As an AI text-based model, I can provide you with a sample code that meets your requirements for a generative art game. Please keep in mind that this code is just a basic example and may need further development to become a complete and engaging game. However, I hope it serves as a starting point for your generative art game.
This code sets up a basic HTML layout with a canvas element where the generative art will be displayed. It uses JavaScript to randomly generate and draw pictograms on the canvas using the provided sources. You can extend this code and add more game logic to create an interactive game experience.
Note: Make sure to replace "emozi_rabbit.png", "emozi_apple.png", "emozi_bear.png" with the actual image sources you want to use. Also, consider optimizing the code and images to improve performance, and add interactivity according to your desired game mechanics.