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Are we getting close to being able to construct ships which travel at any rational speed we specify (less than the speed limit)? It seems like this ship is very close, except that it needs to be able to zig and zag different amounts.

Macbi wrote: March 9th, 2022, 11:30 am Are we getting close to being able to construct ships which travel at any rational speed we specify (less than the speed limit)? It seems like this ship is very close, except that it needs to be able to zig and zag different amounts.

No.
For zig-zaging different amounts there is a need to duplicate the recipe once more. I don't know if the current recipe has enough space to allow one more duplication. But even if it does, the possible speeds achievable would be everything below (m,n)c/(4*max(m,n)).
There is still a lot of work to do to construct omniship. It would need to consist of diagonal limit-achieving part (everything is ready here) and orthogonal limit-achieving part (there is a need to research xWSS universal construction).

How about 15-gliders SMOS?

g0t0 wrote: Today, 2:12 am How about 15-gliders SMOS?

It's a common request in the Construction Challenges and Ideas thread. Most recently addressed here, I think, though it may have come up again once or twice.