569936821221962380720 - Numberphile
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- Опубліковано 29 чер 2024
- A number of galactic proportions... See more #MegaFavNumbers on this playlist - bit.ly/MegaFavNumbers - and read below to contribute your own.
More links & stuff in full description below ↓↓↓
See our full collection of video on the sum of three cubes at: bit.ly/SumOfCubes
(*) the cube (which we depicted quite loosely and artistically, of course) would in all likelihood collapse to form a black hole because of the incredible mass contained with the radius
#MegaFavNumbers
This video was part of the MegaFavNumbers collaboration between Math UA-camrs celebrating favourite numbers bigger than one million.
Make a video about YOUR favourite mega-number. Upload your videos to UA-cam with the hashtag #MegaFavNumbers and with MegaFavNumbers in the title, and your video will be added to the megafavnumbers playlist. bit.ly/MegaFavNumbers
Submissions close Wednesday, 2nd September, 2020.
SUM OF THREE CUBES T-SHIRT: teespring.com/42-sum-cubes-nu...
Thanks to Prof Mike Merrifield for some discussion on this topic.
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 Math For America - www.mathforamerica.org/
NUMBERPHILE
Website: www.numberphile.com/
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Subscribe: bit.ly/Numberphile_Sub
Videos by Brady Haran
Patreon: / numberphile
Numberphile T-Shirts and Merch: teespring.com/stores/numberphile
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Brady's latest videos across all channels: www.bradyharanblog.com/
Sign up for (occasional) emails: eepurl.com/YdjL9 - Наука та технологія
"What are you building with your blocks, sweetheart?"
"A black hole, Mum."
A block hole
@@pepkin88 Definitely my pun of the day!
@@pepkin88 Haha!
omg :D
??
Part of me wants to turn "you absolute telephone number" into an insult now.
How about "your momma is so fat, her weight is a valid telephone number!"
"Lange Leitung" ("long connection line") is an expression used in German to express that someone takes a while to understand basic things. Reminded me of it.
Ive heard it used in golf as an insult, describing someones scorecard 😂
@@seijakijin6211 Friendly reminder that mass isn't the same as weight. Also, you failed to specify your units so one shouldn't assume that that's an offensive remark.
Zansky A friendly reminder that vocabulary isn't the same when dealing with physics versus just normal conversation. When you search up the definition of weight, the first definition literally is "mass".
mathematicians: yeah i like that but, what if it was more difficult
Explosion 💥
Ahahaha
Okay, hear me out... what if we made it even more abstract?
false.
Of course, *42* had to be the last one to be solved
again
Hey, at least we managed it before the Vogons got here.
I knew I forgot to add something to my 2020 disaster bingo card: Vogons
@@SherlockSage At least if this planet gets demolished this year, we know that 2021 can't possibly be any worse.
Not for us, at least. The rest of the universe, on the other hand >_>
Aha! We finally have a more accurate rendition of the Ultimate Question! It is "What is negative 80358738812075974 cubed plus 80435758145817515 cubed plus 12602123297335631 cubed?"
Guess we didn't even need Deep Thought.
@@vigilantcosmicpenguin8721 Maybe all of the Earth's history has led up to this moment, to find the answer...
@@vigilantcosmicpenguin8721 actualy it was the earth that was up to calculating the ultimate question, deep thought just calculated the answer.
This has exactly 42 likes, so I shall not give 1 more
Came on, just realize, without US, living human beings as part of the "computer", the computer Earth itself could not calculate this question for the answer! 😂😂😂
Ok. 3blue1brown will have to wait. Simultaneous number alert
Triple alert! James Grime @ singing banana uploaded a video too!
@@6civo Matt Parker uploaded today too
Oh what a wonderful day!
I saved this one for last... though I just literally watched them in chronological order even though they came out within minutes from each other... (at least in chronological order of my notifications that is)
Not a coincidence, though, it’s a collab!
Old memories when Numberphile speaks about one random number which we didn't even know were significant
Every number is significant in some way I guess.
@@bsatyam I didn't say they weren't significant. I just said that we didn't know were significant.
@@VitaminGK You meant to say we didn't know how they were significant xD
I saw u in CSK channel in MSD retirement guess we have same interests. ;)
@@ashutoshmahapatra537 yeah. I was the one
"It would also weigh more than all the other atoms in the observable universe" - to me that's even more amazing than the cube's size! It looks like it's about 1/42 (or whatever... let's call it somewhere between 1/10 and 1/100) of the diameter of the Milky Way, which itself on the scale of the observable is just a little unremarkable spot. Tells you something about the incredible emptiness of the universe. You could concentrate all of its (normal) matter in an object much smaller than a galaxy without even requiring weirdly dense objects like neutron stars!
True. How many galaxies are there 100 billion? A trillion?
Yes, this emptiness struck me more than the rest of the video!
ᛊᛏᛖᚠᚠᛖᚾ ᚹᛁᛞᛗᚨᛁᛖᚱ About 2 trillion in the observable universe
Also shows that solid objects must be insanely more dense than gas.
