The type of programming that involves writing code that writes code is known as metaprogramming. This technique allows developers to create programs that can manipulate or generate code as part of their execution. Metaprogramming is used to automate repetitive tasks, increase flexibility, and enhance the adaptability of software solutions. It leverages principles from both compiler design and runtime environments, enabling higher levels of abstraction in software development. Languages such as Ruby, LISP, and even JavaScript support metaprogramming, making it a powerful tool in the developer's toolkit.