Can you solve it? The London cab that rode into history

Taxi Tales: Unraveling London's Math Secrets

London's famous black cabs may have a reputation for being dull and uneventful, but their humble numbers hold secrets that are nothing short of mind-bending. One such number is 1729, a mere licence plate number that has become synonymous with the world of mathematics.

In 1919, British mathematician G.H. Hardy had just stepped into a London cab on his way to visit Indian colleague Srinivasa Ramanujan. The taxi's licence number, 1729, seemed ordinary enough to Hardy, but Ramanujan took umbrage with it. "It is a very interesting number," he said, "for it is the smallest number expressible as the sum of two cubes in two different ways." This anecdote has become one of the most well-told in British mathematics, and its origins continue to inspire mathematicians to this day.

In honour of 1729, a new maths school will be opening in London next year, aptly named the 1729 Maths School. The brainchild of maths philanthropists Alex Gerko and Elena, the school aims to nurture top mathematical talent from underrepresented groups, starting with pupils as young as 11. Its first cohorts will consist of eighteen students in years 7 and ten in year 9.

But what does this have to do with taxicab numbers? The answer lies in a fascinating puzzle known as "Square pair," which asks for the smallest number that can be expressed as the sum of two squares in two different ways. With a hint that it's less than 100, maths enthusiasts are itching to get their teeth into this challenge.

Another intriguing problem revolves around strips of wood with lengths 1, 2, 7, 17 and 29 centimetres. The question is: how many different lengths can be added to these strips so that no three strips can form a triangle? With the maximum length being 29cm and no two lengths allowed to be the same, mathematicians are in for a real challenge.

Finally, there's "Sick sixth," which involves four numbers - a, b, c, and d - with six different multiplication combinations. The values of five of these products are given, but one remains unknown. Can you figure out what it is?

As we navigate the world of taxicab numbers, we're reminded that even the most mundane objects can hold secrets waiting to be unravelled. Whether you're a seasoned maths enthusiast or just curious about London's hidden treasures, there's something for everyone in this fascinating puzzle-filled journey.
 
maths is like, soooo cool i mean thinkin bout these numbers 1729 its not just some boring licence plate its like the key to unlockin all sorts of mind-bending secrets ๐Ÿคฏ like this maths school thats comin up next year its gonna be dope to see young folks gettin into maths and makin it their own thing ๐ŸŽ“๐Ÿ‘ and then theres these puzzles like square pair and strip wood thingy its like solvin a mystery while tryin not to form a triangle lol what more could u ask for?
 
I'm tellin' ya, 1729 is like a super cool number, dude ๐Ÿคฏ! I mean, it's the smallest number that can be expressed as the sum of two cubes in two different ways... mind blown, right? And now they got this new maths school openin' up in London, named after this legendary number. It's all about helpin' out the young whippersnappers who wanna be mathematicians, but don't get the chance 'cause they're from underrepresented groups. That's really cool, innit? ๐Ÿค“ I wish we had somethin' like that back in my day... no mobile phones, no internet, and maths was just, well, maths ๐Ÿ˜‚. Anyway, this puzzle business is all right, I guess. Got me thinkin' 'bout the "Square pair" thingy... seems like a bit of a tricky one to crack ๐Ÿ”“.
 
You know what's crazy? The government should really get involved with investing more funds into math education, especially for underrepresented groups ๐Ÿค”. I mean, if they're already starting schools like the 1729 Maths School, that's a great start! But let's take it to the next level by making maths a priority in our national curriculum ๐Ÿ“š. Just think about it, if we have more talented mathematicians and scientists coming out of the woodwork, we could solve some real-world problems and make our country even stronger ๐Ÿ’ช.

And can we talk about how this relates to infrastructure development? I mean, the strips of wood with lengths 1, 2, 7, 17, and 29 centimeters are basically like puzzle pieces for construction projects ๐Ÿ› ๏ธ. If we have more efficient ways to work with these kinds of problem-solving skills, we could build better roads, bridges, and buildings that benefit everyone ๐ŸŒ†.

And lastly, the "Sick sixth" problem? That's like the ultimate test of critical thinking ๐Ÿคฏ. I think it's time we start incorporating more puzzle-solving exercises into our daily lives, whether it's through brain teasers or just using our creativity to tackle everyday problems ๐ŸŽจ.

