I wrote:Here is my current list of small unbuildables ... 23 P7 oscillators up to 29 bits ...

Sokwe wrote:These are all variants of burloaferimeter. Three non-burloaferimeter p7 oscillators have known syntheses:

I know about these. I had 9 28-bit ones: 7 burloaferimeter stator variants plus 2 others (and now the new one found yesterday). I had 49 29-bit ones: 48 burloaferimeter stator variants plus 1 stator variant of one of the misc 29-bit ones (plus two new stator variants of yesterday's).

Sokwe wrote:but what about the following p7 oscillators up to 29 bits? ...

You're right! I forgot the obvious carrier, python, and eater variants of the symmetrical 28. (I feel embarrassed, because I usually enumerate those, because it's very easy). I didn't know about table version of the asymmetrical 28, and hadn't considered other ones either. I deduced the first two of yesterday's (and these have partial syntheses needing +2 and +3 gliders based on the 28-bit one), but I hadn't considered the last two.

I enumerate stator variants by hand, and it becomes easier to miss some the larger the list becomes. Is there a search program specifically geared towards finding stator variants? I think that would be much easier than searching for oscillators (i.e. given a rotor core, do an exhaustive search for all possible bushing cells, then for for one row around the bushing, casing cells that support that bushing, then a normal still-life search for the rest of casing).

I wrote:14 P8 oscillators up to 32 bits ...

Sokwe wrote:You only included stator variants of R2D2. There are many stator variants up to 32 bits of the following three oscillators: ... I presume most of them do not have known syntheses. By the way, the sources of the second and third p8 are here and here respectively.

I remember seeing the first one somewhere. I saw the second one and mostly ignored it, as I have only been attempting to systematically keep track of odd oscillators up to 32 bits, and/or ones for which syntheses are known. I have only the vaguest recollection of the third one.

I wrote:7 P4 oscillators up to 25 bits ...

Sokwe wrote:There is a new 25-bit p4 oscillator found by Tanner Jacobi: ...

Yes, I know about this one, but it was found very recently, and my post is much older than that. It's too bad that this one doesn't have a synthesis yet.

Thanks for bringing all of these to my attention!