Like the True Lover's Knot, the Double Triangle is another of Regency-era dancing master Thomas Wilson's personally-created country dance figures, used, as far as I can tell, exclusively by Wilson himself. Since it is not a standard Regency figure, it is of limited utility. I myself would use it only if, for some reason, I were doing a very Wilson-focused workshop or event. In general country dancing, a lady calling "double triangle" will simply create confusion, since no one but a serious scholar of Wilson's work is likely to have the slightest idea what it is.
One reason to look at it in a bit more detail, however, is that Wilson himself seems to have been fond of it. It appears over and over in Wilson's own country dance figures. While I haven't made an exhaustive survey, it would not surprise me if he used it more than any other of his new figures. It appeared in numerous figures in Wilson's enormous compilation of country dance tunes, A Companion to the Ball Room (London, c1820) and in L'Assemblée (London, 1819), a book of forty-eight country dance tunes with accompanying figures. But it also turned up in figures Wilson did for books published by others. There are several occurrences of it in, for example, Thompson's 24 Country Dances For the Year 1813 and Thompson's 24 Country Dances For the Year 1817, both of which are advertised on their covers as including figures by Wilson.
Since this makes it a figure which dancers looking for country dance figures might come across and be puzzled by, and, I suppose, slightly more likely than most of Wilson's new figures to have filtered out into the world beyond his studio, it seems useful to talk a little about how to dance it and how to explain and teach it efficiently.
At left is the diagram of the Double Triangle as it appeared in the third (1811) and fourth (1822) editions of Wilson's An Analysis of Country Dancing. The 1811 edition is the earliest source I have for the figure.
This particular image (click to enlarge) is taken from the fourth edition. Calling the dancers' paths triangles involves a bit of artistic license, given the loops on the corners, but the connection between name and figure is clear.
Wilson's text, unfortunately, is not only completely dependent on the diagram, it's also confusing in referring to the active gentleman in two different ways:
The Lady at A moves in the direction a round the top Gentleman, then outside the second Gentleman, round the third Gentleman, and returns to her situation in the line b; at the same time the Gentleman at B moves in the direction c and performs the figure on the opposite side, returning to his situation in the direction d.
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