## Discrete Mathematics and Geometry

**Prof. Hellmuth Stachel** (Institute for Mathematics and Discrete Geometry, TU-Vienna) s, due to his work on geometry and computation – preliminaries for science visualization – the perfect partner in computational programming. He is mentoring the elaboration of the „discrete dynamic geometry“ concept and the development of structures of the higher-dimensional space configuration for its application on 3D-animation. With Prof. Stachel Renate Quehenberger may discuss the required theories in his specific fields of geometry and mathematics.

The artwork includes studies in Flexible Polyhedra, Geometry of Mechanisms, Theory of Linear Mappings, Classical Geometry and its applications, Descriptive Geometry, Computer Aided Design, Kinematics,, Elementary Geometry. Surface theory and Symmetry groups, Lie groups, Poincaré classes, Abelian and Non- Abelian Rotation, Clifford parallels Calabi-Yau Threefolds and Mirror Symmetry.

**Twisted Epita-Dodecahedron**

Geometrical study: a dodecahedron is filled with 12 epitahedra which perform rotations

**Investigations on the discrete 5D space structure**

CAD images Christian Magnes