A genus zero dessin d'enfant (or simply dessin) is a planar graph that encodes a map from the Riemann sphere to itself unramified outside 3 points and there is a (faithful) action of the absolute Galois group of the rationals on dessins. We will explain how dessins can be visualized and explore the Galois action through enumerated examples in the L-functions and modular forms database (LMFDB).