A lobster quadrille is just a dance. The Dance is just like square dancing but only in a circle.There are two lines formed in the lobster quadrille. I think the reason that Alice is having a hard time remembering things because she is starting to wake up from her dream.She is starting to get back to reality. In the book the lines are repeated twice because the words are a song. IN most songs some of the lines are repeated more than once. The mock turtle and the Gryphon are arguing over the dance because they do not like each other and the two always think that they are right and never wrong.