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Computational Geometry

In: Mathematica in Action

Author

Listed:
  • Stan Wagon

    (Macalester College, Department of Mathematics and Computer Science)

Abstract

Can a room in 3-space be designed so that a small person can find a hiding place that is invisible from guards located at every vertex of the room? Such a two-dimensional polygon cannot exist. But the image shows a three-dimensional room that does contain such a hiding place. The roof of the room has been removed so we can see inside: there are six ducts that come in from a wall almost to the opposite wall and the hiding place is the red dot in the central cubicle that is almost sealed off by the ducts.

Suggested Citation

  • Stan Wagon, 2010. "Computational Geometry," Springer Books, in: Stan Wagon (ed.), Mathematica in Action, edition 3, chapter 15, pages 399-422, Springer.
  • Handle: RePEc:spr:sprchp:978-0-387-75477-2_16
    DOI: 10.1007/978-0-387-75477-2_16
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