A mathematical conundrum involving transport links and soap bubbles has been posed to challenge your problem-solving skills. Four towns are situated at the corners of a square, and the goal is to determine the most efficient road network that connects all four towns using the smallest total length of road.
The O-loop solution appears to be overly ambitious, with unnecessary asphalt being utilized. Similarly, the U-route is deemed too lavish. However, it's worth noting that the X-road provides the shortest route from any town to the one in the opposite corner, but not the optimal answer for overall length of road.
To solve this problem, you can either make an intuitive guess or use a soap bubble method. The latter involves creating a plastic model of the puzzle and placing it in a bowl of soapy water. Bubbles will form around the dowels displaying the answer, with nature instantly finding the minimal structure. This process is akin to an analogue computer.
A visit to MathsWorld London, a maths discovery centre, has sparked my interest in this problem. The venue features dozens of interactive exhibits, including a gigantic soap bubble machine that allows visitors to stand inside and pull a bubble over their heads. Another exhibit showcases an elliptical pool table, Morse code machine, 5ft build-your-own arch, and many hands-on puzzles.
MathsWorld London is the capital's first attraction uniquely focused on maths and reflects years of planning and fund-raising. Each exhibit embodies mathematical concepts through play, with explainers available to provide more information if needed. The centre is an inclusive and joyful space that welcomes visitors from all walks of life.
For those outside London, a sister project called MathsCity Leeds offers a similar experience, featuring a giant bubble machine and other interactive exhibits.
The O-loop solution appears to be overly ambitious, with unnecessary asphalt being utilized. Similarly, the U-route is deemed too lavish. However, it's worth noting that the X-road provides the shortest route from any town to the one in the opposite corner, but not the optimal answer for overall length of road.
To solve this problem, you can either make an intuitive guess or use a soap bubble method. The latter involves creating a plastic model of the puzzle and placing it in a bowl of soapy water. Bubbles will form around the dowels displaying the answer, with nature instantly finding the minimal structure. This process is akin to an analogue computer.
A visit to MathsWorld London, a maths discovery centre, has sparked my interest in this problem. The venue features dozens of interactive exhibits, including a gigantic soap bubble machine that allows visitors to stand inside and pull a bubble over their heads. Another exhibit showcases an elliptical pool table, Morse code machine, 5ft build-your-own arch, and many hands-on puzzles.
MathsWorld London is the capital's first attraction uniquely focused on maths and reflects years of planning and fund-raising. Each exhibit embodies mathematical concepts through play, with explainers available to provide more information if needed. The centre is an inclusive and joyful space that welcomes visitors from all walks of life.
For those outside London, a sister project called MathsCity Leeds offers a similar experience, featuring a giant bubble machine and other interactive exhibits.