  A classical result of H. S. M. Coxeter asserts that a certain quotient
$B(m,n)$ of the braid group $B(m)$ on $m$ strands is finite if and only if
$(m,n)$ corresponds to the type of one of the five Platonic solids. If ${\bf
k}$ is a knot or virtual knot, one can study similar quotients $G({\bf k}, n)$
for the corresponding knot group. We identify a class of long virtual knots
${\bf k}$ for which $G({\bf k}, n)$ is infinite for $n\ge 2$. The main feature
of these long virtual knots is that their Wirtinger complexes are
non-positively curved squared complexes.
