Metamaterials are artificial materials engineered to provide properties not found in nature. They derive their properties from their structure rather than composition. Metamaterials can create negative indexes of refraction and guide waves in desired directions. They have applications in antennas, invisibility cloaking, and frequency selective surfaces. The document discusses the history and types of metamaterials, including electromagnetic and acoustic varieties. It outlines previous work on cubic metamaterials and the presenter's objectives to further explore their properties and applications through modeling and simulation.