  Kishino's knot is not detected by the fundamental group or the bracket
polynomial; these invariants cannot differentiate between Kishino's knot and
the unknot. However, we can show that Kishino's knot is not equivalent to
unknot by applying either the 3-strand bracket polynomial or the surface
bracket polynomial. In this paper, we construct two non-trivial virtual knot
diagrams, $ K_D $ and $ K_m $, that are not not detected by the bracket
polynomial or the 2-strand bracket polynomial. From these diagrams, we
construct two infinite families of non-classical virtual knot diagrams that are
not detected by the bracket polynomial. Additionally, we note these virtual
knot diagrams are trivial as flats.
