The document discusses various methods of chemical self-replication, including ligation-based systems using hexadeoxynucleotides, RNA ligase, and peptides that have demonstrated exponential or near-exponential amplification. It also describes cleavage-based self-replication by ribozymes, compartmentalization-based systems using reverse micelles and encapsulated reagents, and conformation-based systems like hybridization chain reactions and prion-like protein aggregation. The document concludes that while examples of classic template-directed ligation self-replication have been achieved, more work is still needed to improve catalytic efficiencies and explore new forms and applications of chemical self-replication.