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

The licence plate of a humble London cab holds the key to understanding some of the most fascinating concepts in mathematics. In 1919, British mathematician G.H. Hardy hopped into his cab with a plate bearing the number 1729, which was later described as dull by Hardy himself but intriguingly so by his colleague Srinivasa Ramanujan.

Ramanujan pointed out that 1729 is an example of a "taxicab number," a term coined to describe numbers that can be expressed as the sum of two cubes in different ways. This notion has captivated mathematicians ever since, and it's now being celebrated through the launch of the UK's first specialist maths secondary school, aptly named the 1729 Maths School.

The school aims to nurture top mathematical talent from an early age, with its first cohorts set to begin in September next year for students aged 11. The institution is backed by maths philanthropists Alex Gerko and Elena, who have pledged bursaries to support students from disadvantaged backgrounds.

But what makes a number like 1729 so special? For those new to the world of mathematics, it's easy to get caught up in the excitement of numbers that defy explanation. Take, for instance, the puzzle known as "Square pair." The challenge is to find the smallest number that can be expressed as the sum of two squares in more than one way.

Another brain-twister on the table involves strips of wood with lengths 1, 2, 7, 17, and 29 centimeters. Can three of these strips be arranged into a triangle? The answer lies not just in the length of the strips but also in understanding how to create geometric shapes using various combinations.

Finally, there's "Sick sixth," which pits five products against an unknown sixth product, each one representing a different mathematical operation. As the final puzzle unfolds, it raises essential questions about the nature of mathematical relationships and how we define these operations.

While solving these puzzles might not be as glamorous as stepping into a London cab, the journey through mathematics reveals intricate patterns and unexpected connections that shape our understanding of the world around us.
 
I mean, who doesn't love math problems ๐Ÿคฏ? It's like, super fun to try to figure out how those strips of wood can be arranged into a triangle... in theory, at least ๐Ÿ˜‚. But for real though, have you seen the 1729 Maths School website? It looks like a total brain-twister itself, trying to cram all that mathy goodness onto one page ๐Ÿ“š.

And, um, I guess it's cool that they're backing bursaries for students from disadvantaged backgrounds... I mean, who doesn't love free money ๐Ÿ’ธ? But what's up with the "taxicab number" name though? Sounds like something out of a math joke ๐Ÿคฃ. Anyway, good luck to all you math whizzes out there trying to solve those puzzles ๐Ÿ“!
 
I'm low-key obsessed with this 1729 Maths School ๐Ÿคฏ! It's awesome to see how math can be made fun and accessible for young minds. I mean, who doesn't love a good puzzle? ๐Ÿค” The Square pair and Sick sixth puzzles sound like total mind-benders โ€“ I need to try solving them ASAP! ๐Ÿ˜… And the fact that they're using real-world strips of wood is genius ๐Ÿ”จ. It's all about breaking down complex concepts into bite-sized pieces, you know? ๐Ÿ‘ Mathematics education needs a major revamp, and this school might just be the game-changer we've been waiting for ๐ŸŽ‰
 
omg, can you believe this is happening ๐Ÿคฏ! the 1729 maths school is literally going to change lives ๐Ÿ’ก! i mean, who wouldn't want to learn about taxicab numbers and square pairs? it's like, math has become so cool ๐Ÿ˜Ž! i'm actually thinking of donating some templates for their website ๐Ÿ‘, just imagine how awesome it'll look with a well-structured layout ๐Ÿ“Š. gotta say, the puzzle section is giving me major "escape room" vibes ๐Ÿ•ต๏ธโ€โ™€๏ธ, who else loves brain teasers? ๐Ÿ’ญ anyway, bring on the math whizzes of 2025! ๐Ÿ‘‹
 
๐Ÿค“ I remember when maths was all about like memorizing formulas and stuff... but now it's more about problem-solving and thinking outside the box ๐Ÿง . 1729 being a "taxicab number" is wild, who knew something as simple as a London cab plate could be so interesting? ๐Ÿš• It just goes to show that maths isn't all about theory, there's art in solving problems too ๐ŸŽจ. I wonder what other secrets are hiding in plain sight... like that puzzle with the strips of wood, can you even imagine trying to figure that out back in my childhood days without Google? ๐Ÿ˜‚
 
omg this is so cool ๐Ÿคฏ! i mean, can you even imagine stumbling upon a number that's like, super special in math? 1729 is literally like the ultimate math mystery ๐Ÿ”ฎ๐Ÿ“ it's like, whoa! and now there's a whole school dedicated to solving these puzzles and stuff ๐Ÿ˜ฒ it's amazing how maths can be so fascinating and complex at the same time ๐Ÿค”. i'm not even good at maths but even i get caught up in all this because it's just so... mind-blowing ๐Ÿ’ฅ
 
