I don’t have a television, so I don’t know the show. But, you might want to check out books by British cake decorator Leslie Herbert, especially her book called “Professional Touches.” She does a lot of what’s called “bridge extension work” using royal icing and very small tips (such as 0 or 00), where the lacy border literally juts out from the cake at an angle. It is unusual and very striking. This might be a place to start if you are thinking about trying your hand at this sort of thing.
Also, there are recipes in “Cake Bible” for royal icing along with instructions how to do string work.