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::There is a comment on Commons that adds a new flavor of confusion to this topic: [[c:Category talk:Permutohedron of order 4 (raytraced)]] I don't think the claim that the "transposition that swaps the first, second, or final pair changes from vertex to vertex" makes sense, but maybe someone else gets what Adam is trying to say. [[User:Watchduck|Watchduck]] <small>([[User talk:Watchduck|quack]])</small> 11:36, 11 March 2020 (UTC)
== This cannot be accurate ==
One sentence reads:
"''More generally, V. Joseph Bowman (1972) uses that term for any polytope whose vertices have a bijection with the permutations of some set.''"
So, any polytope with exactly n! vertices would then be called a permutohedron???
Either 1) there is more to what Bowman (1972) proposes, or else 2) this fact is so incompatible with intelligent geometry that it does not belong in the article.[[Special:Contributions/216.161.117.162|216.161.117.162]] ([[User talk:216.161.117.162|talk]]) 19:10, 26 September 2020 (UTC)
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