3 ms·
For those on a command-line, the Game of Life configuration looks like a series of rows of squares. 3 on the first row, 5 on the second row, 5 on the third row,
by peterburkimsher 5y ago
For those on a command-line, the Game of Life configuration looks like a series of rows of squares. 3 on the first row, 5 on the second row, 5 on the third row, then 3 on the last row. There are a total of 3 + 5 + 5 + 3 = 16 squares.
The fact that this is a base 2^n number seems intriguing to me. There's a hypothesis that everything in the universe is easier in base 2, which I'm still looking into.
Here's another speculative hypothesis, which some expert here can most likely prove.
Can this "Godlike still-life" create every other configuration, using an off-by-one error in 1 bit?
Specifically, taking the 306-cell Törmä-Salo result, can all the Still Lifes, Oscillators, and Spaceships be achieved simply by flipping 1 bit (obviously a different bit for each configuration) in the original?
There's a (non-exhaustive, I think) collection of patterns on Wikipedia:
https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life#Examples_of_patterns https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life#Exampl...
- q1w2 5y agoMaybe it works out in base-2 because it's on 2 dimensions? ...and maybe the universe has some weird base-primes system because it actually have infinite dimensions.
- peterburkimsher 5y agoIs the universe infinite? "Two things are infinite: the universe and human stupidity; and I’m not sure about th’universe!" -- Maybe Einstein. https://quoteinvestigator.com/2010/05/04/universe-einstein/ https://quoteinvestigator.com/2010/05/04/universe-einstein/ Prime numbers look a lot like stars (e.g. Converse, Heineken use 5-pointed stars). I'm particularly interested in Mersenne Primes, which are of the form 2^n - 1. https://en.wikipedia.org/wiki/Mersenne_prime#:~:text=In%20mathematics%2C%20a%20Mersenne%20prime,so%20is%202n%20%E2%88%92%201 https://en.wikipedia.org/wiki/Mersenne_prime#:~:text=In%20ma.... Some of these prime numbers are even illegal when translated to other forms (e.g. DeCSS). https://en.wikipedia.org/wiki/Illegal_number#Illegal_primes https://en.wikipedia.org/wiki/Illegal_number#Illegal_primes