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Refactor questions about solutions in Sicherman Dice

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Rephrase questions regarding solutions for composite and perfect square numbers.
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Peter Norvig
2026-09-02 16:56:45 -07:00
committed by GitHub
parent 708e128e23
commit 19d2b079e2
1 changed files with 1 additions and 2 deletions
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ipynb/Sicherman Dice.ipynb
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@@ -1751,10 +1751,9 @@
"\n", "\n",
"- Do all composite *N* have solutions?\n", "- Do all composite *N* have solutions?\n",
"- Does any prime *N* have a solution?\n", "- Does any prime *N* have a solution?\n",
"- Do some *N* have more than the 3 solutions that 8 has?\n",
"- Does the fact that 8 has 3 solutions have anything to do with the fact that 8 is a perfect cube?\n", "- Does the fact that 8 has 3 solutions have anything to do with the fact that 8 is a perfect cube?\n",
"- What about the 7 solutions for 12? 12 has 6 factors; does that matter?\n", "- What about the 7 solutions for 12? 12 has 6 factors; does that matter?\n",
"- The 9 perfect squares, 4 and 9, have 1 solution each; is that true of all perfect squares?\n", "- The perfect squares 4 and 9 have 1 solution each; is that true of all perfect squares?\n",
"- Could we make this 10 times faster? 100 times?\n", "- Could we make this 10 times faster? 100 times?\n",
"- Could we handle greater values of *N* if we worked with [generating functions](https://en.wikipedia.org/wiki/Sicherman_dice)?\n", "- Could we handle greater values of *N* if we worked with [generating functions](https://en.wikipedia.org/wiki/Sicherman_dice)?\n",
"- What about Sicherman triples (3 nonstandard dice with the same distribution of sums as 3 standard dice)?\n", "- What about Sicherman triples (3 nonstandard dice with the same distribution of sums as 3 standard dice)?\n",