The Connect-The-Towns Math Problem

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Here is the connect-the-towns math problem: There are four towns (points A, B, C, and D). They are arranged in a perfect one mile by one mile square. What road design would result in the minimum amount of road needed to connect each town to every one of the other three towns? Watch a detailed explanation of the solution below.

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Key Facts In This Video

  1. Here's the connect-the-towns math problem: 00:01

  2. Working out the solution to problems like the connect-the-towns math problem is called calculus of variations. 01:36

  3. Here is the solution to the connect-the-towns math problem: 02:25