Sure! Here's an example of a simple generative art game implemented as a single HTML file using JavaScript and enclosed in script tags. It will provide a basic game where the user can control a character (represented by a pictogram) on a smartphone and interact with the generated artwork.
In this game, the canvas is used to generate random artwork by drawing shapes and filling them with random colors. The user can control the character's position by touching the canvas on a smartphone screen. The character is represented by a black square in this example.
The artwork is refreshed every second using `setInterval`, and the initial artwork is drawn by calling `generateArtwork` function at the start. The touch events on the canvas update the character's position variables `characterX` and `characterY` accordingly.
Feel free to customize the code, add more features, or modify the aesthetics to enhance the game.