Differential Geometry and Geometric Structures
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Hans Havlicek: Visualisation

This is a series of lectures and exercises about pictorial depiction of mathematics.



One family of generators on a hyperbolic quadric


A quartic surface


The recent lectures cover the following topics:

  • Parallel Projection
  • Introduction to POV-Ray
  • Central Projection
  • Creating Images of Curves and Surfaces with POV-Ray
  • Animations

Lecture notes (Visualisierung, in German) can be downloaded from my page on Publications.

Student's Work

See some of the pictures and animations, which were created with POV-Ray - The Persistence of Vision Raytracer.


This was a joint course with Boris Odehnal in the years 2007 and 2008. I gratefully acknowledge his comprehensive contribution. Some sections of my lecture notes and several exercises are based on his expertise.

Quick Links

H. Havlicek: Publications
H. Havlicek: Lineare Algebra für Technische Mathematiker
(in German)

H. Havlicek: Evaluation of Teaching
Boris Odehnal
Picture Gallery of Map Projections
Sammlung mathematischer Modelle
(in German)

Sammlung kinematischer Modelle
(in German)

Analyse ebener Getriebe
(in German)


External Links


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Last modified on February 4th, 2019.