Awesome / Conway's Game of Life

• Many Life constructions are absolute behemoths, some of them using millions or even billions of cells. Some notable examples include:
  • Conway's Game of Life in Conway's Game of Life, brought to you by the OTCA metapixel. Now loops indefinitely.
  • The 0E0P metacell, whose very existence implies the existence of several other types of patterns simply because they are known to exist in other cellular automata.
  • Nicolas Loizeau's 8-bit programmable computer, shown here computing the Fibonacci sequence. The updated version is now scalable and includes a 32x32 pixel display.
  • Tetris in Conway's Game of Life, via the "Quest for Tetris Processor". Almost as impressive is the six-part long Stack Exchange post explaining how it was made.
    PhiNotPi: This began as a quest but ended as an odyssey.
  • Speaking of phi and pi, Adam P. Goucher's pi and phi calculators, which not only compute the two mathematical constants, but also convert them into decimal digits which are then printed as a matrix of blocks.
  • The reverse caber-tosser. Any glider synthesis, no matter how complex, can be recreated with as few as 15 gliders as of November 2022.
  • Not as large as the previous examples, but Bill Gosper's glider gun breeder, at 749x338, was massive for a time when pen-and-paper was the dominant method of simulating Life patterns. Also notable for being the first pattern ever found to exhibit quadratic growth.
  • Dean Hickerson's primer, which outputs spaceships if and only if they correspond to a prime number. Later derivatives output only twin primes and Fermat primes respectively.
  • Self-supporting spaceships are typically thousands of cells long. Early ones (e.g., caterpillar, centipede, waterbear) were powered by specific reactions moving at fixed speeds, but with the invention of the caterloopillar in 2016, it is now possible to create a spaceship for an arbitrary speed.
• "Self-cleaning" glider syntheses, where a glider is spat out in just the right position to get rid of some, if not all, of the unwanted debris.

---