  The Hypercube operator determines a variant of the approximate, truncated
perfect fermion action. In this pilot study we are going to report on first
experiences in dynamical QCD simulations with the Hypercube fermions. We apply
this formulation in an investigation of the finite temperature transition for
two flavours. On lattices of size $8^3\times 4$ we explore the phase diagram.
Physical scales are estimated from pseudoscalar and vector meson masses
obtained on $8^3\times 16$ lattices. We observe the presence of a metastability
region but do not find evidence for an Aoki phase. The Hypercube operator
allows us to simulate at ratios of pseudoscalar to vector meson masses at least
as small as 0.8 at the thermal crossover at $N_t=4$, which renders this
formulation cheaper than the Wilson like fermions.
