I wrote a Bash script using the full capability of Bash features. I was motivated by @ytaki0801 posting a script of Conway's Game of Life in POSIX sh on Twitter. They also have implementations in other languages.
I was afraid that the resulting program would run very slowly, so I chose an implementation by the bit vector representing the states of 64 cells per integer. The Bash implementation turned out to be much faster than I expected, but it should be noted that this good performance owes to the choice of the algorithm but not to the Bash features.