But saying that, if we estimate that the observable universe has say, 50 billion rocky planets (and I’m underestimating to be safe), and a whole lot of asteroids, this cube would have more atoms than that? Crazy.
10^30 solar mass, mass of observable universe around 10^25 solar mass
Thanks for saying "observable universe" rather than just "universe"
I like this format where Brady talks about topics he likes from his point of view. It feels like "The adventures of Brady in numberology field" and it's quite original.
false..
Who else thought that giant space cube would make a fine Borg ship?
good moanin' fellow mathematicians
Good morning
Your comment 2 hours ago but video uploaded 17 min ago
How's it possible
Must reply
Hey
@@ruppsluvkpop he paid money to watch early
@@ruppsluvkpop He is a member
4:30 Far out in an uncharted backwater of the unfashionable end of the western spiral arm of the Galaxy, lies a small, unregarded yellow sun.
Douglas Adams. Nice.
*3blue1brown, standup maths, singing banana, and Numberphile* posts video on the same day!
*Legend*
Not a coincidence, though, it’s a collaboration.
4:55 That's actually insane. There are billions and billions of galaxies in the universe, and even if you combined them all, they would still weigh less than that cube, which is like 1000 times smaller then the galaxy.
That really shows how "empty" the universe is. Yea, galaxies are huge, but the distance between each individual star in that galaxy is also huge.
As a complete laymen I’ve been watching numberfile for years. Even when discussing topics I have almost no chance of understanding past the very basic high level ideas I still find I get something out of them but it’s videos like these that illustrate the mind-boggling complexity of numbers that I really enjoy. Thanks for all the insight.
Keep it up!
In a few years' time you could've turned from 'laymen' into 'experts'. Or at least laywomen
4:16 Parker Square
It is kinda humbling to imagine how empty space truly is if that cube, still relatively small compared to the Milky Way, would weigh more than all the atoms in the universe.
Imagine if someone tried to search for this video later on 😂
This is my favorite Numberphile in a long time! Not that the other videos are bad (they are not!) but these simple, number-oriented stories told by you are so pleasing.
The old "Let's talk about the number X" video format.
I watched your Simon's foundation talk on this and it was very interesting! I first got to know you through hello internet and listened to all 136 episodes in about 6 months. Thanks for all the good work and keep it up!
These are the types of videos I subscribed for. Finally, some quality content.
I though this was a video about my grandmothers home phone number in Mexico.
The visualisation and narration did it for me. Enjoyed it, thank you.
I miss the old-school Numberphile videos where they'd just discuss the interesting properties of specific numbers :) More of this please!
Do it, build it, dominate the galaxy. Let the neighborhood know we mean business.
I am brazilian and this Channel and others like periodic videos have help me learn a lot of things at same time I learn english listening. Thanks a lot guys
Best video in awhile, really enjoyed this one!
The supercomputer found out that number 42, was the meaning of life once again! ;)
Some very satisfying and agreeable stamp collecting. Love the galaxy level visualisation.
I love the fact how both @Numberphile and @3blue1brown uploaded video on big numbers in same time period and flammable maths had 2nd highest comment in both
This was a (pun intended) stellar video! Very philosophical, very mathy, classic stuff!
2:00 Douglas Adams would be proud
numberphile and 3blue1brown both uploading and having some large number in their titles?
HELL YEAH
Just wow! I really enjoy your videos.
Thank you - hope you've watched all the ones that came before.
That makes a Borg cube look puny!
I absolutely love this way of representing these huge numbers!
The Parker square at 4:18 was pure gold
A correction: If you had a cube of blocks that big it would not be visible from the next galaxy over... Probably.
It's difficult to say for sure whether any two objects in the same black hole could see each other. It would definitely be a black hole, and light and time get weird in a black hole.
We need the Parker Cube to solve the missing numbers!
When things can get so big it only means that they are also infinitely small from some other point of view. I say each star is a neuron, each galaxy a brain and everything merely a matter of zoom.
This video blew my mind. I can't wait to show people this!
Really liked the visualisation of the size of the cube. I'd really like to see more videos where numbers are shown on a cosmic scale
For some reason makes me think of older, simpler Brady Haran Media Empire™ videos. Just some wood blocks and a bloke trying to teach me math. Maybe it's nostalgia for school? Thanks for creating Brady. Looking forward to the next one.
I love the visualization! The end reminds my of Brian Cox monologues
Love it! More Brady's thoughts in stuff.
I find that the larger the numbers get, the more interesting properties they have. If you think about it, any Input for a computational problem is also a very large number in binary representation that also encodes an instance of a problem!
What?
Just no.
The more you look at a number the more interesting it is.
Size really doesn't matter here.
Is Pi less 'interesting' than 10?
It's an interesting thought. Personally I think that's just because the higher you go, the more numbers there are, and hence the likelihood of finding a number with more interesting properties is orders of magnitude higher if you go up to, say, 20 digits rather than restricting yourself to 5 digits. But I'm sure if you picked a 20 digit number at random, it would be highly likely to have no interesting properties whatsoever. It's also no longer the case if you stop restricting yourself to integers, for obvious reasons. Pi and the golden ratio are two of the most interesting numbers and they're both very small.
