Mathematics of Mapping

"The act of mapping is as profound as the invention of a number
system ... The combination of the reduction of reality and the
construction of an analogical space is an attainment in abstract
thinking of a very high order indeed ..."
- Arthur Robinson, "Early Thematic Mapping in the History of
Cartography"

In 1569, the Flemish Cartographer Gerardus Mercator first tried
to create a map of the world on a flat surface, as opposed to a globe
and the mathematical challenge he faced seemed to be
unsurmountable: How can a curved surface be accurately
represented on a flat surface?

In the end he came up with equations of projection which enabled
cartographers to create charts which sailors could easily navigate.
With that huge benefit of those years came the very uncomfortable
feeling of visual distortion. Mercator's projection method showed,
for example, Greenland to be larger than South America, when, in
fact, it is approximately of the size of Mexico.

After about 400 years a renowned cartographer named Arthur
Robinson first took up that challenge of bringing some sense of truth
in that totally mathematical representation of Mercator. In his
procedure of projection he followed a reverse direction - He started
with a sketch of a map that, in both shape and size, appeared to be
more accurately representing the world than that coming out of
Mercator's method. Thereafter he calculated the mathematical
representation of this map.

The poles appeared to be much less distorted in Robinson's map.
His projection method is used by maps from the company Rand
McNally (www.randmcnally.com) who commissioned Robinson to
work on this problem in 1963.

Robinson died on October 10th, 2004 at the age of 89.