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<div style="background:#eee; border:1px solid #aaa;>The edges of a permutohedron (of any kind) are the line segments connecting each pair of permutations that differ only by an adjacent transposition, i.e., the interchange of two adjacent coordinates.</div>
This is clearly a confusion of the permutohedron with the related Cayley graph. At least to me an "adjacent transposition" is clearly one that swaps adjacent places.<br>
But in the permutohedron the edges correspond to all possible transpositions. Just the swapped values are adjacent (i.e. the swapped things ''on'' these places).<br>
[[c:Category:Permutohedron_of_order_4_(raytraced)#Permutohedron_vs._Cayley_graph|Here]] I have written what I hope to be a clarification. (Let me know if you think it's not.)
The intro should be only about the permutohedron. I will change the article accordingly. [[User:Watchduck|Watchduck]] <small>([[User talk:Watchduck|quack]])</small> 20:32, 24 January 2020 (UTC)
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