For example, the program might ask for the starting location, direction of travel and width of the map image on the screen. The user could give the direction of travel and information that would translate to the width of the path by enter a unit tangent vector at a location on the surface of the Earth. Instead of the Cap Replacement program, we would consider the direction (v_x,v_y,v_z) and location Q of this vector as generating an equator of travel. This equator would go through Q and have direction of travel (v_x,v_y,v_z). Further, the program could use the length of (v_x,v_y,v_z) as if it were an indication of ground speed. It this length is large, it would signify moving quickly over the ground---meaning you are low to the ground. In other words, a longer vector would mean the screen contains a smaller part of the Earth. Cap Replacement program and World Wallpaper weren't total failures. Catching continuity violations in World Wallpaper and the Cap Replacement program inspired us to the trip metaphor. It suggested a sense of how one might set up a computer program for truly dynamic maps using landsat pictures. Further, these ideas apply to any topological surface. Creating maps on the human heart, brain, and other internal organs is a practical topic suitable for continuing this project. The topology of these surfaces is different from the sphere. So, they bring a different set of problems.

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[Devote this section to a questionnaire (FORMS) asking questions that solicit ideas and suggestions from the viewer]


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