This document provides information about types of corals and coral reef formation. It discusses three main types of corals: hydrozoan, octocorallian, and hexacorallian corals. It also describes the three types of coral reefs: fringing reefs, barrier reefs, and atoll reefs. Finally, it summarizes Darwin and Dana's subsidence theory of atoll formation, which explains how atolls are formed from the subsidence of volcanic islands over time as coral growth keeps pace with sea level rise.