We define the \h{Cantor Fan}
$F_{C}=\cup \{ve : e \in C\}$, where $ve$ is the
segment joining $v=(1/2,1)$ with all points
$e$ in the \g{Cantor Ternary Set} $C$.
We consider $F_{C}$ as a subset of the
Euclidean plane with the induced topology.
See \cite[p.9]{ccm1990}.