Sure, here's an example of a simple billiards game implemented as a single HTML file using JavaScript and enclosed in script tags. The game can be played on a smartphone and uses pictograms for the billiard balls.
Please note that the pictogram URLs provided in the code are just placeholders and you need to replace them with actual image URLs of billiard ball pictograms. Additionally, the resizing and physics of the game are not implemented in this example, and you may need to add those features for a complete billiards game.