  We give an explicit simplicial model for the Hopf map S^3 -> S^2. For this
purpose, we construct a model of S^3 as a principal twisted cartesian product K
x_{eta} S^2, where K is a simplicial model for S^1 acting by left
multiplication on itself, S^2 is given the simplest simplicial model and the
twisting map is eta:(S^2)_n -> (K)_{n-1}. We construct a Kan complex for the
simplicial model K of S^1. The simplicial model for the Hopf map is then the
projection K x_{eta} S^2 -> S^2.
