These are some results of the enumerations described in the paper "Some enumerations of binary digital images" by Chris Staecker. Visit the parent page for code and a machine-readable version of this list, and to see the other lists of enumerations.
Here are the total counts for the images, where n is the number of points. Only connected images are listed.
n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
---|---|---|---|---|---|---|---|---|---|
Total images | 1 | 1 | 2 | 6 | 21 | 112 | 853 | 11117 | 261080 |
Pointed-irreducible images | 1 | 0 | 0 | 0 | 1 | 2 | 9 | 68 | 1110 |
Irreducible images | 1 | 0 | 0 | 0 | 1 | 1 | 3 | 28 | 547 |
Rigid images | 1 | 0 | 0 | 0 | 0 | 0 | 2 | 26 | 544 |
The first row above is simply the counts for the total number of connected simple graphs (OEIS A001349). The pictures below include only the pointed-irreducible images.
In each image a minimal irreducible subset is colored blue.
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