
 Encyclopedia: Geodesic 
  The term "geodesic" comes from geodesy, the science of measuring the size and shape of the earth; in the original sense, a geodesic was the shortest route between two points on the surface of the earth, namely, a segment of a great circle. 
  Geodesic domes are designed by taking a Platonic solid, such as an icosahedron, and then filling each face with a regular pattern of triangles bulged out so that their vertices lie in the surface of a sphere. 
  Every shortest path from A to B yields a geodesic, but the converse is not always true, as the example of a sphere shows. 
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