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.
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.