Abstract Maps that correctly represent the geographic size and shape of regions, taking into account scaling generalization, have disadvantage small regions can easily be overlooked or not seen at all. Hence, for some map use tasks where are importance, alternative types needed. One option is so-called equal area unit maps (EAUMs), every enumeration has same size, possibly also basic such as sq...

In this paper, we consider the problem of packing two or more equal area polygons with disjoint interiors into a convex body K in E such that each of them has at most a given number of sides. We show that for a convex quadrilateral K of area 1, there exist n internally disjoint triangles of equal area such that the sum of their areas is at least 4n 4n+1 . We also prove results for other types o...

If one wishes to produce a world map that displays area-based data, such as the extent of rain forests, the range of butterfly migrations, or the access of people in various regions to medical facilities, then it is often appropriate to use a base map that shows the areas of all regions of the earth’s surface in their correct proportions. Such a map is called an equal area or equivalent map by ...

Tom Regan's seafaring dog that is justifiably thrown out of the lifeboat built for four to save the lives of four humans has been the topic of much discussion. Critics have argued in a variety of ways that this dog nips at Regan's achilles heel. Without reviewing previous discussions, with much of which I certainly agree, I wish to develop an unexplored approach to exposing the vulnerability of...