Sure! Here's an example of a simple generative art game implemented as a single HTML file using JavaScript. The game is played by tapping the screen on a smartphone. Please note that this is just a basic example and can be further expanded and customized based on your requirements.
In this game, pictograms are randomly generated on the canvas whenever the screen is tapped. Each pictogram is drawn with a random position and color. You can customize the list of available pictograms by modifying the `pictograms` array.
Please keep in mind that generative art can involve complex visual algorithms, so you can further enhance this example by exploring different patterns, animations, or interactive elements based on your creativity and programming skills.