Generating Conic Sections with Circles | Part 3. The Hyperbola

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  • Опубліковано 25 жов 2024

КОМЕНТАРІ • 142

  • @ThinkTwiceLtu
    @ThinkTwiceLtu  3 роки тому +110

    Hey, it's been a while:) I've had a busy spring semester but I've finally graduated and had some time to work on the last episode of "Generating Conics with Circles" series. Hope you enjoy it.
    Also, this is the first time that I have produced a piece of original background music for the video. I'd love to hear your feedback on it as it will help me create better tracks in the future.
    Thanks for the support:)
    P.S.
    Try playing around with this interactive sketch I made: preview.p5js.org/psyduck/present/EmhNIo60N
    You can drag around the focii to see how it affects the geometry of a conic. (It might be a little buggy on mobile so open the link on your PC if possible)

    • @KJ-zs7pi
      @KJ-zs7pi 3 роки тому +4

      We were waiting for u 😃

    • @zaferalabbas
      @zaferalabbas 3 роки тому +2

      Awesome video and awesome music!! What are you studying?

    • @omgawesomeomg
      @omgawesomeomg 3 роки тому +5

      Congrats on graduating!

    • @ThinkTwiceLtu
      @ThinkTwiceLtu  3 роки тому +4

      @@zaferalabbas Thank you:) I study math.

    • @ThinkTwiceLtu
      @ThinkTwiceLtu  3 роки тому +2

      @@omgawesomeomg Thanks!

  • @cosinev1265
    @cosinev1265 3 роки тому +42

    The way the circle seamlessly inverts is so cool

  • @ratherblue140
    @ratherblue140 3 роки тому +125

    now for the final conic: making a circle with only circles

    • @Tim5corpion
      @Tim5corpion 3 роки тому +33

      Expect this to be uploaded on April 1, 2022.

    • @mohit6553
      @mohit6553 3 роки тому +1

      I should but alrrady exists 💀

  • @quantumgaming9180
    @quantumgaming9180 Рік тому +5

    Why did you stop making videos, your channel was my favorite besides Mathologer. When I was high school I was really excited everytime you posted a new video. Now I am in my first year of college hoping to do research in the math department, you were really a great inspiration for me pursuing mathematics. THank you a lot

  • @akssumusic
    @akssumusic 3 роки тому +19

    >Think twice uploads
    >Today is a good day

  • @mohammedal-haddad2652
    @mohammedal-haddad2652 3 роки тому +23

    Welcome back and thank you for the great ideas.

  • @DennisDavisEdu
    @DennisDavisEdu 3 роки тому +6

    Very nice! I hope you get to 100,000 subscribers soon, you're so close! Regarding the music, understated, subtle and quiet is best, it's a nice composition, congratulations. Have you disclosed what software you use to create your videos? Can you disclose anything about your graduation? What will you do next? Thanks for all your videos.

  • @ReaperUnreal
    @ReaperUnreal 3 роки тому +16

    The radius = k part caught me by complete surprise and was so incredibly blindingly obvious after it was said. This was fantastic. A small request though, could you render these out in 4k?

  • @_Parth_Rathod_
    @_Parth_Rathod_ 8 місяців тому +2

    please come back! your vids are amazing please come back

  • @zummyzoomloom
    @zummyzoomloom 3 роки тому +1

    Ur channel is a gold mine ngl, i just bump to ur channel and start binge all ur vids. U're cool dudee

  • @soapyeggonade5865
    @soapyeggonade5865 3 роки тому +5

    glad to see you’re back!! :D

  • @AdityaKumar-ij5ok
    @AdityaKumar-ij5ok 3 роки тому +3

    The awaited returns!!!🙌

  • @swankitydankity297
    @swankitydankity297 3 роки тому +2

    Fantastic and intuitive animations. Amazing video!

  • @gabedarrett1301
    @gabedarrett1301 3 роки тому +3

    Everything about this is stunning! Subscribed!

  • @HadiyaTheGift
    @HadiyaTheGift 3 роки тому +2

    THEY’RE BACK

  • @98perova
    @98perova 3 роки тому +4

    Man i love your videos, they always show how math can be so elegant and beautiful, an they're so we'll done!! Congrats on graduating as well!!

  • @srijanmukhopadhyay8533
    @srijanmukhopadhyay8533 3 роки тому +4

    Congratulations on your graduation!! And amazing content as always😃

  • @kshitij1729
    @kshitij1729 3 роки тому +1

    Wait, just realized the animation and music on this video is top notch! Amazing work friend!

  • @mohit6553
    @mohit6553 3 роки тому +1

    The Background sound is awesome and get me into my peace state

  • @RedStinger_0
    @RedStinger_0 3 роки тому +2

    Beautiful visuals as always!

  • @Monochrome_math
    @Monochrome_math 3 роки тому +2

    Congrats on hitting 100k!

