User:Entity Valkyrie 2/StateInvestigator/fng-eaters
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The first natural glider can be eaten in various way to allow independent Herschel conduits to function at lower repeat times. If the FNG is not eaten, then the lower bound of the repeat time of the conduit is 69. In Life, this can be reduced to 63 with an eater 1, 61 with an eater 2, and 57 with an eater 5.
In StateInvestigator, there are ways to eat the FNG to achieve even lower repeat times. The most frequently used is a single state 5 cell (in the position of the middle isolated dot of the Herschel great-grandparent, reducing the repeat time to 49. This was thought to be the lowest possible repeat time for independent Herschel conduits for a time, until November 4, 2021, where Entity Valkyrie discovered FNG eaters with repeat times of 42 and 35.[1]
The FNG eaters with repeat times 54 (by Entity Valkyrie)[2] and 39 (by hotcrystal0)[3] were intended for Symbiosis instead, though they are also functional in StateInvestigator, and finally, on September 23, 2023, Entity Valkyrie discovered a simple FNG eater which allows a repeat time of 34, the lowest possible repeat time for independent Herschel conduits.[4]
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Even though the FNG is eaten, there are still ways to extract gliders from Herschels in passing at such low periods without the spark-to-glider. One way to achieve this is shown above, where a constellation of five cells replaces the eater 1 placement in conduits like F117. The middle of the three state 5 cells is only required for repeat times 35 or lower — for a higher repeat time, this cell is unnecessary. Another way to achieve this is to replace the B-suppressing block+eater combo in L112 with a single state 3 cell, which instead converts the B into a glider. Both of these methods are demonstrated in the repeat-time-34 Lx73 conduit on the right (which is L112 but with the BFx59H replaced with BF20H).
References
- ↑ Entity Valkyrie (November 4, 2021). Re: Extended Life Extensions (discussion thread) at the ConwayLife.com forums
- ↑ Entity Valkyrie (November 9, 2020). Re: Symbiosis (discussion thread) at the ConwayLife.com forums
- ↑ hotcrystal0 (June 25, 2023). Re: Symbiosis (discussion thread) at the ConwayLife.com forums
- ↑ Entity Valkyrie (September 23, 2023). Re: Extended Life Extensions (discussion thread) at the ConwayLife.com forums