The Ultimate Egg-quation - Numberphile

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We speak to Val Narushin in Ukraine - co-author of a paper into the universal equation for the shape of an egg.
More links & stuff in full description below ↓↓↓
This video was posted as additional footage to a Numberphile video about the shape of eggs: • Drawing an Egg (with a...
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
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Опубликовано:

15 апр 2022

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Комментарии : 82

@TeslaFactory 2 года назад

"I apologise if my English isn't the best" then begins to discuss mathematics using technical vocabulary... A testament to the intellect of those who speak many languages xD Amazing work

@matiasvf2520 2 года назад

May not be the best but it sure is darn close

@ragir 2 года назад

"I like egg shapes" is probably the most mathematical explanation of why someone is passionate about the subject I have ever heard. I'm not really passionate about the shape, never given it a lot of thought, but I can easily see how someone can be enamored by it, for no more sophisticated reason than "I just like the shape". Might seem like a silly thing to be passionate about, for sure, but if you are - you are. And chasing that passion is so cool to see, no matter how small or "silly" it seems from the outside.

@ilkolaplya 2 года назад

thank you, Brady, for looking into Ukrainian mathematicians! Things are hard here, but all subscribers from Ukraine are waiting for new videos!)

@flilium2086 2 года назад

Bring egg doctor back Brady. We need his perfect explanations about eggs. My work needs to have non-shifting ball bearing valves fitted in high pressure/load nozzles that can stand solid bombardment from sand and silica. Watersandblasting. And we are trying to incorporate egg shaped valves and shutoffs in our machines. He’s equations have helped much but his explanation had helped even more. Thank you Brady for your work here also. Keep it up, proud of you

@BenTajer89 2 года назад

eggsplanation...

@christophermclaughlin8899 2 года назад

Agreeing to do a video interview while his nation is being invaded by violent thugs, under threat of possible bombings, but takes the time to apologize for his English (which was very good)…what an amazing person. Well done, sir. Stay safe. ✌️ ❤️ 🥚 🇺🇦

@chitlitlah 2 года назад

"What's going on over there? It sounds dangerous." "That's just the Russians bombing the area. Don't worry about that though, let's talk about math."

@chriswebster24 2 года назад

They aren’t violent thugs. They are following the commands of their leaders, and fighting for their country. You’d be doing the same thing if you and your family lived in Russia, and you had no other choice. The war isn’t nearly as simple as you seem to think it is. You should educate yourself on the subject, or, better yet, stop talking about it. There are plenty of places to discuss politics and war, if that’s what you want to do, but this video is about mathematics, and eggs, you weenie.

@TheFreeBro Год назад

@@chriswebster24 r/iamverysmart

@chudleyflusher7132 2 года назад

“I like eggs.” Enough said.

@MattMooreUK 2 года назад

Would have been better if you’d put “Un oeuf said”

@dylanparker130 2 года назад

Loved this video - my favourite moment was hearing Nashurin call eggs "thin-walled vessels"! Yep, he's an engineer, all right!

@victork8708 2 года назад

Друг. Я из россии, мне стыдно за страну. Держитесь там, с любовью и покоянием!

@Iris_and_or_George 2 года назад

I love it when non native English speakers genuinely apologise for their English and then start speaking English, using better grammar than many native speakers I know!

@SillyMakesVids 2 года назад

"Only 4 parameters? Child's play!" --potato engineer, probably

@culwin 2 года назад

me: farmer this guy: poultry engineer

@KoenKlaren 2 года назад

Lovely interview and interviewee (particularly considering the circumstances). Also, his joke about concave dinosaur eggs was pretty funny!

@frankharr9466 2 года назад

I missed the joke. Drat.

@JSLing-vv5go 2 года назад

This guy fucking loves eggs. Always great to hear from someone like that.

@sitearm 2 года назад

he had me at "thin-walled vessels"

@spoonfuloftactic 2 года назад

I feel like the natural inputs for an egg are these 4 parameters: volume, maximum breadth of opening, ratio of pressure to opening strength, and rate at which the shell chemically solidifies. You can reduce it to a "unit egg" by using 1:1 for some ratio of the volume to pressure, which can reduce the number of parameters to 3.

