Drawing an Egg (with a Pentagon) - Numberphile
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- Опубликовано: 2 авг 2024
- Featuring Johnny Ball... And see more about the egg formula at • The Ultimate Egg-quati...
More links about Johnny & stuff in full description below ↓↓↓
Johnny Ball website (with links to shows and other info): johnnyball.co.uk
Johnny Ball books on Amazon: amzn.to/3uMxB67
More Johnny Ball on Numberphile: bit.ly/Johnny_Ball
See the extra video with Val Narushin on the egg equation at • The Ultimate Egg-quati...
The paper (Egg and math: introducing a universal formula for egg shape) is officially at: nyaspubs.onlinelibrary.wiley.... (may require a subscription or payment)
A free preprint (not the published version but similar) is at: www.biorxiv.org/content/10.11...
The Super Egg on Numberphile: • Super Egg - Numberphile
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. www.simonsfoundation.org/outr...
And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - www.akamai.com/company/corpor...
NUMBERPHILE
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Наука
Don't miss the "egg-stra footage" over on Numberphile2 - ruclips.net/video/tjyFw1BX4eM/видео.html
Is that egg differentiable?
I personally never get tired of egg puns. An eggcellent video. 👏🏻👏🏻👏🏻
@@chispun2 Yes, twice. But not three times
* wow ... *
"Penta GONE, but it's here." 🤣
Very Johnny joke.
Bad dam crash
He’s earned his dad joke certifications a LONG WHILE back…
Nice one🔥😂never saw that
That also reminded me of the yourhardcoreworldisgon (creeper) meme for some reason.
This episode was especially emotional for me. When I was just a child, my grandfather told me he knew how to draw an egg using a ruler and compass. Unfortunately I never asked him how this could be done, but that question never left my mind.
My grandpa would have a birthday this month if he were alive. In a way, I feel good about imagining that maybe this was the solution, and that I no longer need to carry with me the anguish of never having asked what the method was.
❤️your comment touched my heart
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Ah, Johnny Ball is such a wonderfully well-spoken host, pleasure to watch, thank you
Agreed, always a pleasure to see Johnny. He deserves his own TV programme or RUclips channel.
@@SlartiMarvinbartfast He had his own TV show(s), appearing in at least one series of about 6 episodes pretty much every year from 1978 to 1994.
What a lovely gent.
@@rmsgrey What was it called?
@@ArawnOfAnnwn One was called "Think of a Number". There were other titles... "Think Again", "Think It... Do It" "Johnny Ball Reveals All" and probably others.
Such a relaxing voice, and a clear passion. Loved the video!
I immediately got taken back to my childhood listening to Johnny. He still has those mannerisms that made him such a memorable host back in the day.
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I worked with with laying hens for thirty years and I can tell you that the shell is placed on the egg in the uterus. It comes out hard unless the hen is very young or very old or is not getting enough calcium in their diet.
If the egg comes out with a soft shell you can gently press your finger in the shell and leave an imprint of your fingerprint in it as it hardens.
@@PeppoMusic Ever squeezed a bone right after it came out of the hen?
@@PeppoMusic Okay, I want you to tell me how on earth the calcium carbonate crystals that make up the shell form in the half second between the egg leaving the chicken and hitting the ground? Eggs don't have flat spots, so it can't take any longer than that. When we make it ourselves, we bubble CO2 through calcium hydroxide, but that path isn't remotely viable because there isn't enough CO2 in the air, and calcium hydroxide is not great for most living things.
@moi2833 I don’t think 30 years old is an old gator
@Rapid Reckoner Nexus It is hard to let something that wrong stand when you spend your working life in education.
The shape of a bird's egg is evolutionarily influenced by how precariously the species' nests are built. A sphere is the topologically ideal shape for an egg, but it can also easily roll away. An egg shape rolls in a circle, and the "pointier" it is, the smaller the circle.
Accordingly, birds that nest on the ground tend to have eggs that are close to spheres, while cliff-dwelling seabirds have extremely pointed eggs that reduce the odds of them rolling off the ledge and plummeting to their doom.
The plummeting to their doom happens later when they get kicked out for their first flying lesson. :'D
Was there a Numberphile that discussed this? I feel like I saw a video that discussed this before.
Pointy eggs are less likely to roll down slopes too, and the blunt end, where the chick develops, stays cleaner than the pointy end. It seems to be a combination of all three things.
This isn't true, but it's a common myth. Egg shape correlates with the ability to fly. In general, the 'better' a bird species is at flying, the pointier it's eggs are. This is thought to be a side-effect of evolving a more streamlined body.
Penguins are the only obvious exception, as they don't fly but most species lay pointed eggs. They do need to be streamlined to swim, however.
