Maps (Geometry and the Imagination)
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Conway, Doyle, Gilman, Thurston; The Geometry Center  
A map in the plane is a collection of vertices and edges (possibly curved) joining the vertices such that if you cut along the edges the plane falls apart into polygons. These polygons are called the faces. A map on the sphere or any other surface is defined similarly. Two maps are considered to be the same (topologically equivalent) if you can get from one to the other by a continouous motion of the whole plane. Euler numbers; Discussion.  


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Math Topics:  e, Polyhedra, Topology 
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