The internet will dramatically change the classical way of communicating and publishing mathematics. We have given some ideas on possible changes to expect, and the benefits which mathematics may gain from these new developments. The interactive, exploratory component of mathematics, which has been removed from mathematical publications for a too long time, is now available in the form of Java enabled software. We have given several examples of multimedia enhanced experiments which allow to imagine the possibilities waiting at the horizon.
For more information and interactive versions of the experiments described in this paper we refer to the JavaView home page [8]. These pages also include tutorial material how to include interactive geometries into own web pages.