  We show that there is an almost complex structure on a differential calculus
on finite points coming from a bidirected finite graph without multiple edges
or loops. We concentrate on a polygon as a concrete case. In particular, a
`holomorphic structure on the exterior bundle' built from the polygon is
studied. Also a positive Hochschild 2-cocycle on the vertex set of the polygon,
albeit a trivial one, is shown to arise naturally from the almost complex
structure.
