Author: Cogley, J. Graham

Source: Cartography and Geographic Information Science, Volume 29, Number 4, October 2002 , pp. 381-390(10)

Publisher: Cartography and Geographic Information Society

Abstract:

Gringonen's square equal-area map projection has been forgotten since its appearance in 1972. I describe a modern implementation, including details of how to arrange, in different ways, the fundamental Gringonen projection of a sexadecant (one sixteenth of the surface of the sphere) onto a triangle. The Gringorten Mark I projection is an arrangement in which one hemisphere forms a square, with the other hemisphere disposed around it so that the whole sphere projects as a diamond, which may then be rotated to appear as a square. I introduce an alternative arrangement, the Gringorten Mark II, which is twice as high as it is wide, with one hemisphere on top of the other. These variants are compared with some other square map projections. Maps that fill a rectangular space completely can be very useful where, as on computer screens, space is limited and must be used efficiently.

Keywords: MAP PROJECTIONS; SQUARE MAPS; EQUAL-AREA MAPS; COMPUTER CARTOGRAPHY; OPTIMIZATION OF COMPUTER SCREEN SPACE

Document Type: Research article

DOI: http://dx.doi.org/10.1559/152304002782008341

Publication date: 2002-10-01

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• Cartography and Geographic Information Science (CaGIS) is the official publication of the Cartography and Geographic Information Society. CaGIS supports research, education, and practices that improve the understanding, creation, analysis, and use of maps and geographic information. The society serves as a forum for the exchange of original concepts, techniques, approaches, and experiences by those who design, implement, and use geospatial technologies through the publication of authoritative articles and international papers. The role of the CaGIS journal is to facilitate these objectives by disseminating results and reports in these areas of interest.
  
  Cartography and Geographic Information Science (CaGIS) is now being published by Taylor & Francis as of 2013. Please visit the Journal's website at www.tandfonline.com/tcag or contact subscriptions@tandf.co.uk to subscribe and obtain online access.
  
  
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