@@finndriver1063 "Egg shape correlates with the ability to fly" seems to be the factor in both explanations. Both body shape and tendency to have nests over ground will correlate with a birds ability to fly. But we can't know for sure what exactly was the evolutionary cause, maybe something else entirely.
This is like math ASMR. I love this so much, with the wonderful soothing storytelling voice and the slow drawing of something mathematically complex. I love it.
Came to the comments looking for an ASMR related comparison
There's NO such thing like those four capitalized letters in the universe (, I assume)! *WHY* to use them‽‽
“@@jaade9485”, *WHAT...‽*
I'm pretty sure the egg shell hardens inside the uterus, not when coming in contact with air...
Met the legend Johnny Ball when I was a kid - I have no memory of it but I do wonder whether he’s the reason I now do what I do…
@Euler Bhaisab He rocks maths
@Euler Bhaisab He has appeared multiple times on the channel already, most recently with "ducks"
@Euler Bhaisab meth
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What makes it satisfying is that the slope is continuous where the arcs meet.
I have so much affection for Johnny Ball. If the man doesn’t have a knighthood, he really should be on the next list.
He's gave more to the country than half of these entitled eejits who get them.
“And I love them both both” - a life well lived
It's always a joy seeing a new video with Prof. Johnny Ball.
I was waiting for Johnny to ask us to "Think of a number"!
He started in many of us a passion for mathematics.
If you want more children to take up STEM subjects you need more Balls, as in Johnny Balls.
Alas, I think he's unique, a one-of.
Thank you JB!
Absolutely love that Numberphile has Johnny Ball on it now. Shaped my childhood, that man.
More Johnny please!
His shows are a solid part of my childhood. The world is a better place with him in it
If you told me a week ago that today I'd be watching a Numberphile video which discussed chicken vaginas, I wouldn't have believed you.
It's not a vagina, hens and cocks got basically the same organ, one hole for everything, a cloaka.
Cloaca. It's the original USB port.
The world is a better place with Johnny Ball.
The Pentagon: "What, am I a yolk to you?"
Only Johnny Ball can talk about something coming out of a bird's arse and make it sound fancy
Johnny Ball is a lovely presenter, thank you for this episode!
40+ years later and I'm still loving watching Johnny. Thank you Brady.
Peacewise. The first derivatives match at the intersections. A beautiful symmetry.
Johnny Ball was a huge part of my life via the TV in the 70's / 80's! I would sit with a glass of milk and a biscuit and watch Johnny Ball on Play Away - Later, on Think of A Number etc. Your Voice carries such nostalgia and reminds me of a time when I was the youngest of my family. Zoe was very lucky to have you as a Dad. I wish you well.
The Pythagorean Cult: HOW CAN IT NOT BE MAGICAL IF YOU CAN DRAW AN EGG WITH IT?!
Love Johnny Ball - haven't seen him for a while, but such a great person to listen to.
That bit about eggs being soft before the air gets at them is just flat false.
@Nacho Rodríguez No, it is an urban myth. In fact, the shell being made is roughly equivalent to someone's water breaking, it is kinda the final signal to go lay. Further evidence is the fact when you dissolve the shell, the membrane that remains is still egg shaped, because the shape gets set internally. If it was naturally spherical (and somehow coated in some wild, rapid precursor to calcium carbonate that somehow works before the egg can travel the 2 cm to the ground, since eggs don't have flat spots) the shell would be holding it in tension that would be removed, returning the egg to a ball.
meanwhile in the demon world, everyone is freaking out while the egg demon laughs at them hysterically with tears running down his cheeks, he mocked them with: "HA... you all didn't believe that I would ever be summoned, but look... after waiting for what felt like an eternity, because my summon ritual is very particular, I am finally called to the realm of the human beings... my time has finally come HAHAHA!!!"
...all thanks to his human summoner, Johnny Ball, for opening the portal between worlds not meant to be linked!!
Has he been on before? I feel like I'd remember this calm soothing voice. In any case, please bring him back as much as he (and you) can allow.
Wonderful video! And I loved that Brady pointed us to a paper where we can find out more!
Thanks for including those honking formulas. I have yet to read that paper. I was going to comment that I highly doubt the true egg shape is a series of perfect circular arcs. Perhaps that shortcut is good enough to approximate it to a visual satisfaction.
I agree, if you pause at 4:39 you will be able to notice the curves are close but not an exact match. We have the technology to 3d laser scan thousands of real eggs to compare them to mathematical models. I also doubt that a physical object will have 1 radius of curvature, and then hit a line where it has half the curvature projected around a rotated axis followed by a spherical endcap.
"What was first: the chicken or the egg?"
"Well, Satan of course."
Phanes Protogonus hatched from the cosmic egg through the serpent..created by chronos. According Orphic Mythology at least, Then Prometheus became the Demiurge
but yea its the same "fallen angel" arc
.probably remixed from hindu and sumerian myhtology
The pentagram was actually a holy symbol. The inverted pentagram is the satanic symbol, as it is a corruption of something holy.
