Sure! Here's an example of a simple generative art game implemented as a single HTML file using JavaScript. The game is designed for smartphone operation and includes pictograms.
When the game is loaded in a smartphone browser, it will create a canvas that covers the entire screen. Every time you touch the screen, it will generate a random color and a random position and then draw a pictogram (represented as a colored square) at that position on the canvas. You can continue touching the screen to create more pictograms and create your own generative art composition.