Sure! Here's a single HTML file implementation of Conway's Game of Life using JavaScript and pictograms for a smartphone operation:
This implementation creates a grid of cells using CSS Grid and allows you to toggle cells to make them alive or dead by clicking on them. It uses a preset shape to begin with, but you can modify the `initialize` function to add different shapes if desired. The game then automatically advances generations every 500 milliseconds by applying Conway's Game of Life rules. You can use this HTML file on your smartphone to play the game.