The book collects results about realization spaces of polytopes. It gives a presentation of the author's "Universality Theorem for 4-polytopes." It is a comprehensive survey of the important results that have been obtained in that direction. The approaches chosen are direct and very geometric in nature. The book is addressed to researchers and to graduate students. The former will find a comprehensive source for the above mentioned results. The latter will find a readable introduction to the field. The reader is assumed to be familiar with basic concepts of linear algebra.

Cinderella is a unique, technically very sophisticated teachware for geometry. It will be used as a tool by students learning Euclidean, projective, spherical and hyperbolic geometry, as well as in geometric research by scientists. Moreover, it can also serve as an authors' tool to design web pages with interactive constructions or even complete geometry exercises.

Cinderella ist eine einzigartige, technisch ausgereifte interaktive Geometrie-Lernsoftware, die sich ausgezeichnet fur Studenten zum Erlernen der Euklidischen, projektiven, spharischen und hyperbolischen Geometrie eignet. Aufgrund seines leistungsfahigen mathematischen Kerns kann Cinderella jedoch ebenfalls als Werkzeug fur Wissenschaftler in der Forschung auf dem Gebiet der Geometrie und Komplexitatstheorie Anwendung finden. Die Software enthalt einen eingebauten automatischen Beweiser fur geometrische Satze. Durch eine einfache Exportfunktion kann Cinderella als Werkzeug zum Gestalten von...

Cinderella.2, the new version of the well-known interactive geometry software, has become an even more versatile tool than its predecessor. The geometry component extends the functionality to such spectacular objects as dynamic fractals, and the software includes two major new components: physical simulation such as of mechanical objects, virtual electronic devices, and electromagnetic properties. Cinderella.2 Documentation offers complete instruction and techniques for using Cinderella.2.