Multi-stable structures are objects with more than one stable conformation, exemplified
by the simple switch. Continuum versions are often elastic composite plates or shells,
such as the common measuring tape or the slap bracelet, both of which exhibit two
stable configurations: rolled and unrolled. Here, we consider the energy landscape of a
general class of multi-stable anisotropic strips with spontaneous Gaussian curvature. We
show that while strips with non-zero Gaussian curvature can be bistable, and strips
with positive spontaneous curvature are always bistable, independent of the elastic
moduli, strips of spontaneous negative curvature are bistable only in the presence
of spontaneous twist and when certain conditions on the relative stiffness of the
strip in tension and shear are satisfied. Furthermore, anisotropic strips can become
tristable when their bending rigidity is small. Our study complements and extends the
theory of multi-stability in anisotropic shells and suggests new design criteria for these
structures.