The Standard Model of Elementary Particle Physics is an amazing and beautiful achievement of theory, experiment and technology, explaining the foundations of Physics in terms of three out of four interactions, considered fundamental. Classification of Finite Simple Groups is too, an amazing achievement in Mathematics. Recent advancements in the understanding of SM lead to an unexpected "encounter" between the two: lepton masses are related to the Monster and VOAs, via j-invariant of elliptic curves ... under The Moonshine. But there is a "contender": Platonic and Archimedean solids (models for baryons, like the proton and neutron) can be represented as Dessins d'Enfant, introduced by Grothendieck in the 1960s, using Belyi maps! Who will win the heart of the Beauty? The main concepts will be defined and pictures will help bring the subject to the understanding of a general audience.