I was screwing around in a Life program where I could change the rules. I tried out a few sets of rules with nothing interesting, then came across 34/3 and decided to see what would come up with some random patterns. The only things that seemed to show up were blocks, and an oscillator that looked something like this.
Watching it, I discovered that it turned into this...
That's right, the R-pentomino is an oscillator in these rules. I found that it was period-16, but it also rotated 90 degrees every four generations.