Paraboloids and The Building which Set Things on Fire
Ойын-сауық
The building in London at 20 Fenchurch Street started to set things on fire! But it could have been worse. I use a paraboloid to set other things on fire.
Oh, and there's a maths proof.
News stories about the concave building:
www.dailymail.co.uk/news/artic...
www.bbc.co.uk/news/uk-england-...
www.independent.co.uk/news/uk/...
Festival of the Spoken Nerd:
festivalofthespokennerd.com/
Play with the Geogebra parabola demonstration:
www.geogebra.org/material/show...
Music by Howard Carter
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
Book: makeanddo4D.com/
Nerdy maths toys: mathsgear.co.uk/
Пікірлер: 1 000
"When life gives you lemons, scorch them."
@ConductiveFoam
8 жыл бұрын
+mihauinfamous Am I wrong in thinking about combustible lemons and giving lemons back right now?
@RDSk0
8 жыл бұрын
+nHalbleiter It seems that Matt had worked in Aperture Science at some point and got a combustible lemon that burns your house down.
@screwaccountnames
8 жыл бұрын
+KinRedysko *that gets burnt down by your house, in this case.
@mudkip_btw
8 жыл бұрын
Now that's a life quote I'd use
@khorps4756
8 жыл бұрын
DEMAND TO SEE LIFE'S MANAGER, MAKE LIFE RUE THE DAY AND THOUGHT IT COULD GIVE CAVE JOHNSON LEMONS!
Biggest problem I've had in any math class is lack of interest by the instructor. NO SUCH ISSUE HERE. got to love it
@thedave7760
8 жыл бұрын
+1337penguinking I have never understood equations and algebra but that was so well explained I almost got it, well about 75% of it. not sure what I would use it for but it's good to understand new concepts. New to me any way. I might have stood a chance if he was my 10th grade math teacher.
@jacksainthill8974
8 жыл бұрын
+The Dave Well, at least you seem to be among the 37% of people who have managed to understand percentages. Unfortunately, the other 91% just make idiots of themselves whenever they try to use them.
@RalphDratman
8 жыл бұрын
+Laurelindo But students usually look that way too as the end of the semester approaches. Math is fun when exploring but can get boring if one is just plowing through material to pass a course. I find it horrifying to watch a class where both teacher and students seem to have turned to stone.
@sarahszabo4323
8 жыл бұрын
+Jack Sainthill No, no, no, you have it all wrong. EXACTLY 11/10 (110% of all people) of people have trouble with fractions and percentages.
@ahyessmoxersarehere6905
2 жыл бұрын
Profile picture is a blast from the past... WAIT 6 YEARS AGO
Someone made combustible lemons. Cave Johnson would be proud.
@01cton
4 жыл бұрын
Legoman6157 underrated comment
@mitzapper2
3 жыл бұрын
IM THE MAN THATS GONNA BURN YOUR HOUSE DOWN WITH THE LEMONS
@avisian8063
3 жыл бұрын
Criminally underrated comment!!!
@0ia
3 жыл бұрын
@@avisian8063 It's been so long that I don't think that the comment is criminally underrated.
@Bubu567
3 жыл бұрын
Citric acid is flammable. Lemons are full of citric acid. Combustible lemons isn't such a strange thing after all.
*bursts into flame "yes!" *slower burst "yyeess!!" *slowerer burst "YEEEEEEEEEEEEEEEEEE-"
@alexwang982
5 жыл бұрын
T
@alice_in_wonderland42
4 жыл бұрын
YEET
@jttnc
3 жыл бұрын
Favorite part of the video
To me, a Norwegian, the fact that satellite dishes are paraboloids is quite intuitive. It might have to do with the fact that our word for _sattelite dish_ is _parabol_. Just thought you'd like to know (:
@juggernaut93
8 жыл бұрын
+Ze Rubenator Here in Italy we use "parabola" or "antenna parabolica" for satellite dishes :)
@SKyrim190
8 жыл бұрын
+Ze Rubenator Portuguese it is "antena parabólica". Quite often people will drop the antena part and just call them "parabólica"
@somitomi
8 жыл бұрын
+Laurelindo Same in Hungarian: parabola + antenna = parabolaantenna. Both words being loanwords (especially ones with the same spelling as in English) made this super simple, at least in writing.