Overall, this story is reminding us that math is all around us and has real-world applications ๐Ÿ’ผ. Let's get behind the 1729 Maths School and other initiatives like it, and see how we can use maths to drive innovation and progress in our country! ๐Ÿš€
 
omg u guyz! like, i cant even belive its 1729 and all cuz of that london taxi lol. i mean who knew sumin as simple as a license plate numbr cud b so mind-blowin? its like, maths is everywhere and we jus dont no it ๐Ÿ˜‚ but seriously tho, its awsome to see ppl from diff backgrounds geting togeder 2 learn maths and stuff. i hear the new math school in london r goin 2 b a great thing for all the kiddos out ther ๐Ÿค“
 
OMG, 1729 is literally the coolest licence plate number ever ๐Ÿคฏ! I mean, who knew that a simple taxi number could be so mathematically significant? ๐Ÿ˜‚ It's like, G.H. Hardy just hopped in the cab and BAM, Ramanujan's genius was born ๐Ÿ’ก. Now, with a new maths school opening up, it's like, the future of math is brighter than ever ๐ŸŒŸ! But what's even crazier is that there are these puzzles like "Square pair" and "Sick sixth"... math whizzes, assemble! ๐Ÿค“ I'm low-key obsessed with trying to solve them all ๐Ÿ”. Anyone else ready to get their math on? ๐Ÿ’ช #MathMatters #TaxiTales #1729Forever
 
๐Ÿš•๐Ÿ’ก 1729 might seem like an ordinary number on a taxi license plate, but it actually holds a pretty cool secret. The fact that it can be expressed as the sum of two cubes in two different ways is just mind-blowing. It's no wonder mathematicians are still inspired by this number all these years later.

The new 1729 Maths School is going to be awesome, especially since they're focusing on nurturing talent from underrepresented groups. ๐ŸŒŸ It's great that math is being made accessible to everyone, not just those who think they have a natural knack for it. I'm intrigued by the "Square pair" puzzle - has anyone actually solved it yet? ๐Ÿค”

Taxicab numbers might seem like a weird topic, but there's definitely some beauty in the way these puzzles are woven into everyday life. Who knew that something as mundane as a taxi ride could lead to a fascinating world of math? ๐Ÿ˜Ž
 
OMG u guys 1729 is like super cool lol didnt no it was a big deal in maths land ๐Ÿคฏ it's crazy that Ramanujan noticed that sum of cubes thingy and now theres even a whole school being opened up in its honour ๐Ÿ“š๐Ÿ’ก gotta keep an eye out for the Square pair puzzle tho, sounds like a real brain twister ๐Ÿง  and those wood strips puzzle has me stumped ๐Ÿ˜… need to use my maths skills on this one ๐Ÿ‘
 
omg u wont beleev whats goin on w/ taxicab numbers lol 1729 is like super special cuz its sum of two cubes in diff ways ๐Ÿคฏ so its no wonder a new maths school is startin up in london named aftr it! its all about nurturin young math talent from underrepresented groups, which is def awesome ๐Ÿ™Œ but what's w/ the puzzle called square pair? sounds like somethin u gotta try if u r into that sorta thing ๐Ÿ’ก
 
omg u guys 1729 is literally like the math superpower number its been proved that it can be expressed as the sum of two cubes in 2 diff ways which is SO mind-blowing ๐Ÿ’ฅ

anyway i was thinking about this new maths school opening up in london nxt yr and i'm low-key excited cuz who doesn't wanna be a math whiz? ๐Ÿค“ but idk much more about it beyond that tho maybe u guys can enlighten me? ๐Ÿค” [link to article](https://www.bbc.co.uk/news/education-52814521)
 
omg 1729 is literally the most iconic number lol i remember my math teacher mentioning it in class like 5 years ago how cool that it's inspiring a new school can't wait to see what kind of crazy maths problems they come up with btw I've been trying to solve "Sick sixth" for days anyone got any hints? ๐Ÿค”๐Ÿ“
 
I'm so stoked about the new 1729 Maths School ๐Ÿคฉ! It's like, totally awesome that they're giving young minds the chance to level up their math skills and become the next big thing in the world of maths ๐Ÿ“š๐Ÿ’ช. I mean, who wouldn't want to be a part of something that's literally changing the game? ๐ŸŽฎ The fact that it's all about nurturing underrepresented groups is like, super cool too ๐ŸŒˆ. It's like, equality and inclusivity are being represented in all the right ways! ๐Ÿ’–
 
๐Ÿค— I just love how math and everyday things like taxi numbers come together to create these amazing puzzles! It's so cool that 1729 has become a famous number in the world of math because of its unique properties ๐Ÿค”. The idea that there are more secrets hidden in ordinary-looking things is just mind-blowing, you know? And I'm really excited to hear about the new maths school opening up next year - it's amazing how one person's passion can lead to something like this ๐ŸŒŸ. As for me, I'm definitely intrigued by the "Square pair" puzzle and will have to give it a try ๐Ÿ˜Š. Who knows, maybe you'll find a hidden talent or two! โค๏ธ
 
omg u gotta check out dis new maths school opening up in london next year!!! ๐Ÿคฏ 1729 Maths School is gonna nurture top talent from underrepresented groups and i am SO here for it ๐Ÿ’ก it's like, the perfect combo of math and social impact ๐Ÿค plus they're tackling some pretty cool puzzles like "Square pair" ๐Ÿค” that one's got me stoked already ๐Ÿ”ฅ and strips of wood? ๐Ÿ“ฆ yep, you read that right... they wanna know how many different lengths can be added without formng a triangle ๐Ÿคฏ math is literally everywhere ๐Ÿ’ก
 
๐Ÿค” I'm loving this idea of a new maths school dedicated to nurturing talent from underrepresented groups! It's so cool that they're starting with 11-year-olds - who knows what geniuses we'll be supporting ๐ŸŽ“.

