Powerful computers together with sophisticated programs for geometric modeling and graphical rendering allow to create interesting and artistic displays in novel ways. Computers can play a role in the definition of new shapes, e.g., through the use of abstract geometrical generator functions, as well as in the realization of these shapes, e.g., by drawing exact blueprints or by milling parts. On the other hand, "sculptures" described in the computer need not be physically realized but can be enjoyed in their virtual form on a computer display screen or in an ingressive virtual world. Emerging technologies will make it possible to touch these sculptures and to interact with them in cyberspace.