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

The London cab that rode into history is none other than the humble number 1729. According to British mathematician G.H. Hardy, who encountered Ramanujan in a cab, this number has made its mark on mathematics as it's the smallest number expressible as the sum of two cubes in two different ways.

In simple terms, if you try to find another combination for 1729 by adding two cubes together, there aren't any. For instance, 1^3 + 12^3 equals 1729, but no other pair can produce this result. This curiosity sparked a new area of study in mathematics - taxicab numbers.

Now, let's move on to today's puzzles loosely based on 1729. The first challenge is the "Square Pair" - find the smallest number that can be expressed as the sum of two squares in more than one way. Interestingly, this puzzle has an answer less than 100.

The next challenge, "Strip Tease", presents a wooden strip problem where adding another piece won't allow us to form any triangles using three strips. Instead, we need to figure out possible lengths for the seventh strip. This will require some clever thinking and attention to detail.

Lastly, there's the "Sick Sixth" puzzle - with four numbers at our disposal, we can create six different products from combining two of these numbers together. However, the values of five of these products are known already, so we need to work out the value of the sixth product without giving away too much information.

Lastly, news comes that London is set to welcome its first specialist maths secondary school, 1729 Maths School, which will cater to students from age 11. The school's founders aim to foster math enthusiasts and provide a nurturing environment for those with exceptional mathematical abilities.

OMG, can you even believe the significance of the number 1729?! I mean, who knew that a humble London cab ride would lead to a breakthrough in maths? It's like, this number has opened doors to an entire new area of study - taxicab numbers! And now there are schools popping up all over the place to nurture those math whizzes . I'm loving the enthusiasm around this new school, 1729 Maths School! They're aiming to foster a community of math enthusiasts and provide support for students with exceptional abilities... sounds like a total game-changer . Can't wait to see what kind of innovative minds come out of it!

OMG I cant even believe that there's a whole new area of math study just because of the number 1729!!! It's crazy how something so simple can lead to such cool stuff like taxicab numbers I'm definitely gonna have to check out this "Square Pair" challenge, sounds like it could be a real brain twister And yaaas for the new maths school in London, that's so awesome I mean who wouldn't want to go to a school that's all about fostering math geniuses?

1729, huh? Just another example of how some people are just naturally talented at stuff. I mean, what are the chances that Hardy runs into Ramanujan in a cab and they stumble upon this crazy number? And now there's this whole new field of study dedicated to it... sounds like a bunch of nerds running around, thinking they're geniuses.

And then you got these puzzles, right? "Square Pair" sounds like just another way to waste time if you ask me. I mean, what's so interesting about finding numbers that can be expressed as the sum of two squares? And don't even get me started on the wooden strip problem... who thought this was a good idea for a puzzle?

But hey, at least there's some money to be made off these puzzles. I mean, people are willing to pay for that stuff. And now there's even a new school dedicated to math enthusiasts... because what the world really needs is more expensive schools for rich kids who already have an advantage.

omg this number 1729 is like woah ! I was reading about it online and I'm trying to wrap my head around it...

So basically, there are only two ways to express 1729 as the sum of two cubes, which makes it super special in math land . Now, they're coming up with these puzzles based on that number and I'm intrigued .

I'm thinking about this "Square Pair" puzzle and how it's like trying to solve a maze... where you need to find the right path to get to the solution. And then there's the "Strip Tease" problem, which sounds super tricky . I need to think outside the box (or in this case, the strip) .

Lastly, I'm curious about the new math school opening up in London - 1729 Maths School . It's awesome that they're catering to students with exceptional math skills and providing a supportive environment for them to grow .

OMG, can you believe the number 1729 is like, THE most legendary number ever ? I mean, who knew it could be expressed as the sum of two cubes in two different ways? Mind blown!

And now they're creating puzzles based on this number... like a math scavenger hunt ! The "Square Pair" puzzle has me stumped - I need to find that smallest number with multiple square combinations under 100. Good luck to whoever solves it first!

The "Strip Tease" problem is so cleverly designed, though. It's not just about adding pieces, but also about thinking outside the box (or strip, in this case). And I love the idea of having a specialist maths school - the 1729 Maths School sounds like an awesome place to hone those math skills ! Can't wait to see what other amazing things they come up with.

I mean, can you even believe it? A number that's literally the sum of two cubes in more than one way?! It's like, mind blown, right?! And now they're creating an entire school around it?! 1729 Maths School, what a genius name! I'm genuinely excited for all these math whizzes to have a platform to flourish. But seriously, the "Square Pair" puzzle has got me stumped - how do you find that smallest number under 100? And what's up with the "Strip Tease" and "Sick Sixth" puzzles... sounds like a real brain-twister . Can't wait to see the solution!

Can't believe they're making a whole school out of a random number... I guess if it sparks curiosity in kids about numbers, that's pretty cool . 1729 as a taxicab number is actually kinda mind-blowing - who knew math could be so interesting? But seriously, the 'Square Pair' puzzle sounds like a decent brain-twister. Don't think I'll try to solve it anytime soon though... my brain's still trying to wrap itself around that cube thing .

what's the point of creating a whole new area of study just 'cause one number can be expressed in two ways? feels like we're more focused on solving puzzles than applying math in real life

Can you believe it? A humble number like 1729 has made such an impact on maths! It's wild to think that this tiny number in a London cab has led to the creation of taxicab numbers and all these cool puzzles . I love how maths is used as inspiration for puzzles now - it's like solving a treasure hunt with math problems . And yay for the new maths school! It's awesome that they're supporting talented young minds who want to dive deeper into maths . I think this is all just super cool, and I'm excited to see what other hidden gems of maths come out of this number .

This number 1729 is like the ultimate unsung hero of math problems - it was just chillin in a London cab, and BAM! Next thing you know, its got a special place in history as the smallest sum of two cubes in two different ways . Now they're coming up with puzzles all over the place inspired by this lucky number like the "Square Pair" challenge where you gotta find numbers that can be summed as squares more than once ... I wonder if any 12-year-olds are gonna crack it?

I mean, can you believe this number 1729 is literally the OG of cubes? Like, who knew that in a London cab ride, two mathematicians would stumble upon something so mind-blowing? It's crazy to think about how this tiny bit of math history has led to all these puzzles and whatnot. I'm all about solving those "Square Pair" and "Sick Sixth" challenges - it sounds like some serious brain-twisting fun! And now, a whole school dedicated to maths enthusiasts? That's just pure genius