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I find it hard to believe that no one has found these ones yet, but I scoured the wiki and could find no reference to them; Not that they would be useful for anything

C/3 35 cells
C/2 billiard table 40 cells
Edit: No not c/anything I meant P
Both patterns were discovered yesterday

henryz wrote: November 14th, 2019, 5:36 pm I find it hard to believe that no one has found these ones yet, but I scoured the wiki and could find no reference to them; Not that they would be useful for anything

[P3] 35 cells...
[P2] billiard table 40 cells...

Welcome to the conwaylife.com forums!

Unfortunately there are so many 35- and 40-cell objects that the LifeWiki would have to have billions of article pages to display them all individually. Maybe that's more a problem for still lifes (e.g., there are 5.7 billion strict still lifes with 32 bits).

The same general idea is true for oscillators, though. If there isn't anything particularly exciting to be said about a specific variant of an object, it probably won't have its own LifeWiki article. So the general article on cuphook stands in for a lot of variants with different stators but the same rotor.

Another good place to look for prior art is on Catagolue: if an object such as your 35-cell P3 has a glider synthesis, then it's definitely well-known. You can also look up small objects in Mark Niemiec's database. The P3 shows up there as "block on cuphook w/pre-block".

For things like the p4 billiard table it can be harder to find out whether an object is new or not-new. Here again there are so many easy-to-find p4s that it's pretty much hopeless to maintain an up-to-date collection of all of them... which ultimately means that it doesn't much matter if it's been seen before or not. That particular p4 I'm sure is well-known, because it will come up in a standard exhaustive lifesrc/WLS/JLS search for symmetric rotors in a 5x5 area.

Hey, welcome! These both seem to be variants of already known oscillators, specifically cuphook and washing machine respectively (though in the latter case, it's arguably slightly different in that one of the cells causing the births has been moved a bit to the outside, causing the oscillator to require stabilization via tubs).