Bees' knees! This is SOO interesting...

Here's a dumbed-down, useful article about Game of Life (for whom this is all new, like me): http://www.math.com/students/wonders/life/life.html

Thank you, RussHarben and @FableOfTheBees for pushing us forward with great insights.

More shoutouts for recent work:

Itod: Awesomely helpful posts above, especially the imgur with stills from the running bunny video.

alphabetacanary: Thank you for explaining the recent step-by-step--really necessary for those following along. I look forward to knowing what you saw in the placeholder Magic Eye pic. I still can't see it.

Micaman: Excellent sleuthing under the hood, as always.