The relationship between income and growth rates has been an elementary problem of research on economic convergence. In the present paper, we study growth-income paths in a new perspective. We assess the similarities of transitional growth trajectories with the use of novel concept-based model. Further, we group economies on the basis of the assessed similarities and we evaluate within-group growth-income relationships. The obtained results point to distinct patterns of development, which help to understand the puzzles of absolute convergence and divergence. Among others, we find evidence of a humped-shaped path of long-run transitional growth. Simultaneously, we identify countries which got stuck in poverty and in the middle-income trap.