  Gordian complex of knots was defined by Hirasawa and Uchida as the simplicial
complex whose vertices are knot isotopy classes in $\mathbb{S}^3$. Later
Horiuchi and Ohyama defined Gordian complex of virtual knots using $v$-move and
forbidden moves. In this paper we discuss Gordian complex of knots by region
crossing change and Gordian complex of virtual knots by arc shift move. Arc
shift move is a local move in the virtual knot diagram which results in
reversing orientation locally between two consecutive crossings. We show the
existence of an arbitrarily high dimensional simplex in both the Gordian
complexes, i.e., by region crossing change and by the arc shift move. For any
given knot (respectively, virtual knot) diagram we construct an infinite family
of knots (respectively, virtual knots) such that any two distinct members of
the family have distance one by region crossing change (respectively, arc shift
move). We show that that the constructed virtual knots have the same affine
index polynomial.
