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Bags of Self Reducing Digits

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This page contains SVG files of some of the bags of self reducing digits for each base, connected in a network graph back to the null set.  For base 2 and base 3, the nodes shown here are all of the nodes that exist.  For the other bases, the nodes shown are all of the self reducing bags of digits where the total number of digits is equal to or less than the number in parentheses (e.g. for base 4, all bags with 1,053 digits or less have been tested and the visualization shows all of the good nodes).  For the python code, and the underlying files visit the GitHub Repo.  For more information on self-reducing bags of digits and how the mathematics department is running out of numbers, check out this blog post.

Base 2 (All Nodes)

Base 3 (All Nodes)

Base 4 (1053)

Base 5 (324)

Base 6 (223)

Base 7 (124)

Base 8 (90)

Base 9 (68)

Base 10 (64)

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