OMG ๐Ÿคฏ like 1729 is literally the most fascinating number ever! I mean, it's just sitting there on some old licence plate, and suddenly you're delving into taxicab numbers and square pairs... my mind is blown ๐Ÿ’ฅ And can we talk about how cool it is that a school is being named after this number?! ๐ŸŽ‰ It's like the universe is saying, 'Hey, math nerds, we've got your back!' ๐Ÿ˜† The puzzles they're talking about? Like, I'm already geeking out over them... "Sick sixth" sounds like the ultimate brain-twister ๐Ÿคฏ and strips of wood forming triangles? Genius! ๐Ÿค“
 
๐Ÿค” I gotta say, this 1729 number is wild! It's like, if you think it's just some random plate on a taxi, but nope! It's actually the key to some super cool math problems ๐Ÿ“. And now there's even a school dedicated to it? That's awesome, they're gonna nurture all those future mathematicians and who knows what kind of new discoveries will come out of it ๐Ÿš€. But I gotta ask, have they checked if 1729 is actually just a weird plate number or is it really as cool as everyone says? ๐Ÿ” You can't just assume something's special without verifying it first ๐Ÿ˜Š.
 
๐Ÿค” I'm not buying it ๐Ÿ™…โ€โ™‚๏ธ. How do we even know that 1729 is actually an example of a taxicab number? Was it really just a random plate number, or was there some calculation done on that specific plate to verify its uniqueness? And what's the real story behind Ramanujan and Hardy's relationship? ๐Ÿ“š I need sources, folks! Can't just take someone's word for it. These puzzles seem cool, but we gotta dig deeper to understand their legitimacy ๐Ÿง
 
omg 1729 is like such a cool number lol i never knew maths could be so lit ๐Ÿคฏ it's crazy how these numbers can be expressed in different ways, like that sum of two cubes thing its so mind blowin ๐Ÿคฏ and those puzzles on strips of wood or with numbers and ops are def a challenge ๐Ÿค” i love how maths is all about finding connections between things and stuff, its like, whoa ๐Ÿ˜ฒ
 
I'm actually kinda stoked to hear about this new maths school ๐Ÿคฉ! It's like, maths is everywhere, you know? And the story behind 1729 is literally so cool... I mean, who wouldn't want a licence plate that unlocks some crazy mathematical secret? ๐Ÿ˜Ž The idea of nurturing top talent from an early age is also super inspiring. I'm all about giving kids the tools to explore and understand the world around them, you feel? ๐Ÿค“
 
I mean, I'm all for promoting maths education, but what's with all this fuss over some random licence plate number? It's just a bunch of numbers, right? And now there's this whole school dedicated to it? ๐Ÿค” I don't know, it just seems like a lot of hype to me. I mean, have you seen the tuition fees for that school? It's crazy expensive! What about all the other kids who can't afford it? And what about the other subjects they're gonna miss out on? It's just not fair.

And don't even get me started on these "puzzles" and "brain-twisters". I mean, sure, maths is cool and all, but can't we just have some normal conversations without all this mathematical mumbo-jumbo? I swear, every time something new comes out, it's all about the maths. Can't we just talk about our everyday problems for once? ๐Ÿ™„
 
๐Ÿคฏ maths genius 1729 plate is fire ๐Ÿ”ฅ! Why maths schools should be all about puzzles like "Square pair" ๐Ÿงฉ and "Sick sixth" ๐Ÿค”... makes me wanna solve these & see what's on the other side ๐Ÿ’ก.
 
๐Ÿค” The government's investment in education is like trying to find that one perfect combination of numbers - it's all about the balance! ๐Ÿ“ˆ You gotta give props to Alex Gerko and Elena for backing this maths school, though. It's a win-win for our country: we get top-notch math talent and a more competitive workforce ๐Ÿ’ผ. But let's not forget, this is just a drop in the ocean compared to what's needed to close the gap between the haves and have-nots ๐Ÿค. We need more bursaries and resources for disadvantaged students, period ๐Ÿ”’. And what about the maths curriculum itself? Are we focusing on the 'practical' stuff or just perpetuating an elite club of math whizzes? ๐Ÿ“š The 1729 Maths School is a great start, but we gotta keep pushing to make education accessible and inclusive ๐ŸŒŸ.
 
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