This is the final post in a series of three posts about shortest tours, solutions to the so-called traveling salesmen problem.
The first was a tour of Africa. Actually two tours, one for the continent and one for islands. See this post for the Mathematica code used to create the tours.
The second was about the Americas: one tour for the North American continent, one for islands, and one for South America.
This post will look at Eurasia and Oceania. As before, I limit the tours to sovereign states, though there are disputes over which regions are independent nations. I first tried to do separate tours of Europe and Asia, but this would require arbitrarily categorizing some countries as European or Asian. The distinction between Asia and Oceania is a little fuzzy too, but not as complicated.
Oceania
Here’s a map of the tour of Oceania.
Here’s the order of the tour:
- Australia
- East Timor
- Indonesia
- Palau
- Papua New Guinea
- Micronesia
- Marshall Islands
- Nauru
- Solomon Islands
- Vanuatu
- Fiji
- Tuvalu
- Kiribati
- Samoa
- Tonga
- New Zealand
The total length of the tour is 28,528 kilometers or 17,727 miles.
Eurasia
Here’s a map of the the Eurasian tour.
Here’s the order of the tour:
- Iceland
- Norway
- Sweden
- Finland
- Estonia
- Latvia
- Lithuania
- Belarus
- Poland
- Czech Republic
- Slovakia
- Hungary
- Romania
- Moldova
- Ukraine
- Georgia
- Armenia
- Azerbaijan
- Turkmenistan
- Uzbekistan
- Afghanistan
- Pakistan
- Tajikistan
- Kyrgyzstan
- Kazakhstan
- Russia
- Mongolia
- China
- North Korea
- South Korea
- Japan
- Taiwan
- Philippines
- East Timor
- Indonesia
- Brunei
- Malaysia
- Singapore
- Cambodia
- Vietnam
- Laos
- Thailand
- Myanmar
- Bangladesh
- Bhutan
- Nepal
- India
- Sri Lanka
- Maldives
- Yemen
- Oman
- United Arab Emirates
- Qatar
- Bahrain
- Saudi Arabia
- Kuwait
- Iran
- Iraq
- Syria
- Lebanon
- Jordan
- Israel
- Cyprus
- Turkey
- Bulgaria
- North Macedonia
- Serbia
- Bosnia and Herzegovina
- Montenegro
- Albania
- Greece
- Malta
- Italy
- San Marino
- Croatia
- Slovenia
- Austria
- Liechtenstein
- Switzerland
- Monaco
- Andorra
- Spain
- Portugal
- France
- Belgium
- Luxembourg
- Germany
- Netherlands
- Denmark
- United Kingdom
- Algeria
The total length of the tour is 61,783 kilometers or 38,390 miles.
These appear to use the geographic center of each country — it would be more interesting (albeit much more difficult) to determine the shortest tour which only needs to touch somewhere inside each country.
I was thinking the same as Ben. The shortest such tour probably hits a lot of tripoints (https://en.wikipedia.org/wiki/Tripoint) where three international borders meet.
Two comments:
– #91 in the Eurasia tour should be Ireland, not Algeria, right?
– following Rahul, people have tried to come up with the shortest way to visit each of the 48 contiguous states and these tours end up tripoint-heavy. See for example
https://www.howderfamily.com/blog/shortest-48/
http://www.gregrice.com/rides/gregrice-48-State-Ride.html
https://allfiftyclub.com/members/barrystiefel-2/