The Impossible Tribar

  • George K. Francis


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.


Fundamental Group Euclidean Geometry Free Abelian Group Holonomy Group Picture Plane 
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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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