Q: The call was "in your block, beau tie". Or was it belle tie? You didn't quite hear it. What should you do?
For reference, the definition of "<anyone> tie" from Bill Ackerman's C4 book 1 is "Often from a completed DPT: all Peel Off. Then the original designees Couples Circulate and Bend the Line, while the others Bend the Line and Couples Circulate."
[Spoilers below!]
A: My answer is "peel off, bend the line, and couples circulate" - that is, act like you were not designated. I would also say that you should check that your starting block looks like a miniwave box.
I'd say figuring this out was a mixture of a key realization and some tedious casework. You might save yourself some casework if you know "<anyone> tie" really well. My realization was that the Blocks concept must be applied only to calls that start and end in 2x2 formations. At this point, I did casework. There are really just two 2x2 starting formations to consider from which you can do "tie": tandem couples, and a miniwave box. From each of these, you have to consider beau tie and belle tie. I will show these cases below, adding another box on to show what happens when the 2x2s don't work within themselves.
From tandem couples:
3B^ 3G^
2B^ 2G^
4GV 4BV
1GV 1BV
belle tie
1G> 2B>
4G> 3B>
1B< 2G<
4B< 3G<
OR
beau tie
2G< 1B<
3G< 4B<
2B> 1G>
3B> 4G>
From a (RH) miniwave box
2B^ 2GV
3G^ 3BV
1B^ 1GV
4G^ 4BV
belle tie
3B< 3G>
2G< 2B>
4B< 4G>
1G< 1B>
OR
beau tie
2G> 4B<
3B> 1G<
3G> 1B<
2B> 4G<
This work shows that only one of these cases would be legal from blocks: belle tie from a RH miniwave box (everyone is a beau). From symmetry, we can tell that beau tie from a LH miniwave box (everyone is a belle) would be legal as well. Therefore if the call was legal, even if you didn't hear the <anyone>, you should assume you were not one of the designees, and act accordingly.
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