The authors of the post built a basic video call demo using React and Next.js with the help of Daily, a new meta framework for building web applications. The demo uses shared contexts and custom hooks to manage devices, tracks, participants, and room state, providing a foundation for building more complex apps. The code snippets reference an older version of the examples repo prior to the release of Daily React Hooks, but any code not using Daily is still valid. The authors suggest using Daily in any React app using Daily and invite developers to fork and clone the demo repository to start building on top of it.