Villanova University, Department of Mathematical Sciences

Cartographiometry (MAT 1210/ GEO 1700)

(©  copyright 1996-1999, Timothy G. Feeman and Elaine F. Bosowski.)

Map compilation: Like squares.

The like squares method provides a basic low-tech way to transfer the boundaries found on base maps and/or in your atlas to the graticules you generate on the computer. In use for centuries,the like squares method serves as a means of changing scale, orientation, and/or projection format by transferring the information that is in one area on a source map to the corresponding area on the map you are creating.

Before you begin your map compilation, study the base graticules for the source map (usually a globe or a suitable atlas map) as well as for the map you are creating. Make sure that you can answer these questions for both graticules:

Once you have answered these questions, you may proceed.

What you are doing is creating proportional squares throughout both the source and final map. Ideally, one would make accurate maps using the specific latitude and longitude and mathematically calculating the locations of the point on a new map. For our purposes in this course, we want you to use highly generalized and simplified boundary lines. Only the boundaries between land and water will be put on your newly generated graticules.

To highlight the land masses relative to the bodies of water on your maps, you will draw  in only those portions of the graticule that lie within ocean regions. This will allow the land masses to emerge as the "figure" within the graticule covered "ground", or oceans.

At the end of the course, you will have a set of graticules and maps that allow you to see and compare the similarities and differences among and between different map projections.  

 

Finally, a sketch of the Like Squares method: