  The quantum geometry arising in Loop Quantum Gravity has been known to
semi-classically lead to generalizations of length-geometries. There have been
several attempts to interpret these so called twisted geometries and understand
their role and fate in the continuum limit of the spin foam approach to quantum
gravity. In this paper we offer a new perspective on this issue by showing that
the twisted geometry of a 4-simplex can be understood as arising from an
area-metric (in contrast to the more particular length-metric). Such
equivalence allows us to define notions like signature, generalized triangle
inequalities and parallel transport for twisted geometries (now understood in a
4-dimensional setting), exemplifying how it provides a new handle to understand
them. Furthermore, it offers a new microscopic understanding of spin foam
geometries which is notably supported by recent studies of the continuum
effective dynamics of spin foams.
