Distance Metrics: As the Taxi Drives
Three ways to measure distance on a city grid (taxicab, Euclidean and max-norm), the last attributed to real estate agents.
Use this cartoon
Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.
Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2021-01-01-distance-metrics-as-the-taxi-drives/ (CC BY-NC 4.0)Transcript
[Grid of city blocks, Home to Destination] 7 blocks (L₁ distance) "as the taxi drives" · 5 blocks (L₂ distance) "as the crow flies" · 4 blocks (L∞ distance) "as the real estate agent describes distances to things"