World Tour

Dodeka International Airlines is offering a FREE world tour if you can solve the puzzle above. Starting at any city, visit each city only once and return to your initial city. You may only fly the routes indicated on the map. The map is a polar projection of the earth. Because of this, cities closer to the circumference are much closer than they appear. Check out other world maps at GeoAtlas.com.

ASSIGNMENT

Solve the puzzle
Screen copy your solution
showing the Welcome Home message.
Email it to your instructor
and tell him how long it took you to solve it.

Then for 5 points answer the questions below.
1. How many solutions are there to the puzzle?
2. How many lines in all connect the 20 cities?
  Count the connecting flights between each city.
3. Is it possible to travel all the lines without retracing any of them?
4. Look up the five regular polyhedra. Which one most resembles this puzzle?
5. Which technologies and industries in today's world, besides the airlines, would be most concerned with the solution to this puzzle?
No points for answers till you solve the puzzle.
No points for puzzle till you answer the questions.
You may submit answers as many times as you wish.

Do NOT email your instructor your answers.
Post your answers in a comment on this page for others to read.
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