Exactly - this is 24 separate 2 dimensional Games of Life overlaid on each other for visual effect.
To be 24 dimensional, the rules would have to be quite different: at each turn of the game, instead of just considering each cell's 8 neighboring cells on a 2d grid, there'd be 11 additional 2d grids (perhaps represented by different colors), and you'd evaluate the 8 neighboring cells on each of the 11 other 2d grids, iteratively, once for each of the 12 grids. Likely this would not run particularly quickly in a browser (or anything else) for any interestingly large field.