@proefslak
8 жыл бұрын
In the Netherlands, it is called a "schotel". That word is also used for large plates and for saucers.
@tjimicole2677
8 жыл бұрын
+Laurelindo They truly do live in the future in Sweden.
Love these laid back proofs, and an assumption of basic calc was a pleasant surprise for youtube!
@standupmaths
8 жыл бұрын
I go about life in the blissful belief that everyone knows basic calc. I am often proven wrong.
@julespoon2884
8 жыл бұрын
+standupmaths I made this simulation for a project about a year ago, regarding this issue: www.desmos.com/calculator/uwtgzdcyqw Play with f(x) and change the angle. Consider: www.desmos.com/calculator/dl0thjohpp One day, I will make a mirror that shape and make my dream come true.
@cryptexify
8 жыл бұрын
+standupmaths YOU don't even know basic calc, Matt -__- You didn't know the alternating harmonic series is equal to ln(2).
@julespoon2884
8 жыл бұрын
cryptexify Hm... that is a rather boring topic to present in youtube.
@TrimutiusToo
8 жыл бұрын
+standupmaths well some people do know it. For me it was like. Come on, proof takes too long, derivative of a quadratic formula is an obvious thing, no need to spend so much time on something so simple =) well though if I would explain it myself I would do the same, so sorry for being hypocritical... =)
"You're in London. You're out taking your lemon for a walk." That sounds like an opening to a great interactive text adventure webcomic. XD
@Maukustus
Жыл бұрын
standupmathadventures
@erniesulovic4734
11 ай бұрын
Sherlock Holmes could solve this case in mere seconds
@alexandermcclure6185
Ай бұрын
this got me dying laughing omfg especially bc this seems like what I might do in Britain 🤣🤣🤣🤣
I was experimenting with parabola and may have accidentally blown up a light bulb. The fun part was how my face was about 5 inches away. A real parker square on my part
13:40 Chalk on a blackboard is a fantastic sound! It was a very sad day when my Maths department replaced them with fancy whiteboards and projectors, they were the only thing that persuaded me to offer solutions in lectures.
Having been told, when I was younger, that this kind of stuff is supposed to be boring, I'm grateful to have found this!
11:03 "To get that d" Everyone, take notes.
Hey Matt I showed this in my science class and my teacher was really impressed and my classmates laughed a lot at the lemon part. Keep up the amazing videos!
I watched until the end, think I need to subscribe
@MeAgain998
8 жыл бұрын
+ILYES Same.
@OriginalPiMan
8 жыл бұрын
+ILYES No! Join me in non-subscription and fight the power! Disclaimer, there is nothing to gain by joining me.
11:03 - > Keep that in mind ladies. If you want the d, start with the gradient of the tangent.
@anna-graceschumann8869
4 жыл бұрын
I'm dating a mathematician. This is important
"Loss of generality" nice :)
@unvergebeneid
8 жыл бұрын
Also pretty sad though. I've never before seen generality being lost. People always assure me this wouldn't happen.
@standupmaths
8 жыл бұрын
+Penny Lane It's ok, we managed to pick-up generality again!
@alcesmir
8 жыл бұрын
+standupmaths You dropped the trivial case x=0 in the proof when playing with tan, so some generality was indeed lost on this very sad day.
@robin888official
8 жыл бұрын
+Alcesmire Actually the proof also misses x=1/2, when Θ=π/4 and tan(θ) = 1. In that case calculating tan(2θ) leads to division by zero. ;-)
@alcesmir
8 жыл бұрын
+Robin Koch The singularity at x=1/2 is quite meaningful though, since inverting it gives the correct slope (1/inf=0). In a sense the same applies at x=0, since tan(θ)=0 implies tan(2θ)=0 (from periodicity) and inverting that gives you ±inf depending on the limit you choose. I think a more proper mathematician would scoff at both of those (ab)uses of infinity, albeit being technically ok.
The windows were aligned to the parabaloidal architecture, but can be detuned to actually be flat wrt the street. It's a tweak engineers have had to invent to save architects for decades.
Pfft this is so fake - we don't have sun in Britain
@wea69420
8 жыл бұрын
it will reflect rain and soak your lemon!
