A $ n$ -polyplet is a collection of $ n$ cells on a grid which are orthogonally or diagonally connected.
The number of $ n$ -polyplets is given by the OEIS sequence A030222: $ 1, 2, 5, 22, 94, 524, 3031, \dots$
See below the five $ 3$ -polyplets:
A polyplet will be called $ 1$ -step vanishing on Conway’s game of life, if every cell dies after one step.
We observed that for $ n\le 4$ , a $ n$ -polyplet is $ 1$ -step vanishing iff $ n \le 2$ .
We found $ 1$ -step vanishing polyplets with $ n=9, 12$ , see below:
Question: Is there an other $ 1$ -step vanishing $ n$ -polyplet with $ n \le 12$ ?
If yes, what are they? (note that there are exactly $ 37963911$ $ n$ -polyplets with $ n \le 12$ ).
We can build infinitely many $ 1$ -step vanishing polyplets with such pattern, see below with $ n=142$ :
Bonus question: Are there $ 1$ -step vanishing polyplets of an other kind?
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