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Re:Superpermutations by g-harel on Sunday October 21, 2018 @11:21PM (#18271967)
Not sure how much it could add to the conversation, but I implemented a library to find almost minimal superpermutations in go a while back. Uses a technique I didn't see anywhere else.

https://github.com/g-harel/superpermutations

Re:Superpermutations by robinhouston on Tuesday October 23, 2018 @03:59PM (#18286888)
The technique may be different, but the results seem to be identical to what you get from the standard method e.g. described in Section 2 of http://www.njohnston.ca/wp-content/uploads/2013/03/minimal_s... or section 1 of https://arxiv.org/pdf/1408.5108.pdf; or as implemented by https://github.com/superpermutators/superperm/blob/master/bi...

This method produces superpermutations of length 1! + 2! + ... + n!, which was believed for a long time to be the best possible. But Greg Egan’s new result shows it’s possible to do a lot better than that.

Re:Superpermutations by selimthegrim on Wednesday October 24, 2018 @12:26PM (#18293863)
Re:Superpermutations by JdeBP on Wednesday October 24, 2018 @12:41PM (#18294016)
One person in the 4chan discussion suggested writing an answer at https://math.stackexchange.com/questions/15510/ .