I met Johnny Ball before. He's as amazing as you'd imagine he'd be.
the energy of this man is just out of this world.❤
Genuinely love this episode
🥚 it must be Easter weekend in the UK timezones already to catch @Numberphile dropping this *Eggshell-Lent* geometric construction! 🥚
IMO This should’ve been posted on April Fools Day 😅🤣
So for egg shape we have the geometric approximation presented here and the set of egguations presented in the linked paper. Gotcha. The question is now, which bird lays the most Pythagorean eggs?
This was one of the most incredible videos of numberphile I've ever seen. Very entertaining and educational
What an absolutely delightful man Johnny Ball is. Thank you, Johnny. ❤️🙏🏻🌼🙂🐥
Johnny Ball found and followed his bliss
Are we summoning something?
Yes. Eggs.
Biggie Smalls
*Pentagons are the bestagons!*
*I’d love to see this inside of the Pentagon.* ❤
clearly you haven't watched CGP Grey's video about hexagons. They are the actual bestagons.
@@Pain-dr3hw Hi
Delight to see Johnny Ball. Thanks Brady😀
This guy has the most pleasant speaking voice ever. He should do some voice acting just to make people feel nice.
The only thing that could make my day better than a new Johnny Ball video is finding out we both have the same type of year planner.
Johnny Ball! What a legend! Love this video!
“If I threw it away it’d be a penta- gone but it’s here now” 😂
Johnny Ball.. my childhood hero !!
I would listen to this man read the phone book. His voice, inflections, and random quips are like silk to the ears!!!
Fascinating
Only young chickens who are laying their first eggs will have a soft shell. Those chickens must've not have been getting enough calcium
2:22 “a perfect ball”. Quite right Mr.Ball
What a great narration, great teacher.
Johnny ball never ages.
This is the most genuine, unintentional ASMR.
Jonny great to you see you still in business, you were responsible for showing that maths and science were fun and interesting when I was a little boy. Been doing it ever since, mostly via computers, and have made a fairly major discovery about intelligence based on some pretty esoteric maths. Thanks so much and keep it up! Bless
Thank you. Great Video
Amazing!! Perfect
I love this sm
A work of art
Awsome video!
Thats beautiful
Jonny Ball knows all love it
Great, now I'm hungry!
Thank you!
Awesome! A similar method is used to draw isometric circles.
Eggs from a Pentagram...could see a Conspiracy theory video out of this LOL
This man seems so wholesome!
And I love them both. Great 👍
This is actually really cool!
What a great and wholesome video
A hen is an egg's way of making another egg.
Now I know what I'm teaching next. Thanks!
Lovely video
Wonderful
The Hawker (now BAE) Hawk hanging there in the wall is so beautiful as this geometry explanation
This made me feel good and smile hard! Cheers!😀
This is great fun!
Just an hour ago, I found that a pigeon had laid an egg in the balcony. And now RUclips comes up with this.
Finally, putting this in a language Julia can understand.
To my eye the egg shape is very approximate. Seems like real eggs have more curvature from midline to the "pointy" end.
this dude's voice is mega calming
"Yes , you can draw an egg with a pentagon "
~ Prof Johnny Ball
He is like the David Attenborough of Geometry
How wonderful to see Johnny Ball - I used to watch him on Play School - and isn't he looking young! :)
Amazing
Miss spent childhood with Johnny Ball.. Awe blissful days...
We NEED to persuade Johnny to set up an ASMR channel.
Agreed…listening to him talk about eggs gave me all the tingles. Lol so relaxing to listen too.
Imagine if a permanently running Johnny Ball streaming channel could be set up like it has been for Bob Ross.
It would be amazing for future generations to have that at their fingertips.
And if I ever become a parent, I imagine I’d leave it on a screen running in the nursery hopping he would rub off on my kids.
I do the same, but the centers of the circles that form the sides of the thin end are on the endpoints of the lower semicircle
By step by step
1) Draw a perpendicular bisector crossing point O
2) Draw a circle crossing the horizontal line at points A and B, and the vertical line at point C
3) Construct and extend lines AC and BC
4) Draw two with centers A and B both with radius AB, lines AC and BC at points D and E
4) Draw the top of the egg by drawing an arc with center C and radius CD or CE
This guy's voice is so soothing.
Nice watch!
What a calming voice. Hopefully not too soothing for his students, can't have the whole class falling asleep!
Perfect for Easter
so much interesting
Braidy - "Presumably the hole in the chicken isnt that big"
Tell me you're a mathematician without telling me you're a mathematician...
I grew up with Johnny Ball inspiring a love of mathematics in me ❤️. He still makes it magical.
Great video and great host.