Offset Triple Boxes

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This concept has 3 distorted 2x2 boxes in a 2x8 matrix. The "shear line" is parallel to the overall 2x8. Each box is offset by 100% across its own shear line. An Offset Triple Boxes concept apportions the 3 boxes according to one of these two diagrams:

\sdform{\danc b@. , \danc b@. , \danc bX. , \danc bX. , \danc b#. , \danc b#. , \danc .+. , \danc .+. \cr\danc .+. , \danc .+. , \danc b@. , \danc b@. , \danc bX. , \danc bX. , \danc b#. , \danc b#. \cr} \sdform{\danc .+. , \danc .+. , \danc b@. , \danc b@. , \danc bX. , \danc bX. , \danc b#. , \danc b#. \cr\danc b@. , \danc b@. , \danc bX. , \danc bX. , \danc b#. , \danc b#. , \danc .+. , \danc .+. \cr}
@ + @ + X @ X @ # X # X + # + # + @ + @ @ X @ X X # X # # + # +
this or this


As with other offset or parallelogram concepts, the actual population of live people determines which way the offset goes. But in this case it's trickier, because there are only 8 real people, so some of the 12 spots labeled "@", "X", and "#" will not be occupied. The rule is that the occupation by real people must unambiguously determine one or the other of the two cases above. A plain 2x4 would be ambiguous, for example. But this:

\sdform{\danc b1e , \danc .+. , \danc b2e , \danc g1e , \danc g2e , \danc .+. \cr\danc .+. , \danc g4w , \danc g3w , \danc b4w , \danc .+. , \danc b3w \cr}
1 + + 4 2 3 1 4 2 + + 3


is sufficient to determine that the diagram on the left applies. Legal calls include non-shape-changing 2x2 calls:

\sdform{\danc .+. , \danc .+. , \danc b4n , \danc g4n , \danc .+. , \danc g1n , \danc .+. , \danc b1s \cr\danc b3n , \danc .+. , \danc g3s , \danc .+. , \danc g2s , \danc b2s , \danc .+. , \danc .+. \cr} \sdform{\danc .+. , \danc .+. , \danc b3e , \danc b4e , \danc .+. , \danc g3e , \danc .+. , \danc g2e \cr\danc g4w , \danc .+. , \danc g1w , \danc .+. , \danc b2w , \danc b1w , \danc .+. , \danc .+. \cr}
+ 3 + + 4 3 4 + + 2 1 2 + + 1 + + 4 + + 3 1 4 + + 2 3 1 + + 2 +
before offset triple boxes stack the line after


Calls that go to a 1x4 oriented perpendicular to the original long axis of the set are also legal:

\sdform{\danc .+. , \danc .+. , \danc b3e , \danc b4e , \danc .+. , \danc g3e , \danc .+. , \danc g2e \cr\danc g4w , \danc .+. , \danc g1w , \danc .+. , \danc b2w , \danc b1w , \danc .+. , \danc .+. \cr} \syhBBBBs{.+.,.+.,b4w,.+.,g3w,.+.,g2w,b1e}
+ 4 + + 3 1 4 + + 2 3 1 + + 2 + + + + + 4 2 + + 3 1 + + 2 4 1 3
before offset triple boxes peel and trail after


The result in this case is 3 1x4 formations, each offset by one matrix position, which is 100%. The overall result is a 4x4 matrix. This interpretation fits well with the Offset Triple Waves concept, described next. One can use the "Working Forward/Back/etc." designators with this concept. The Offset Triple Boxes concept is the successor to the old "Parallelogram Triple Boxes" concept, which had been defined in such a way that the percentage of offset was determined by the locations of actual people within the phantom matrix. That formulation was totally unworkable, and the concept was quickly abandoned. See the discussion at http://www.challengedance.org/sd/book3z.pdf
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