Dymaxion map
Encyclopedia
Map projection
A map projection is any method of representing the surface of a sphere or other three-dimensional body on a plane. Map projections are necessary for creating maps. All map projections distort the surface in some fashion...
of a world map
World map
A world map is a map of the surface of the Earth, which may be made using any of a number of different map projections. A map projection is any method of representing the surface of a sphere or other three-dimensional body on a plane....
onto the surface of a polyhedron
Polyhedron
In elementary geometry a polyhedron is a geometric solid in three dimensions with flat faces and straight edges...
, which can be unfolded and flattened to two dimensions. The projection depicts the earth's continents as "one island," or nearly contiguous land masses. The arrangement heavily interrupts the map in order to preserve shapes and sizes.
The map was created by Buckminster Fuller
Buckminster Fuller
Richard Buckminster “Bucky” Fuller was an American systems theorist, author, designer, inventor, futurist and second president of Mensa International, the high IQ society....
. The March 1, 1943, edition of Life magazine
Life (magazine)
Life generally refers to three American magazines:*A humor and general interest magazine published from 1883 to 1936. Time founder Henry Luce bought the magazine in 1936 solely so that he could acquire the rights to its name....
included a photographic essay titled "Life Presents R. Buckminster Fuller's Dymaxion World". The article included several examples of its use together with a pull out section that could be assembled as a "three-dimensional approximation of a globe or laid out as a flat map, with which the world may be fitted together and rearranged to illuminate special aspects of its geography." Fuller applied for a patent in the United States in February 1944, the patent application showing a projection onto a cuboctahedron
Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with eight triangular faces and six square faces. A cuboctahedron has 12 identical vertices, with two triangles and two squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such it is a quasiregular polyhedron,...
. The patent was issued in January 1946. The 1954 version published by Fuller, the Airocean World Map, used a modified but mostly regular icosahedron
Icosahedron
In geometry, an icosahedron is a regular polyhedron with 20 identical equilateral triangular faces, 30 edges and 12 vertices. It is one of the five Platonic solids....
as the base for the projection, which is the version most commonly referred to today. The name Dymaxion
Dymaxion
The word Dymaxion is a brand name that Buckminster Fuller used for several of his inventions. It is a portmanteau of the words dynamic, maximum, and ion....
was applied by Fuller to several of his inventions.
The Dymaxion projection is intended only for representations of the entire globe. It is not a gnomonic projection
Gnomonic projection
A gnomonic map projection displays all great circles as straight lines. Thus the shortest route between two locations in reality corresponds to that on the map. This is achieved by projecting, with respect to the center of the Earth , the Earth's surface onto a tangent plane. The least distortion...
, whereby global data expands from the center point of a tangent facet outward to the edges. Instead, each triangle edge of the Dymaxion map matches the scale of a partial great circle on a corresponding globe, and other points within each facet shrink toward its middle, rather than enlarging to the peripheries.
Properties
Fuller claimed that his map had several advantages over other projections for world maps.It has less distortion of relative size of areas, most notably when compared to the Mercator projection
Mercator projection
The Mercator projection is a cylindrical map projection presented by the Belgian geographer and cartographer Gerardus Mercator, in 1569. It became the standard map projection for nautical purposes because of its ability to represent lines of constant course, known as rhumb lines or loxodromes, as...
; and less distortion of shapes of areas, notably when compared to the Gall–Peters projection. Other compromise projections attempt a similar trade-off.
More unusually, the Dymaxion map does not have any "right way up". Fuller argued that in the universe there is no "up" and "down", or "north" and "south": only "in" and "out". Gravitational forces of the stars and planets created "in", meaning 'towards the gravitational center', and "out", meaning "away from the gravitational center". He attributed the north-up-superior/south-down-inferior presentation of most other world maps to cultural bias
Cultural bias
Cultural bias is the phenomenon of interpreting and judging phenomena by standards inherent to one's own culture. The phenomenon is sometimes considered a problem central to social and human sciences, such as economics, psychology, anthropology, and sociology...
.
Fuller intended the map to be unfolded in different ways to emphasize different aspects of the world. Peeling the triangular faces of the icosahedron apart in one way results in an icosahedral net that shows an almost contiguous land mass comprising all of earth's continents – not groups of continents divided by oceans. Peeling the solid apart in a different way presents a view of the world dominated by connected oceans surrounded by land.
Showing the continents as "one island earth" also helped Fuller explain, in his book Critical Path
Critical Path (book)
Critical Path is a book written by US author and inventor R. Buckminster Fuller with the assistance of Kiyoshi Kuromiya. First published in 1981, it is alongside Operating Manual for Spaceship Earth one of Fuller's best-known works...
, the journeys of early seafaring people, who were in effect using prevailing winds to circumnavigate this world island.
Impact
A 1967 Jasper JohnsJasper Johns
Jasper Johns, Jr. is an American contemporary artist who works primarily in painting and printmaking.-Life:Born in Augusta, Georgia, Jasper Johns spent his early life in Allendale, South Carolina with his paternal grandparents after his parents' marriage failed...
painting, "Map (Based on Buckminster Fuller's Dymaxion Airocean World)", depicting a Dymaxion map, hangs in the permanent collection of the Museum Ludwig
Museum Ludwig
Museum Ludwig, located in Cologne, Germany, houses a collection of modern art. It includes works from PopArt, Abstract and Surrealism, and has one of the largest Picasso collections in Europe. It also features many works by Andy Warhol and Roy Lichtenstein....
in Cologne
Cologne
Cologne is Germany's fourth-largest city , and is the largest city both in the Germany Federal State of North Rhine-Westphalia and within the Rhine-Ruhr Metropolitan Area, one of the major European metropolitan areas with more than ten million inhabitants.Cologne is located on both sides of the...
.
External links
- Fuller Map homepage
- Dymaxion Project Animation
- Fuller Projection
- Icosahedron and Fuller maps
- Table of examples and properties of all common projections
- Metamute's rendition of the Dymaxion map 2001