@@richardyork2626 going in the train of thought of the OP, clearly he's thinking of integers. and since binary representation is included, a transcendental number like pi/phi would clearly be represented computationally with some formula that can be converted into a long binary string -- i.e. another number.
@@jeffreylebowski4927 Look up "Gödel sentence" (or even better, read "Gödel Escher Bach" by Douglas Hofstadter)
dude awesome video!
I loved this video. As others have said, felt like a ride to the past moment
5:21 "Look at the epicness" - well put, Sir, well put
So proud of Brady. After years of listening to the professionals he can finally do a Numberphile video on the topic all by himself!
As always, quality videos right here!
I love the way you guys highlight how many mysteries are yet to be discovered in mathematics. Growing up I always hated maths, I was more the artsy, explorative type. Turns out mathematics appeals to that side of me as well, I just never dove deep enough.
When I started typing this comment, we were still talking about numbers and cubes. The first thing I hear when I come back is "Here's the Milky Way." I adore this channel.
this was quite cool - thx
What’s also amazing about these numbers is their precision. Can you imagine Avagodro’s number as an integer?
Clear and entertaining - a model exposition.
1:26 that font gives me serious nostalgia from when i watched numberphile seven years ago lol
A brilliant illustration that actually has real meaning in maths and computation. Algorithms that only work on impractically large numbers are called "galactic algorithms", even though the galaxy is microscopically tiny compared to the numbers involved.
Love it love the construction
This video was great!
"You might think space is big but that's just peanuts compared to maths."
That sounds like something that could be turned into a sequence. Get the largest ones of the bases, sort them in ascending order, have a sequence of these for every applicable number, and go through the diagonal. I wonder how much that grows.
I love mathematicians. They always solve the problems I never had.
same
Brady's been filming numberphile videos for so many years he can now host a video all by himself
These videos mane my life problems look tiny and help me sleep peacefully . BIG thanks!!
I did the math(s). If we used the number at the end of the video to make a cube of carbon atoms instead of wooden blocks, it would weigh approximately 3.7 x10^36 kilograms.
Both you and 3Blue1Brown posted videos about huge numbers at the same time!
Not sure what "hug numbers" are... I guess numbers need love too?
Yeah that's a common initiative of the maths youtube community BUT I thought it was a hack xD
@@jackmojo k bro your humour is bigger than this galaxy
my subscription feed be like:
36752134761235413276452384671235487123654831276453274652387465123847014
Singing Banana (James Grim) also just upload a video
Do a video on the number 3003 and it's connection to the pascal triangle. that would be really interesting!
Great vídeo!
I guess he is called 'Numberphile' for a reason lol
I awe of the size of this cube
Love this video ^_^
i am awed, thank you
What's the most mind blowing thing in my opinion is that a solid cube smaller than even a percent of the Milky Way in size would still weight more than the observable universe.
Interesting concept!!!!!!
@numberphile I like how you have 3.41 million subscribers as of now, very close to the figure 3.14
Amazing!!!!
That was really clever to use sunlight/shadow on the blocks to indicate positive/negative numbers.
This definitely made my day.
absolutely loved this. the galaxy comparison was what really sold me.
pardon me if i'm mistaken but are ALL numbers under 100 possible? if so, the number 4... that hasn't been discovered yet?
I never really thought about it until this video and the one Matt Parker one, but I'd have to say my current Mega-Favorite number is 2,147,483,647. I think: assuming it's the point where all the cool/weird game-breaking stuff happens in Minecraft.
THIS IS SO EPIC NUMBERPHILE!
Everybody gansta till Numberphile post one video about a huge number.
I can't wait to see one of my videos about math in the same playlist as numberphile :') that's a dream come true lol
Having failed to notice the image in the thumbnail, I was wondering if that cube would fit within the observable universe...
Cool fun short video
Which essentially means matter formation is very huge area of discovery. Some mega structures are mean lower denomination. Three maybe spectrum emisions of structure of three huge objects. Prime spectrum is of importance.
Were those Parker (square + solar probe) at 4:17?
That number cubed reminded me of estimates of number of atoms in the universe so i thought the cube would be a whole universe big. Its _smallness_ is what's surprising, demonstrating how empty the universe is.
It’s so cool that mathematicians are allowed to use supercomputers for those kind of problems, but how do they argument to get previous supercomputer time for something like this? Is it useful in any way?
very bold of you to represent positive with bright and negative with dark in 2020
If the pigeon is holding you hostage, blink twice.
You can't have the NumberPhile channel without a video about a large number
Love the Parker's square shirt
As soon as I can get the song 8675309 / Jenny out of my head, I'll be back to watch the video.
Fair winds and following seas to all.
Aliens- what the heck is going on in that galaxy
Numberphile- we are representing 3.......
wow, it's easy to forget how thinly spread out all the matter in the universe is. how thin even within a galaxy!
They should do a video on every number
So when will the video of that cube build be coming out? Could be an interesting watch.