The Bak-Tang-Wiesenfeld (BTW) sandpile model is a cellular automaton which
has been intensively studied during the last years as a paradigm for self-o
rganized criticality. In this paper, we reconsider a deterministic version
of the BTW model introduced by Wiesenfeld, Theiler and McNamara, where sand
grains are added always to one fixed site on the square lattice. Using the
Abelian sandpile formalism we discuss the static properties of the system.
We present numerical evidence that the deterministic model is only in the
BTW universality class if the initial conditions and the geometric form of
the boundaries do not respect the full symmetry of the square lattice.