I've tried drawing this out on paper. I originally wrote "could be
considered" because I don't think "circles" is an accurate way of describing
the tracks of the dancing couple. Given that they start 1L behind 1M facing
man's first corner and end 1M behind 1L they cannot dance *round* that
corner in a circle unless they dance sideways. I don't think the whole
track is any simple mathematical shape (Adam may correct me again).
> Andrew Buxton wrote: > > > > I suppose the semi-circles at the extremity of each leaflet > could be > > considered concentric, but going in and out of each leaflet the dancers > are > > in tandem. > > <squeamish mathematician> > It is or it isn't concentric. There is no "could be"! Either they are > travelling concentric circles of different radii, or (as I recall the > dance) they are traveling along circles of similar radius, with their > partner at a constant distance and direction from them. > > If the dancers paths cross - the circles are not concentic... > </squeamish mathematician> > > Adam