  Despite decades of studies on the grand problem of the glass transition the
question of well-defined universal patterns, including the key problem of the
previtreous behavior of the primary (structural) relaxation time, remains
elusive. This report shows the universal previtreous behavior of the apparent
fragility, i.e. the steepness index . It is evidenced that , for and . Basing
on this finding, the new 3-parameter dependence for portraying the previtreous
behavior of the primary relaxation time has been derived: . The universality of
obtained relations is evidenced for glass formers belonging to low molecular
weight liquids, polymers (melt and solid), plastic crystals, liquid crystals,
resins and relaxors. They exhibit clear preferences either for the VFT or for
the critical-like descriptions, if recalled already used modeling. The novel
relation can obey even above the dynamic crossover temperature, with the power
exponent ranging between ~17 (liquid crystals) to ~ 57 (glycerol), what may
indicate the impact of symmetry on the previtreous effect. Finally, the
emerging similarity to the behavior in the isotropic phase of nematic liquid
crystals is recalled.