@fisch37
3 жыл бұрын
@@wea69420 Assuming your rain is hail and indestructible (so hail in North-Rhein Westfalia) , yes
"accidentally curved in a certain way" How do you know it's accidental? What if it's an evil alien who came to Earth to sabatoge all of our lemons?
@fisch37
3 жыл бұрын
Pretty sure they'd target the cabbages
@j.hawkins8779
3 жыл бұрын
Adorable pfp
@NoNameAtAll2
11 күн бұрын
every villain is lemons
I love your enthusiasm and willingness to explain in the simplest terms possible without losing the meaning. Keep up the great work! :)
I love your videos Matt. I genuinely enjoy your enthusiasm for math(s) and whether you realise it or not you are helping nurture my future in math by making these videos.
That curvy action kept me focused all the way to the end.
It wasn't until this year that I appreciated that "trigonometry" is literally "the study of trigons" or, as we know them now, "triangles".
@Moingboy
7 жыл бұрын
Well... because it uses "metry" it's probably more literally the writing of trigons. And to my understanding, at least from what I remember from long ago, a trigon is less limited in its definition. (Something about one of my teachers calling a triangle with curved sides a trigon)
@eideticex
7 жыл бұрын
Trigonometry. Trigon, Metry or Measure. The study of measuring triangles.
@seraphina985
7 жыл бұрын
+Moingboy As Alan mentions -metry is to measure, the suffix for writing is -graphy from ancient greek gráphō, latin -graphia, french -graphie to the engilish -graphy to write. Thus words like calligraphy, cartography, biography, photography
@deeelmore4560
6 жыл бұрын
Seraphina S pornography
I like your charisma, instructions are clear... Video 10/10 audio 10/10 please never stop making these. You and that other numberphile guy... Wow
Hey Matt great video! Your enthusiasm is contagious!
The sound chalk makes is satisfying! I have no idea what you're talking about.
Every mathematics teacher should be this enthusiastic. I was lucky enough to have a pretty good math teacher, but it surprises me not one bit that so many people not only struggle with it, but then failing to get help and see this level enthusiasm, write it off from their list of things they want to have in their brain. Keep up the enthusiasm/
@pigeonlove
5 жыл бұрын
This is a 15 minute video...
Thank you very much, Mr. Matt! I find your videos simply amazing and you inspire me to go beyond what I know. I already knew differential calculus (and some of Integral Calculus), but you have been teaching me that it's also about getting your hands dirty in the nitty gritty of Mathematics and having a good time, rather than merely learning out of the book (which I can not undersell, but I hope you get the point!). True "Mathematical" thinking comes from solving problems and thinking about them in abstract ways, which seems tough to me right now, but I hope it shall get easier as I spend more time doing so! Once again, thank you very much!
Thank you so much for doing this proof! It was a step or two up on the rigor from the typical videos here (and so much more on numberphile), and as someone who enjoys actually seeing and proving the math rather than talking about it, it was a great breath of fresh air.
I was just about to demand a proof
@standupmaths
8 жыл бұрын
I hope you're happy then!
@JamieThelin
8 жыл бұрын
standupmaths certainly, awesome video as usual :)
this was fun, I feel like I don't get to watch people work out slightly complicated math problems anymore.
13:40 was a little nugget of gold. The sass came from no where and I appreciate that.
As a long-time Brady's countless channels viewer, surprised I've somehow missed your channel! Brilliant stuff, I love your humorous teaching style :P
In Sweden, a satellite dish is actually called a "parabol".
Combustible lemons. Portal anyone?
The enthusiasm in this channel reaches the sky. I love it haha.
Thanks for the great video Mr Parker was very entertaining to watch!
"I highly recommend deriving the formula. It's good fun" said Matt. I'm writing my secondary education exam the next month. I can assure you I hate proving LHS trigonometry = RHS, because there are many formulae to choose from and there are dead ends.
@standupmaths
8 жыл бұрын
Yes, and trig formulae are surprisingly easy to break with the wrong domain/range. I skipped right over when x=0 for that very reason…
@dan339dan
8 жыл бұрын
standupmaths It would be fun doing them not timed though :) I just hate myself when I skip them in the exam thinking I wouldn't have time just sitting there checking every steps and know that if I saw the solution, I would totally understand the thinking process. I guess I need practice?
