The Cantor’s Fan is a planar topological space in $\mathbb{R}^2$, constructed from the Cantor set in $[0,1]$ and inspired by the Cantor’s Teepee introduced in 1921 by Bronisław Knaster and Kazimierz Kuratowski. In this paper, we determine which properties of the Cantor’s Teepee persist in the Cantor’s Fan; we restate the main properties in contemporary language, provide complete formal proofs, and include illustrative figures.