Talk:Non-transitive dice: Difference between revisions

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=== Exclude rotations? ===
== Exclude rotations? ==
If we have S < T, T < U and yet S > U then it follows we <br>
If we have S < T, T < U and yet S > U then it follows we <br>
also have T < U, U < S and yet T > S <br>
also have T < U, U < S and yet T > S <br>
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:::<pre>Out[45]: CacheInfo(hits=2148761, misses=1190, maxsize=None, currsize=1190)</pre>
:::<pre>Out[45]: CacheInfo(hits=2148761, misses=1190, maxsize=None, currsize=1190)</pre>
::: --[[User:Paddy3118|Paddy3118]] ([[User talk:Paddy3118|talk]]) 10:11, 8 September 2020 (UTC)
::: --[[User:Paddy3118|Paddy3118]] ([[User talk:Paddy3118|talk]]) 10:11, 8 September 2020 (UTC)

===Allow for excluded roations?===
;I could add the following to the task description:
: Any rotation of dice from an answer is also an answer. You may compute and show only the rotation with the "lowest sorted face numbers first". In sorting, faces numbers are compared in pairs from left to right. if current pair are the same then the next pair of face numbers are compared until there is a difference or all face numbers compare equal. E.g. A= 2, 3, 5 and B= 3, 3, 4 means A < B. C= 1, 4, 4 compares less-than both A and B due to the first face being 1. Although A, B, C do form a non-transitive list of dice, but if you elect to filter rotations then:
:# Show the rotation with the "smallest" die first, i.e. C, A, B.
:# Prominently state in the output that rotations of results are also solutions.

What do you think? --[[User:Paddy3118|Paddy3118]] ([[User talk:Paddy3118|talk]]) 10:43, 8 September 2020 (UTC)