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Aug 9, 2021 at 14:32 comment added user44143 The 8-ary relation above is longer than the 6-ary one that I used in the answer, but has the advantage of being doubly transitive.
Aug 9, 2021 at 7:07 vote accept Noah Schweber
Aug 9, 2021 at 7:04 answer added user44143 timeline score: 6
Aug 9, 2021 at 6:48 comment added Noah Schweber @MattF. Oh yes that's enough (it's late, I'm tired :P). Looks like that works! Now I wonder if there's a snappy characterization of "parametrically equivalent to a point-transitive structure" after all ...
Aug 9, 2021 at 6:43 comment added user44143 How about the rationals with the 8-ary relation (a-b)(c-d)=(e-f)(g-h)? Then -y is the unique e such that (y-0)(0-1)=(e-0)(1-0); x+y is the unique e such that (x-(-y))(1-0)=(e-0)(1-0); and xy is the unique e such that (x-0)(y-0)=(e-0)(1-0).
Aug 9, 2021 at 6:26 history edited Noah Schweber CC BY-SA 4.0
added 216 characters in body; edited title
Aug 9, 2021 at 6:22 history edited Noah Schweber CC BY-SA 4.0
added 216 characters in body; edited title
Aug 9, 2021 at 3:57 history asked Noah Schweber CC BY-SA 4.0