For the graph $G$ in Figure $1,$

Figure $1$: A plane graph $G$ of $n=10$ vertices.

$($a$)$ find the Schnyder realizer $($direction and label of the inner edges$).$ Take

the outer vertices $a,b$ and $c$ as the root of tree $1,2$ and $3,$ respectively. $7$

$($b$)$ Draw the three tree of the Schnyder wood separately.

$($c$)$ Find the $3$D coordinates of each vertex.

$($d$)$ Draw the graph on the $2$D grid using the $3$D coordinates calculated

$($you can drop either the first, second or the third coordinate from each

vertex, but have to be consistent$).$