Do all patterns have a 1-cell-thick-parent? (This includes junk that doesn't interfere with said pattern- for example, since a one cell thick is vertically symmetrical, what's above is the same as what's below.)

One-cell-thick patterns can cleanly create gliders for syntheses, etc, so I was thinking we could make a thread for the most interesting ones.

One-cell-thick infinite growth:

`x = 39, y = 1, rule = 23/3`

8ob5o3b3o6b7ob5o!

What do we want to accomplish with one-cell thick patterns?

To start, glider syntheses would work, so we have a few questions:

1) What is the smallest one-cell-thick pattern that creates gliders?

2) What is the smallest one-cell-thick pattern that is a PURE glider generator (that is, creates gliders and nothing else?)