1 / 9

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?

mahina
Télécharger la présentation

Taxi Cab Geometry

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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?

More Related