  Spin foam models are an approach to quantum gravity based on the concept of
sum over states, which aims to describe quantum spacetime dynamics in a way
that its parent framework, loop quantum gravity, has not as of yet succeeded.
Since these models' relation to classical Einstein gravity is not explicit, an
important test of their viabilitiy is the study of asymptotics - the classical
theory should be obtained in a limit where quantum effects are negligible,
taken to be the limit of large triangle areas in a triangulated manifold with
boundary. In this paper we will briefly introduce the EPRL/FK spin foam model
and known results about its asymptotics, proceeding then to describe a
practical computation of spin foam and semiclassical geometric data for a
simple triangulation with only one interior triangle. The results are used to
comment on the "flatness problem" - a hypothesis raised by Bonzom (2009)
suggesting that EPRL/FK's classical limit only describes flat geometries in
vacuum.
