


Fuller's 1980 version of the Dymaxion map was the first definition and use of a mathematical transformation process to make the map. 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. It is not a gnomonic projection, whereby global data expands from the center point of a tangent facet outward to the edges. The Dymaxion projection is intended only for representations of the entire globe. The version most commonly referred to today, it depicts Earth's continents as "one island", or nearly contiguous land masses. In 1954, Fuller and cartographer Shoji Sadao produced the Airocean World Map, a version of the Dymaxion map that used a modified but mostly regular icosahedron as the base for the projection. 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, showing a projection onto a cuboctahedron, which he called "dymaxion". The March 1, 1943, edition of Life magazine included a photographic essay titled "Life Presents R. The projection was invented by Buckminster Fuller. The flat map is heavily interrupted in order to preserve shapes and sizes.

The Dymaxion map or Fuller map is a projection of a world map onto the surface of an icosahedron, which can be unfolded and flattened to two dimensions. Example of use illustrating early human migrations according to mitochondrial population genetics (numbers are millennia before present) Dymaxion map of the world with the 30 largest countries and territories by total area, roughly to scale This icosahedral net shows connected oceans surrounding Antarctica. The world flattens to a Dymaxion map as it unfolds into an icosahedron net with nearly contiguous land masses.