@purplezart
8 жыл бұрын
+standupmaths isn't the x=0 case fairly trivial anyway? tangent slope at 0 is 0, so the beam reflects at an angle of 0... am I missing something?
@wilddogspam
6 жыл бұрын
purple zart one year late, but you're missing that there's no one y intercept or d to be found at 0. Both tan(0) is undefined and he explicitly removed it from the algebra side when he asserted that 4x/4x = 1, which is only true for x ≠ 0.
he should be next doctor who
@spidercollector9636
7 жыл бұрын
Doctor. Not Doctor Who. The Doctor, say it with me, THE Doctor.
@kjono4611
7 жыл бұрын
Gunar Kroeger surely he'd be too busy talking about spreadsheets and proofs to finish an episode though
Ha ha, loved the video, Matt! I'm really glad to see you still making lots of regular videos; I hope this continues as they are always a joy to watch :)
@standupmaths
8 жыл бұрын
I'll keep making them as long as I have the time!
16:05 thank you matt, this simple and yet powerful act of recognition and appreciation, and that feeling of belonging the arises from it. Belonging to the same species of math nerds. You make me want to embrace and accept fully that part of me that was always there, and make me want to express that nerdiness shamelessly - I have always felt compelled to hide rather to fully accept who I am - You are an inspiration, And being able to talk about maths, making it accessible and even an attractive subject, is quite an achievement.
@engelsteinberg593
2 жыл бұрын
Except that like math is no being "nerd".
who doesn't like chalk board?? much more fun.
@stormsurge1
8 жыл бұрын
It smells really bad
@ze_rubenator
8 жыл бұрын
+kkarahodzic wat?
@obink3245
8 жыл бұрын
+Hector Rodrigues I hate the feeling of chalk in my hand, it just feels so strange.
@zmail8566
8 жыл бұрын
14:00 "we're sorry for your white boy ears"
@sk8rdman
8 жыл бұрын
+Hector Rodrigues I wouldn't say I'm opposed to chalk boards, but I'm generally in agreement that dry erase boards are better. Chalk is messy, dry, and some people have an allergic reaction to it. I can appreciate the nostalgia of a chalk board, but at the end of the day, I'd rather use dry erase in almost every case. However, in both cases, one should always use the appropriate equipment to erase. Wiping down either type of board with a bare hand is a good way to ruin it.
Perhaps do a video about retroreflectors.
@standupmaths
8 жыл бұрын
That's a good idea. I love the 'cat eye' reflectors used on roads.
I have absolutely no idea what you just said, but it looked really awesome!
This is so awesome! :D I love weird architecture & mathematics & history. Thank you for making this video!
To be honest, I love chalkboards more than whiteboards. the sound of the chalk (when used correctly) is so satisfying.
@kalebbruwer
7 жыл бұрын
but the powder is irritating and most teachers properly clean the thing only once a year so it's a big mess.
@alexeysaranchev6118
7 жыл бұрын
They're making the pupils clean the board here. "Who is on duty today?" used to be the basic English line everyone knew along with "London is the capital of Great Britain"
@frantisekzverina473
7 жыл бұрын
PerunaVallankumous indeed, and the squeaking of the whiteboard markers is just pure evil
@alexkatz9047
7 жыл бұрын
Obviously only russian pupils have that tradition.
@Momo40K
6 жыл бұрын
I firmly agree!
Nice video. Maybe if you had been my Math101 lecturer I might not have ended up as a lawyer.
Always a beautiful proof when it finally simplifies. Thank you for that.
Matt I love you so much that I clicked the advert adjacent to the video (wait for it) 3 times!
Where did the lemon go at 1:12?
@SaylorTwiftDeutsch
8 жыл бұрын
+Rosie Isla Not sure if you want an accurate answer but my best guess is that the lemon wasn't actually there. He edited that in with some clever motion tracking and made it poof away at the right moment.
@rosieisla8286
8 жыл бұрын
+HOLyPumpgun | Gaming Hmm, maybe. I would say something like "Wouldn't that be a lot of work?" but it's Matt Parker and he isn't known for doing stuff the easy way.
@BlobVanDam
8 жыл бұрын
+HOLyPumpgun | Gaming I think the lemon was real, and he actually just dropped it, and covered it up craftily with the explosion and a bit of editing.