  • @junona271
    @junona271 3 роки тому +1

    Was quite happy to receive a notification. Wonderful videos, thank you. :)

    • @ThinkTwiceLtu
      @ThinkTwiceLtu  3 роки тому +1

      Thanks a lot. I'm happy to hear that:)

    • @junona271
      @junona271 3 роки тому

      @@ThinkTwiceLtu Have you already heard of 3Blue1Brown's new project? It's called Summer of Math Exposition, where "...we encourage more people to put out explainers of math online". From what I've gathered it is a competition where the winners get their educational videos featured in 3B1B's own video. I believe your content would suit perfectly. In case you are interested in such projects and do decide to participate - I wish you the best of luck.

  • @thespuditron9387
    @thespuditron9387 3 роки тому +4

    Ok, colour me very impressed with the double hyperbola. That was amazing. 👌🏻👌🏻👌🏻👌🏻

  • @mathemaniac
    @mathemaniac 3 роки тому +8

    Hey, you have uploaded finally :) Will you upload more frequently from now on?

    • @ThinkTwiceLtu
      @ThinkTwiceLtu  3 роки тому +6

      Yes, definitely more frequently than once in 5 months :)

  • @swift3564
    @swift3564 3 роки тому +2

    Return of the king

  • @AntoCharles
    @AntoCharles 3 роки тому +1

    welcome back awesome job on the music it fits the video nicely and its very chill - contrats on the graduation 🎉🎊🎉🎊

  • @anodynemathematician4194
    @anodynemathematician4194 3 роки тому +1

    Congratulations on a 100000 subscribers.

  • @morkovija
    @morkovija 3 роки тому +12

    For a sec I wasn't sure why I was subscribed, but then it hit me

    • @SpencerTwiddy
      @SpencerTwiddy 3 роки тому +2

      Suppose I am a circle subscribed within another circle which we’ll label Think Twice

  • @EntaroCeraphenine
    @EntaroCeraphenine 3 роки тому +2

    Amazing work as always! Keep up the good work

  • @e-learningtutor1351
    @e-learningtutor1351 3 роки тому +2

    Very neat and great work
    Thanks
    subscribed

  • @drozfarnyline4940
    @drozfarnyline4940 3 роки тому +1

    Hey!
    Finally after a long time
    Thank you for your great animated mathematics

  •  3 роки тому +1

    Great vid as always. I have been wondering which software(s) you use for this kind of video.

  • @chiuchinwu
    @chiuchinwu 2 місяці тому

    Your videos are soooooo cool and amazing!
    BTW, we are the 2 from Taiwan that chatted with you today

    • @ThinkTwiceLtu
      @ThinkTwiceLtu  2 місяці тому

      Thanks! It was great talking to you, hope you have a nice trip :)

  • @PuhlReshaped
    @PuhlReshaped 3 роки тому +1

    Oh hey your back!

  • @Nobody-Nowhere-Nothing
    @Nobody-Nowhere-Nothing 3 роки тому +1

    What's the nice tune in the background? You always choose the music with the least presence. I like it.

  • @maxwellsequation4887
    @maxwellsequation4887 3 роки тому +1

    OMG ITS SOOOOOO BEAUTIFUL!!!!

  • @saveoursquirrels4241
    @saveoursquirrels4241 3 роки тому +1

    Love your channel buddy

  • @riddyrid
    @riddyrid 3 роки тому +1

    Congrats on 100k

  • @dexterity-xt1nl
    @dexterity-xt1nl 3 роки тому +1

    Dude 99k subs so close!

  • @packitboi4795
    @packitboi4795 Рік тому +3

    When will you Come back?

  • @belalsherif553
    @belalsherif553 2 роки тому +1

    Thank you. Great work!

  • @invincible9240
    @invincible9240 3 роки тому +2

    Amazing work dude.Can u tell how do u create such fascinating animations?(i mean what softwares do u use)

  • @Magnasium038
    @Magnasium038 2 роки тому +2

    This is neat, never imagined such a simple connection. Also, maybe it's juts me, but I feel shorter pauses would be better. 1.75x was my normal consumption pace.

  • @POJ
    @POJ 3 роки тому +3

    Think Twice has ascended from the heavens to bless with another beautiful video. Thanks :)

  • @LinhNguyen-bz9ho
    @LinhNguyen-bz9ho 3 роки тому +2

    Congratulations for your graduation!!!

  • @gibrielle9669
    @gibrielle9669 3 роки тому +1

    What is the thing where you fold a line forever but only I'm half and the same direction. Like printer paper can only be folded 7 times in half but it makes a beautiful shape when unfolded so the lines do not intersect

  • @가시
    @가시 3 роки тому +2

    What a masterpiece

  • @Jacob-qx4bc
    @Jacob-qx4bc 3 роки тому +2

    WOOO MATH TIME YEEEEAAHHH

  • @goradiapratham
    @goradiapratham 3 роки тому

    Wow so nice. Congratulations on your graduation 🎓

  • @realcygnus
    @realcygnus 3 роки тому +1

    Nifty AF ! & as always. Can you share that code ?

