  In this paper we study the fiber body, that is the extension of the notion of
fiber polytopes for more general convex bodies. After giving an overview of the
properties of the fiber body, we focus on three particular classes of convex
bodies. First we describe the strict convexity of the fiber body of the so
called puffed polytopes. Then we provide an explicit equation for the support
function of the fiber body of some smooth convex bodies. Finally we give a
formula that allows to compute the fiber body of a zonoid with a particular
focus on the so called discotopes. Throughout the paper we illustrate our
results with detailed examples.
