Q:

Graph Theory: Find a $K_{3,3}$ subdivision to this graph

This is my first post here, so I apologise in advance if some formatting is wrong. 
In my graph theory class today we were challenged to find a $K_{3,3}$ (complete bipartite graph) homeomorphic to this . 
I've tried to redraw, subdivide edges, and smooth some out, but I can't seem to find it.  I'd appreciate any guidance or hints regarding which part to look at. 

A:

Let $\{h,e,b\}$ be set 1, and $\{c,g,a\}$ be set 2. 

$b$ is directly connected to $c,g$ and $a$.
$e$ is directly connected to $g$ and $a$, and is connected to $c$ via $d$.
$h$ is directly connected to $c$ and $g$, and is connected to $a$ via $f$.

