Complex Beauties 2017 Calendar Now Available

Since 2011 a dedicated team led by Prof. Elias Wegert at the TU Bergakademie Freiberg have published an annual calendar with beautiful plots of complex functions.

Complex Beauties 2017 calendar

While functions that take on real values for real arguments, like sin(x) for x>0, are easy to visualise on a 2-dimensional piece of paper, the graphs of complex functions generally live in four-dimensional space and are therefore not very intuitive. One way to visualise a complex function f over the complex plane is to use a cyclic range of colours for the argument arg(f(z)), giving rise to a so-called phase plot. The phase plot can be interpreted as a fingerprint of the function: although only one part of the data is encoded (the argument) and the other part is suppressed (the absolute value), functions of an important class (so-called meromorphic functions) can be reconstructed uniquely up to a normalisation. (See for more information.)

The Complex Beauties 2017 calendar is now available for download on It is also possible to order printed versions of the calendar.

The month March 2017 features a phase plot relating to recent work of our School's Dr. Stefan Güttel on Padé approximation (shown on this page). Stefan studied Mathematics at TU Bergakademie Freiberg and also obtained his PhD there. He learned complex analysis from Prof. Elias Wegert. Stefan is a Senior Lecturer in Numerical Analysis in the School.

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