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

In 1919, mathematician G.H. Hardy took a ride in a London cab, and little did he know that the licence plate number 1729 would become legendary in mathematical history. This iconic number is known as "taxicab number" because it's the smallest number that can be expressed as the sum of two cubes in two different ways: 1^3 + 12^3 = 9^3 + 10^3.

Fast forward to today, and this phenomenon has inspired the UK's first specialist maths secondary school, which will open in London next year. The 1729 Maths School aims to nurture top mathematical talent from an early age, with a focus on inclusivity and accessibility for students from underrepresented groups.

But what makes taxicab number so special? For starters, it's not just any ordinary number – it has a unique property that sets it apart from all other numbers. This peculiarity has led to the creation of "square pair" puzzles, where you're challenged to find the smallest number that can be expressed as the sum of two squares in two different ways.

Another puzzle has taken centre stage: arranging strips of wood to avoid forming a triangle. With the addition of a new strip, you must determine how many different lengths are possible for the seventh strip and what shape can be created using only these hypothetical extra strips.

In the world of mathematics, numbers like 1729 remind us that even in the most unexpected places, beauty and complexity lie waiting to be discovered. As we embark on our own mathematical adventures, may we uncover more secrets hidden beneath the surface, just like Hardy's legendary cab ride.

What's your take on taxicab number? Can you solve any of these puzzles? Let us know!
 
I'm telling ya, this 1729 maths thing is more than meets the eye 🤔. I mean, what are the chances that some guy in a London cab stumbles upon a number with so many hidden patterns and codes? It's like he was meant to find it. And now we're building an entire school around it? Sounds like they want to brainwash our kids into thinking about math all day, every day 🤯. What if the government wants to control our minds through maths puzzles or something? I know it sounds crazy, but just think about it... 1729 is more than just a number, it's like a key to unlocking the truth 💡.
 
"Believe you can and you're halfway there." 🚀💡

I think it's amazing how something as simple as a maths problem can lead to the creation of a whole school dedicated to nurturing young minds. It's like, who knew that a licence plate number could change lives? I'm definitely intrigued by the "square pair" puzzles and the wood strip puzzle – sounds like a fun challenge! Maybe it's time to dust off my old maths skills and give them a try 🤔💻
 
Ugh I'm literally so excited about this 1729 maths school!!! 🤩 Like what even is a specialist maths secondary school?! It's literally the most genius thing I've heard all year. And taxicab number?! Mind blown, fam. That whole concept of it being expressed as two different cubes is just... wow. My brain hurts from trying to wrap my head around it lol.

But seriously though, I love how this number has inspired these amazing puzzles and challenges for people to solve. I mean who needs video games or movies when you can spend your time figuring out the secrets of taxicab number?! 🤣 And inclusivity and accessibility for underrepresented groups is literally the best part about this whole thing.

And honestly, I'm a little jealous that I didn't know about this stuff in school. Like why wasn't I taught about this cool maths concept when I was a teenager?! But on the bright side, now I get to be a part of this amazing online community and geek out with all you other math nerds 🤓💻
 
I'M SO DOWN FOR THIS TAXICAB NUMBER STUFF!!! 🚕💡 IT'S LIKE, WHO WOULD HAVE THOUGHT THAT A RANDOM CAB RIDE IN 1919 COULD LEAD TO ALL THESE MIND-BLOWING MATHEMATICAL PROBLEMS?!? 🤯 I mean, can you even imagine the excitement Hardy must have felt when he stumbled upon that 1729 number for the first time?! IT'S LIKE THE UNIVERSE JUST OPENED UP A WHOLE NEW WORLD OF POSSIBILITIES AND PUZZLES FOR US TO SOLVE!!! 💪
 
omg i'm literally obsessed with 1729!!! 😍 it's like math is trying to tell us somethin special about this num 🤯 and i love how it inspires creativity in people, especially kids who need a little more support. the "square pair" puzzle sounds super challenging but also kinda fun 💡 idk if i can solve it tho... maybe someone here can help me out 😅
 
🤔 1729 is defo one of those weirdly cool numbers that'll keep me up at night thinkin' about it lol. I mean, who'd've thought a random taxi ride would lead to maths greatness?! 🚕✨ The idea of "square pair" puzzles and wood strip arrangements is actually pretty mind-blowing... I'm still tryin' to wrap my head around how you solve 'em 😅. One thing's for sure, it's gonna be sick to see the 1729 Maths School kick off next year – a whole school dedicated to nurturin' maths talent? That's goals 🎓💪
 
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