    in 4D, no stair is required.

  • @yolamontalvan9502
    @yolamontalvan9502 8 місяців тому

    Your videos are amazing. Thanks. You forgot to tell us what software you used to make the animations.

  • @yolamontalvan9502
    @yolamontalvan9502 8 місяців тому

    You forgot to mention what software did you use to make your animations. Great video.

  • @The_Annihilator123
    @The_Annihilator123 8 місяців тому

    alternative title: how to pass a math test in 9 minutes

  • @Porpure
    @Porpure 8 місяців тому

    The video makes no sense because no one will understand this so its useless

  • @Orangejuise96
    @Orangejuise96 8 місяців тому

    using this, we can see what 4d looks like. Example: if we can put a 3d object in 2d ( drawing a sphere on paper ) then we can theoretically draw a 4d sphere. Any objections?

  • @dr.angerous
    @dr.angerous 8 місяців тому

    Wow

  • @Ecurb_II
    @Ecurb_II 8 місяців тому

    Its like trying to explain a sphere to a 2d being.

  • @ksibigowtham
    @ksibigowtham 8 місяців тому

    There is nothing regarding 4D just stone random functions

  • @Ostup_Burtik
    @Ostup_Burtik 8 місяців тому

    bruh, we get 0 if use 0D

  • @6luh4uk619
    @6luh4uk619 8 місяців тому

    instructions unclear:my brain exploded

  • @Bart_53
    @Bart_53 8 місяців тому

    I feel smart when i see an number😊

  • @bz3098
    @bz3098 8 місяців тому

    ok, pero... como se mira la esfera de la cuarta dimensión?

  • @Adinailton_gato.animation
    @Adinailton_gato.animation 9 місяців тому

    How 5D?

  • @athensballthegreat
    @athensballthegreat 9 місяців тому

    .... I understood nothing lol

  • @VidyuthChandrasekhar
    @VidyuthChandrasekhar 9 місяців тому

    Too Much Math

  • @MOEMEN2020
    @MOEMEN2020 9 місяців тому

    As a person in preparatory 3 my brain explode my teacher will suffer to make me understand

  • @SpaceAnaster
    @SpaceAnaster 9 місяців тому

    I feel bad for the 4 dimensional beings that have to learn how to calculate the area of a sphere in school for their homework

  • @phoenix_12834
    @phoenix_12834 9 місяців тому

    😅in my side i think 4th diamention view is 360⁰ just think that

  • @ssrinivasan007
    @ssrinivasan007 9 місяців тому

    👍

  • @Zorox435
    @Zorox435 9 місяців тому

    4d is x y z and time

  • @indiancreatorsummittoday4003
    @indiancreatorsummittoday4003 9 місяців тому

    Idk why some mf talk about 4d get help

  • @Youssefmp5
    @Youssefmp5 9 місяців тому

    Dude you destroyed our Bain 💀

  • @angelicanillo7724
    @angelicanillo7724 9 місяців тому

    What is 100d

  • @cliptracer8980
    @cliptracer8980 9 місяців тому

    So to prove the true dimension of a foreign sphere we could attempt to measure it and see how it matches these values. However, possible not all dimensions contribute mass. And in fact most won’t. More likely forms instability governing harmonics. Static. Radiation. Hums. The whoville.

  • @jharanc
    @jharanc 9 місяців тому

    How about 5th dimension

  • @SupaSaiyaJinBlue
    @SupaSaiyaJinBlue 9 місяців тому

    Some random creature in 2D: "How to see circle in 3D"

  • @Tcrrxzz
    @Tcrrxzz 9 місяців тому

    Can someone tell me WHAT IS “R”

    • @watchf
      @watchf 7 місяців тому

      Radius maybe

  • @Tcrrxzz
    @Tcrrxzz 9 місяців тому

    What is R and why with respect?

  • @kazoeteta9168
    @kazoeteta9168 9 місяців тому

    Hi, I'm Aryd from Indonesia. I have a question for u, sir. I found the n-dimensional Area of Sphere is really fascinating, but when I checked the coefficients for the r^n, it starts to decline after n approx 5.257 and converges to zero as n increases. Does it means our universe is actually shrinking after the 5th dimension, or is it possible that sphere doesn't exist in such a very high dimension?

  • @babyyooda5399
    @babyyooda5399 9 місяців тому

    i just spend 10 minutes to not see an 4d sphere

    • @-Lanturns-.mp3
      @-Lanturns-.mp3 3 місяці тому

      Thank you bro, you saved so much time for me

  • @minhkhangenglishkids9743
    @minhkhangenglishkids9743 9 місяців тому

    What is 2^53|~5

  • @markpatrickmac9784
    @markpatrickmac9784 9 місяців тому

    z=z²=c

  • @jamesmoran7511
    @jamesmoran7511 9 місяців тому

    All theoretical. Cool topic but doesn't translate well to the 3D space we inhabit. Still interesting

  • @DoneWithOtherPeople
    @DoneWithOtherPeople 9 місяців тому

    Well the question lies... Does it really change its shape or does it change its shape exclusively in other dimensional territories...

  • @animatocratio1212
    @animatocratio1212 9 місяців тому

    Me:*confused unga bonga sound*

  • @dazgarcajosepablo1048
    @dazgarcajosepablo1048 9 місяців тому

    I was here to see not to learn

  • @lililili-mm9qe
    @lililili-mm9qe 9 місяців тому

    wow great knowledge . who wrote the script is amazing.

  • @wingsumng2420
    @wingsumng2420 9 місяців тому

    [ ( x - x1 ) ^4 + ( y - y1 ) ^4 ] × h × n × t = r^4 × h × n × t = 4D

  • @заряд-о3д
    @заряд-о3д 9 місяців тому

    Бред сумасшедшего