  Using a vector field in $\mathbb{R}^4$, we provide an example of a robust
heteroclinic cycle between two equilibria that displays a mix of features
exhibited by well-known types of low-dimensional heteroclinic structures,
including simple, quasi-simple and pseudo-simple cycles. Our cycle consists of
two equilibria on one coordinate axis and two connections. One of the
connections is one-dimensional while the other is two-dimensional. We compare
our heteroclinic cycle to others in the literature that are similar in
architecture, and illustrate how the standard methods used to analyse those
cycles fail to provide sufficient information on the attraction properties of
our example. The instability of two subcycles contained in invariant
three-dimensional subspaces seems to indicate that our cycle is generically
completely unstable. Although this cycle is one of the simplest possible and
exists in low-dimension, the complete study of the stability of our cycle by
using the standard techniques for return map reduction is not possible given
the hybrid nature of the return map.
