  We construct a piecewise linear approximation for the dynamical $\Phi_3^4$
model on $\mathbb{T}^3$ by the theory of regularity structures in [Hai14]. For
the dynamical $\Phi^4_3$ model it is proved in [Hai14] that a renormalisation
has to be performed in order to define the nonlinear term. Compared to the
results in [Hai14] we consider piecewise linear approximations to space-time
white noise and prove that the solutions to the approximating equations
converge to the solution to the dynamical $\Phi^4_3$ model. The renormalisation
in this case corresponds to adding the solution multiplied by a function
depending on $t$ in the approximating equation.
