3 ms·
Every finite phoenix has period 2
- arrowsmith 3y agoFrom the title I thought this was going to be some nerdy math joke about phoenixes being reborn from the ashes through some periodic cycle.
- klyrs 3y agoOnly... that's exactly what this is. Perhaps it isn't a "joke," but names in math are frequently chosen with whimsy.
- moi2388 3y agoSaved you a click: A phoenix is an oscillator in Conway’s Life where every cell dies in every generation. The smallest example is Phoenix 1, which oscillates with period 2 and has a constant population of 12: All known finite phoenices have period 2, and Stephen Silver proved in 2000 that there cannot exist a finite phoenix of period 3. Alex Greason more recently proved the non-existence of any phoenix (finite or infinite) with period 3 or 5.
- poderosoTOTO 3y ago[flagged]
- poderosoTOTO 3y ago[flagged]