  This paper introduces the notion of an unravelled abstract regular polytope,
and proves that $\SL_3(q) \rtimes <t>$, where $t$ is the transpose inverse
automorphism of $\SL_3(q)$, possesses such polytopes for various congruences of
$q$. A large number of small examples of such polytopes are given, along with
extensive details of their various properties.
