In this case (Ends Cast a Shadow while the Centers Counter-Rotate 1/4), I agree that Lines is the only reasonable interpretation.
But consider what happens if you start in Diamonds, and the Points do their part of Cast a Shadow. They can either go to End-of-Lines spots (opt for an H), or they can become Tandems on the outside (opt for an I, a.k.a. a Bone). The same ambiguity happens in an H when the Center Wave does a Lock It (either working Matrix, to make Diamonds, or working Triple Waves, to make perpendicular Triple Waves by having the outsides breathe outward). A similar issue arises with the Box of an Hourglass doing a Counter-Rotate, with the assumption that the Box is isomorphic to itself (creating a t-boned or "Dunlap" Hourglass -- if'n one Phantom Hourglass done lap over t'other), as opposed to having the Hourglass Points working as a Tandem and doing a Counter-Rotate around the outside (creating a Lantern or Tie-Fighter formation). If you have a choice of isomorphisms (Hourglass Points can be Ends of Lines, or Ends of Triple Lines, or Butterfly Ends), then disagreements can arise if you're not explicit about which one you want.
The modern preference for treating the Ends part of Cast a Shadow as being just an equivalent for Concentric Zig-Zag or Zag-Zig (i.e. Reverse Trixie) is somewhat distasteful to me, because it ignores the subtle nature of the definition, and the actual dance motions of the dancers.
Cast a Shadow has the Centers doing a Clover and Extend-Hinge-Extend. The Clover takes dancers to the outside in a very flexible way. The Extend takes dancers out of the middle in a way that vacates the center spots, and allows the Ends to breathe into the vacuum. The Ends are doing a Spread, which implicitly pulls in the Clovering dancers.
I recommend that you say what you want: "Ends Cast a Shadow, spreading all the way to become Ends of Lines, while the Centers Counter-Rotate 1/4" or "Ends Only, Cast a Shadow, Opt for Butterfly spots."
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Date: 2007-05-11 04:50 pm (UTC)But consider what happens if you start in Diamonds, and the Points do their part of Cast a Shadow. They can either go to End-of-Lines spots (opt for an H), or they can become Tandems on the outside (opt for an I, a.k.a. a Bone). The same ambiguity happens in an H when the Center Wave does a Lock It (either working Matrix, to make Diamonds, or working Triple Waves, to make perpendicular Triple Waves by having the outsides breathe outward). A similar issue arises with the Box of an Hourglass doing a Counter-Rotate, with the assumption that the Box is isomorphic to itself (creating a t-boned or "Dunlap" Hourglass -- if'n one Phantom Hourglass done lap over t'other), as opposed to having the Hourglass Points working as a Tandem and doing a Counter-Rotate around the outside (creating a Lantern or Tie-Fighter formation). If you have a choice of isomorphisms (Hourglass Points can be Ends of Lines, or Ends of Triple Lines, or Butterfly Ends), then disagreements can arise if you're not explicit about which one you want.
The modern preference for treating the Ends part of Cast a Shadow as being just an equivalent for Concentric Zig-Zag or Zag-Zig (i.e. Reverse Trixie) is somewhat distasteful to me, because it ignores the subtle nature of the definition, and the actual dance motions of the dancers.
Cast a Shadow has the Centers doing a Clover and Extend-Hinge-Extend. The Clover takes dancers to the outside in a very flexible way. The Extend takes dancers out of the middle in a way that vacates the center spots, and allows the Ends to breathe into the vacuum. The Ends are doing a Spread, which implicitly pulls in the Clovering dancers.
I recommend that you say what you want: "Ends Cast a Shadow, spreading all the way to become Ends of Lines, while the Centers Counter-Rotate 1/4" or "Ends Only, Cast a Shadow, Opt for Butterfly spots."