@aL3891_ 2 года назад

I have a colleague in Ukraine and he's also like "sure i can work, no problem! They're not bombing that close to here" top guy, but we're worried for his safety every day :/

@MrMctastics 2 года назад

The complexity here reminds me of the complexity of the quadratic roots formula. Maybe there is no general equation for the fifth type of egg just like there is no general equation for the quintic

@MrMctastics 2 года назад

@@PeppoMusic I mean only 4 types or eggs that exist in nature. That doesn’t mean there’s only 4 types of eggs

@anthonyhalliday7393 2 года назад

@@PeppoMusic soft shelled tend to roll with it

@stephensheppard 2 года назад

Great video! Thanks for doing this. It is wonderful to see Val's enthusiasm and scientific focus in a difficult situation. Really inspiring.

@ernestoyepez5103 2 года назад

Great Video, all my best thoughts to the Ukranian peaople

@thargy 2 года назад

This is such a vital video Brady. Putin calls this man a nazi, but you humanize him and remind us all what’s at stake. We can too easily become immune to pictures of dead bodies on the streets, when we need to be constantly reminded of the rich lives and infinite potential that are lost.

@Kargoneth 2 года назад

The Azov battalion are neo-nazis, quite literally. This does not mean that all Ukranians are neo-nazis. Neo-nazis exist in a tremendous number of different countries. This does not mean that those countries themselves, or the entirety of their citizenry, are neo-nazis.

@unvergebeneid 2 года назад

Really fascinating work. This exemplifies a tiny fraction of what a waste this senseless war of aggression from Russia is! Glory to Ukraine! 🇺🇦

@peepoclown1 2 года назад

🙄 Parroting the narrative of Western news-media, I doubt you grasp the geopolitical realities of the day-what the situation in Ukraine has to do with it. Demilitarization of Ukraine, in addition to perhaps other measures, are the only aversion of catastrophic (and potentially nuclear) conflict. The Russian Federation is unremarkable, but the disastrous arrogance of NATO policy over the last 30 years has done more to bring an end to Kekkonenian peace than anything for which the East is to blame.

@unvergebeneid 2 года назад

@@peepoclown1 sure Because Nato invaded Ukraine and not Russia.

@peepoclown1 2 года назад

@@unvergebeneid What analytical genius. 🤦

@MrMctastics 2 года назад

I love this video. Ja I was a poultry engineer and I love the shape of eggs

@Kargoneth 2 года назад

Thanks for the video, Brady, and thanks for the interview, Val Narushin.

@recklessroges 2 года назад

Wonderful. Reminds me of Quaternions having to go to higher dimensions. I expect that most of the "cool" equations have already been found and from here on they are just going to get larger.

@yudianimations 2 года назад

Now that, is a man who loves eggs

@Iris_and_or_George 2 года назад

Maybe the whole study started with a misunderstanding, somebody said something like: "within this formula determine X" and someone else heard "determine eggs" 😂🤣

@eydeet914 2 года назад

omg I love the idea xD And in the end both people were too insecure to point out that studying eggs is not what they meant and now they have to sell it and then everybody comes to work next day and they start measuring eggs very carefully xD

@Iris_and_or_George 2 года назад

@@eydeet914 exactly!........ meh.... I'm sorry but.... eggsactly!

@toxicara 2 года назад

Thank you Val & Brady, I truly hope we can all get back to a safe & normal world soon

@otakuribo 2 года назад

Please post this on the main Numberphile channel - this is way too good to get ignored by the algorithm. 🥚🇺🇦

@SaveSoilSaveSoil 2 года назад

God bless this kind person!

@SunnyTheGentleFox 2 года назад

This is fascinating. The equation certainly has its warts, similar to the standard model. I wonder... are the shape of the eggs tied to different biological lineages of bird species?

@Xayuap 2 года назад

you are a good host

@billr3053 2 года назад

I'm wondering whether those formulae are based on how the physics works - pressure, spherical inviolable volume, continual shell hardening, etc. Are the formulae in effect based on differential equations - from the acceleration, varying diameters over time - all stemming from measurable forces. I'm afraid my math skills aren't up to the task. I would just like to be assured that they have modelled the true egg shape from underlying principles rather than some visual "niceties" that happen to look right.

@MushookieMan 2 года назад

No, it's more accurately described as a curve fit. A catenary or an ellipse can be approximated by a parabola. So are they paraboloids?

@sumitpatil9932 2 года назад

Why not use bezier curves or b-splines? Just curious if there's a reason for seeking a perfect analytical formula...

