Sure! I can help you create a simple generative art game using JavaScript in a single HTML file. Here's an example implementation for you to play as a finished game:
To play the game, open the HTML file in a web browser, preferably on a smartphone. The game will generate a random generative art composition using various shapes and colors. Each time you refresh the page, a new random art will be generated.
Please note that this is a basic implementation. You can modify and enhance it further based on your preferences and requirements.