Titanic toroidal traveler is a superstring with a 9-cell repeating segment that was first described in Lifeline Volume 4. The front part repeats as a period 16 lightspeed wave, but the detached back part is quite unpredictable. The unpredictable part is based on the pre-pulsar and is replicator-like in its behaviour, and advances at 7c/40.
A similar situation arises when the moving part of the twin bees shuttle is iterated on a cylinder of width 12, except that the pattern replicates in both directions and advances at 10c/20.
The original pre-pulsar based replicator
(click above to open LifeViewer
|Two pairs of twin bees on a cylinder of|
width 24 (click above to open LifeViewer)