  One of the most famous results in Complex Analysis is the Little Picard
Theorem, that characterizes the image set of an arbitrary entire function.
Specifically, the theorem states that this image set is either the whole
complex plane or the whole complex plane except a point. The traditional proofs
for the theorem involve technical tools such as either modular functions,
Harnack's inequality, Bloch and Landau theorems... The previous fact makes the
Little Picard Theorem to be often presented at initial courses on Complex
Analysis without a proof. This manuscript provides a short and visual proof by
only using basic concepts that are covered in any standard course on Complex
Analysis. In fact, the essence of the proof is a good understanding of
composition of the complex exponential map with itself and its underlying
geometrical properties.

General Mathematics