  Let $S_g$ denote the genus $g$ closed orientable surface. A \emph{coherent
filling pair} of simple closed curves, $(\alpha,\beta)$ in $S_g$, is a filling
pair that has its geometric intersection number equal to the absolute value of
its algebraic intersection number. A \emph{minimally intersecting} filling
pair, $(\alpha,\beta)$ in $S_g$, is one whose intersection number is the
minimal among all filling pairs of $S_g$. In this paper, we give a simple
geometric procedure for constructing minimal intersecting coherent filling
pairs on $S_g, \ g \geq 3,$ from the starting point of a coherent filling pair
of curves on a torus. Coherent filling pairs have a natural correspondence to
square-tiled surfaces, or {\em origamis}, and we discuss the origami obtained
from the construction.
