Apollonian network

An Apollonian network is a type of geometric network formed by starting with a triangle. New vertices are added by creating new triangles within the existing structure, each time connecting to existing points. This process continues, producing a highly connected and often fractal-like network. Apollonian networks are interesting because they exhibit unique properties, such as resilience to damage and efficiency in communication. They are used in various fields, including computer science, physics, and social networks, to model complex systems and understand how connections evolve over time.