  An analytic formula is given for the three-point energy correlator (EEEC) at
leading order (LO) in maximally supersymmetric Yang-Mills theory
($\mathcal{N}=4$ sYM). This is the first analytic calculation of a
three-parameter event shape observable, which provides valuable data for
various studies ranging from conformal field theories to jet substructure. The
associated class of functions define a new type of single-valued polylogarithms
characterized by 16 alphabet letters, which manifest a $D_6 \times Z_2$
dihedral symmetry of the event shape. With the unexplored simplicity in the
perturbative structure of EEEC, all kinematic regions including collinear,
squeezed and coplanar limits are now available.
