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The Impossible Tribar

  • George K. Francis

Abstract

Few mathematicians have never meditated on Maurits Escher’s magnificent “Waterfall”. This print convincingly depicts an over and undershot waterwheel perpetually driven by a closed stream. The water flows from the base of the wheel down a zigzag millrace which is supported by two towers, and spills from it again, two stories above the wheel.

Keywords

Fundamental Group Euclidean Geometry Free Abelian Group Holonomy Group Picture Plane 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2007

Authors and Affiliations

  • George K. Francis
    • 1
  1. 1.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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