How do you know that a pattern is a Garden of Eden ?

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
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BokaBB
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How do you know that a pattern is a Garden of Eden ?

Post by BokaBB »

How can you find that ?
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Sokwe
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Re: How do you know that a pattern is a Garden of Eden ?

Post by Sokwe »

BokaBB wrote: May 23rd, 2022, 4:18 am How can you find that ?
The easiest way to check if a pattern is an orphan is probably to use JLS to prove that it has no predecessors.
  1. Set the period to 2 and place (you can use copy and paste) your suspected orphan in the center of the JLS search area of gen. 1 (note: the generations are labeled "gen. 0" and "gen. 1") surrounded by unchecked cells (to get unchecked cells, highlight an area and press 'u').
  2. In gen. 0, set all cells unchecked except for the cells inside a 1-cell boundary around the location of your suspected orphan.
  3. Click "Search->Options" and go to the "sorting" tab. Set the starting column and row to be the center of your suspected orphan and select the "circle" sort order. Click "Ok".
  4. Click "Search->Start" and wait for the search to either complete with no solutions (in which case you have an orphan), or for the search to find a predecessor.
-Matthias Merzenich
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