@Goheeca 2 года назад

A cubic Bézier segment modulo translation/rotation/scale (i.e. you can fix P_0 and P_3) already has 4 degrees of freedom (P_1, P_2 both with two coordinates) and I don't think you can model all half-outlines of eggs with only one cubic Bézier segment. And B-splines are piecewise polynomial functions you will need a high order to approximate various square roots in the egg shape formula.

@Simon-hy2fh 2 года назад

Funny guy, I like him.

@danielmilyutin9914 2 года назад

5th parameter will be needed for black swan's egg. I can't help but think that "pointy" part in egg shape is evolved for easier "relief" of the bird. 😁 I wonder if one could start from modifying ellipse equation: sum of distances from two points are equal to constant. We can (1) add weight to one distance, (2) change distance as functions (ex, use l_p norm on one of them). P.S. I'm sorry for what Russia is doing to Ukraine. 😢

@icebluscorpion 4 месяца назад

You clearly forgot the parameter o a very elongated egg and the water drop one 12:53

@frankharr9466 2 года назад

Oh, how appropriate for Eastertime is that. He needs to look at some dinosaur eggs. Oh, he had a dinosaur joke. I missed it. Drat. I wonder if that four-variable equsion can be made to give a sphere. Yeah, things are tense. I hope things are going well for him.

@garret1930 2 года назад

It can represent spheres, the equation collapses back down to the equation for a sphere when you set w=0, L=B, and D(1/4)= L/sqrt(3)

@frankharr9466 2 года назад

@@garret1930 YES! I love it when things do that. Thank you.

@vinaloi41 2 года назад

the man done said the eggs achieved their final form

@Yezpahr Год назад

🥚-> 🐣-> 🐤-> 🐔= 🍗 + 🌶 🥚= 🍳+🧂 The perfect eggquations.

@fopdoodler9427 2 года назад

That building at the left side around 12:30 doesn't look like an egg...

@jimmyfitz-etc7031 2 года назад

i watched the name of this video change

@TomasGradin 2 года назад

Oh and this should be easier in polar coordinates 🤔

@luisfernando-mm3jt 2 года назад

Pray for you

@millamulisha 2 года назад

Eggspert 😉

@robbowman8770 2 года назад

🇺🇦 🥚 ❤️

@parkie8167 2 года назад

Swag

@TomasGradin 2 года назад

I fully expect an IgNobel here.

@kieronparr3403 2 года назад

I don't like eggs but I dislike Russians more

@ricardo.mazeto 2 года назад

Dude could just have used a cubic bezier. Just saying.

@EebstertheGreat 2 года назад

Dude could have made it piecewise-linear too, with fifty pieces. That wouldn't make it right.

@honsthebronze 2 года назад

Genius man but he laughed a lot

@2404charles 2 года назад

The big formula has a missing parenthesis

@petterivirtanen8652 2 года назад

No, it doesn't. If you believe so, would you care to explain where that missing parenthesis should be?

@evanrosenlieb8819 2 года назад

slava Ukraini

@hankvandenakker4271 2 года назад

TO ALL FREEDOM LOVING UKRAINIANS: KEEP STRONG, STAY SAFE AND GAIN YOUR PEACE ASAP. THE WORLD ADMIRES YOUR STRENGTH AND CHEERS ON YOUR VICTORIES. JUST AS WE'RE DISGUSTED BY RUSSIA'S ACTIONS AND CELEBRATE EACH DEFEAT THEY SUFFER. I AM PROUD OF THE BIT OF UKRAINIAN BLOOD I HAVE THROUGH MY MATERNAL GRANDFATHER. I WISH I WERE A YOUNGER MAN THAT COULD HELP. I HOPE PEACE AND THE CRIMEA SHALL BE YOURS SOON.

@gregb869 2 года назад

Slava Ukraini

@robbowman8770 2 года назад

🇺🇦🥚❤️

@chriswebster24 2 года назад

Is there a way to translate this to English? I couldn’t understand anything he said.

@AlexCFaulkner 2 года назад

Try using closed captions. It already is in English.

@likebot. 2 года назад

I had a feeling this would a collab with someone in The Borderlands. Heroyam Slava

@DukeJohnsonTheDuke 2 года назад

I have been waiting so for this video Brady since the paper was published. Thank you! 🔢❤️

@DukeJohnsonTheDuke 2 года назад

And much love to Val Narushin and Ukraine! Thank you for all your work and taking the time to solve this problem; it means more to me than I could hope to explain! 🇺🇦❤️🇺🇦❤️🇺🇦❤️