Homepage of Hans de Nivelle

address and email . Homepage of the institute .


In October 2017, I will move to the School of Science and Technology of Nazarbayev University in Astana, where I will probably teach a course on Data Structures and Algorithms. This means that I will not be teaching in Wrocław any more. Here is an overview of lectures that I taught in Wrocław.


My research interests are automated theorem proving, verification, proof theory, and implementation.

Committee Memberships


Geo woke up from its sleep!


I organized TABLEAUX and FroCoS in Wroclaw during 21-24 September 2015.

Quaternion Finder

Build your own
Quaternion Finder! Thanks to Tomasz Wierzicki for the typesetting.

The cube can also be used for finding (the rotations of) transformations between different coordinate systems as follows:

  1. Align the cube with coordinate system C1.
  2. Find the position of (1;0,0,0) on the cube.
  3. Align the cube with coordinate system C2.
  4. The quaternion can be read off from the place where (1;0,0,0) was found in Step 2.


What quaternion represents the eye coordinates of a pilot, relative to the coordinate system of his plane? Assume that you are the pilot. Airplane coordinates have X pointing forward, Y to the right, Z down. In this orientation, (1;0,0,0) is at the bottom of the cube to the right. In your eye coordinates, X will be to the right, Y will be upwards, Z will be pointing behind you. If you align the cube, bottom right now contains the quaternion (1;-1,-1,1).