  For any positive integers $n, s, t, l$ such that $n \geq 10$, $s, t \geq 2$,
$l \geq 1$ and $n \geq s+t+l$, a new infinite family of regular 3-hypertopes
with type $(2^s, 2^t, 2^l)$ and automorphism group of order $2^n$ is
constructed.