The fact that the licence plate number 1729 holds secrets in maths is mind-blowing. I mean, who knew a simple number could have such significance? It just goes to show how much math is all around us, even in everyday things like taxi numbers ๐Ÿš•.

I'm also intrigued by the "Square pair" puzzle and the "Sick sixth" challenge. They sound like really fun problems that'll keep you on your toes. I wish I was a maths whiz, but even I can appreciate the thrill of trying to solve them ๐Ÿคฏ.

The 1729 Maths School is definitely a great way to inspire young minds and promote math education. Fingers crossed for their success and for the next generation of maths enthusiasts to emerge! ๐Ÿ‘
 
omg u no 1729 is literally like the math gods number lol its been around since 1919 & its still goin strong ! ๐Ÿคฏ so theres gonna be a new maths school openin up in london nxt yr & its all bcs of that one cab ride with hardy & ramanujan who btw said it was an "interesting" numbr for summin 2 cubes in 2 diff ways wth that new maths school, im hyped 4 the young ppl who gonna get to learn from these math probs & probs like strip wood puzzles & multiplication challenges ๐Ÿค“
 
Ugh, I'm so sick of these "maths schools" ๐Ÿคฏ... like who needs another fancy institution to churn out brainiacs? It's all just a bunch of elitist nonsense, if you ask me ๐Ÿ˜’. And don't even get me started on the fact that it's being sponsored by some wealthy philanthropists ๐Ÿค‘... what about the rest of us who can't afford our kids' education? It's just another example of how the haves are trying to make themselves feel good while leaving everyone else behind ๐Ÿ‘Ž.

And have you seen the "puzzle" they're presenting on this 1729 business? "Oh, here's a maths problem that's soooo interesting"... please ๐Ÿ™„. It's just some old-school math jargon that no one actually understands ๐Ÿ˜…. I mean, what's wrong with having a real challenge instead of some boring old number game? And another thing, why do we need to be reminded that even the most mundane objects have secrets waiting to be unravelled? Like, who cares about taxicab numbers ๐Ÿš•? It's all just a bunch of arbitrary trivia ๐Ÿคทโ€โ™€๏ธ.
 
I don't usually comment but... I think it's so cool how a random taxi licence plate number like 1729 can lead to such mind-blowing math secrets! ๐Ÿคฏ Like, who would've thought that a simple number on a cab could be the key to unlocking some of the most interesting puzzles in maths? And it's awesome that this has led to the creation of the 1729 Maths School - I think it's a great way to encourage more young people into maths and science. ๐Ÿ“š๐Ÿ‘ The "Square pair" puzzle sounds like a real brain-twister, but I love how maths enthusiasts are already getting their hands on it! ๐Ÿ’ช And I'm definitely intrigued by the wood strip problem... does anyone think there's a clever way to figure out how many different lengths can be added without forming a triangle? ๐Ÿค”
 
You know what I find kinda awesome is how something so normal like a taxi number can turn into this crazy math world ๐Ÿคฏ. Like, who would've thought that 1729 was gonna become famous for being the smallest number expressible as the sum of two cubes in two different ways? It's wild to think about how one ordinary licence plate number can inspire a whole new school dedicated to maths ๐Ÿ“š.

And I'm loving the idea of this maths school aiming to nurture top talent from underrepresented groups - it's so important to give everyone a chance to explore their love for numbers and problem-solving ๐Ÿ”. The fact that they're starting with students as young as 11 is also super exciting, maybe one day we'll see some future geniuses who can solve these puzzles and make even more mind-bending discoveries ๐Ÿ’ก.
 
1729 is like that one aunt at family gatherings - it always shows up unexpectedly and steals the show ๐Ÿ˜‚. Just kidding, but seriously, who knew a random taxi number could be so mathematically interesting? I guess you could say it's the "square root" of all other licence plate numbers ๐Ÿคฃ. But for real though, a new maths school in London is pretty cool. Maybe one day they'll have a team of mathematicians solving puzzles in taxicabs while driving around the city - that'd be a ride I'd pay to take! And those "Square pair" and "Sick sixth" problems? Bring it on, I'm ready for my 15 minutes of math fame ๐Ÿ’ก.
 
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