Sure! Here's an example of a generative art game implemented as a single HTML file using JavaScript and enclosed in script tags. The game is designed for smartphone operation and uses pictograms for visual elements. Please note that this is a simple implementation to showcase the concept of a generative art game.
This game uses the canvas element to create a drawing area on the web page. Shapes of random sizes and colors are continuously generated on the canvas, and the user can also interact by touching the canvas on their smartphone screen to draw shapes manually. The `getRandomColor()` function generates random hexadecimal color codes for the shapes.
Please note that this is a simple example, and you can expand and modify the code as per your requirements to create a more complex generative art game.