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  • Textbook
  • © 2018


  • Well-presented film about conformal maps and their applications in geodesy, computer graphics, and architecture

  • Winner of Berlin Short Film Festival 2015

  • Mathematical Film addressed at everybody interested in mathematics

  • Multilingual version – English, French, German, Italian and Russian

Part of the book series: Springer VideoMATH (VIDEOMATH)

About this book

How can you make good flat maps of the round earth? Our story begins with Mercator's world map of 1569, the first angle-preserving (or conformal) world map. His idea fell on fruitful soil, from which a new branch of mathematics has developed. This movie shows some of the highlights of this development, yielding a series of elegant visual forms which arise as conformal maps on a variety of surfaces in 2- and 3-D. Featuring non-technical language, a simple aesthetic, compelling animation, and an original score, the movie builds an accessible bridge from everyday experience to a beautiful but little-known mathematical theory that continues to bear technological fruit today in fields such as computer graphics and architecture.


  • conformal maps
  • mathematical video
  • cartography
  • visualization
  • winner of Berlin Short Film Festival 2015

Authors and Affiliations

  • Technical University of Berlin, Berlin, Germany

    Alexander I. Bobenko

  • Institute of Mathematics, Technical University of Berlin, Berlin, Germany

    Charles Gunn

About the authors

Alexander I. Bobenko is a professor of Mathematics at the Technical University of Berlin, Germany. His fields of interest include geometry, mathematical physics and applications - in particular differential geometry, discrete differential geometry, integrable systems, Riemann surfaces, and geometry processing.

Charles G. Gunn's creative activities combine - in varying proportions - mathematical research, 3D graphics, software development, teaching, and movie-making. He lives near Berlin with his family.

Bibliographic Information