Generating Conic Sections with Circles | Part 3. The Hyperbola

Learn mathematics in a fun and interactive way at:
brilliant.org/ThinkTwice
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(@thinktwice_ltu)
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Contact me:
► [e-mail]

[@ThinkTwiceLtu]

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]

We were waiting for u 😃

[@zaferalabbas]

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

[@omgawesomeomg]

Congrats on graduating!

[@ThinkTwiceLtu]

@@zaferalabbas Thank you:) I study math.

[@ThinkTwiceLtu]

@@omgawesomeomg Thanks!

[@cosinev1265]

The way the circle seamlessly inverts is so cool

[@mohit6553]

Yeahhh

[@ratherblue140]

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

[@Tim5corpion]

Expect this to be uploaded on April 1, 2022.

[@mohit6553]

I should but alrrady exists 💀

[@akssumusic]

>Think twice uploads >Today is a good day

[@ThinkTwiceLtu]

:')

[@mohammedal-haddad2652]

Welcome back and thank you for the great ideas.

[@ThinkTwiceLtu]

Thanks for watching

[@ReaperUnreal]

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?

[@quantumgaming9180]

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

[@DennisDavisEdu]

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.

[@soapyeggonade5865]

glad to see you’re back!! :D

[@AdityaKumar-ij5ok]

The awaited returns!!!🙌

[@swankitydankity297]

Fantastic and intuitive animations. Amazing video!

[@zummyzoomloom]

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

[@srijanmukhopadhyay8533]

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

[@EntaroCeraphenine]

Amazing work as always! Keep up the good work

[@gabedarrett1301]

Everything about this is stunning! Subscribed!

[@ThinkTwiceLtu]

Thank you!

[@Monochrome_math]

Congrats on hitting 100k!

[@ThinkTwiceLtu]

Thank you!

[@drozfarnyline4940]

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

[@thespuditron9387]

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

[@junona271]

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

[@ThinkTwiceLtu]

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

[@junona271]

@@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.

[@kshitij1729]

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

[@ThinkTwiceLtu]

Thank you!

[@98perova]

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!!

[@ThinkTwiceLtu]

Thank you!

[@RedStinger_0]

Beautiful visuals as always!

[@ThinkTwiceLtu]

Thanks!

[@swift3564]

Return of the king

[@HadiyaTheGift]

THEY’RE BACK

[@AntoCharles]

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

[@anodynemathematician4194]

Congratulations on a 100000 subscribers.

[@maxwellsequation4887]

OMG ITS SOOOOOO BEAUTIFUL!!!!

[@riddyrid]

Congrats on 100k

[@ThinkTwiceLtu]

Thank you:)

[@_Parth_Rathod_]

please come back! your vids are amazing please come back

[@mohit6553]

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

[@saveoursquirrels4241]

Love your channel buddy

[@dexterity-xt1nl]

Dude 99k subs so close!

[@가시]

What a masterpiece

[@e-learningtutor1351]

Very neat and great work Thanks subscribed

[@ThinkTwiceLtu]

Thank you:)

[@morkovija]

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

[@SpencerTwiddy]

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

[@PuhlReshaped]

Oh hey your back!

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

[@belalsherif553]

Thank you. Great work!

[@ThinkTwiceLtu]

Glad you liked it!

[@diegoalvarez5289]

@@ThinkTwiceLtu pls be back

[@invincible9240]

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

[@ThinkTwiceLtu]

Thank you. I use Cinema 4D

[@LinhNguyen-bz9ho]

Congratulations for your graduation!!!

[@ThinkTwiceLtu]

Thanks!!!

[@Magnasium038]

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]

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

[@goradiapratham]

Wow so nice. Congratulations on your graduation 🎓

[@ThinkTwiceLtu]

✊😔

[@Jacob-qx4bc]

WOOO MATH TIME YEEEEAAHHH

[@Nobody-Nowhere-Nothing]

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

[@ahusky4498]

As beautiful as always my friend :)

[@ThinkTwiceLtu]

Thank you :)

[@gytoser801]

Can you do a video on perimeter of ellipse

[@parassharma3567]

Just Wow ;) !!!

[@realcygnus]

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

[@packitboi4795]

When will you Come back?

[@hauntedmasc]

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

[@ThinkTwiceLtu]

:)

[@gibrielle9669]

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

[@SwordQuake2]

Forgot this channel existed.

[@JesseJames-no7ik]

Cool man

[@curtistackie7459]

What software does he use to create his animations?

[@jamesmnguyen]

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

[@AJRivers21]

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

[@mathemaniac]

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

[@ThinkTwiceLtu]

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

[@HebaruSan]

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]

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

[@crazychicken8290]

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

[@Akarsh2022]

😍

[@diegoalvarez5289]

What is the name of this song?

[@gordoteton2203]

my friend i miss you so much

[@ThinkTwiceLtu]

glad you enjoyed it!

[@NOT_A_ROBOT]

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

[@xenozodiac852]

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

[@ThinkTwiceLtu]

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

[@santerisatama5409]

Phi-perbola. :)

[@randominternetstranger1148]

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

[@alexcheung6501]

epic

[@nahianamin7855]

: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

[@ThinkTwiceLtu]

Thank you!!

[@harshsharma5768]

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

[@hattapalkan8395]

still waiting for a new video))

[@tranducviet21]

NOW I SEE A REFERENCE: if B is INSIDE of circle (A,AD) then the locus of P is elipse kzbin.info/www/bejne/qWWrmaihh62Ybrc

[@crazychicken8290]

please please please upload again

[@KJ-zs7pi]

Hi ,after a long tym

[@ThinkTwiceLtu]

hi:)

[@brunomartel4639]

Today I was studying hyperbola, this is really creepy

[@amarthon6597]

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

[@uri1090]

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?

[@oscardasilva971]

No one disliked this video so I did

[@bgnyc4433]

Нормальная тема

[@wills_turtles]

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

[@morkovija]

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

[@stimpyfeelinit]

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

[@themptytree3145]

Face reveal plss