>[Oberdan:] I especially like the way the triangle is inverted as >the partners turn BH. > >[Malcolm/Helen:] In dances of this type, how do you think of the >triangle? Are the couples standing on the corners, or are they in >the middle of the sides - >I must confess to being inconsistent, in that I think of them on the >corners, whereas in a square set the couples are in the middle of the sides! >(Our friends seem to be fairly evenly split in their viewpoints)
A very interesting observation. Frankly, I have always thought of the
couples at the vertices (points) of the triangle and as I discuss
below, I think this is the more helpful view.
It would seem that it shouldn't really make a difference whether one
views the couple as at a vertex or along a side as long as one is
consistent. When the individuals of the couples are side-by-side
facing in, they look very much like a side of a triangle.
However, I believe the picture of the midpoint between the
individuals of a couple coinciding with a vertex of the triangle
makes it easier to keep the set aligned as an equilateral
triangle--each couple facing the center and facing the space between
the other two couples (all you geometry experts will remember that
the three perpendicular bisectors intersect at the center!). Also,
with the vertex view, when the couples turn BH, their turn is
centered on a vertex (of the inverted triangle). Moreover, when we
speak of progressing to positions around the triangle, it is easier
for me to think of those positions as one of the triangle vertices
rather than the midpoint of a side.
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