Monthly Essays on Mathematical Topics
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Description: Digest and essays on mathematical topics, published by the American Mathematical Society. On-line archive.
In effect, stereographic projection wraps the plane around the sphere, missing only that one point... University of British Columbia, Vancouver, Canada It is impossible to draw maps of the Earth's surface on a flat surface in such a way that no distortion takes place. Put more mathematically, it is impossible to render paths on a sphere onto a flat surface in such a way that all distances remain the same. In drawing a map of a sphere some compromises must be made. On the other hand, the human eye likes certain properties of the Earth's surface to remain invariant in order to make sense of a map more easily. Most maps adopt one of two possible strategies---that areas are preserved or that angles are preserved.
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