regular hexagon $h 1$ with side length $1$ is drawn. another hexagon whose vertices are the midpoints of $h 1$, $h 2$, is drawn. hexagons $h 3$, $h 4$, $h 5$, $h 6$, . . ., $h {2n}$ are also drawn using the same process. the area between hexagons $h 1$ and $h 2$, $h 3$ and $h 4$, . . ., $h {2n}$ and $h {2n-1}$ is shaded. as $n$ approaches infinity, what is the area of the shaded region?
