Political maps

The topologist’s map of the world

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This map, at first glance, similar to a medieval map of the world ‘mappa mundi’, is the topologist’s map of the world, showing international borders, and nothing else.

Topology in math is the study of properties that are preserved when a shape is curved or elongated. So a circle and a square are topologically equal because they are both a simple loops. A figure eight isn’t comparable to them since it has the intersection point and two loops.

This map is showing the basic adjacency within regions, without consideration for the complicated shapes the areas take. In topology, the borders can be smoothed out, but the adjacency is a fixed property that remains no matter how much the edge is reshaped.

The topologists' map of the world
Reddit user: gjvnq1

The map shows the topology of national borders; all information about a country’s shape and size are ignored. This leads to some interesting effects: Brunei and Indonesia are linked to Afro-Eurasia since they connected through Malaysia, even though they are on different landmasses. Exclaves have otherwise been ignored. The world is encircled by a ring of 38 island nations, as well as two pairs (Haiti/Dominican Republic and Ireland UK). East is (approximately) up.

Related posts:
10 of the world’s shortest borders
When were the world’s current borders first defined

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Patrick Chevallier
Patrick Chevallier
3 years ago

A link is missing between Black sea and Mediterranean, because the Black sea is not an inland lake. Here is an edited version:
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Be the better person
Be the better person
3 years ago

Funny that on your map Brazil is not connected to water.
I sincerely do not know then what the fuss is all about Copacabana beach?

Chaplin
Chaplin
3 years ago

Topological map of the former USSR.
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Chaplin
Chaplin
3 years ago

Topological map of Belgium
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Chris M
Chris M
3 years ago

This map is nonsense. According to this map, Papua New Guinea is not an island, because it joins Indonesia, and Indonesia (on a different land mass) joins Malaysia. OK fine, but Gibraltar is joined to Spain, so by that logic the Ireland should be part of Europe’s main land mass because it joins the UK which joins Europe. And Guantanamo Bay joins Cuba, therefore Cuba should be part of the American land mass. And guess what… Australian Antartic Territory joins Russian Antarctic Territory, so why is Australia off on its own? This map is complete nonsense, the entire basis of it needs rethinking.

Brett Stiefel
Brett Stiefel
4 years ago

Can this be purchased. I am perfectly happy to pay the creator. If not is it public domain or licensed for public printing?

Alexander Gorbunov
Alexander Gorbunov
4 years ago

@disqus_naTGRsVJf2:disqus Hi ! Did you use any software to generate the topological maps of the countries ? I would like to try something similar on city maps.

Chaplin
Chaplin
4 years ago

Topological map of India
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Slimpie
Slimpie
4 years ago

Saint-Martin? I miss a link between France and the Netherlands.

Chaplin
Chaplin
4 years ago

Soviet Union Topological Map

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Geo
Geo
4 years ago

Topological map of India

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Chaplin
Chaplin
4 years ago

Topological map of the Netherlands
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Geo
Geo
4 years ago

Topologycal Map of Germany
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Chaplin
Chaplin
4 years ago
Reply to  Geo

Topological Map of Germany

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Alex E
Alex E
4 years ago

Brazilian States Topological Map

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Alex E
Alex E
4 years ago

Topologcial maps of France
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Geo
Geo
4 years ago
Reply to  Alex E

Borders of France

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Alex E
Alex E
4 years ago

Topological Map of North and South Korea
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Geo
Geo
4 years ago

Topological map of Spain

comment image Topologycal Map of Spain

Alex E
Alex E
4 years ago

Topological map of Italy
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Chaplin
Chaplin
4 years ago

Topological map of Portugal
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Alex E
Alex E
4 years ago

Topological map of Turkey
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Geo
Geo
4 years ago

Topological Map of United States

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Chaplin
Chaplin
4 years ago
Reply to  Geo

The Topologist’s Map of the Contiguous U.S.
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Geo
Geo
4 years ago
Reply to  Geo

Topological map of Florida and its counties

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Geo
Geo
4 years ago

Topological map of Argentina.

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Fabio Deluca
Fabio Deluca
3 years ago
Reply to  Geo

Some mistakes there:

– The province is called Tierra del Fuego (Ushuaia is the capital city).
– Buenos Aires and Córdoba have a common border.
– There’s a quadripoint between Mendoza, La Pampa, Neuquén and Río Negro. If you show La Pampa and Neuquén as having a common border, then there should be one between Rio Negro and Mendoza too.
– Chaco has a (short) border with Paraguay.

Alex E
Alex E
4 years ago

Topological (language) map of Belgium

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Chaplin
Chaplin
4 years ago

Topological Map of Germany
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Chaplin
Chaplin
4 years ago

Yoguslavia’s Topology Map

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