Thanks @Dtrainmaster. Your suggestion was the easiest for me to try, so I did. Unfortunately I could not get the non-blinking LED to blink, it was constant while the blinking one did blink. Well, it was basically constant, I could see it dim just a little bit when the blinking one blinked.
I also confirmed that the LEDs I got in the package have enough slop in timing so as to be clearly not synchronized when I connected two together.
I'm still waiting for parts for this project so I'll probably refer to the other posts for other ideas in the near future.
Thanks again.
