Editing 85: Paths
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== Explanation == | == Explanation == | ||
β | This comic centers around the consideration of what is the shortest path available to a person traveling by foot. [[Cueball]] has to travel across a rectangular distance, which has an established path around the periphery. When Cueball follows these paths, he has to walk for 60 seconds. He realizes that by ignoring the paths and taking the {{w|Desire path|desire lines}} from corner to corner, his route will be shorter, and he calculates that he could cut up to 26% of his time. | + | This comic centers around the consideration of what is the shortest path available to a person traveling by foot. [[Cueball]] has to travel across a rectangular distance, which has an established path around the periphery. When Cueball follows these paths, he has to walk for 60 seconds. He realizes that by ignoring the paths and taking the {{w|Desire path|desire lines}} from corner to corner, his route will be shorter, and he calculates that he could cut up to 26% of his time. As a result, every time he has to travel this rectangle, he worries about the extra time taken as a result of following the path. |
Each path has labels for the time it takes (e.g. Path 2 takes 48.2 seconds) and the time compared to the longest path (e.g. Path 3 takes 74% as long as Path 1). Each path also has a corresponding equation for in the upper-right corner representing the time each path would take if Path 1 takes ''t'' seconds (instead of 60). | Each path has labels for the time it takes (e.g. Path 2 takes 48.2 seconds) and the time compared to the longest path (e.g. Path 3 takes 74% as long as Path 1). Each path also has a corresponding equation for in the upper-right corner representing the time each path would take if Path 1 takes ''t'' seconds (instead of 60). |