====== Introduction ======

This tutorial describes how to model functionally defined geometric objects using HyperFun. Although **HyperFun Polygonizer** is referenced throughout the tutorial, any other available viewer of HyperFun models can be used for exercises.

===== What is HyperFun? =====

HyperFun is a simple geometric modeling language for F-rep objects. F-rep stands for function representation. In F-rep, objects are described using a single real continuous function F(x1, x2, x3, ..., xn) >= 0.

Since F-rep models are more general than traditional skeletal implicit surfaces, convolution surfaces, distance-based models, CSG (Constructive Solid Geometry), sweeps, and voxel models, HyperFun can deal with all these geometric models (see [[frep:main|F-Rep page]] for more details about F-rep).

In HyperFun, F-rep objects are described using assignments, conditional selections, and iterations as in traditional programming languages. In addition to arithmetic and relational operators, HyperFun has built-in set-theoretic operators such as union, intersection, subtraction, and so on. Some predefined library primitives and operators are available in HyperFun. Using these functionalities, quite complex objects can be modeled.

===== How to get HyperFun tools? =====

You can freely download [[tools|HyperFun tools]]. Now, HyperFun Polygonizer and HyperFun for POV-Ray are available on-line. These tools can run under Windows, Linux and Unix, but only Windows versions are ready.