$5($a$)$ See the top view of a scene in Figure for Q$.$ No$.5($a$)$ where surface normal is shown for each polygon face. Here, $AB||CD||HI.$ Similarly, $AF||BE,$ and $CE||GD,$ and FH $|$ GI $($the symbol$)||$ stands for parallel$)AB$ and $CD$ lie in the same plane, that is$,$ coplanar. Extension of $CE$ intersects at $F$ and ext$$nsion of $BE$ intersects at $G.$

$($i$)$ Construct a BSP tree considering $AB$ as root. Consider the dotted line as the first division of the region.

$($note: When a polygon $P$ is selected at node $N$ for dividing the area into two half spaces, if there is any other polygon which lies in the same plane as $P($neither at the front nor at the back of $P),$ then insert that polygon into the same node $N$ as $P.)$

$($ii$)$ For the viewing direction shown in figure, write down the order of displaying the polygons.