Sure, here's an example of a simple generative art game implemented as a single HTML file using JavaScript. The game will display randomly generated pictograms, and the player can interact with them by tapping on the screen. Each tap will generate a new pictogram at a random position.
When you open this HTML file in a smartphone browser, you'll see the canvas, and each tap on the screen will generate a random pictogram at a random position on the canvas. The game continuously generates new pictograms as you interact with it. Feel free to modify and enhance the code to fit your desired game mechanics and visual style.