@YourMJK
8 жыл бұрын
+HOLyPumpgun | Gaming Much much simpler: It was a real lemon, he just dropped it and hid the falling lemon behind a black bar he edited in later
@SaylorTwiftDeutsch
8 жыл бұрын
YourMJKTube That would make sense, except his hand is in the way. So unless he has a perfect image of his own hand in that position, that wouldn't work. You'd see the lemon fall in front of his hand and then disappear in the black background. And besides, it's actually not very difficult to motion track a few seconds of video like that. He may just have done some frame-by-frame keyframing as well, who knows.
There was (is) a solar oven in southern France using exactly this concept.
@rosieisla8286
8 жыл бұрын
In one of my schoolbooks it also has an example of cheap solar ovens made with tinfoil in poor countries. Apparently it works really well, because a lot of poor countries are located at the equator.
@rich1051414
8 жыл бұрын
+Rosie Isla The nice thing about them is the larger you make them, the more powerful they become, and the larger you can make the focal point(which is the actual oven). Since you can literally make them out of garbage, that is a really powerful thing for people in any country to learn.
@finbob08
7 жыл бұрын
+Richard Smith however, the parabola has to be extremely accurate for each day to reflect to the focal point
@finbob08
7 жыл бұрын
ray
I used this video to teach my 9 year olds about the usefulness of paraboloids! (only the first half, the Math is too complex). I love how you introduce these concepts! Please tell me how to finance more of your videos!!!
@standupmaths
8 жыл бұрын
I'm glad the videos are useful! They can come back for the proof when they're older. I'll be asking around for support soon, but at the moment I'm getting by with old equipment I already own and small amounts of free time. Stay tuned!
Well that was one of the best videos I've ever watched on KZread. Suck us in with the fun premise and then the basic explanation, chuck in an explosion, hit us nerds with the proof, with a beautiful ending to that proof that fits the whole thing together all interspersed with great comedy throughout. That is factual entertainment at its finest.
Life is like riding a bicycle which is on fire, and you're on fire, and everything is on fire and you're in hell.
"To get that D..." Beautiful quote
You got me Matt. I watched until the end and so, feeling compelled, I subscribed. BTW, I don't need a proof, I WANT a proof!
I have been subscribed for so long. Keep up the great content!
"to get that D we have to start with the gradient of our tangent"
I don't care about the maths, but how the hell did he vanish that lemon at 1:12?
@satchmo1991
6 жыл бұрын
He drops it, replaces it with the fire effect, and masks it as it falls out of frame, I am fairly certain.
@wurttmapper2200
6 жыл бұрын
Satchmo1991Music I thought the same thing
after a long work day, this was very relaxing and wonderful
Going through precal classes now. personally It is a lot of fun. thank you for doing videos such as these. Sometime this is all I need to stay intrigued. I love and very much miss the sound of chalk on a chalkboard!!!!!
Ha, jokes on you Matt. I watched the entire thing and didn't subscribe!
@alexeysaranchev6118
7 жыл бұрын
Me too. Because I was already subscribed.
@fisch37
3 жыл бұрын
@@alexeysaranchev6118 :o
@larskruse7575
3 жыл бұрын
@@alexeysaranchev6118 well you could have desubscribe and resubscribe again
I'm not sure how I feel about this. ._.
@TauGeneration
5 жыл бұрын
To get that D..
I just love this channel
COMBUSTIBLE LEMONS!!! GODS MAN CAVE JOHNSON ACTUALLY DID IT!!!!
Mathematics: the art of doing nothing and still getting it done.
The proof's the best. So beautiful!
love your enthusiasm about maths
hahah yup, already subscribed.
Mmm, pyromania.
@Meb8Rappa
8 жыл бұрын
+Sulthan14 Pyraboloidmania
@slendy9600
8 жыл бұрын
+Meb8Rappa well done
Thanks Matt Parker. YOU ARE THE BEST. YOU MAKE MATH LOOK EASY.
Wonderfully done with a great sarcastic sense of humor!
