Sure! Here's an example of a simple generative art game implemented as a single HTML file using JavaScript. It can be played on a smartphone and uses pictograms for visuals:
When you open the HTML file in a browser, it will display a canvas with randomly positioned pictograms. Every time you tap/click on the canvas, new pictograms will be generated and drawn on random positions within the canvas. You can play the "game" by tapping/clicking to create new generative art patterns using the provided pictograms.