  • @HebaruSan
    @HebaruSan 3 роки тому +1

    Interesting. So when an interstellar object passes through the solar system on a hyperbolic path, I assume one of the foci is the sun. Where's the other focus? Just some random point out in space?

    • @aaronkou1751
      @aaronkou1751 3 роки тому +2

      Yes, i think so. It’s the same for the elliptical orbits of the planets; one of the Foci is the sun, the other is a random point in space

  • @gytoser801
    @gytoser801 2 роки тому +1

    Can you do a video on perimeter of ellipse

  • @MarianBarbu_
    @MarianBarbu_ Місяць тому

    What software did you use to make the animation?

  • @nahianamin7855
    @nahianamin7855 3 роки тому +1

    :You waited for my video?
    :With every cell of my life
    Wanna see you more frequent cause you've been making such unique animations that makes everyone love math. Love your channel dude

  • @ahusky4498
    @ahusky4498 3 роки тому +2

    As beautiful as always my friend :)

  • @SwordQuake2
    @SwordQuake2 3 роки тому +2

    Forgot this channel existed.

  • @randominternetstranger1148
    @randominternetstranger1148 3 роки тому +1

    I have no idea why I'm here; I understood very little of this. Nevertheless, it was a beautiful experience.

  • @curtistackie7459
    @curtistackie7459 2 роки тому

    What software does he use to create his animations?

  • @jamesmnguyen
    @jamesmnguyen 2 роки тому +5

    You haven't uploaded in a while, still busy with school?

  • @crazychicken8290
    @crazychicken8290 6 місяців тому +1

    please please please upload again

  • @crazychicken8290
    @crazychicken8290 6 місяців тому +1

    i just found ur channel and i neeeeeeeeed u i have trig identities test

  • @hauntedmasc
    @hauntedmasc 3 роки тому +4

    if you didn't think maths could be *_delicious_* well... think twice

  • @harshsharma5768
    @harshsharma5768 3 роки тому +2

    You should submit this and your other videos at 3 blue 1 brown channel, watch his latest video for submission!

  • @xenozodiac852
    @xenozodiac852 3 роки тому

    How many hours do you need to put into these videos?

    • @ThinkTwiceLtu
      @ThinkTwiceLtu  3 роки тому

      It really depends on the video but for the latest few videos I'd say around 30-40 hours per video.

  • @JesseJames-no7ik
    @JesseJames-no7ik 3 роки тому +1

    Cool man

  • @diegoalvarez5289
    @diegoalvarez5289 3 роки тому

    What is the name of this song?

  • @parassharma3567
    @parassharma3567 3 роки тому +1

    Just Wow ;) !!!

  • @gordoteton2203
    @gordoteton2203 2 роки тому +1

    my friend i miss you so much

    • @ThinkTwiceLtu
      @ThinkTwiceLtu  2 роки тому +3

      glad you enjoyed it!

    • @NOT_A_ROBOT
      @NOT_A_ROBOT 2 роки тому

      @@ThinkTwiceLtu where've you been? you haven't uploaded for a while

  • @santerisatama5409
    @santerisatama5409 3 роки тому

    Phi-perbola. :)

  • @hattapalkan8395
    @hattapalkan8395 2 роки тому +1

    still waiting for a new video))

  • @AJRivers21
    @AJRivers21 3 роки тому +1

    What fukn math magic did I end up on? What's going on?

  • @uri1090
    @uri1090 3 роки тому

    You proved that every point on the curve must satisfy the equation. What about proving that any point that satisfies the equation must be on the curve?

  • @tranducviet21
    @tranducviet21 3 роки тому +1

    NOW I SEE A REFERENCE: if B is INSIDE of circle (A,AD) then the locus of P is elipse
    ua-cam.com/video/s4HhukRHe8U/v-deo.html

  • @KJ-zs7pi
    @KJ-zs7pi 3 роки тому +2

    Hi ,after a long tym

  • @brunomartel4639
    @brunomartel4639 3 роки тому

    Today I was studying hyperbola, this is really creepy

  • @alexcheung6501
    @alexcheung6501 3 роки тому +1

    epic

  • @morkovija
    @morkovija 3 роки тому +1

    The choice of elevator music is so-so. Other than that - awesome video)

  • @oscardasilva971
    @oscardasilva971 3 роки тому

    No one disliked this video so I did

  • @Akarsh2022
    @Akarsh2022 3 роки тому

    😍

  • @wills_turtles
    @wills_turtles 3 роки тому

    Could do with dropping math language for something more youtube friendly, (i.e. mark instead of denote)

  • @amarthon6597
    @amarthon6597 3 роки тому

    If I thaught twice, you wouldn’t like the outcome

  • @bgnyc4433
    @bgnyc4433 3 роки тому +1

    Нормальная тема

  • @themptytree3145
    @themptytree3145 3 роки тому +1

    Face reveal plss

  • @stimpyfeelinit
    @stimpyfeelinit 3 роки тому +1

    based
    if anyone is interested there are whole playlists full of euclids elements walkthroughs on yt