Already there in sixty symbol poor Matt Brady always beats you
@standupmaths
8 жыл бұрын
Really‽ Honestly, every time…
@lylium6830
8 жыл бұрын
+standupmaths Nice use of the interrobang there Matt! It makes me happy to see someone using it :D
@vasudevans1224
8 жыл бұрын
+standupmaths the first time to my knowledge being the Valentine's Day one
WHY ARE THERE 4 ARROWS IN 7:30 INSTEAD OF TWO YOU CAN'T SAY WHAT'S THE POSITIVE DIRECTION THAT WAY AHAHAHAHAH
@danielpare9129
8 жыл бұрын
+guy hircshorn I think they are infinite answers to that question.
@jeffc5974
8 жыл бұрын
+guy hircshorn The arrows don't indicate positive, they indicate a continuation. Continuations can go both positive and negative.
@Poldovico
8 жыл бұрын
+Jeff C Arrows can indicate continuation? I always thought they just indicated orientation, and continuation would be indicated with dots if it were indicated at all as opposed to just assumed to be clear.
@jeffc5974
8 жыл бұрын
Poldovico Math is different from english.
@Poldovico
8 жыл бұрын
Jeff C I'm sorry, I don't understand what you mean by that.
Bike lights are often made with paraboloid shape, so the light source shines light more straight towards the front, letting the light reach further.
i love your energy and the sound of chalk
I can't believe the guy that gets annoyed at 'incorrect' snowflakes is making videos so regularly
@standupmaths
8 жыл бұрын
I can't believe the guy who got annoyed that I got annoyed at inaccurate snowflakes can't believe that.
Whiteboards > Blackboards.
@MysteryHendrik
8 жыл бұрын
brown paper > whiteboards
@dubleeble
8 жыл бұрын
+MysteryHendrik Low Latency Pen Tablet > brown paper
@SpySappingMyKeyboard
8 жыл бұрын
+Leafy is Beefy Stone tablets > Low Latency Pen Tablet
@gregbernstein7524
8 жыл бұрын
+Arden Varley-Twyman Get outta here you young whipper-snapper!
@jja77a
8 жыл бұрын
+Arden Varley-Twyman Racist!
You have one of the most interesting opening themes! And outro!
GREAT video. Continue with that kind. I love it.
This was marvelous!
I don't understand 80% of the math, but I still enjoy watching for some reason. Great work!
Failed my junior high math because I never understood a thing. Now I'm watching your video, it suddenly all makes sense
for a fairly trivial bit of geometry, that was a satisfyingly rigorous proof. I especially liked the general lack of hand holding. Its nice when a youtube video about math assumes that you might actually know some math going in.
Im used to these boards. We use them mainly in my school. How did you know I was subbed, that's magic!
I wasn't already subscribed, but I am now. I've been watching and enjoying your videos for years; I even tie my shoelaces more efficiently now thanks to you.
I've never been so excited waiting for the climax of a proof
Another truly splendid video, as is the most of yours :) Great ending!
Chalkboard proofs are awesome, keep 'em up!
Excellent video.
man, I couldn't get any sleep because I couldn't get to this conclusion. I'm really thankful, t's way funnier to look at you on a black board than reading for it in a sober well-documented piece of paper
I really need to work on my presentation skills. These videos are always so enjoyable.
@standupmaths
8 жыл бұрын
It is all about practice. The more experience you have talking about mathematics, the better you get.
13:46 we love the sound. More black/green board maths please.
The small special effects like the disappearing of the lemon at the beginning are so awesome :D
Proofs are so satisfying to watch
You were right once again Matt. I was indeed already subscribed. Is there anything you don't know? I remember the Sixty Symbols episode where Merrifield talks about that building and that very statue on the Nottingham campus. Seeing this proof actually helped me understand that video better. I should go watch it again to see if it really does make more sense now.
I watched this video over a year ago. Three months ago I started (and yesterday I finished) a study abroad at qmul. I am amazed at how much of London I had forgotten about from this video 😂
It is so satisfying to watch a proof that requires nothing but basic calc and trig. It's stuff like this that makes me want to go for a PhD 12 years after getting my Master's
Interesting time for this to be a suggested video.
He knew I was already subscribed. He's like a math psychic.
I wish you'd been my maths teacher at school! I still did okay in maths but I didn't end up going into a career in it. But now I'm learning a lot from you and the numberphile guys and maybe one day I'll actually take some higher level maths courses and get my maths to where it could have been :)
@standupmaths
8 жыл бұрын
It is never too late to learn maths. And it makes for a great hobby.