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.
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.