1-4 TEAPOTS: right hands across, 2nd woman with 1st couple, 2nd man with 3rd couple dance;
5-8 TEAPOTS: 2nd woman with 3rd couple, 2nd man with 1st couple dance left hands across (end with 2nd couple in the middle right shoulder to right shoulder);
9-16 3-COUPLE FIGURE OF 8: 2nd man followed by 1st man and 1st woman, 2nd woman followed by 3rd woman and 3rd man, dance a figure of 8 passing right shoulders during the first half of the figure and left shoulders during the second half of the figure (end with 2nd couple passing left shoulders to end facing 1st corners);
17-24 HELLO-GOODBYE SETTING: 2nd couple set to 1st corners, each other, 2nd corners, and each other advancing slightly to end side by side facing down in the middle on own side;
25-32 LOOP PROGRESSION: 2nd couple followed by 1st couple dance down between 3rd couple, divide, and cast up along the side to top place (4 bars); then 1st couple followed by 3rd couple dance up between 2nd couple, divide, and cast down along the side, 1st couple end in 3rd place.
(Dance Crib compiled by the devisers, Maggie and Duncan Keppie)
For example - Watt's curve, a figure-eight shaped curve formed by a mechanical linkage. Watt's curve is the zero set of the degree-six polynomial equation
and has the lemniscate of Bernoulli as a special case.
I couldn't have put it better myself!