  For a two parameter family of two-dimensional piecewise linear maps and for
every natural number $ n $ we prove not only the existence of intervals of
parameters for which the respective maps are $ n $ times renormalizable but
also we show the existence of intervals of parameters where the coexistence of
at least $ 2^n $ strange attractors takes place. This family of maps contains
the two-dimensional extension of the classical one-dimensional family of tent
maps.
