A. Emergency of the Hypercycle.- I. The Paradigm of Unity and Diversity in Evolution.- II. What Is a Hypercycle?.- III. Darwinian System.- IV. Error Threshold and Evolution.- B. The Abstract Hypercycle.- V. The Concrete Problem.- VI. General Classification of Dynamic Systems.- VII. Fixed-Point Analysis of Self-Organizing Reaction Networks.- VIII. Dynamics of the Elementary Hypercycle.- IX. Hypercycles with Translation.- X. Hypercyclic Networks.- C. The Realistic Hypercycle.- XI. How to Start Translation.- XII. The Logic of Primordial Coding.- XIII. Physics of Primordial Coding.- XIV. The GC-Frame Code.- XV. Hypercyclic Organization of the Early Translation Apparatus.- XVI. Ten Questions.- XVII. Realistic Boundary Conditions.- XVIII. Continuity of Evolution.- References.