  Octonions are 8-dimensional hypercomplex numbers which form the biggest
normed division algebras over the real numbers. Motivated by applications in
theoretical physics, continuous octonionic analysis has become an area of
active research in recent year. Looking at possible practical applications, it
is beneficial to work directly with discrete structures, rather than
approximate continuous objects. Therefore, in previous papers, we have proposed
some ideas towards the discrete octonionic analysis. It is well known, that
there are several possibilities to discretise the continuous setting, and the
Weyl calculus approach, which is typically used in the discrete Clifford
analysis, to octonions has not been studied yet. Therefore, in this paper, we
close this gap by presenting the discretisation of octonionic analysis based on
the Weyl calculus.
