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Google Earth and Discrete Maths

Google Earth and Discrete Maths. These slides contain some images from Google Earth that you can use to motivate discussions and set problems in the classroom. The emphasis is on topics in discrete maths. Images are for classroom-based educational use only. Stuart Price 2009 stoofus@gmail.com.

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Google Earth and Discrete Maths

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  1. Google Earth and Discrete Maths • These slides contain some images from Google Earth that you can use to motivate discussions and set problems in the classroom. • The emphasis is on topics in discrete maths. • Images are for classroom-based educational use only. Stuart Price 2009 stoofus@gmail.com

  2. Bin Packing Problems • Images of the Wightlink and Brittany Ferries terminals in Portsmouth.

  3. Wightlink Terminal

  4. Wightlink Loading Queues

  5. Brittany Ferries

  6. Traversing a Graph • These images are for the classic “Bridges of Königsberg” problem. • The area is now known as Kaliningrad. • The current bridges are different from the original ones but the topology of the problem has not changed.

  7. Königsberg / Kaliningrad

  8. Land Outlines

  9. The 7 Bridges Problem

  10. An 8th bridge

  11. “Kneiphof Island” • The smaller island is historically interesting. • It is home to Königsberg Cathedral and is the burial place of Immanuel Kant. (Wikipedia) • Compare the parks and cathedral with the motorway passing through!

  12. Kneiphof Island

  13. Barcelona • Much can be discussed about the city of Barcelona. • The more modern parts of the city can be clearly distinguished by the “blocks” style layout. • In fact the blocks have ‘shaved’ corners (so they are actually octagonal) to ease traffic flow. Most are 1 way streets.

  14. City Overview

  15. Parallel and Meridian Streets… In Catalan, the streets’ names are “Avinguda del Paral·lel” and “Avinguda Meridiana”

  16. ..run with latitude and longitude

  17. Eixample Esquerra • The Eixample* is home to my “how many ways can I get to university?” problem. • My house and the university are highlighted on the next slide. • Streets are then highlighted. • An extension includes narrower, additional ways. *Pronounced along the lines of “I-sharmpler”

  18. The Eixample District Maps of Barcelona are printed with this orientation. North is no longer “up” the page!

  19. How Many Different Routes?

  20. Extension: Now how many routes?

  21. Hint for First Problem

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