UNITARY‐SYMMETRYtheories have had great success in the classification of particles in group‐theory representations and the prediction of the dimensions of these representations. Yet many particle physicists now believe that symmetry‐breaking effects of a given symmetry scheme, by mediumstrong, electromagnetic and weak interactions, are their most beautiful feature. Mass spectra and selection rules for transitions can be derived from these effects; so that we are taken into the heart of the physics. Quarks, or other triplets, are still hiding from experimenters; it is to group‐theory studies that we look for information on their probable properties and the best places to look for them. Group theory is also required to assign the higher baryon and meson resonances (figures 1 and 2) into their classification schemes.