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Home Tỷ Giá

How colliding blocks act like a beam of light…to compute pi.

admin by admin
March 24, 2020
in Tỷ Giá
40
How colliding blocks act like a beam of light…to compute pi.



The third and final part of the block collision sequence.
Part 1:
Part 2:
Home page:
Brought to you by you:

Error correction: I wrote the answer as floor(pi/theta), when really it should be ceiling(pi/theta) – 1 t account for values of theta perfectly dividing pi. For example, the case of equal masses gives an angle of pi/4, and 3 total clacks.

This beautiful result, and the solution shown here, are due to Gregory Galperin:

And here’s a lovely interactive built by GitHub user prajwalsouza after watching this video:

Speaking of looking glass universes…

NY Times blog post about this problem:

The plushie pi shown at the video’s start:

If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then “add subtitles/cc”. I really appreciate those who do this, as it helps make the lessons accessible to more people.

Music by Vincent Rubinetti.
Download the music on Bandcamp:

Stream the music on Spotify:

——————

3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe:

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Nguồn:https://nhaxehoanglong.com/

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Comments 40

  1. samarendra chandan bindu Dash says:
    2 years ago

    10:46 Looking Glass Universe. 😅

    Reply
  2. Elijah Olsen says:
    2 years ago

    I don’t know how these videos came up in my recommended but it was really satisfying

    Reply
  3. Mauricio Micoski says:
    2 years ago

    Awesome!!!

    Reply
  4. Alexandra Delliou says:
    2 years ago

    2020: 999

    Reply
  5. Luke Hartmann says:
    2 years ago

    That was incredibly elegant

    Reply
  6. wundrweapon says:
    2 years ago

    A lot of these steps feel awfully contrived, designed specifically to get this pi result. At no point did I feel like the shift in perspective came up naturally or that I could have discovered it myself; at no point did the next step within a current perspective seem obvious (especially the square rooted masses and vector dot products). It felt more like a showcase of what math can be, rather than a guiding hand through a unique solution to a quirky problem.

    Reply
  7. Varun Gupta says:
    2 years ago

    Hey OP, so I'm not a physicist or really bright at physics, but I have a question. We see that almost everything in our daily lives, and everything in Physics, Maths and Science in general, has Pi in it. And Pi is irrational. We have computed its value to trillions of digits, but we will obviously never compute (or physically witness) the actual value. Only ever approximations upto n digits.
    My question: So what if we use Pi as our standard unit to measure. Our Unit. Make Pi the "One" of Math. Wouldn't that make computation (and in general, every math and every equation) so much simpler? Pi is no longer 3.14159265358979323 of 1. It's just 1.
    It would be like multiplying all equations with 1/Pi, make calculations of "squares" difficult instead, but it would still simplify most equations with Pi in it. Which is a lot.

    Reply
  8. Julian Danzer says:
    2 years ago

    11:20
    and that's how you can model refraction
    when the practical/appearent speed – is not constant

    Reply
  9. Charles Van Noland says:
    2 years ago

    Glad I caught this during the last hour of pi day!

    Reply
  10. Sky but says:
    2 years ago

    So is the maximum amount of times light can get reflected 180? Or 179 degrees?

    Reply
  11. 3l H4ck3r C0mf0r7 says:
    2 years ago

    Anything that involves distorting the fabric of space is my jam.

    Reply
  12. 没人, says:
    2 years ago

    Fantastic! This vid increased my IQ point.

    Reply
  13. Aaron Hollander says:
    2 years ago

    There is brilliance, then there's genius … then there's this.

    Reply
  14. Alessio says:
    2 years ago

    Me watching the first part:
    Wow, why is PI there?
    Me at the end of this video:
    Wow, why is PI there?

