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Taxi Cab Geometry

Taxi Cab Geometry. Non-Euclidian Counting Problem. What is the shortest distance?. What is the shortest distance from A to B? Let each edge of a square be 1 inch. What is the shortest distance?. What is the shortest distance from A to B if you have to stay on the grid lines?

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Taxi Cab Geometry

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  1. Taxi Cab Geometry Non-Euclidian Counting Problem

  2. What is the shortest distance? • What is the shortest distance from A to B? Let each edge of a square be 1 inch.

  3. What is the shortest distance? • What is the shortest distance from A to B if you have to stay on the grid lines? • Verify by having 2 drawings. Explain how you know there isn’t a shorter distance.

  4. How many shortest paths are there?

  5. Problem Solving Skills • Study a simpler problem and look for patterns.

  6. 1x systems • For the 1x blocks, find the length of a shortest path and how many shortest paths there are. Note any patterns.

  7. 2x systems • For the 2x blocks, find the length of a shortest path and how many shortest paths there are. Note any patterns.

  8. 3x systems • For the 3x blocks, find the length of a shortest path and how many shortest paths there are. Note any patterns.

  9. How many shortest paths are there?

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