Hi eleven, Cenoman, tarek,
Just a couple of quick comments related to an on-going SDC / (TUVW)XY(Z)-Wing discussion
elsewhere...
Cenoman wrote:eleven wrote:37r79c9 = 7r6c9 - (7=9)r6c8 - r456c9 = 39r79c9, loop => -18r7c9, -145r9c9, -9r4c78,r5c8
I like your writing the Sue de Coq with the AHS's !
Me too, but I'd call it a
Quasi-Hidden Sue de Coq when viewed from that POV. A normal SDC is specifically a naked pattern, but this one is not purely hidden either because it's using the r6c8 cell. Then again, purely hidden variants that make sense are rare (just like pure MSHS patterns). It's easy to see that eleven's quasi-hidden variant is the most efficient possibility here (though the longest to write as a loop):
Sue de Coq:
7x7 (Rank 0): {6N8 124568N9 \ 14568c9 79b6}
(7=9)r6c8 - (9=14568'7)r124586c9 - loop
Hidden Sue de Coq:
8x8 (Rank 0): {379C9 14568B6 \ 4n7 45n8 45679n9}
(37)r79c9 = (714568-9)b6p123459 = (93)r79c9 - loop
Quasi-Hidden Sue de Coq:
4x4 (Rank 0): {379C9 6N8 \ 79b6 79n9}
(37)r79c9 = r6c9 - (7=9)r6c8 - r456c9 = (93)r79c9 - loop
All with the same eliminations: => -9 b6p125, -18 r7c9, -145 r9c9
Let me formulate it, in an other player's style: (145689)r6c89, r12458c9,
6 digits in 6 cells, none can be twice (so all must be there)
I think you missed one digit (7), so it's actually 7 digits in 7 cells.
tarek wrote:TUVWXYZ-Wing (double linked)
StrmCkr would definitely like that, and I almost like that -- but not quite
To me "wing" always implies Rank 1 (except X-Wing which is enough of a misnomer already), and looping wings should be
"rings". Thus, why not call it TUVWXYZ-
Ring? That would be a short and descriptive synonym for a 7digit-7cell Sue de Coq, clearly implying the looping (Rank 0) nature without needing the unwieldy "doubly-linked" qualifier. Another name that I would accept is "Bent Naked Septuple" (as long as its restricted to mean Rank 0 patterns only, just like the normal unbent variants).