    Reply
  15. dealer of deeth says:
    2 years ago

    12:57 just had a mathgasm

    Reply
  16. Aram Malkhasyan says:
    2 years ago

    You r marvelous

    Reply
  17. David Wilkie says:
    2 years ago

    It actually seems right to see the block as an example of a compound bonded state of e-Pi-i resonant frequency interference positioning, of omnidirectional-dimensional Total Internal Reflection, otherwise known as mass-momentum = latency of Superspin Modulation Superspin, from the superimposed AM-FM communication mechanism of equation E=mC², (short version), in continuous creation connection in time-timing Principle.

    "Very striking" mathematical methodology beautifully illustrated.

    Reply
  18. Bahram Sarabi says:
    2 years ago

    Very nice. I think the final answer is difference. I've obtained -floor(-pi/theta)-1
    For example: theta=pi/4 is led to floor(pi/(pi/4))=4 is wrong; but -floor(-pi/(pi/4))-1=3 is correct
    floor(pi/theta) is correct only when pi/theta is not integer.

    Reply
  19. Huh Neat says:
    2 years ago

    (in math test)
    (Forgets pi)
    (Grabs two blocks)

    Reply
  20. l adrix5521 l says:
    2 years ago

    I don't understand what's happening here but it's so satysfying to watch

    Reply
  21. Lev Just lev says:
    2 years ago

    There's a reason why the light goes in a straight line,
    Light has no mass, that's why it was familiar to the 2 cubes with the same mass .

    Reply
  22. Albin Song says:
    2 years ago

    😓😓 I'm 17 years older in korea…
    I can't understand!!! 😥😥
    Why korean doesn't like math channel 🤬🤬

    Reply
  23. Arash SM79 says:
    2 years ago

    Here's a simulation of this phenomenon
    https://www.glowscript.org/#/user/arashsm79/folder/MyPrograms/program/PiCollidingBlocks

    Reply
  24. Devin Chen says:
    2 years ago

    Is this calculus?

    Reply
  25. AlexYT 1234 says:
    2 years ago

    He Big Brain

    Reply
  26. A_WILD_ABRA appeared says:
    2 years ago

    Why does everything in science and maths and nature and life and universe and reality has to match up at some point its both awasome and spooky that everything we see around us is just the same thing but in another form or way and is just maths in its core … Is the future of the universe decided , do we really have fee will…

    Reply
  27. Aisseilliam Romero Ávila says:
    2 years ago

    Square roots, ruminated

    Reply
  28. Adonas Official says:
    2 years ago

    Most of you know why we came here…

    Reply
  29. IZgate 163 says:
    2 years ago

    Nice video to sleep

    Reply
  30. Alapan Das says:
    2 years ago

    Who discovered this? Please say me.

    Reply
  31. 邓吉 says:
    2 years ago

    妈的,绝了!damn it, super cool!

    Reply
  32. Srishtik Dutta says:
    2 years ago

    But mass is not a vector,how can it be a dot product?

    Reply
  33. MrJuggler says:
    2 years ago

    PLEASE JUST GIVE US THE CLACK SOUND FILE

    Reply
  34. Charm Hole says:
    2 years ago

    my god… anime IS real

    Reply
  35. Jack Johnson says:
    2 years ago

    i have no clue whats going on i jus wanna hear block go clack

    Reply
  36. Mr. Mega mix says:
    2 years ago

    Me : Just watching this for the satisfaction of this beauty

    Reply
  37. Frozen Lotus says:
    2 years ago

    It would be slightly smaller or equivalent to pi due to the circles floor being the diameter, the radius would be a fourth(Roughly) due to the right angle at which the light would reflect against the "Mirror". To understand the alternative world we would need to fold over the first quarter of the half over next to itself with minimal overlapping giving us the slight remaining overhang of the additional digit grater than Pi. Right?

    Reply
  38. ram ogi says:
    2 years ago

    Unfortunately mass(gravity) will be counted in real life

    Reply
  39. Ard-Jan van Etten says:
    2 years ago

    fake because light on a mirror doesn't make sound

    Reply
  40. Justin Moore says:
    2 years ago

    Why would you push the veteran douches on me in school? I knew better and stayed away on purpose.

    Reply

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